ALBERT

Notes: Abstract The parameter domain for which the quasi-steady state assumption is valid can be considerably extended merely by a simple change of variable. This is demonstrated for a variety of biologically significant examples taken from enzyme kinetics, immunology and ecology.

Notes: Abstract The ability of random fluctuations in selection to maintain genetic diversity is greatly increased when generations overlap. This result has been derived previously using genetic models with very special assumptions about the population age structure. Here we explore its robustness in more realistic population models, with very general age structure or physiological structure. For a range of genetic models (haploid, diploid, single and multilocus) we find that the condition for maintaining genetic diversity generalizes almost without change. Genetic diversity is maintained by selection if a product of the form (generation overlap)×(selection intensity)×(variability in the selection regime) is sufficiently large, where the generation overlap is measured in units of Fisher's reproductive value. This conclusion is based on a local evolutionary stability analysis, which differs from the standard “protected polymorphism” criterion for the maintenance of genetic diversity. Simulation results match the predictions from the local stability analysis, but not those from the protected polymorphism criterion. The condition obtained here for maintaining genetic diversity requires fitness fluctuations that are substantial but well within the range observed in many studies of natural populations.

Notes: Abstract Premised on relatively simple assumptions, mathematical models like those of Monod, Pirt or Droop inadequately explain the complex transient behavior of microbial populations. In particular, these models fail to explain many aspects of the dynamics of aTetrahymena pyriformis-Escherichia coli community. In this study an alternative approach, an individual-based model, is employed to investigate the growth and interactions ofTetrahymena pyriformis andE. coli in a batch culture. Due to improved representation of physiological processes, the model provides a better agreement with experimental data of bacterial density and ciliate biomass than previous modeling studies. It predicts a much larger coexistence domain than rudimentary models, dependence of biomass dynamics on initial conditions (bacteria to ciliate biomasses ratio) and appropriate timing of minimal bacteria density. Moreover, it is found that accumulation ofE. coli sized particles andE. coli toxic metabolites has a stabilizing effect on the system.

Notes: Abstract At the core of contemporarymorphometrics—the quantitative study of biological shape variation—is a synthesis of two originally divergent methodological styles. One contributory tradition is the multivariate analysis of covariance matrices originally developed as biometrics and now dominant across a broad expanse of applied statistics. This approach, couched solely in the linear geometry of covariance structures, ignores biomathematical aspects of the original measurements. The other tributary emphasizes the direct visualization of changes in biological form. However, making objective the biological meaning of the features seen in those diagrams was always problematical; also, the representation of variation, as distinct from pairwise difference, proved infeasible. To combine these two variants of biomathematical modeling into a valid praxis for quantitative studies of biological shape was a goal earnestly sought though most of this century. That goal was finally achieved in the 1980s when techniques from mathematical statistics, multivariate biometrics, non-Euclidean geometry and computer graphics were combined in a coherent new system of tools for the complete regionalized quantitative analysis oflandmark points together with the biomedical images in which they are seen. In this morphometric synthesis, correspondence of landmarks (biologically labeled geometric points, like “bridge of the nose”) across specimens is taken as a biomathematical primitive. The shapes of configurations of landmarks are defined as equivalence classes with respect to the Euclidean similarity group and then represented as single points in David Kendall'sshape space, a Riemannian manifold with Procrustes distance as metric. All conventional multivariate strategies carry over to the study of shape variation and covariation when shapes are interpreted in the tangent space to the shape manifold at an average shape. For biomathematical interpretation of such analyses, one needs a basis for the tangent space compatible with the reality of local biotheoretical processes and explanations at many different geometric scales, and one needs graphics for visualizing average shape differences and other statistical contrasts there. Both of these needs are managed by thethin-plate spline, a deformation function that has an unusually helpful linear algebra. The spline also links the biometrics of landmarks to deformation analysis of the images from which the landmarks originally arose. This article reviews the history and principal tools of this synthesis in their biomathematical and biometrical context and demonstrates their usefulness in a study of focal neuroanatomical anomalies in schizophrenia.

Notes: Abstract A competition model describing tumor-normal cell interaction with the added effects of periodically pulsed chemotherapy is discussed. The model describes parameter conditions needed to prevent relapse following attempts to remove the tumor or tumor metastasis. The effects of resistant tumor subpopulations are also investigated and recurrence prevention strategies are explored.

Notes: Abstract Increasing attention is being paid to the configuration and development of vascular structures and their possible correlations with physiological events. The study of angiogenesis in normal and pathological states as well as in the embryo and adult has provided new insights into the mechanism of vessel growth and organization of the vasculature. Various mathematical branching models have been developed. These constructions are mainly geometrical and only involve a branching phenomenon. We propose the use of a deterministic non-linear model based on physiological laws and hydrodynamics. Growth, branching and anastomosis, the three actual main events occurring in vascular growth, are included in this model. Space growth, including cells and vessels, is defined by a decreasing transformation. Space density and the length of new sprouts are controlled by a set of parameters. The conditions on these parameters are well established, which allows the production of realistic patterns.

Notes: Abstract The quasi-stationary distribution of a population within a system of interacting populations is approximated by a stochastic logistic process. The parameters of this process can be expressed in the parameters of the full system. Using the diffusion approximation, an expression for the expected extinction time is derived from this logistic process. Since the expected extinction time is expressed in the parameters of the full system, the effect of these parameters on the extinction risk can be easily evaluated, which may be of use for studies in ecology, conservation biology and epidemiology. The outcome is compared with simulation results for the case of a prey-predator system.

Notes: Abstract The cytokines are the information superhighway of the immune system. They are an important component of the integrated behavior of the system. In order to be able to have a good understanding of the immune system, we must be able to model the effect of cytokines and their combined effect. This work is a step in that direction. We study the combined effect of two cytokines: interleukin-2 (IL-2) and interleukin-4 (IL-4) on some cells of the immune system. Interleukin-2 and interleukin-4 are important growth and differentiation factors for B and T cells. Interleukin-4 antagonizes the effect of interleukin-2 on B cells and some T cells while it synergizes with interleukin-2 on other T cells. We build a mathematical model of the interaction of both cytokines on T and B cells as a building block toward a model of the Th1/Th2 cross-regulation. The response of a given cell to the combination of interleukin-2 and interleukin-4 is shown to involve competing dynamical effects which can lead to either antagnostic or synergistic combined effect.

Notes: Abstract We propose a mathematical approach to the modelling of self-organizing hierarchies in animal societies. This approach relies on a basic positive feedback mechanism that reinforces the ability of a given individual to win or to lose in a hierarchical interaction, depending on how many times it won or lost in previous interactions. Motivated by experiments carried out on primitively eusocial waspsPolistes, the model, is based on coupled differential equations supplemented with a small stochastic term. Numerical integrations allow many different hierarchical profiles to be obtained depending on the model parameters: (1) the particular form of the probability for an individual to win or lose a fight given its history, (2) the probability of interaction between two individuals, (3) the forgetting strength, which determines the rate at which events in the past are forgotten and no longer influence the force of an individual and (4) two individual recognition parameters, which set the contribution of individual recognition in the process of hierarchical genesis. We compare the results, expressed in terms of a hierarchical index or of the Landau number that describes the degree of linearity of the hierarchy, with various experimental results.

Notes: Abstract The normal process of dermal wound healing fails in some cases, due to fibro-proliferative disorders such as keloid and hypertrophic scars. These types of abnormal healing may be regarded as pathologically excessive responses to wounding in terms of fibroblastic cell profiles and their inflammatory growth-factor mediators. Biologically, these conditions are poorly understood and current medical treatments are thus unreliable. In this paper, the authors apply an existing deterministic mathematical model for fibroplasia and wound contraction in adult mammalian dermis (Olsenet al., J. theor. Biol. 177, 113–128, 1995) to investigate key clinical problems concerning these healing disorders. A caricature model is proposed which retains the fundamental cellular and chemical components of the full model, in order to analyse the spatiotemporal dynamics of the initiation, progression, cessation and regression of fibro-contractive diseases in relation to normal healing. This model accounts for fibroblastic cell migration, proliferation and death and growth-factor diffusion, production by cells and tissue removal/decay. Explicit results are obtained in terms of the model processes and parameters. The rate of cellular production of the chemical is shown to be critical to the development of a stable pathological state. Further, cessation and/or regression of the disease depend on appropriate spatiotemporally varying forms for this production rate, which can be understood in terms of the bistability of the normal dermal and pathological steady states—a central property of the model, which is evident from stability and bifurcation analyses. The work predicts novel, biologically realistic and testable pathogenic and control mechanisms, the understanding of which will lead toward more effective strategies for clinical therapy of fibro-proliferative disorders.

Notes: Abstract Populations often exhibit abrupt changes in abundance associated with a smooth, continuous change in some component of their environment, with the abruptness usually attributed to inter-specific interactions or physical extremes. This paper presents a spatially explicit single-species population model in which intra-specific interactions alone are responsible for such an abrupt change. The essential mechanism involves cooperation in both colonization (through enhanced recruitment near other individuals) and mortality (protection through a “safety-in-numbers” interaction). Large fluctuations in population density would likely be observable near the transition region.

Notes: Abstract A mathematical model of the nitrogen transformation cycle in an aquatic environment is studied. Using Pontryagin's maximum principle, a preferential utilization of ammonium to nitrate by phytoplankton is explained and verified by experimental data. A multiparameter bifurcation is given. The model was found to have four types of equilibrium sets. It is shown that a Hopf bifurcation may occur.

Notes: Abstract Parallel computation employing a domain decomposition method was used to calculate precisely without approximations the spatio-temporal distribution of Ca2+ in nerve terminals. The results showed, contrary to expectations, that for equal admitted Ca2+ currents at low (one channel open) and high (four channels open) depolarization, the average Ca2+ concentration at the release area is higher at the low depolarization. These calculations provide additional support for the Ca2+-voltage hypothesis for neurotransmitter release.

Notes: Abstract Type I hypersensitivity, which functions to protect the organism from parasites, is caused by binding of antigen to IgE antibodies pre-attached to the cell surface of tissue mast cells and their circulating counterparts, the basophils. In “allergy,” type I hypersensitivity is inappropriately induced by protein-based foreign substances (such as pollen) or protein components of insect stings, which in the normal course of events would be cleared from the organism without causing any damage. Paradoxically, a successful clinical treatment of allergy involves repeated immunization of allergic persons with low doses of the allergen—immunotherapy. Investigation of the available experimental evidence leads to the conclusion that the phenomena of immunotherapy are best addressed in terms of the interplay among the mechanism(s) of immune memory—Th1/Th2 cross-regulation—and the physical compart-mentalization of the immune system. These conclusions are illustrated with a numerical simulation.

Notes: Abstract In the presence of seasonal forcing, predator-prey models with quadratic interaction terms and weak dissipation can exhibit infinite numbers of coexisting periodic attractors corresponding to cycles of different magnitude and frequency. These motions are best understood with reference to the conservative case, for which the degree of dissipation is, by definition, zero. Here one observes the familiar mix of “regular” (neutrally stable orbits and tori) and chaotic motion typical of non-integrable Hamiltonian systems. Perturbing away from the conservative limit, the chaos becomes transitory. In addition, the invariant tori are destroyed and the neutrally stable periodic orbits becomes stable limit cycles, the basins of attraction of which are intertwined in a complicated fashion. As a result, stochastic perturbations can bounce the system from one basin to another with consequent changes in system behavior. Biologically, weak dissipation corresponds to the case in which predators are able to regulate the density of their prey well below carrying capacity.

Notes: Abstract The standard method for measuringin vitro antibiotic efficacy is based on a point observation of bacterial activity 18 hours after inoculation. The method, while simple, forgoes significant information by ignoring the dynamics of the interations between antibiotic and bacteria. This paper proposes a simple dynamic model describing these interactions. The model consists of two non-linear differential equations of the S-system type. Its parameter values are estimated, through the minimization of residual errors, from data on the effect of the carbapenem antibiotic imipenem onPseudomonas aeruginosa. The model adequately describes the dynamic behavior of the bacterial populations in the presence of the antibiotic: beginning with drug administration, then through the decline of the bacterial population and possibly ending with bacterial resurgence.

Notes: Abstract We have studied an ecological system of two species, which we denotestrong andweak, respectively, that compete for a single food resource. This system is modelled as a three component reaction-diffusion process. In the presence of a solitary pulse of increased resources, the weaker competitor can diffuse toward this surplus, gaining a competitive advantage and hence persisting in contraposition with the classical Lotka-Volterra result. An exact analytical solution has been found through a quantum mechanical analogy. A stability analysis of this solution against changes in different parameters has been carried out.

Notes: Abstract Collapsible-tube flow with self-excited oscillations has been extensively investigated. Though physiologically relevant, forced oscillation coupled with self-excited oscillation has received little attention in this context. Based on an ODE model of collapsible-tube flow, the present study applies modern dynamics methods to investigate numerically the responses of forced oscillation to a limit-cycle oscillation which has topological characteristics discovered in previous unforced experiments. A devil's staircase and period-doubling cascades are presented with forcing frequency and amplitude as control parameters. In both cases, details are provided in a bifurcation diagram. Poincaré sections, a frequency spectrum and the largest Lyapunov exponents verify the existence of chaos in some circumstances. The thin fractal structure found in the strange attractors is believed to be a result of high damping and low stiffness in such systems.

Notes: Abstract In this work, we show that a one-dimensional model of the blood flow across the lungs can reproduce the evolution of a bolus versus the time. Solving the differential equation governing the bolus concentration in the framework of this model, we determine the solution which fulfills Gaussian initial boundary conditions. An effective parameter related to the ratio of a diffusion coefficient to the square of the mean speed of the flow is defined. The determination of its numerical values following a semi-empirical approach enables us to know accurately the mean transit time and the cardiac output. The results have been compared to other methods, and were found in good agreement. Such an approach could be of interest in all studies where the knowledge of flow—including micro-circulation—is needed.

Notes: Abstract How two species interact during and after colonization influences which of them will be present in each stage of succession. In the tolerance model of ecological succession in a patchy environment, empty patches can be colonized by any species, but the ability to tolerate reduced resource levels determines which species will exclude the other. Here, we analyze a meta-population model of the possible roles of competition in colonization and succession, using non-linear Markov chains as a mathematical framework. Different kinds of competition affect the final equilibrial, abundances of the species involved in qualitatively different ways. An explicit criterion is given to determine which interactions have stronger effects on the final equilibrial levels of the weaker, species. Precise conditions are stated for the co-existence of both species. Both species are more likely to co-exist in the presence of an intermediate disturbance frequency.

Notes: Abstract A global kinetic analysis of a model consisting of an autocatalytic zymogen-activation process, in which an irreversible inhibitor competes with the zymogen for the active site of the proteinase, and a monitoring coupled reaction, in which the enzyme acts upon one of its substrates, is presented. This analysis is based on the progress curves of any of the two products released in the monitoring reaction. The general solution is applied to an important particular case in which rapid equilibrium conditions prevail. Finally, we suggest a procedure to predict whether the inhibition or activation route dominates in the steady state of the system. These results generalize our previous analysis of simpler mechanisms.

Notes: Abstract In this work, treating the artery as a thick-walled cylindrical shell made of an incompressible, isotropic and elastic solid, utilizing the large deformation theory and the stress-strain relation proposed by Demiray (1976b,Trans. ASME Ser. E, J. Appl. Mech.,98, 194–197), an explicit expression for the pulse speed is obtained and the effect of lumen pressure and the axial stretch on wave speed is discussed. Numerical results indicate that the wave speed increases with lumen pressure but decreases with the axial stretch. The results of the present model are compared with our previous work (Demiray, 1988,J. Biomech. 21, 55–58) on the same subject.

Notes: Abstract For a one-locus selection model, Svirezhev introduced an integral variational principle by defining a Lagrangian which remained stationary on the trajectory followed by the population undergoing selection. It is shown here (i) that this principle can be extended to multiple loci in some simple cases and (ii) that the Lagrangian is defined by a straightforward generalization of the one-locus case, but (iii) that in two-locus or more general models there is no straightforward extension of this principle if linkage and epistasis are present. The population trajectories can be constructed as trajectories of steepest ascent in a Riemannian metric space. A general method is formulated to find the metric tensor and the surface in the metric space on which the trajectories, which characterize the variations in the gene structure of the population, lie. The local optimality principle holds good in such a space. In the special case when all possible linkage disequilibria are zero, the phase point of then-locus genetic system moves on the surface of the product space ofn higher dimensional unit spheres in a certain Riemannian metric space of gene frequencies so that the rate of change of mean fitness is maximum along the trajectory. In the two-locus case the corresponding surface is a hyper-torus.

Notes: Abstract Most recent models of the immune network are based upon a phenomenological log bell-shaped interaction function. This function depends on a single parameter, the “field”, which is the sum of all ligand concentrations weighted by their respective affinities. The typical behavior of these models is dominated by percolation, a phenomenon in which a local stimulus spreads globally throughout the network. The usual reason for employing a log bell-shaped interaction function is that B cells are activated by cross-linking of their surface immunoglobulin receptors. Here we formally derive a new phenomenological log bell-shaped function from the chemistry of receptor cross-linking by bivalent ligand. Specifying how this new function depends on the ligand concentrations requires two fields: a binding field and a cross-linking field. When we compare the activation functions for ligand-receptor pairs with different affinities, the one-field and the two-field functions differ markedly. In the case of the one-field activation function, its graph is shifted to increasingly higher concentration as the affinity decreases but keeps its width and height. In the case of the two-field activation function, the graph of a low-affinity interaction is nested within the graphs of all higher-affinity interactions. We show that this difference in the relations among activation functions for different affinities radically changes the network behavior. In models that described B cell proliferation using the one-field activation function, network behavior was dominated by low-affinity interactions. Conversely, in our new model, the high-affinity interactions are the most significant. As a consequence, percolation is no longer the only typical network behavior.

Notes: Abstract The dynamics of a microbial community consisting of a eucaryotic ciliateTetrahymena pyriformis and procaryoticEscherichia coli in a batch culture is explored by employing an individual-based approach. In this portion of the article, Part I, population models are presented. Because both models are individual-based, models of individual organisms are developed prior to construction of the population models. The individual models use an energy budget method in which growth depends on energy gain from feeding and energy sinks such as maintenance and reproduction. These models are not limited by simplifying assumptions about constant yield, constant energy sinks and Monod growth kinetics as are traditional models of microbal organisms. Population models are generated from individual models by creating distinct individual types and assigning to each type the number of real individuals they represent. A population is a compilation of individual types that vary in a phase of cell cycle and physiological parameters such as filtering rate for ciliates and maximum anabolic rate for bacteria. An advantage of the developed models is that they realistically describe the growth of the individual cells feeding on resource which varies in density and composition. Part II, the core of the project, integrates models into a dynamic microbial community and provides model analysis based upon available data.

Notes: Abstract Mathematical models are developed for the chemotherapy of AIDS. The models are systems of differential equations describing the interaction of the HIV infected immune system with AZT chemotherapy. The models produce the three types of qualitative clinical behavior: anuninfected steady state, aninfected steady state (latency) and aprogression to AIDS state. The effect of treatment is to perturb the system from progression to AIDS back to latency. Simulation of treatment schedules is provided for the consideration of treatment regimes. The following issues of chemotherapy are addressed: (i) daily frequency of treatment, (ii) early versus late initiation of treatment and (iii) intermittent treatment with intervals of no treatment. The simulations suggest the following properties of AZT chemotherapy: (i) the daily period of treatment does not affect the outcome of the treatment, (ii) treatment should not begin until after the final decline of T cells begins (not until the T cell population falls below approximately 300 mm−3) and then, it should be administered immediately and (iii) a possible strategy for treatment which may cope with side effects and/or resistance, is to treat intermittently with chemotherapy followed by interruptions in the treatment during which either a different drug or no treatment is administered. These properties are revealed in the simulations, as the model equations incorporate AZT chemotherapy as a weakly effective treatment process. We incorporate into the model the fact that AZT treatment does not eliminate HIV, but only restrains its progress. The mathematical model, although greatly simplified as a description of an extremely complex process, offers a means to pose hypotheses concerning treatment protocols, simulate alternative strategies and guide the qualitative understanding of AIDS chemotherapy.

Notes: Abstract A stochastic cellular automata model for the population dynamics of the army antEciton burchelli on Barro Colorado Island in Panama is set up. It is simulated on the computer and shown to give good agreement with biological data. It is analysed using two approximations akin to the mean field approximation in statistical mechanics, and good agreement with the simulations is obtained. Finally, the role of distance between successive statary phase bivouacs is discussed with regard to the rate of colony growth. There are two aspects of the biological system studied here that make it of general importance. First, the population is structured, since the size of each colony of army ants is crucial. Second, the spatial behaviour of the population, as in many others, is not diffusion-like, although it is random. This has implications for the kind of model that is chosen.

Notes: Abstract An analytical model for thermal damage of retinal tissue due to absorption of laser energy by finite-sized melanin granules is developed. Since melanin is the primary absorber of visible and near-IR light in the skin and in the retina, bulk heating of tissue can be determined by superposition of individual melanin granule effects. Granules are modeled as absorbing spheres surrounded by an infinite medium of water. Analytical solutions to the heat equation result in computations that are quick and accurate. Moreover, the model does not rely on symmetric beam profiles, and so arbitrary images can be studied. The important contribution of this model is to provide a more accurate biological description of submillisecond pulse exposures than previous retinal models, while achieving agreement for longer pulses. This model can also be naturally extended into the sub-microsecond domain by including vaporization as a damage mechanism. It therefore represents the beginning of a model which can be applied across the entire pulse duration domain.

Notes: Abstract Most of the elastic tubes found in the mammalian body will collapse from a distended circular cross section and when collapsed may undergo flow-induced oscillations. A mathematical model describing fluid flow in a collapsible tube is analysed using the software package AUTO-86. AUTO-86 is used for continuation and bifurcation problems in systems of non-linear ordinary differential equations. The model is a third-order lumped-parameter type and is based on the classical “Starling resistor”; it describes the unsteady flow behaviour and, in particular, the experimentally observed self-excited oscillations, in a way which is simple enough to give physical understanding, yet still firmly based on fluid mechanical principles. Some of the bifurcation types found in this model bear close resemblance to the types suggested by experimental observations of self-excited oscillations in collapsible tubes; they thus shed some light on the various topological changes which occur in practice, particularly in view of the fact that some of the points found numerically are diffcult to achieve experimentally, while the existence of others can only be inferred indirectly and uncertainly from experiment.

Notes: Abstract A solution algorithm yielding the pressure and flow-rate distributions for steady flow in an arbitrary, tree-like network is provided. Given the tree topology, the conductance of each segment and the pressure distribution at the boundary nodes, the solution is obtained from a simple recursion based on perfect Gauss elimination. An iterative solution method using this algorithm is suggested to solve for the pressure and flow-rate distributions in an arbitrary diverging-converging (arterial-venous) network consisting of two tree-like networks which are connected to each other at the capillary nodes. A number of special solutions for tree-like networks are obtained for which the general algorithm is either simplified or can be replaced by closed form solutions of the pressure and flow-rate distributions. These special solutions can also be obtained for each tree of diverging-converging networks having particular topologies and conductance distributions. Sample numerical results are provided.

Notes: Abstract Previous game-theoretic models of reciprocity have assumed that populations are large and organisms effectively sessile. This paper analyzes an iterated prisoner's dilemma among non-sessile organisms in a finite population, on the assumption that an individual's chance of remaining in one place is not influenced by a partner's behavior. This mode of interaction is suitable for analyzing potentially cooperative behaviors that are secondary to the advantage of group formation, e.g. allogrooming among social mammals. The analysis yields necessary conditions for stable reciprocity in terms of three parameters, namely, a benefit/cost ratio, the probability of further interaction and the probability of partner retention. The results suggest that, in highly mobile organisms such as fish, birds and mammals, reciprocity may be stable only if the population is small and the relative benefit and future interaction probability are both large.

Notes: Abstract We consider the kinetics of an autocatalytic reaction network in which replication and catalytic actions are separated by a translation step. We find that the behaviour of such a system is closely related to second-order replicator equations, which describe the kinetics of autocatalytic reaction networks in which the replicators act also as catalysts. In fact, the qualitative dynamics seems to be described almost entirely be the second-order reaction rates of the replication step. For two species we recover the qualitative dynamics of the replicator equations. Larger networks show some deviations, however. A hypercyclic system consisting of three interacting species can converge toward a stable limit cycle in contrast to the replicator equation case. A singular perturbation analysis shows that the replication-translation system reduces to a second-order replicator equation if translation is fast. The influence of mutations on replication-translation networks is also very similar to the behavior of selection-mutation equations.

Notes: Abstract In this work, we studied the propagation of non-linear waves in a pre-stressed thin elastic tube filled with an inviscid fluid. In the analysis, analogous to the physiological conditions of the arteries, the tube is assumed to be subject to a uniform pressureP 0 and a constant axial stretch ratio λz. In the course of blood flow it is assumed that a large dynamic displacement is superimposed on this static field. Furthermore, assuming that the displacement gradient in the axial direction is small, the non-linear equation of motion of the tube is obtained. Using the reductive perturbation technique, the propagation of weakly non-linear waves in the long-wave approximation is investigated. It is shown that the governing equations reduce to the Korteweg-deVries equation which admits a solitary wave solution. The result is discussed for some elastic materials existing in the literature.

Notes: Abstract The present paper deals with the bifurcation analysis of a simple food chain model consisting of components like detritus, nutrients, microorganisms, phytoplankton and zooplankton in an aquatic environment. The food chain model is described by a system of differential equations. If the length of the food chain (LFCH) is equal to 3 or 4, then an asymptotically stable equilibrium exists. For LFCH=5 or 6 the non-trivial equilibrium is unstable and the food-chain model has periodic orbits.

Notes: Abstract We develop a macroscopic model for delivering drug to brain tumors. The model accounts for bulk convective and diffusive transport across the blood-brain barrier and through the interstitial space. Through mathematical analysis and simulations, we assess the effects of changing parameters (within physiological bounds) on drug delivery. We find that there is an optimal treatment for convective drug delivery to the center of the tumor. We interpret this phenomenon in terms of traffic flow. The implications of our analyses on existing chemotherapeutic protocols are discussed.

Notes: Abstract The concept of shape space proposed by Perelson and Oster (1979,J. Theor. Biol. 81, 645–670) has been a useful tool for theoretical immunologists, who have invoked it to model idiotypic binding, which plays a significant role in mathematical models of immune networks. The actual construction of such a space from its definition requires specialized experimental information, which is not completely available. In this article, we discuss, with illustrative examples, how graphical representations similar to the idea of shape space can be derived by analyzing real affinity matrices, and the relative merits of such representations to approximations that might be obtained by the approach of Perelson and Oster. We also give directions for future research with a view toward applications.

Notes: Abstract A novel intact circular dsDNA supercoil is proposed as an alternative to the conventional DNA supercoil, so that the two complementary strands of ssDNA circles are separable without any covalent bond breakage. This new structure can be visualized by using two tubings: one black and one clear. Twist the black tubing a number of times and connect its two ends. Do the same for the clear tubing. Then wrap the two tubings together. This forms the separable or novel supercoil. On the other hand, the conventional supercoil can be modeled by twisting the black and clear tubings together and then connect their respective ends, so that the two tubings are not separable unless one of them is cut. Experimentally, in the absence of any enzyme, many intact plasmid dsDNA circles give two bands on agarose gel electrophoresis under a certain given condition, while the same plasmid molecules after cutting once by a restriction enzyme give only one band under the same, condition. In the case of intact pUC19 plasmids, these two bands can then be, recovered and sequenced separately, using two primers in opposite directions. Each band gives mostly one sequence which is complementary to that of the other band. The combination of the above theoretical model and experimental results strongly suggests that there is an alternative structure of DNA which does not have the usual difficulty of unwinding, rewinding and requiring numerous covalent bond breakages and ligations during semiconservative replication.

Notes: Abstract The length of an alignment of biological sequences is typically longer than the mean length of its component sequences. (This arises from the insertion of gaps in the alignment.) When such an alignment is used as a profile for the alignment of further sequences (or profiles), it will have a bias toward additional sequences that match the length of the profile, rather than the mean length of sequences in the profile, as the alignment of these well entail fewer (or smaller) insertions) so avoiding gap-penalties). An algorithm is described to correct this bias that entails monitoring the correspondence, for every pair of positions, of the mean separations in both profiles as they are aligned. The correction was incorporated into a standard dynamic programming algorithm through a modification of the gap-penalty, but, unlike other approaches, this modification is not local and takes into consideration the overall alignment of the sequences. This implies that the algorithm cannot guarantee to find the optimal alignment, but tests suggest that close approximations are obtained. The method was tested on protein families by measuring the area in the parameter space of the phase containing the correct multiple alignment. No improvement (increase in phase area) was found with a family that required few gaps to be aligned correctly. However, for highly gapped alignments, a 50% increase in area was obtained with one family and the correct alignment was found for another that could not be aligned with the unbiased method.

Notes: Abstract As in Darwinian evolution, population fitness increases among replicating molecules whose propagation rate coefficients form a normal (symmetric) distribution, even when replication kinetics are fractional order.

Notes: Abstract Single-channel recordings from membrane patches frequently exhibit multiple conductance levels. In some preparations, the steady-state probabilities of observing these levels do not follow a binomial distribution. This behavior has been reported in sodium channels, potassium channels, acetylcholine receptor channels and gap junction channels. A non-binomial distribution suggests interaction of the channels or the presence of channels with different open probabilities. However, the current trace sometimes exhibits single transitions spanning several levels. Since the probability of simultaneous transitions of independent channels is infinitesimally small, such observations strongly suggest a cooperative gating behavior. We present a Markov model to describe the cooperative gating of channels using only the all-points current amplitude histograms for the probability of observing the various conductance levels. We investigate the steady-state (or equilibrium) properties of a system ofN channels and provide a scheme to express all the probabilities in terms of just two parameters. The main feature of our model is that lateral interaction of channels gives rise to cooperative gating. Another useful feature is the introduction of the language of graph theory which can potentially provide a different avenue to study ion channel kinetics. We write down explicit expressions for systems of two, three and four channels and provide a procedure to describe the system ofN channels.

Notes: Abstract A theory has been proposed that encompasses pre-replication changes in RNA synthesis and non-gradual variant formation, in addition to competitive replication. Using a fundamental theorem of natural selection and maximum principle scaled to nucleotide condensation, evolutionin vitro was demonstrated to maximally damp both kinetic and thermodynamic forces driving this reaction, from its pre-replication stage. This led to the finding that evolution follows a path of least action. These principles form the framework for a general theory of evolution, whose scope extends beyond evolution modeled by synthesis of non-interacting RNA molecules. It applies, in particular, to standard processes, such as competitive crystallization. In calculations simulatingde novo formation of self-replicating RNA molecules in the Qβ replicase system, spontaneous changes in strand secondary structure promoted the transition from random copolymerization to template-directed polymerization. This finding indicates selection preceded genome self-propagation. Non-gradual species formation was attributed to the presence of heterogeneous thermodynamic forces. Growth unconstrained by competition follows mutation to a variant able to utilize a free energy source alien to its progenitors. Evolution in a heterogeneous system can, therefore, exhibit discontinuous rates of species formation and spawn new species populations. Natural selection among competing self-propagators thus gives way to a principle of wider scope stating that evolution optimally damps the physicochemical forces causing change within an evolving system.

Notes: Abstract A unified approach is presented for the construction and analysis of models for the dynamics of populations and communities in the presence of temporal variability, vague density dependence, chaos or analytical intractability. The approach is based on comparisons involving simpler models which provide ceilings and floors to the densities predicted by the full models. The method is applied to examples of several types of models, including difference equations, ordinary differential equations, non-linear Leslie matrices and reaction-diffusion equations. The models treated describe various ecological phenomena including self-regulation, competition, predator-prey interactions, age structure and spatial structure. Some results needed for the analysis of matrix models and patch models are given in the Appendix.

Notes: Abstract An essentially new method to relate a number of taxa on the basis of a predefined set of dichotomous properties (i.e. either present or not present) is described. The basic step of the analysis is the derivation of a sophisticated distance measure to describe the pairwise dissimilarities quantitatively on the basis of the individual properties. The presentation of the dissimilarity matrix by a tree-like structure is an obvious step implicated by the the distance measure and is related to the widely used method of successive joining of nearest neighbors with respect to the distances. The distance measure makes no use of stochastic or other mathematical models of evolutionary processes and can be interpreted best in terms of discrete information theory.

Notes: Abstract The olfactory receptor neuron provides a good opportunity to analyze a biophysical model of a single neuron because its dendritic structure is simple and even close to a cylinder in the case of the moth sex-pheromone receptor cell. We have considered this cylindrical case and studied two main problems. First, we were concerned with the effect of the neuron's length on the receptor potential for a constant stimulus-induced conductance change. An analytical solution for the receptor potential was determined by using input, resistances. It was shown that the longer the neuron, the greater its ability to code over a wide range of values of the intensity of the stimulus. Second, we studied numerically the passive backpropagation of action potentials into the dendrite and its influence on the firing frequency. While propagating along the dendrite the action potential decreases in amplitude and its shape becomes rounded. The firing frequency in the model with backpropagation was found to be greater than that obtained analytically in the absence of backpropagation. However, for any given conductance change, when normalized with respect to their maxima, both firing frequencies were found to be very similar over a wide range of parameter values. Therefore, the actual firing rate (with backpropagation) may be approximated by the analytical solution without backpropagation if the actual firing rate for a large conductance change is known.

Notes: Abstract The effect of adding density-dependent migration between nearest neighbour populations of a single discrete-generation species in a chain of habitat fragments is investigated. The larger the population on a particular habitat fragment, the greater the fraction of inhabitants who migrate before reproducing. It has previously been shown for similar models with density-independent migration that coupling populations in this way has no effect on the stability of these populations. Here, it is demonstrated that this effect is also generally true if migration is density-dependent. However, if the migration rate is large enough and has density dependence of the correct form, then the steady state (with all the populations remaining at the same constant value through time) can be destabilised. The conditions for this to occur are obtained analytically. When this “destabilisation” occurs, the system settles down to an alternative steady state where half of the populations take one constant value which is below that of an equivalent isolated system, and the other populations all share a population value which is greater than the steady state of the isolated populations. Once this configuration is reached, the population size on each patch remains constant over time. hence the change might more properly be described as a decrease in homogeneity rather than in stability.

Notes: Abstract Yates-Pardee-type metabolic pathways in a heterogenous cell milieu are modeled as a system of coupled non-linear partial differential equations. A numerical solution to this systmm is described and some properties of such a physiological system are studied. Confinement with and without a membrane is considered and it is shown how confinement results in an increase in the stability of the metabolite concentrations. These results suggest that the enzyme organization may contribute to the stability of the cellular metabolism.

Notes: Abstract Modeling the growth of animals as parts of ecosystems often presumes the existence of an asymptotic weight which, when reached by the individual, stops its further growth. We show that the asymptotic weight is influenced by environmental conditions, and that growth is limited because of a trade-off of foraging costs and gain of feeding. We show that the so-called asymptotic mass is a comprehensive value, which also contains an environmental parameter. We develop our model for organisms of neutral buoyancy in an aquatic environment; for terrestrial and aerial animals it has limited validity only. We discuss examples and derive a critical value for resource availability in a habitat, which informs us whether foraging in that habitat is worthwhile or not.

Notes: Abstract Mathematical models for weed dispersal and control are developed, analyzed and numerically simulated. A model incorporating periodic control, e.g. herbicide application, is derived for a plant population in a spatially homogeneous setting. The model is extended to a spatially heterogeneous population where plant dispersal is incorporated. The dispersal and control model involves integrodifference equations, discrete in time and continuous in space. The models are analyzed to determine values of the control parameter that prevent weed spread. The effects of the control on travelling wave solutions are investigated numerically.

Notes: Abstract A new benthic sled is described.Favourable features of the sled include: simple operation, broad runners, balanced towing position, simple height adjustment of the sediment cutting edge and quick exchange of the collecting bag. Metallic parts are aluminium, making the sled light (15 kg). This sled has functioned well in coastal research for more than a decade.

Notes: Abstract The parasite faunas of snails, mussels, crustaceans and small-sized fishes were investigated over a period of six months in the Schlei fjord, on the Baltic coast of Schleswig-Holstein. Two sites differing in salinities were compared: Missunde with 5–9 ‰ and Olpenitz with 12–20 ‰. Prevalences, number of host-parasite combinations, numbers of core and secondary species were generally higher in Olpenitz than in Missunde. In the latter site, only prevalences of cestodans in planktic copepods and the number of rare species were apparent. Specificity of parasites was relatively high in snails, mussels and fishes, but lower in benthic crustaceans. Parasites may survive in an extreme environment like brackish water by means of special strategies which differ from those acquired in the marine milieu: suspension of specificity, adaptation to hosts which are genuine brackish water species, extension of host spectra, and shortening of life-cycles. Although the parasite communities of the Schlei fjord were primarily influenced by the prevailing salinities, the influence of other factors, e.g. environmental stress, was also confirmed. Whereas generally low prevalences in Missunde may contradict Thienemann’s biocoenotic rule, planktic parasites infested their hosts often at higher rates than in Olpenitz. This phenomenon is explained by the poorer environmental condition of the benthal zone in Missunde compared to that of the pelagial or the benthal zones of Olpenitz.

Notes: Abstract In July 1993, the car carrier “Faust” entered Bremerhaven after a voyage from the North-American Atlantic coast to Europe. In a dockyard, five living specimens of the order Polycladida were collected from the hull of the ship. This could be a possible case of trans-atlantic dispersal of plathelminths living as fouling organisms of ships. The specimens found represent a new species of the genusCryptostylochus Faubel, 1983,Cryptostylochus hullensis sp. nov.

Notes: Summary In the Wadden Sea area, a total of 248 (sub)species of vascular plants are threatened in at least one subregion. Of these, 216 (sub)species are threatened in the entire area and are therefore placed on the trialteral Red List. 17 (sub)species of the listed vascular plants are (probably) extinct in the entire Wadden Sea area. The status of 47 (sub)species of vascular plants is (probably) critical; 61 (sub)species are (probably) endangered; the status of 65 (sub)species is (probably) vulnerable and that of 26 (sub)species susceptible.

Notes: Summary In the Wadden Sea, in total, 93 species of macrofaunal benthic invertebrates are threatened in at least one subregion. Of these, 72 species are threatened in the entire area and are therefore placed on the trilateral Red List. 7 species are (probably) extinct in the entire Wadden Sea area. The status of 9 species of macrofaunal invertebrates is critical, 13 species are (probably) endangered, the status of 25 species is (probably) vulnerable and of 17 species (probably) susceptible.

Notes: Summary In the Wadden Sea, in total, 8 species of amphibians and 4 species of reptiles are threatened in at least one subregion. Of these, 7 species of amphibians and all 4 species of reptiles are threatened in the entire area and are therefore placed on the trilateral Red List. 1 species of the listed reptiles is (probably) extinct in the entire Wadden Sea area. The status of 1 species of amphibians is endangered, the status of (probably) 4 species of amphibians and 3 species of reptiles are vulnerable and of 2 species of amphibians susceptible.

Notes: Abstract From 1991 to 1993, two pairs of Water Rail were kept in differently designed aviaries. In the course of seven breeding cycles their behaviour was observed. After courtship and copulation the male chose the nest site and showed it to the female displaying a typical behaviour. Nest buildig was mainly carried out by the male; in most cases it lasts just one day. Eggs were laid each day, mainly in the early morning. Both partners shared incubation, the mean duration of the incubation interval was significantly longer in the female. Hatching occured asynchronously. The chicks stayed in their nest for approximately five days. Alternatingly both parents fed them and took them under their wings. By about 25 days the chicks were independent. Compared with recordings in literature there were no essential differences with free living pairs.

Notes: Abstract Data from approximately 200,000 birds caught during their stopover on southward migration at lake Constance (SW Germany) were analysed for the extent of migratory disposition. Variation in migration patterns (the increase in number of arriving birds) correlates well with the onset of migratory disposition in a sub-sample of approximately 13,000 first-captures of 58 species, mainly warblers (Acrocephalus, Sylvia, andPhylloscopus), tits, and thrushes. 72 % of all birds partially or fully renewed their body feathers during the study period, indicating that most birds were in the early stage of their migration. Body condition changed significantly with migratory disposition, thus fat deposition increased with decreasing moult intensity, whereas body mass of first captures increased very slowly over time in some species. Differences in ecophysiological parameters were tested among long-, intermediate- and short-distance migrants as well as between the pre-migration and the migration period. Long-distance migrants moulted fast, had a minimum stopover period of only 4.8 days and were considerably fatter than short-distance migrants. During migration 90 % of all individuals were captured only once. These “fast passage migrants” or transients can be distinguished from “longer resting birds” using captures if several factors including moult progress, moult intensity, fat deposition, season, capture time and habitat are considered. A discriminant analysis revealed that age and wing length also had a significant influence on the resting strategy in some populations. Combining results from multi-factor analyses and theoretical flight distance estimates variation in resting strategy supports a hypothesis of small stages and long stopover periods in most individuals and species.

Notes: Abstract Several hypotheses have been proposed in the literature to account for the different responses birds show to varying degrees of nest predation. These are discussed using data on Marsh and Reed Warbler (Acrocephalus palustris, A. scirpaceus) which differ greatly in nest predation even when they share the same habitat. Breeding success was distinctly higher in Marsh than in Reed Warblers per breeding attempt (averaging 68.1% and 44.9% respectively). Different levels of egg predation and Cuckoo (Cuculus canorus) parasitism were the main reasons. During an egg laying period of about 14 weeks Reed Warblers produce many replacement clutches and second broods resulting in an average annual reproductive output of 3.8 fledged young per female. The single brooded Marsh Warbler with a laying period of 7 weeks produces 3.3 fledglings. Differences in structure and seasonality of the species' respective habitats, i. e. reedbeds in Reed Warbler and herbaceous vegetation in Marsh Warbler, contribute to the differences in breeding success and the length of breeding periods open to the two species. Marsh Warblers respond to limited breeding opportunities due to their narrow breeding season with higher clutch size, and by avoiding nest losses. They conceal nests better, breed in lower densities, and efficiently reject Cuckoo eggs. Ecological constraints may restrain the Reed Warbler to its comparably unsafe nest sites. In other open-nesting and ecologically similar species pairs, a similar higher breeding success also occurs in those species that stay for a shorter period on the breeding grounds. It appears that high breeding success is an important prerequisite for species breeding in ephemeral habitats.

Notes: Abstract We measured the field metabolic rates of six incubating Avocets by the doubly-labelled water method in a colony on the North-Frisian Wadden Sea coast in 1994. The Avocets had a mean field metabolic rate of 5.04 W (SD±0.33 W), which is only 2.3 times their basal metabolic rate as calculated by the allometric equations ofKersten &Piersma 1987. The mean water contents of the Avocets was 66.8 % (SD±2,4 %). The water efflux was very high and showed a very high variation between the birds (mean 178 ml/day, SD±48 ml). Avocets with a low body mass (females) tended to have both higher water contents (in %) and higher water efflux rates than Avocets with a high body mass (males). A comparison with other studies reveals, that the field metabolic rates of waders during the breeding season are strongly influenced by the geographical position of their breeding sites and the related thermostatic costs.

Notes: Abstract In SW-Germany (Weinheim, 54.89 N; 34.76 E) some aspects of breeding biology of Great Tit were studied in forest patches with native versus exotic trees. Density of breeding pairs, breeding success, development of nestlings, food supply and foraging behaviour of feeding adults were compared between five patches with native and ten patches with exotic trees. Clutch size, hatching and fledging rates did not differ between the two vegetation types. Breeding densities as well as the patch size related production of hatched and fledged young were higher in native than in exotic forest patches. Caterpillar density was higher in native vegetation and the body mass of nestlings in such patches were clearly heavier than those of birds raised in exotic vegetation. Feeding adults in all vegetation types left the breeding patches to search for food but birds from exotic patches did this to a higher degree. Adults, especially those from native vegetation avoided exotic trees while foraging. Broad leafed exotic tree species were sometimes searched only by birds breeding in such vegetation. If exotic trees are favoured by afforestation measurements, a reduction of coniferous and mixing with native trees should be preferred to improve these habitats for birds.

Notes: Abstract Microclimate of 10 roost sites selected by Starlings was measured with minimum thermometers during two winter months. A significative difference between urban and surrounding countryside underlines the advantage to roost in the city.

Notes: Abstract With a new standardized moon-watching method nocturnal bird migration was studied over southern Germany, the area of the Alps and northern Italy in autumn 1994 and spring 1995. Simultaneous observations from more than 300 sites showed that in autumn broad front migration was deviated and concentrated along the northern border of the Alps. Migration was concentrated in the Swiss lowlands by a factor 2 to 3 compared to southern Germany. Notable concentrations occurred also along the upper Rhine valley. Even under clear sky only about 20 to 30 % of the migrants continued their flight over the mountain ridges towards Italy. South of the Alps an important part of migration consisted of birds flying westwards, parallel to the border of the mountain ranges. Similar migratory intensity in autumn and in spring over northern Italy suggest concentrated spring migration south of the Alps. This idea is based on the fact that intensity of observed migration is lower to the north of the Alps and in general the expected density of migration is lower in spring (radar data and few moonwatching data). In principle, results showed that confronted with a mountain range (Vosges, Jura, Alps), most migrants prefer to deviate slightly from their innate migratory direction, instead of climbing up above the ridges, where they might encounter unfavourable winds.

Notes: Abstract The Scarlet-collared FlowerpeckerDicaeum retrocinctum of the Philippine island of Mindoro has been sighted nine times on neighbouring Panay (1992) and twice on Negros (1993, 1994). The possibility that these new records and others in the recent past reflect changes in the Philippine biota due to the rampant destruction of forests deserves close attention. Based on an inspection of museum skins ofD. retrocinctum (12 males, 14 females) there is discontinuous variation of the red neck collar consisting of three distinct variants which may be due to age differences.

Notes: Abstract The results of more than two decades of intensive research on the physiological and biochemical features of the lugworm are reviewed with the aim of drawing a general and comprehensive picture of the adaptation of this species to the special conditions of living in the tidal zone, which may also hold true for the majority of invertebrates found in this habitat.

Notes: Abstract Temperature requirements for growth, reproduction and formation of macrothalli of a day-neutral strain ofScytosiphon lomentaria from the Gulf of Thessaloniki were experimentally determined and correlated with the geographic distribution in the North Atlantic Ocean. The microthallus grew in a wider temperature interval and better at higher temperatures than did the macrothallus. Germlings acclimated to 5 or 15°C grew sufficiently (〉20% of maximum rate) and developed into macrothalli at 5–25°C and 5–27°C. Macrothalli acclimated to 10 or 15°C grew sufficiently at 5–20°C. Macrothalli acclimated to 15°C survived at −1°C and reproduced at 5 to 23°C. Regardless of the acclimation temperature, germlings and macrothalli grew optimally (〉80% of maximum rate) at 15–25°C and at 10–15°C. The experimental data explain only the southern distribution boundary ofScytosiphon in the North Atlantic. This boundary is composite in nature: on the European coasts it is a growth boundary, whereas on the American coasts it is a lethal one.

Notes: Abstract Sulfide concentrations were measured in the inner and outer Königshafen (Sylt, Wadden Sea) from November 1990 to December 1991 to assess the fluctuations of sulfide levels in natural tidal habitats. Three different areas were compared: (1) muddy sediment (2) fine-medium sand, and (3) a mussel bed. Other abiotic factors such as Eh, pH, temperature, grain size and organic content were measured. After assessment of the macrofaunal distribution, an attempt was made to relate the distribution to the sulfide concentrations in the benthic habitat. Sulfide concentrations varied between sites throughout the year with considerable differences ranging from below 5 μM (limit of detection) to about 1 mM (Oct. 1991). The faunal composition (Table 2) at the different sites hardly varied; it was always dominated by annelids: The cirratulidTharyx marioni was the most abundant species in the upper layers of all sites, where it occurred at low sulfide concentrations (〈50 μM).Heteromastus filiformis was commonly found in the deeper sediment layers of the muddy site where it was regularly exposed to sulfide levels around 75 μM and peak concentrations in autumn up to 1 mM.Capitella capitata, Tubificoides pseudogaster andTubificoides benedii were very common in the upper sediment layers where sulfide levels were about 150 μM in autumn. These species also occurred, however, in the deeper layers with higher sulfide concentrations. These results document not only the wide annual range of sulfide concentrations at different depths in a tidal flat, they also emphasize that under natural conditions tidal flat annelids are exposed to considerable concentrations of hydrogen sulfide.

Notes: Abstract ThePseudo-nitzschia flora of the Skagerrak, North Atlantic, and adjacent waters, comprisingP. pungens, P. multiseries, P. seriata, P. fraudulenta, P. heimii, P. delicatissima, andP. pseudodelicatissima, has been examined. Except forP. australis, allPseudo-nitzschia species shown to produce the toxin domoic acid are present in the area although an outbreak of amnesic shellfish poisoning has never been reported. For comparison of morphological and taxonomic characters,Pseudo-nitzschia seriata f.obtusa, P. australis, P. subfraudulenta, P. subpacifica, P. lineola, P. inflatula, andP. cuspidata have been included in this investigation. Fine details of band structure and poroid occlusions, previously ignored or unresolved, have proven to add to the morphological distinction betweenP. pungens andP. multiseries, P. seriata andP. fraudulenta, P. seriata andP. australis, andP. delicatissima andP. pseudodelicatissima. Additional information on the structure of the proximal mantle compared to that of the valve face has revealed similarities in most of the species but differences betweenP. pungens andP. multiseries. The species seasonal and long-term distributional patterns during the sampling period (October 1978 through September 1993) in the Skagerrak area are outlined. The greatest abundances ofP. seriata, a cold-water species most likely restricted to the northern hemisphere, occurred in the spring, and those of the presumably cosmopolitan diatomsP. pungens, P. multiseries andP. pseudodelicatissima, in the autumn. WhereasP. multiseries seems to have decreased in abundance in the 1990s,P. pseudodelicatissima has apparently increased.

Notes: Abstract The mesoparasitic copepodLernaeocera lusci (Bassett-Smith, 1896) was recovered from first-year bib (Trisopterus luscus L.) in the Voordelta (Southern Bight of the North Sea) from May until December 1989. Analysis of the seasonal abundance and of the population structure showed that transmission of infective stages to bib mainly occurred from June to September. From September to December the overall prevalence fluctuated around 70%. Maximum parasite population size (47/104m2) and the highest total egg number were recorded in September and October, respectively. It was found that total parasite mortality was significantly influenced by mortality of hosts carrying parasites. Natural mortality probably contributed a small percentage to total parasite mortality. Calculation of the temporal mean-variance regression equation revealed that the parasites were aggregated within the definitive host population.

Notes: Abstract The horizontal mesoscale distribution ofMarenzelleria viridis (Verrill, 1873), a spionid polychaete introduced from North American coastal waters during the 1980s, was studied in shallow water in the southern Baltic (German coast). The polychaete achieved an individual dominance of 80% and abundances up to around 8500 ind./m2. Samples taken from a small (1.2 m×1.2 m, 6×6 samples, depth 0–35 cm) and a large station grid (5.5 m×5.5 m, 11×11 samples, depth 0–35 cm) were used to calculate dispersion indices for subpopulations of adult and juvenileM. viridis and subdominant chironimids (theChironomus plumosus andCh. halophilus complexes). The distribution patterns were significantly patchy. The patch sizes were estimated with the help of the dispersion indices and by analysing the correlograms in which spatial autocorrelations such as Moran's I and Geary's c values were plotted versus the field distance k. The patch sizes were heterogenous. The smallest patches found were 0.04 m2. The largest sizes observed were 9 m2. It is conceivable that smaller patches merge to form larger aggregations. Calculation of the abundance and rank correlations between subpopulations revealed significant positive relationships. These indicate principal suspension feeding. Sediment structure, substrate preference, feeding mode and biotic or abiotic attraction centres are considered to be the main causes of aggregation and the positive correlations.

Notes: Abstract Tributyltin (TBT) exposure at different concentrations (5, 60, and 100 ng TBT as Sn/l) induces a concentration- and time-dependent imposex (=pseudohermaphroditism) development in femaleNucella lapillus andHinia reticulata. In both species the average imposex stage, termed as vas deferens sequence (VDS) index, and the average female penis length increases with increasing TBT concentration and duration of TBT exposure. Testosterone added at a concentration of 500 ng/l induces a faster and more intensive imposex development compared to that induced by the TBT concentrations used in the present experiments. Radioimmunological determination of endogenous steroid content reveals increasing testosterone titres in female gastropods exposed to TBT which correlate with the TBT concentration used and the duration of the experiment. The most marked and highest increase of the endogenous testosterone level is exhibited by females, of both species exposed to testosterone. Simulataneous exposure to TBT and to the antiandrogen cyproterone acetate which suppresses imposex development completely inN. lapillus and reduces imposex development strongly inH. reticulata proves that the imposex-inducing effects of TBT are mediated by an increasing androgen level and are not caused directly by the organotin compound itself. Further-more, TBT-induced imposex development can be suppressed in both snails by adding estrogens to the aqueous medium. These observations suggest that TBT causes an inhibition of the cytochrome P-450 dependent aromatase system which catalyses the aromatization of androgens to estrogens. The increase of the androgen content or the shift of the androgen-estrogen balance in favour of androgens induces the development of pseudohermaphroditism in marine prosobranchs. Artificial inhibition of the cytochrome P-450 dependent aromatase system using SH 489 (1-methyl-1,4-androstadiene-3,17-dione) as a steroidal aromatase inhibitor and flavone as a nonsteroidal aromatase inhibitor induces imposex development inN. lapillus as well as inH. reticulata.

Notes: Abstract The reproductive period and life-history parameters were investigated for the hoplonemertineAmphiporus lactifloreus found on the tidal flats of the island of Sylt in the northern Wadden Sea. Every six weeks 20 individuals were collected and then histologically examined to determine the development stage of their reproductive organs.A. lactifloreus reproduces in the late autumn, its peak reproduction being in the second half of November. Individuals from all size classes 〉20 mm body length produced gametes. Individuals of the cohorts that reproduced in the late autumn of 1992 persisted and grew until July 1993, indicating thatA. lactifloreus is an iteroparous species. The length of relaxed individuals was significantly correlated with their length under anaesthetized conditions, but the regression changed significantly after the reproductive period. Length under ‘relaxed’ conditions was significantly correlated with weight (wet weight, dry weight, and ash-free dry weight); these relationships did not vary significantly before or after the reproductive period. Our results show that important life-history data of intertidal nemertines can be obtained without time-consuming histological studies. On the basis of these findings, recommendations for future studies on the population biology of intertidal nemertines are given. Regular length measurements of nemertines under ‘relaxed’ conditions are proposed as a useful tool for tracking the growth and survival of annual cohorts of intertidal nemertines.

Notes: Abstract The hunting behavior of Woodchat Shrike in Northern Switzerland was studied by visual observations of five pairs in 1994. Data on food supply were collected by standardized observations in half-circles of 1 m radius. During warm and dry weather the activity of the insects increased. More insects were seen in high than in short vegetation. The Woodchat Shrikes either hunted on the ground (64% of all hunting flights) or in the air (36%). The energy gain in ground-huntings was higher than in flycatching due to larger average prey size and a shorter hunting distance. Ground huntings occured mainly in areas with short vegetation (7 cm high on average). The birds only fed on arthropods, preferring larger seizes. During bad weather they were dependant also on smaller prey. The proportion of time the adults spent in flight was longest during the nestling season. In bad weather, hunting activity was slightly increased during incubation and nestling stage but low before incubation and after fledging of the young. For hunting over short vegetation the birds seemed to spent less time in flight than for hunting over high vegetation.

Notes: Abstract The position of the hybrid zone between the House SparrowPasser domesticus domesticus and the Italian SparrowP. d. italiae in the northern part of the Alpes Maritimes was determined, with surveys being undertaken at 41 sites. The position of the hybrid zone has recently changed, and may still be in a state of flux. Possible reasons for this are discussed.

Notes: Abstract Data of 37 Red-necked Nightjar nests were collected during four seasons in a locality of southern Spain. Breeding season elapsed from late May to early August with two clutches laid. Mean brood size was 1.59 (N=29) for successful nests and 1.24 (N=37) for all nests. Nest failure was due to agricultural work and predation byLacerta lepida. The percentage of eggs that successfully became a fledgeling was significantly higher for cltuches found in May than in June or July. The median laying and hatching dates were 7 and 19 June respectively. Incubation period recorded was 17 days. Hatching date, but not laying date, significantly varied among years. These results are compared with those available for the European Nightjar C.europaeus.

Notes: Abstract The feasibility of using Buzzards found dead as indicators of environmental contamination was tested. Liver, kidney, and tibia specimens were examined for the presence of Cd, Cu, Pb, Mn, and Fe, which were used as markers. All buzzards submitted to the Veterinary Institute in 1992 were examined for cause of death and condition. Results showed that more than half had been poisoned or shot. As the condition of the birds worsened, fat reserves were depleted before protein reserves. Concentrations of the heavy metals rose in liver and kidney as nutrient reserves fell. Since the content of heavy metal per organ was not related to body condition, content was considered a better measure for biomonitoring. The concentrations of Cd, Cu, Pb, Mn, or Fe measured in buzzards were not toxic. In several places buzzards had recently ingested relatively large amounts Cd and/or Pb. Buzzards with high contents of Cd, Cu, Pb, and Mn were found in areas having more than average contamination. The North-South gradient in aerosol deposition and soil content of heavy metals (especially Cd & Pb) was reflected in the Buzzard. We concluded that the Buzzard is a suitable and cost-effective biomonitor, to investigate the bioavailability of ecocontaminants in large areas, to signal gross changes in food webs, and to monitor raptor persecution.

Notes: Abstract All tested blood parameters are within the expected range for birds (Tab. 1). Starlings show a high rate of alcohol resorption. Experimentally ingested (per os) doses of 1, 2 and 3 g/kg ethanol (10 %-solution) were completely absorbed from the digestive tract within at least 30 min. Extraintestinal metabolic alcohol degradation is also very fast. Within 130 min even 3 g/kg ethanol were completely metabolised (blood alcohol values did not exceed 145 mg/l; Tab. 2, Fig. a). Alcoholdehydrogenase (ADH) activity is very high (ca. 14-fold of man) and shows a clear and fast adaptive plasticity in correlation to ingested alcohol concentration (Fig. b). There seems to be a clear pre-adaptation in ADH-activity in birds. We found low values in seed-eating birds and high values in fruiteaters. Under field conditions normal alcohol concentration as found in fermentated fruits and berries are so low, that — in connection with high ADH-activity — birds obviously have no problems to cope with alcohol.

Notes: Abstract The mitochondrial cytochrome b gene was amplified by PCR and sequenced directly in 21 shearwaters and 14 gulls. Within the monophyletic herring gull complex which is closely related and of recent origin, the Mediterranean herring gull (L. cachinnans) appears to be genetically distinct, thus confirming our preliminary study (Wink et al., 1994). The genetic speciation ofP. puffinus andP. yelkouan (Wink et al., 1993b) was also corroborated. Within theCalonectris diomedea-complex, the existence of at least three different maternal lineages became obvious besides a genetic differentiation between the 2 subspeciesC. d. diomedea andC. d. borealis, a pair of maternal lines was found within theC. d. diomedea group. Since birds belonging to one of these 2 maternal lineages were found in 3 to 5 of the mediterranean populations, a dispersion of female shearwaters throughout the range is suggested.

Notes: Abstract During long term studies on the ecology of alpine tit populations we performed a supplementary feeding experiment to test for the influence of nutrition on egg size in the Great Tit. All measurements of egg size in females that utilised the supplementary food (mixture of curd, minced beef heart and dried insects) increased statistically significant, whereas clutch size was not influenced by the additional food. These results support the hypothesis that females spend surplus energy in the single eggs of their clutch and not in producing additional eggs. Breeding success is positively correlated with egg size. Therefore increasing egg size leads to a higher breeding (= fledging) success than enlarging clutch size. The ecological impact of increasing egg size with altitude is discussed in the light of the supplementary feeding experiment. As genetic adaptations are not to be expected because of the high gene flow, larger eggs at higher altitudes could be the result of short, but regular gradations of insect populations and therefore optimal supply with prey. Whether additional food or the quality of parents being able to hold optimal territories is the most important ultimate factor influencing egg size in Great Tits remains to be tested by cross-foster experiments.

Notes: Abstract Ceryle rudis syriaca Roselaar, 1995 was separated from nominaterudis only by its longer wings. As variations in the wing length ofCeryle rudis follow Bergmann's rule, it is suggested thatsyriaca is not recognised as a separate named taxon.

Notes: Abstract The study deals with the occurrence of extra-pair copulations within a Pied Flycatcher population near Lingen/Emsland (52.27° N, 7.15 ° E) in northern Germany. As a whole, 31 Pied Flycatcher broods were investigated using oligonucleotide DNA finger-printing. In 4 broods (12.9 %) a sum of 9 nestlings were found to be due to extra-pair copulations of the females. Their proportion with regard to the total number of nestlings investigated (n=165) amounts to 5.5 %. Integrating the pairing status of males into the analyses a significant difference was found: Only one of 20 obviously monogamous males was cuckolded, while for 3 of 7 bigyneous males' nestlings were identified that resulted from extra-pair copulations of the females. The proportion of cuckolded bigyneous males may be even underestimated, because in three cases the primary broods could not be investigated.

Notes: Abstract By studying the flight behaviour of Great Tits at a nest box the possibilities and boundaries of using a commercial camcorder with high speed shutter for documentation and description of bird flight are presented: Documentation of scenes, to and fro flight behaviour, stereotypes, distances, velocities, accelerations and decelerations, path of points, beating frequencies, angles, areas of wings and tails, estimation of forces and moments, compensatory beats, flying behaviour including hovering and other aspects. By this paper it is hoped to encourage ornithologists to make more frequent use of their camcorders for bird flight documentation and analysis.

Notes: Abstract Night migrants generally terminate migration during the night or before sunrise and usually land in their species-specific habitats. In order to get insights into their behaviour during and after landing, habitat selection of small passerines was examined during ground fog in a sequence of habitats at the shores of Lake Neuchâtel. On days with ground fog,Erithacus rubecula,Turdus merula andSylvia atricapilla, depending on wood and bushes, were caught in higher relative and absolute numbers on the dune and in the reed-beds which they meet first when flying across the lake, than on days without ground fog.Acrocephalus scirpaceus, a typical reed species, however, was more concentrated in the reed-belt during ground fog than without fog. A day-migrant and a group of sedentary species showed no significant differences. This indicates that visual cues are important when selecting habitats during nocturnal landing. The diurnal distribution of captures and the fat scores ofErithacus rubecula indicate that most individuals caught in the reed-bed and many on the dune had been migrating the previous night. During the first day-light hours, Robins in the reed-bed disperse, probably to more appropriate habitats, irrespective of fog, while Robins that have landed on the dune wait until fog has dissolved.

Notes: Abstract The social development of individually marked Spectacled Parrotlets was studied in their natural habitat in Colombia from the fledging day onwards up to five weeks later. The parents actively reassembled their family by guiding the second and subsequent fledglings, which were leaving the nest in intervals of 1–2 days into the tree where their previously fledged nest mates were staying. Several neighbouring breeding pairs assembled their offspring in the same tree and established a crèche there. They deprived their newly fledged offspring of affiliative interactions from the first day after fledging onwards. The parents stayed in the vicinity of the crèche locality for short periods only. Most of the time they were out, mainly for foraging activities. After returning they fed exclusively their own young. In the evening the pairs guided their offspring into high and dense roosting trees, and every morning the crèche was re-established. The fledglings passed through four developmental periods. (1) A short period of strong affiliative relationships with the parents. (2) A period of interactions with their siblings as well as with unrelated juveniles of approximately the same age in an immobile crèche. (3) A mobile crèche period in which all crèche members together explored the environment of the crèche tree. (4) A period in which the crèchlings established strong sibling relationships and finally became independent of the parents. Socialization in crèches and long-lasting sibling relationships might be the outcome of an early parent-offspring conflict that is decided predominantly by the parents. It enables the parents to prepare themselves for a subsequent breeding period by minimizing the time they spend with the young, which nevertheless are provided with excellent conditions for socialization.

Notes: Abstract A population of Garden Warbler was studied in a natural habitat in the Urseren valley (1500 m a. s. l.) for 7 years. The aim of this study was to describe the migration phenology and to evaluate if a self-sustainable population of this long distance migrant can exist under unfavourable climatic conditions. In spring, the Garden Warblers arrive about 3 weeks later, but in late summer they leave their territories at the same time as their conspecifics in the lowlands. Possible consequences of the restricted breeding period for juvenile development and migration schedule are discussed. In the study area, a very high breeding density (25 territories/10 ha) was recorded. The birds show a remarkable breeding and natal site fidelity (48 % of adults and 6 % of nestlings returned the following year). The overall breeding success was 48 %. The main causes of failure were predation and bad weather events. The latter were responsible for the annual fluctuations of breeding success. In conclusion, this study confirms that self-sustainable populations of this long-distance migratory species exist in mountain habitats.

Notes: Abstract The unique female-plumaged type specimen (Zoologisches Museum Berlin 49.296) of the Superb Bird of ParadiseLophorina superba pseudoparotia Stresemann 1934 is in fact a hybrid. It is the product of the first recorded hybridization betweenL. superba andParotia carolae (Paradisaeidae), and the first hybrid known to involve the latter species. Morphological and biometrical comparisons are presented to demonstrate that the hybrid individual is nearly perfectly intermediate between the putative parent species in colouring and dimensions, indicating that, like other recorded hybrid birds of paradise, it is a first generation cross.

Notes: Abstract We investigated the variability of song in the Great Reed Warbler within a colour ringed population at the Müggelsee in Berlin. The repertoires of 10 individual males contained between 42 and 54 syllable types. The males showed a relatively high rate of syllable sharing in their songs (0.69 to 0.90). These similarities show a weak negative correlation with the distance of the territories involved. Quantitative and qualitative parameters in the song of individual males changed significantly within a breeding season as well as between seasons. This indicates that the birds are either able to learn new syllables during their lives or that they use different parts of a given pool of syllables. Songs recorded within a circle of about 40 km around the study site show more similarities than between songs of birds from more distant populations. Probably, this area represents the range of regular dispersal.

Notes: Abstract A low presence of haematophagus parasites has been reported in arctic waders. Three hypotheses try to explain these low levels: higher inherent resistance to parasites in the Charadrii, lower presence of parasites in the breeding grounds of waders in the arctic, and influence of the vegetation structure in the habitat of these birds. To test these hypotheses, we took blood samples from 87 alive-trapped Kentish PloversCharadrius alexandrinus nesting in Northeast Spain. None of the samples had haematophagus parasites. Therefore, very low infection rates occur also in a non-arctic species. These data support the hypotheses that Charadrii have a higher resistance or a lower probability of being infected by blood parasites than other taxa, independently of their breeding distribution.

Notes: Abstract Hybridisation between House and Tree Sparrows is reported from islands off the coast of Northern Norway, including observed mating attempts in two different mixed pairs, and the breeding success in a third mixed pair. The biometrics of hybrid offsprings were intermediate between the parents. The hybridisation probably involve only inexperienced individuals and may have been facilitated by the spatially division of the population into small island subpopulations.