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  • 2015-2019  (85,862)
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  • 1
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    Bulletin of mathematical biology 52 (1990), S. 153-197 
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract It is suggested that a system of chemical substances, called morphogens, reacting together and diffusing through a tissue, is adequate to account for the main phenomena of morphogenesis. Such a system, although it may originally be quite homogeneous, may later develop a pattern or structure due to an instability of the homogeneous equilibrium, which is triggered off by random disturbances. Such reaction-diffusion systems are considered in some detail in the case of an isolated ring of cells, a mathematically convenient, though biologically unusual system. The investigation is chiefly concerned with the onset of instability. It is found that there are six essentially different forms which this may take. In the most interesting form stationary waves appear on the ring. It is suggested that this might account, for instance, for the tentacle patterns onHydra and for whorled leaves. A system of reactions and diffusion on a sphere is also considered. Such a system appears to account for gastrulation. Another reaction system in two dimensions gives rise to patterns reminiscent of dappling. It is also suggested that stationary waves in two dimensions could account for the phenomena of phyllotaxis. The purpose of this paper is to discuss a possible mechanism by which the genes of a zygote may determine the anatomical structure of the resulting organism. The theory does not make any new hypotheses; it merely suggests that certain well-known physical laws are sufficient to account for many of the facts. The full understanding of the paper requires a good knowledge of mathematics, some biology, and some elementary chemistry. Since readers cannot be expected to be experts in all of these subjects, a number of elementary facts are explained, which can be found in text-books, but whose omission would make the paper difficult reading.
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  • 2
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    Bulletin of mathematical biology 52 (1990), S. 319-334 
    ISSN: 1522-9602
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  • 3
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    Bulletin of mathematical biology 52 (1990), S. 335-337 
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  • 4
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    Bulletin of mathematical biology 52 (1990), S. I 
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    Bulletin of mathematical biology 52 (1990), S. 335-348 
    ISSN: 1522-9602
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    Topics: Biology , Mathematics
    Notes: Abstract The classical metaphor of the genetic program written in the DNA nucleotidic sequences is reconsidered. Recent works on algorithmic complexity and logical properties of computer programs and data are used to question the explanatory value of that metaphor. Structural properties of strings are looked for which would be necessary to apply to DNA sequences if the metaphor is to be taken literally. The notion of sophistication is used to quantify meaningful complexity and to distinguish it from classical computational complexity. In this context, the distinction between program and data becomes relevant and an alternative metaphor of DNA as data to a parallel computing network embedded in the global geometrical and biochemical structure of the cell is discussed. An intermediate picture of an evolving network emerges as the most likely where the output of the cellular computing network can produce, at a different time scale, changes in the structure of the network itself by means of changes in the DNA activity patterns.
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  • 6
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    Bulletin of mathematical biology 52 (1990), S. 349-358 
    ISSN: 1522-9602
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    Topics: Biology , Mathematics
    Notes: Abstract When two strings of symbols are aligned it is important to know whether the observed number of matches is better than that expected between two independent sequences with the same frequency of symbols. When strings are of different lengths, nulls need to be inserted in order to align the sequences. One approach is to use simple approximations of sampling for replacement. We describe an algorithm for exactly determining the frequencies of given numbers of matches, sampling without replacement. This does not lead to a simple closed form expression. However we show examples where sampling with, or without, replacement give very similar results and the simple approach may be adequate for all but the smallest cases.
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  • 7
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    Bulletin of mathematical biology 52 (1990), S. 509-525 
    ISSN: 1522-9602
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    Topics: Biology , Mathematics
    Notes: Abstract Pairwise optimal alignments between three or more sequences are not necessarily consistent as a whole, but consistent and inconsistent residues are usually distributed in clusters. An efficient method has been developed for locating consistent regions when each pairwise alignment is given in the form of a “skeletal representation” (Bull. math. Biol. 52, 359–373). This method is further extended so that the combination of pairwise alignments that gives the greatest consistency is found when possibly many alignments are equally optimal for each pairwise comparison. A method for acceleration of simultaneous multiple sequence alignment is proposed in which consistent regions serve as “anchor points” limiting application of direct multi-way alignment to the rest of “inconsistent” regions.
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  • 8
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    Bulletin of mathematical biology 52 (1990), S. 527-534 
    ISSN: 1522-9602
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    Topics: Biology , Mathematics
    Notes: Abstract Sufficient conditions are given for the unlimited growth or otherwise in multitype population size dependent Galton-Watson processes. These conditions are given in terms of moments of offspring distributions and extend known conditions for processes with one type.
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  • 9
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    Bulletin of mathematical biology 52 (1990), S. 535-547 
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    Topics: Biology , Mathematics
    Notes: Abstract The variability of the duration of the cell cycle is explained by the phenomenon of sensitive dependence upon initial conditions; as may occur in deterministic non-linear systems. Chaotic dynamics of a system is the result of this sensitive dependence. First a deterministic system is formulated that is equivalent to the Smith-Martin transition probability model of the cell cycle. Next the model is extended to a dynamic process that ranges over the cell generations. A deterministic non-linear relationship between the cycle time of the mother and daughter cell is established. It clarifies the variability of mother-daughter correlation for the different cell types. The model is fitted to two different cell cultures; it shows that the graph of the non-linear relation has the same shape for different cell types.
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    Bulletin of mathematical biology 52 (1990), S. 583-596 
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    Bulletin of mathematical biology 52 (1990), S. I 
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    Bulletin of mathematical biology 52 (1990), S. 549-582 
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    Topics: Biology , Mathematics
    Notes: Abstract Recently a mathematical model of the prevascular phases of tumor growth by diffusion has been investigated (S. A. Maggelakis and J. A. Adam,Math. Comput. Modeling, in press). In this paper we examine in detail the results and implications of that mathematical model, particularly in the light of recent experimental work carried out on multicellular spheroids. The overall growth characteristics are determined in the present model by four parameters:Q, γ, b, andδ, which depend on information about inhibitor production rates, oxygen consumption rates, volume loss and cell proliferation rates, and measures of the degree of non-uniformity of the various diffusion processes that take place. The integro-differential growth equation is solved for the outer spheroid radiusR 0(t) and three related inner radii subject to the solution of the governing time-independent diffusion equations (under conditions of diffusive equilibrium) and the appropriate boundary conditions. Hopefully, future experimental work will enable reasonable bounds to be placed on parameter values referred to in this model: meanwhile, specific experimentally-provided initial data can be used to predict subsequent growth characteristics ofin vitro multicellular spheroids. This will be one objective of future studies.
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  • 13
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    Notes: Abstract Workers of the speciesLeptothorax acervorum show age-polyethism, they start their life as broodworkers and later on they become nestworkers and foragers. Nestworkers and foragers of this ant species are inactive for 72% and 15% of the total time respectively. The short bursts of activity within the nest do not occur randomly but are synchronized so that the whole nest population exhibits nonperiodic pulses of activity: the ants were seen to wake each other actively. In addition starvation experiments were done to assess whether ants react upon food availability. In appeared that during a longlasting period of starvation the proportion of active ants in the nest is at a higher approximately constant level.
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    Circuits, systems and signal processing 9 (1990), S. 501-502 
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    Topics: Electrical Engineering, Measurement and Control Technology
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    Circuits, systems and signal processing 9 (1990), S. 503-503 
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    Circuits, systems and signal processing 9 (1990), S. 505-505 
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    Circuits, systems and signal processing 9 (1990), S. 171-180 
    ISSN: 1531-5878
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    Topics: Electrical Engineering, Measurement and Control Technology
    Notes: Abstract For ann-by-n nonnegative matrixP, we consider the entrywise harmonic meanH, geometric meanG, and arithmetic meanA, ofP and PT. Simple proofs are given for the inequalities ρ(H)≤ρ(G)≤ p(P)≤ ρ(A), and attention is focused upon characterization of the case of equality in each of these six inequalities. In caseP is irreducible, ρ(G)=p(P) exactly whenP is diagonally similar to a symmetric matrix, and several other equivalent conditions for diagonal symmetrizability ofP are collected together here. Other conditions which arise involve further variations upon symmetry, and may be viewed as algebraic descriptions of various features of symmetry. A tool of interest is a slight variation upon a recent characterization of the Perron root.
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    Circuits, systems and signal processing 9 (1990), S. 197-212 
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    Topics: Electrical Engineering, Measurement and Control Technology
    Notes: Abstract A new class of shorted operators is considered. The shorted operator has an intimate relationship with electrical networks and has been extensively studied. In this work we consider the class of matrices with row and column spans in specified linear subspaces and dominated in a given partial order by a matrixA. If this class of matrices has an unique maximal element under the partial order, then this maximal element is called the shorted matrix ofA relative to the given linear subspaces and the relevant partial order. We study the shorted matrix under the star order of Drazin, the minus order, and also under partial orders induced by the minimum norm and least squares g-inverses. The parallel sum of matrices is intimately related to the shorted matrix and results are given for parallel addition.
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    Circuits, systems and signal processing 9 (1990), S. 223-228 
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    Topics: Electrical Engineering, Measurement and Control Technology
    Notes: Abstract A new variational characterization of the solution of a matrix Riccati equation is presented. The characterization is given as the maximum Hermitian matrix that makes a certain compound matrix Hermitian positive semidefinite. The shorted operator (Schur complement) applied to the compound matrix produces the Riccati equation.
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    Circuits, systems and signal processing 9 (1990), S. 271-300 
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    Topics: Electrical Engineering, Measurement and Control Technology
    Notes: Abstract An eigenstructure-based method for direction finding in the presence of sensor gain and phase uncertainties is presented. The method provides estimates of the Directions of Arrival (DOA) of all the radiating sources as well as calibration of the gain and phase of each sensor in the observing array. The technique is not limited to a specific array configuration and can be implemented in a'ny eigenstructure-based DOA system to improve its performance.
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    Circuits, systems and signal processing 9 (1990), S. 319-341 
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    Topics: Electrical Engineering, Measurement and Control Technology
    Notes: Abstract The effects of system parameter uncertainties on system performance are always of great concern to the system designer. It is desirable to knowa priori estimates of the system response, subject to parameter uncertainties. In the following we propose using interval analysis techniques to establish estimates of system performance (e.g., envelopes of time response and frequency response). The results which we obtain constitute generalizations of existing work. Specifically, existing results address systems which are described by linear ordinary differential equations which are endowed with a single parameter belonging to an interval. In the present results we address systems described by linear or nonlinear ordinary difference equations endowed with more than one parameter belonging to intervals.
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    Circuits, systems and signal processing 9 (1990), S. 343-364 
    ISSN: 1531-5878
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    Topics: Electrical Engineering, Measurement and Control Technology
    Notes: Abstract We consider general input-output systems governed by nonlinear operator equations that relate the system's input, state, and output. The systems under consideration need not be of a feedback type. Assuming that the governing equations depend on a parameterA in a linear space that is allowed to vary in a vicinity Nr(A0) of a “nominal” valueA 0, we study conditions under which the system is stable for each A∈Nr (A0), i.e., when the system is robust. By stability we essentially mean that the input-output map is continuous. Depending on the type of continuity used, two concepts of robustness are introduced. The main theorem shows that a certain generalized monotonicity condition imposed on the nominal system combined with a Lipschitz-like condition imposed on the perturbed system guarantees robustness. Moreover, several particular cases of the governing equations are investigated. As examples, we consider (1) a singular system of nonlinear ordinary differential equations (a semistate equation), (2) a feedback system, and (3) a feedback, feedforward system. At the end of this paper some extensions and modifications of the presented theory are discussed.
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    Circuits, systems and signal processing 9 (1990), S. 367-382 
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    Topics: Electrical Engineering, Measurement and Control Technology
    Notes: Abstract The subject of this paper is the relation of differential-algebraic equations (DAEs) to vector fields on manifolds. For that reason, we introduce the notion of a regular DAE as a DAE to which a vector field uniquely corresponds. Furthermore, a technique is described which yields a family of manifolds for a given DAE. This socalled family of constraint manifolds allows in turn the formulation of sufficient conditions for the regularity of a DAE, and the definition of the index of a regular DAE. We also state a method for the reduction of higher-index DAEs to lower-index ones that can be solved without introducing additional constants of integration. Finally, the notion of realizability of a given vector field by a regular DAE is introduced, and it is shown that any vector field can be realized by a regular DAE. Throughout this paper the problem of path-tracing is discussed as an illustration of the mathematical phenomena.
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    Circuits, systems and signal processing 9 (1990), S. 409-420 
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    Notes: Abstract The influence of the asymmetry parameterk on the extent and form of the stability region for second-order fixed-point coupled-form digital filters is analyzed. In particular, by extending the results of a previous paper by the same authors, the stability regions for filters with roundoff quantizers are first shown. Then, the corresponding results for filters with either two or four value-truncation quantizers are derived. It turns out that the shape of the stability areas is rather odd because of the asymmetry of the quantization characteristic.
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    Circuits, systems and signal processing 9 (1990), S. 435-448 
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    Topics: Electrical Engineering, Measurement and Control Technology
    Notes: Abstract Iterated-integral operators calledp-powers arise in the theory of representations of nonlinear systems. In a recent paper, necessary and sufficient conditions are given for such operators to be stable in a standard sense, and it is shown that a well-known sufficient condition is not necessary for allp ≥ 2. Here corresponding results are given for discrete-time cases.
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    Circuits, systems and signal processing 9 (1990), S. 421-433 
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    Notes: Abstract The paper first briefly reviews some subspace techniques for high-resolution array processing. It is shown that existing high-resolution techniques like the MUSIC algorithm are based on visual inspection of the spatial spectrum. It is not a scientifically valid means of assessing resolution of a spectrum estimator. The paper then proposes a technique based on a combination of optimal processing and signal subspace extraction for high-resolution array processing. Numerical results show that the proposed technique not only achieves superresolution of the spectrum, but also provides power estimates of the arrivals.
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    Circuits, systems and signal processing 9 (1990), S. 449-500 
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    Notes: Abstract Fourier transform algorithms are described using tensor (Kronecker) products and an associated class of permutations. Algebraic properties of tensor products and the related permutations are used to derive variants of the Cooley-Tukey fast Fourier transform algorithm. These algorithms can be implemented by translating tensor products and permutations to programming constructs. An implementation can be matched to a specific computer architecture by selecting the appropriate variant. This methodology is carried out for the Cray X-MP and the AT&T DSP32.
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    Bulletin of mathematical biology 52 (1990), S. 455-475 
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    Notes: Abstract Random clone mapping of genomic DNA is a subject of great interest in molecular biology.E. coli has just been mapped and work is progressing on some human chromosomes. In this paper we give estimates of the fraction of genomic DNA which is not clonable by partial digest with a restriction enzyme.
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    Bulletin of mathematical biology 52 (1990), S. 483-484 
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    Bulletin of mathematical biology 52 (1990), S. I 
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    The Geneva risk and insurance review 15 (1990), S. 5-16 
    ISSN: 1554-9658
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    Topics: Economics
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    The Geneva risk and insurance review 15 (1990), S. 73-79 
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    Topics: Economics
    Notes: Abstract When assets are nominal, non-informative rational expectations equilibria exist.
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    Bulletin of mathematical biology 52 (1990), S. 1-1 
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    Bulletin of mathematical biology 52 (1990), S. 3-23 
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    Bulletin of mathematical biology 52 (1990), S. 25-71 
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    Notes: Abstract This article concludes a series of papers concerned with the flow of electric current through the surface membrane of a giant nerve fibre (Hodgkinet al., 1952,J. Physiol. 116, 424–448; Hodgkin and Huxley, 1952,J. Physiol. 116, 449–566). Its general object is to discuss the results of the preceding papers (Section 1), to put them into mathematical form (Section 2) and to show that they will account for conduction and excitation in quantitative terms (Sections 3–6).
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    Bulletin of mathematical biology 52 (1990), S. 73-97 
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    Notes: Abstract The McCulloch-Pitts paper “A Logical Calculus of the Ideas Immanent in Nervous Activity” was published in theBulletin of Mathematical Biophysics in 1943, a decade before the work of Hodgkin, Huxley, Katz and Eccles. The McCulloch-Pitts neuron is an extremely simplified representation of neural properties, based simply on the existence of a threshold for the activation of an action potential.
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    Bulletin of mathematical biology 52 (1990), S. 99-115 
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    Notes: Abstract Because of the “all-or-none” character of nervous activity, neural events and the relations among them can be treated by means of propositional logic. It is found that the behavior of every net can be described in these terms, with the addition of more complicated logical means for nets containing circles; and that for any logical expression satisfying certain conditions, one can find a net behaving in the fashion it describes. It is shown that many particular choices among possible neurophysiological assumptions are equivalent, in the sense that for every net behaving under one assumption, there exists another net which behaves under the other and gives the same results, although perhaps not in the same time. Various applications of the calculus are discussed.
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    Bulletin of mathematical biology 52 (1990), S. 199-207 
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    Bulletin of mathematical biology 52 (1990), S. 117-152 
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    Notes: Abstract The evolution of spatial pattern is a central issue in developmental biology. Turing's (Phil. Trans. R. Soc. Lond. B237, 37–72, 1952) chemical theory of morphogenesis is a seminal contribution. In this talk I give a personal and necessarily limited view of its impact on mathematical and developmental biology. I briefly describe some of the interesting mathematical aspects of Turing's reaction-diffusion mechanism and discuss some of the different models which Turing's vision inspired. The emphasis throughout is on the practical biological applications of the various theories.
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    Bulletin of mathematical biology 52 (1990), S. 209-240 
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    Notes: Abstract Mathematical expressions are found for the effect of selection on simple Mendelian populations mating at random. Selection of a given intensity is most effective when amphimixis does not affect the character selected, e.g. in complete inbreeding or homogamy. Selection is very ineffective on autosomal recessive characters so long as they are rare.
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    Bulletin of mathematical biology 52 (1990), S. 241-295 
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    Bulletin of mathematical biology 52 (1990), S. 297-318 
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    Bulletin of mathematical biology 52 (1990), S. 359-373 
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    Notes: Abstract A new algorithm for optimal sequence alignment allowing for long insertions and deletions is developed. The algorithm requires O((L+C)MN) computational steps, O(LN) primary memory and O(MN) secondary memory storage, whereM andN(M≥N) are sequence lengths,L (typicallyL≤3) is the number of segment specifying the gap weighting function, andC is a constant. We have also modified our earlier traceback algorithm so that it finds all and only the optimal alignments in a compact form of a directed graph. The current versions accept a set of aligned sequences as input, which facilitates multiple sequence alignment by some iterative procedures.
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    Bulletin of mathematical biology 52 (1990), S. 397-429 
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    Notes: Abstract The kinetic model of cortical-like neural systems is amplified with elements related to a gross lamination in three parts of the basic system. A reduced version of the model, aiming to study only short-range, random aspects of activity propagation, was subjected to an intensive computational experimentation, and the results are briefly presented. The comparison of these results with those of a previous paper, in which aspects related mainly to long-distance effects were described, suggested the possibility of extending the model by considering new features related to phenomena of attention. The results of experimentations with the whole model revealed the possibility of laying the bases for a description of the cognitive activity in a neural frame.
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    Bulletin of mathematical biology 52 (1990), S. 431-453 
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    Notes: Abstract A method of inductive inference known asminimum message length encoding is applied to string comparison in molecular biology. The question of whether or not two strings are related and, if so, of how they are related and the problem of finding a good theory of string mutation are treated as inductive inference problems. The method allows the posterior odds-ratio of two string alignments or of two models of string mutation to be computed. The connection between models of mutation and existing string alignment algorithms is made explicit. A fast minimum message length alignment algorithm is also described.
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    Bulletin of mathematical biology 52 (1990), S. 477-482 
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    Bulletin of mathematical biology 52 (1990), S. 629-641 
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    Notes: Abstract The geometrical properties of neurons are important for the way they function within neural circuits. The arborescent processes of neurons that are necessary for the transmission of the information are formed by branching and elongation of segments. In studies that model the outgrowth the tree structures have generally been considered as binary. However, multifurcations do occur. It will be shown that if the multifurcations can be considered as aggregates of bifurcations they may be included in the topological analysis of neuronal branching patterns.
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    Notes: Abstract Observations on activity of ants of the speciesLeptothorax acervorum show that ants within the nest are inactive for about 72% of their time (Frankset al., 1990.Bull. math. Biol.,52, 597–612). By examination of the activity of individual ants it is demonstrated that activity bouts of individuals are highly synchronized. The bursts of activity detected by Frankset al. occurred three to four times per hour. In this paper we develop a model to describe the phenomenon. As a result of the interdependence of the number of active ants within the nest and the high level of community activity some predictions are made, which are supported by experimental data in a quantitative way. In case of starvation the number of active ants will increase and no rhythms should occur. When proportionally more brood is present the rhythms should occur with a higher frequency. Eventually the rhythm breaks down and a stable equilibrium is reached.
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    Bulletin of mathematical biology 52 (1990), S. 643-655 
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    Notes: Abstract A computer model of body mass and composition in relation to gross energy balance is constructed. The model is built using conventional empirical physiological formulae rather than statistical or analytical mathematical techniques. The model is applied to the Minnesota and other experiments and produces as good or better simulations of observed values of changes in body weight than reported for other formulae or models. Alternative physiological mechanisms concerning metabolic adaptions to starvation, changes in time activity budgets and the energy equivalents of weight loss offer equally good simulations of experimental results. The present analysis highlights the survival value of a basal metabolic depression during starvation and indicates an optimal body composition of 10% mobilizable fat for starvation survival for a 70 kg man. Proper quantification of the effects of the physiological mechanisms involved depends on new experimental data, however. Long term continuous monitoring of time activity budgets are a necessary part of such experiments.
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    Bulletin of mathematical biology 52 (1990), S. 657-675 
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    Notes: Abstract Irradiation affects numerous physiological processes within cells and tissues and can lead to damage or death. If the damage is not too severe, cells have the ability to repair and regenerate. Many small injuries are repaired more easily than ones causing extensive damage and, consequently, tissue typically respond differently to one large dose of radiation than to many small doses, separated in time. In the radiotherapy of tumors, the choice of the fractionation regimen of dose over time is therefore as crucial as the total radiation dose. The interdependence between total dose, fractionation regimen, and radiation effect has been described mathematically with variousisoeffect relationships. These relationships appear to be fundamentally distinct and have been considered unrelated; some even claim that one class of isoeffect relationship is appropriate whereas other relationships are rather useless. We examine how alternative isoeffect models relate to each other and test the reliability of estimating parameter values of one model from the other.
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    Bulletin of mathematical biology 52 (1990), S. 697-708 
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    Bulletin of mathematical biology 52 (1990), S. 677-696 
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    Notes: Abstract A stability analysis is given for a model of plankton dynamics introduced by Wroblewskiet al. (Global Biogeochem. Cycles 2, 199–218, 1988). The detailed dependence of the steady-states and their stability on the various model parameters is explicitly presented and analysed. It is shown that under certain conditions the coexistence of phytoplankton and zooplankton occurs in an orbitally stable oscillatory mode. A distinguished parameter is varied and the steady-states computed. The significance of the lack of stable steady-states leading to periodic population levels is investigated and related to certain oceanographic data.
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    Bulletin of mathematical biology 52 (1990), S. I 
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    Bulletin of mathematical biology 52 (1990), S. 709-709 
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    Bulletin of mathematical biology 52 (1990), S. 733-740 
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    Notes: Abstract An ecosystem can be visualized as a graph of certain preassigned trophic compartments; these nodes are then mutually connected through the internal exchanges of material and energy. The mathematical theory of information can be applied to such a graph in order to define two relevant indices: a measure of connectivity (the entropy H of the connections) and a measure of the degree of the “energetic” specialization (the internal transfer of informationI). The computation of these indices in stationary real cases suggests that the observed complexity of ecosystems is conditioned by two competing effects. The first can be interpreted as a “thermodynamical” principle related to the unavoidable irreversibility taking place inside the system, whereas the second can be taken as a “biological” principle concerned with the selection of some particular interactions: those which maximize the information circulating between the compartments.
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    Bulletin of mathematical biology 52 (1990), S. 773-784 
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    Notes: Abstract An accurate approximation is derived to the distribution of the length of the longest matching word present between two random DNA sequences of finite length, using only elementary probability arguments. The distribution is shown to be consistent with previous asymptotic results for the mean and variance of longest common words. The application of the distribution to assessing the statistical significance of sequence similarities is considered. It is shown how the distribution can be modified to take account of non-independence of neighbouring bases in real sequences.
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    Notes: Abstract Experimental data of the radial incorporation of labeled cholesterol [14C-4] into the artery wall is regressed against a mathematical model that predicts macromolecular transport in this biological system. Data is obtained using excised canine carotid arteries that are perfusedin vitro under pulsatile hemodynamic conditions for 2 hr. Vessels are exposed to either normotensive hemodynamics, hypertensive hemodynamics, or simulations in which the rate of flow or vessel compliance is deliberately altered. Several arteries are studied under normotensive conditions following balloon catheter deendothelialization. Transmural concentration profiles of [14C-4] activity are determined by microcryotomy of longitudinal sections of perfused vessels. Nonlinear Marquardt regression on 12 experimental cases yields parameter estimates of effective diffusivity,D and solute filtration velocity,V. Results of this experimental investigation support our hypothesis that hemodynamics and the endothelial lining influence wall flux in intact vessels. Exposure to altered (vs normotensive) hemodynamics is associated with increased incorporation of labeled cholesterol. A similar observation is made for deendothelialized vessels (e.g. a greater accumulation of label and a rise in convective flux). Based upon our companion measurements of vessel wall forces and endothelial cellular morphology accompanying hemodynamic simulations, we suggest that hemodynamically induced alterations to endothelial structures lead to the increased permeability, convection and incorporation that we observe in this work.
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    Bulletin of mathematical biology 52 (1990), S. 797-805 
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    Bulletin of mathematical biology 52 (1990), S. 741-772 
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    Notes: Abstract Statistical studies of gene populations on the purine/pyrimidine alphabet have shown that the mean occurrence probability of thei-motif YRY(N) i YRY (R=purine, Y=pyrimidine, N=R or Y) is not uniform by varyingi in the range [1,99], but presents a maximum ati=6 in the following populations: protein coding genes of eukaryotes, prokaryotes, chloroplasts and mitrochondria, and also viral introns, ribosomal RNA genes and transfer RNA genes (Arquès and Michel, 1987b,J. theor. Biol. 128, 457–461). From the “universality” of this observation, we suggested that the oligonucleotide YRY(N)6 is a primitive one and that it has a central function in DNA sequence evolution (Arquès and Michel, 1987b,J. theor. Biol. 128, 457–461). Following this idea, we introduce a concept of a model of DNA sequence evolution which will be validated according to a shema presented in three parts. In the first part, using the last version of the gene database, the YRY(N)6YRY preferential occurrence (maximum ati=6) is confirmed for the populations mentioned above and is extended to some newly analysed populations: chloroplast introns, chloroplast 5′ regions, mitochondrial 5′ regions and small nuclear RNA genes. On the other hand, the YRY(N)6YRY preferential occurrence and periodicities are used in order to classify 18 gene populations. In the second part, we will demonstrate that several statistical features characterizing different gene populations (in particular the YRY(N)6YRY preferential occurrence and the periodicities) can be retrieved from a simple Markov model based on the mixing of the two oligonucleotides YRY(N)6 and YRY(N)3 and based on the percentages of RYR and YRY in the unspecified trinucleotides (N)3 of YRY(N)6 and YRY(N)3. Several properties are identified and prove in particular that the oligonucleotide mixing is an independent process and that several different features are functions of a unique parameter. In the third part, the return of the model to the reality shows a strong correlation between reality and simulation concerning the presence of large alternating purine/pyrimidine stretches and of periodicities. It also contributes to a greater understanding of biological reality, e.g. the presence or the absence of large alternating purine/pyrimidine stretches can be explained as being a simple consequence of the mixing of two particular oligonucleotides. Finally, we believe that such an approach is the first step toward a unified model of DNA sequence evolution allowing the molecular understanding of both the origin of life and the actual biological reality.
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    Bulletin of mathematical biology 52 (1990), S. I 
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    Notes: Abstract A non-linear three-compartment model is proposed to describe a new strategy for the administration of 2′,3′-dideoxycytidine (ddCyd) in the treatment of HIV infections. The drug is injected after having been encapsulated in a non-diffusible form (ddCMP) into erythrocytes. Nummerical solutions show that by this treatment the highest ddCyd blood concentration is strongly reduced and in turn its toxicity, while long-lasting therapeutic effect is assured. The model is compared with experimental data in vitro.
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    Circuits, systems and signal processing 9 (1990), S. i 
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    Circuits, systems and signal processing 9 (1990), S. 31-54 
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    Notes: Abstract A model-order determination procedure for time series is described which is based on computing the differential entropy of the time series' multivariate amplitude probability density. The procedure, termed the differential entropy method, applies to linear and nonlinear models for the time series. Simulations were performed to determine the performance characteristics of the differential entropy method on first-order autoregressive models with Gaussian and non-Gaussian inputs and on a first-order nonlinear model. It produces accurate model-order estimates for the linear model once the correlation coefficient becomes large enough. The threshold for accurate estimates is dependent on the amplitude distribution of the model's input. This technique estimates the model order of data having nonlinear dependence structure more accurately than thead hoc application of the AIC and MDL methods. Extension of the method to higher-order models is described, but, because of computation complexity issues, the differential entropy method is best used for estimating small model orders.
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    Circuits, systems and signal processing 9 (1990), S. 75-97 
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    Notes: Abstract Two sets of formulas for scattering parameters are presented for multiplexers having parallel and series configurations with a common junction. A new general design approach is developed for multiplexers having any response types and any number of channel filters of arbitrary degree, bandwidth, and interchannel spacing. By using these formulas and computer optimization techniques for all the element values in the channel filters, the design process results in a good match at the common input port over the transmission frequency band. Several examples including a contiguous multiplexer are given to demonstrate the design procedure.
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    Circuits, systems and signal processing 9 (1990), S. 125-126 
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    Circuits, systems and signal processing 9 (1990), S. 99-121 
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    Notes: Abstract In this paper we present a computationally efficient realization of single rate uniform FIR filter banks for audio and spectral analysis applications. The channel filters in the analysis bank are represented as modulated versions of a prototype narrowband lowpass FIR filter. Using the IFIR filter design technique [23], [24], this prototype lowpass filter can be designed very efficiently as a cascade of two subfilters. The IFIR filter design is extended for the two-branch realization of uniform filter banks with overlapping channels. A generalized structure is presented which can be used for bothodd andeven stacking arrangements of the channels. The shaping filter structures for the two branches are realized from a single delay line and a single set of filter coefficients, thus conserving the total number of multipliers and delays in the overall realization. The postfilter structure, in conjunction with the Generalized DFT matrices, performs the channel selection. The Generalized DFT matrices are used to provide the necessary modulation for the postfilter coefficients so that the appropriate passbands are selected for each channel of the analysis bank. This leads to a polyphase network realization of the postfilter structure. We derive conditions so that the original input signal can be exactly reconstructed from the channel signals.
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    Circuits, systems and signal processing 9 (1990), S. 129-133 
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    Notes: Abstract The flow of electrical current in a conducting plate is defined by an electrical potentialu(x, y) and a stream functionv(x, y) whose level lines are the lines of flow. If the plate has unit conductivity, thenu andv satisfy the Cauchy-Riemann equations and (u, v) is termed a conjugate pair. Then (v, -u) is also a conjugate pair and sou andv play dual roles. However, suppose that the conductivity of the plate is not constant but periodic, such as an infinite checkerboard of tiny black and white squares. This poses the problem of determining the effective conductivity of the checkerboard in the large. By using generalized Cauchy-Riemann equations and duality the effective conductivity of the checkerboard is shown to be the geometric mean of the conductivities of black and white.
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    Circuits, systems and signal processing 9 (1990), S. 161-170 
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    Notes: Abstract Let Aij i, j=1, 2,..., be operators on a Hilbert spaceX, such that the compound operatorA ∞=A ij i, j=1 ∞ induces a bounded positive operator onl 2(X). We show that S(A ∞, theshorted operator (orgeneralized Schur complement), of A∞ can be obtained as the limits of shorts of the operators An, where An is the truncated version ofA ∞, thenA n=A ij i, j=1 n . We use these results to study the short-circuit approximations to infinite networks.
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    Circuits, systems and signal processing 9 (1990), S. 181-195 
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    Notes: Abstract It is shown that the set of multitree classes equipped with a partial order is a lattice called a multitree lattice. This multitree lattice in fact is a geometric lattice. Since there is a one-to-one correspondence between a multitree class and an element of the multitree lattice, the trees of a composite of subgraphs can be generated without duplications by the set union of the Cartesian products of the multitree classes of the subgraphs, which form a maximal independent set.
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    Circuits, systems and signal processing 9 (1990), S. 213-222 
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    Notes: Abstract LetA andB be the impedance operators of two resistive Hilbert ports. Then theparallel sum ofA andB, denotedA: B, is defined to be the joint impedance of the parallel interconnection ofA andB. We survey some results about the norm convergence of limɛ↓0(A+ɛI): (B+ɛI). By means of several new examples, we investigate the relation between such norm convergence and range inclusion conditions.
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    Circuits, systems and signal processing 9 (1990), S. 229-238 
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    Notes: Abstract A discrete-time quadratic optimal control problem is shown to be equivalent to an infinite cascade ofn-port electrical networks. Both problems can be expressed as a generalized Schur complement (or shorted operator) of a block tridiagonal operator. Using Maxwell's principle for resistive networks, a variational formulation of the cascade limit ofn-port networks is given. For one special case a formula for the solution of the quadratic control problem is given in terms of the geometric mean of operators.
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    Circuits, systems and signal processing 9 (1990), S. 241-269 
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    Notes: Abstract This paper presents a new efficient algorithm for adjusting the coefficients of an adaptive infinite impulse response power-wave digital filter in order to estimate the discrete-time signal y(k) as the recursively filtered version of the signalx(k). To do this, eight different prediction errors are defined which can be computed recursively with respect to model order and time, which leads to similar recursions as for the lattice algorithm [1], where autoregressive processes are considered. These recursions can be implemented as a digital filter which can be separated in ananalysis and asynthesis part, where the latter can be interpreted as a power-wave digital filter [2], [3], [13]. Hence, the stability of this adaptive network is always guaranteed [4]. Furthermore, it is shown that the proposed algorithm can be considered as an extension of the Levinson algorithm [7] for the efficient inversion of a special class of matrices.
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    Circuits, systems and signal processing 9 (1990), S. 301-317 
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    Notes: Abstract The objective of this paper is to present an algebraic theory for analyzing the infinite structures of singular systems. The key concept used in the development is the so-called homogeneous form for polynomial and rational matrices, which can be seen as a generalization of the well-known notion of homogeneous form for matrix pencils. We show how familiar concepts such as matrix fraction description, infinite poles and zeros, irreducibility, and cancellation at infinity appear naturally in this framework. The characterizations for some of these concepts are derived in terms of homogeneous forms. Considering singular systems to be alternative representations for (possibly nonproper) rational matrices, we are able to relate the fundamental concepts of controllability and reconstructibility for singular systems to the concept of complete coprimeness for rational matrices, and to relate the concept of minimal order of singular systems to the concept of the McMillan degree of rational matrices. As an important result, the equivalence relations among the concepts of joint controllability and reconstructibility, minimal order, and complete irreducibility are established. Moreover, we show that for any rational matrix factorized in matrix fraction description, the determinantal degree of the denominator matrix is the McMillan degree of the rational matrix if and only if the matrix fraction description is completely irreducible.
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    Circuits, systems and signal processing 9 (1990), S. 383-408 
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    Notes: Abstract Three-dimensional (3-D) signal processing offers many advantages over two-dimensional (2-D) processing, because it preserves 3-D correlations. In this paper the design and the stability of 3-D rotated filters are considered. These filters are designed by rotating a one-dimensional (1-D) digital filter in 3-D space. The rotated filters are valuable in the design of various 3-D filters which possess prescribed spectral specifications. An efficient algorithm for the design of 3-D lowpass (LP) digital filters, with approximately spherically symmetric magnitude responses, is introduced. To achieve the desirable spectral characteristics, a number of 3-D rotated filters is cascaded. The stability of the spherically symmetric filters designed is considered, and stable realizations are proposed. The relation between the cut-off isopotential sphere of the 3-D filter and the cut-off frequency of the 1-D filter employed in the design, is derived. Finally, configurations that result in highpass (HP) and bandpass (BP) filters are proposed. Examples of LP, HP, and BP filters, designed on the basis of the method proposed, are presented.
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    Circuits, systems and signal processing 9 (1990), S. 55-73 
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    Notes: Abstract This paper presents explicit expressions for the maximum dc gain and the maximum allowable series inductance. The results are surprisingly simple, and can be used to decide whether or not a given RLC load can be matched to a resistive generator by a ladder network and yield a Butterworth or Chebyshev transducer power-gain characteristic of arbitrary order. Two examples are given to show the design procedure. The significance of these results is that they avoid the unnecessary use of Darlington type-C sections and circumvent the need to solve nonlinear equations or use design curves, thereby reducing the design to simple arithmetic.
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    Notes: Abstract This paper introduces a theory of modulop Laplace andZ-transforms which can adequately analyze any time-varying periodically switching system in frequency domain, in particular, switched-capacitor SC networks with nonideal operational amplifiers. Formulae for inverse and direct modulop transforms are included. Since the regular Laplace andZ-transform fail to be adequate for a nonideal sampled system, this new tool can be effectively used instead. An extremely efficient and fast program is developed based on the general theory. This program has been used by the author for the analysis of SC networks with nonideal operational amplifiers and requires less time for calculations compared with conventional time-domain methods. Furthermore, closed-form solutions for the nonideal transfer functions are given. The presented algorithm permits us to calculate the transfer function in partial fraction form and thus stability can be verified immediately.
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    Circuits, systems and signal processing 9 (1990), S. ii 
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    Circuits, systems and signal processing 9 (1990), S. 127-128 
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    Circuits, systems and signal processing 9 (1990), S. 135-145 
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    Notes: Abstract In this paper we develop oscillators whose outputs are solid holed torus knots in real three-dimensional space. Here solid holed knots are closed trajectories on the solid holed torus where the solid holed torus is formed by three perpendicular circles revolved around one another. An electronic circuit is presented that can generate any desired solid holed torus knot.
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    Circuits, systems and signal processing 9 (1990), S. 147-159 
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    Topics: Electrical Engineering, Measurement and Control Technology
    Notes: Abstract Some combinatorial parameters of Sierpinski gasket (SG) are presented. The more general Pascal-Sierpinski gaskets (PSG) provide a convenient vehicle for the study of resistance in fractal lattices. The combination of the wye-delta (Y-Δ) transformations and selected multiple tracer edges provide a powerful new tool. Connections are made to modeling transport networks: diffusion processes with barriers, random walks, and relaxation phenomena.
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  • 81
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    The Geneva risk and insurance review 15 (1990), S. 55-71 
    ISSN: 1554-9658
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    Topics: Economics
    Notes: Abstract We recast the capital asset pricing model (CAPM) in the broader context of general equilibrium with incomplete markets (GEI). In this setting we give proofs of three properties of CAPM equilibria: they are efficient, asset prices lie on a “security market line”, and all agents hold the same two mutual funds. The first property requires a riskless asset, the latter two do not. We show that across all GEI only one of these three properties of equilibrium is generally valid: asset prices depend on covariances, not variances. We extend CAPM to many consumption goods in such a way that all three properties hold. But now the definition of a riskless asset depends on preferences and endowments, and so cannot be specifieda priori.
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  • 82
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    The Geneva risk and insurance review 15 (1990), S. 115-139 
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    Topics: Economics
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  • 83
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    The Geneva risk and insurance review 15 (1990), S. 81-109 
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    Topics: Economics
    Notes: Abstract Market coordination breakdowns can be formulated in terms of Incomplete Market Structures, whatever is the assumption made about market power (monopoly or competition). When the assumption of competition is made, and financial assets generate an incomplete market structure, there are, generically, an infinite number of equilibria. It is shown that after embedding the model of incomplete markets in a more general model based on the absence of double coincidence of wants, a game theoretic concept of equilibrium, like the Core, allows us to prove an equivalence theorem, i.e. to show that indeterminacy is caused by the fact that the returns of financial assets have no direct utility.
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  • 84
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    The Geneva risk and insurance review 15 (1990), S. 159-169 
    ISSN: 1554-9658
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    Topics: Economics
    Notes: Abstract Conventional liability rules do not lead to a first best allocation. Optimal bilateral risk control can be achieved by not compensating any losses and, in addition, charging each party a fine equal to the loss suffered by the other party. In this way, each party internalizes the full accident loss. This paper investigates the properties of this “double liability” rule under risk neutrality and risk aversion of the parties. Finally the use of this rule in the context of multiple-party accidents is discussed.
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  • 85
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    The Geneva risk and insurance review 15 (1990), S. 141-157 
    ISSN: 1554-9658
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    Topics: Economics
    Notes: Abstract In this paper we present a partial economic equilibrium model of the labor market in which we maximize the workers' expected discounted utility level, while implying a zero expected profit for the firms. The model we use for the labor market takes into consideration transitions between the various states of employment and the time periods spent in each state. The probability distribution of these time periods may be arbitrary, not restricted to being exponential, as is the case for ordinary time-continuous Markov processes. The basic principles and difficulties arising from monitoring problems and moral hazard are discussed. In order to analyze unemployment insurance schemes that include incentives for workers to avoid unemployment, we depart from the simplest form of the principle of equivalence in insurance. Several different alternatives are discussed, all giving rise to partial insurance and thus incentives. We also analyze the effects that early retirement have on unemployment. Here, we include social security benefits in the economic model. Finally, we show that the optimal solutions entail quantity rationing.
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  • 86
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    The Geneva risk and insurance review 15 (1990), S. 171-192 
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    Topics: Economics
    Notes: Abstract A peculiar feature of insurance is its marketing through a variety of channels about whose performance rather little is known. This paper examines two of the more important variants prevailing in Continental Europe, exclusive and independent agencies (the latter typically having contractual relationships with several companies). Two types of contract governing their behavior are examined for their incentives in terms of growth and cost control. Data covering insurance agencies of both types operating in the Swiss market are used to test for differences while holding constant contract provisions operating on the revenue side. The hypothesis that exclusive agents are less concerned about cost control than independent agencies receives a large measure of confirmation, while no evidence of better performance both in terms of growth and loss ratio can be found.
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  • 87
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    The Geneva risk and insurance review 15 (1990), S. 193-202 
    ISSN: 1554-9658
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    Topics: Economics
    Notes: Conclusion Jacques Drèze has participated significantly in many fields of economic analysis. The book we have reviewed is limited to his main contributions to the economics of uncertainty and information. It is rich in ideas, models, and results for graduate students and researchers who are interested in this now basic dimension of economic analysis. We hope that its publication will permit the public at large to better appreciate the importance of its author's contributions.
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  • 88
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    Bulletin of mathematical biology 52 (1990), S. 375-396 
    ISSN: 1522-9602
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    Topics: Biology , Mathematics
    Notes: Abstract Some insect populations exhibit cycles in which successive population peaks may correspond to effectively discrete generations. Motivated by this observation, we investigate the structure of matriarchal generations in five simple, continuous-time, stage structure models in order to determine the proportion of individuals in one population peak who are the offspring of individuals in the pervious peak. We conclude that in certain models (including a model of Nicholson's blowflies) successive population peaks do not correspond to discrete generations, whereas in others (including some models of uniform larval competition) successive peaks may well approximate discrete generations. In all models, however, there is eventually significant overlap of generations.
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  • 89
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    Bulletin of mathematical biology 52 (1990), S. 485-508 
    ISSN: 1522-9602
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    Topics: Biology , Mathematics
    Notes: Abstract Catalysis in replication networks has become an important issue in biophysics and other areas of biology. Examples are RNA catalysis, idiotype recognition in the immune response and dynamical models of Maynard-Smith games in sociobiology. Chemical reaction networks describing catalysed, template-induced reproduction of three species are analysed in full generality. The nine-dimensional parameter space is reduced to three relevant angular coordinates which determine completely the phase portraits (PPs) and the bifurcation patterns. All cases are classified and all generic as well as most of the nongeneric transitions are listed and described.
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    The Geneva risk and insurance review 15 (1990), S. 17-46 
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    Topics: Economics
    Notes: Abstract Traditional analyses with incomplete markets take the securities that are traded as exogenous. In this paper we endogenize the market structure by considering incentives to introduce (costly) options exchanges which issue derivative securities. The method of financing the exchange is critical in determining whether the market structure is socially efficient. If the exchange can charge fees to all agents and make every agent's participation a necessary condition for establishing the exchange then the market structure chosen in equilibrium is efficient. However, if either of these conditions is not satisfied then an inefficient market structure may be chosen.
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  • 91
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    The Geneva risk and insurance review 15 (1990), S. 47-53 
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    Topics: Economics
    Notes: Abstract The traditional pricing methodology in finance values derivative securities as redundant assets that have no impact on equilibrium prices and allocations. This paper considers a model with incomplete markets in which the valuation of derivative securities cannot be treated independently from the valuation of the primary securities. The model constitutes a framework for the analysis of the consequences of financial innovation (creation of new contracts or modification of existing contracts). We provide a numerical counterexample to the popular belief that financial innovations that increase the volatilities of traded securities are “bad”. In this example the introduction of an option increases the volatility of the rate of return on the underlying stock, yet the creation of this asset is unanimously supported by investors.
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  • 92
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    Journal of industrial microbiology and biotechnology 5 (1990), S. 131-138 
    ISSN: 1476-5535
    Keywords: Capsule ; Aggregation ; Disaggregation ; Polyglucan
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    Topics: Biology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Summary Conditions of growth are described which lead to the formation of a dense capsule aboutCellulomonas flavigena and provide data which suggest that, although accumulated as an extracellular structure, it may function as an energy reserve. The capsule is formed when the bacteria are cultured in a minimal medium containing an excess of one of several carbohydrates. The bacterial cells which are encapsulated are also densely aggregated. The capsule is not formed and the cells are not aggregated when the bacteria are cultured in complex growth media. The transfer of aggregated cells to a medium devoid of carbon and energy source results in disappearance of the capsule and disaggregation of the cells.
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  • 93
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    Journal of industrial microbiology and biotechnology 5 (1990), S. 167-182 
    ISSN: 1476-5535
    Keywords: Bacteriophage ; Integration ; Deletions ; Cohesive ends ; Gentamicin ; Transfection
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    Topics: Biology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Summary A temperate actinophage was isolated from soil using the gentamicin-producing microorganism,Micromonospora purpurea ATCC 15835 as host. The characterization of the phage represents the initial step in its development as a cloning vector. The phage isolated, MPphiWR-1, formed red- to purple-pigmented turbid plaques. Cells isolated from these plaques were resistant to superinfection with lytic mutants of MPphiWR-1. Southern blots of genomic DNA from a resistant culture showed that MPphiWR-1 integrated into the host genome. The phage was UV- or Mitomycin C-inducible. The integration, resistance to superinfection and inducibility indicated a lysogenic relationship with the host. Using MPphiE-RCPM, a lytic derivative, the phage host range was demonstrated to include members of three genera: one species each ofAmpullariella andCatellatospora, and 12 species ofMicromonospora. The phage belonged to Ackerman's B1 morphotype having an isometric head and a flexible noncontractile tail. The density of the phage was 1.525 g/cc. Restriction site mapping demonstrated that the phage DNA was 57.9 kb long and had cohesive ends. Using EDTA enrichment, viable mutants with deletions of at least 3.5 kb were isolated and mapped. Phage adsorption, sensitivities and plating efficiency were investigated. Non-liposome PEG-mediated transfection was demonstrated.
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    Journal of industrial microbiology and biotechnology 5 (1990), S. 207-214 
    ISSN: 1476-5535
    Keywords: Yersinia enterocolitica ; Plasmid ; Outer membrane proteins
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    Topics: Biology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Summary In vitro synthesis of proteins directed byYersinia enterocolitica virulence plasmid DNA was studied using a cell-freeEscherichia coli coupled transcription-translation system. Out of a total of twenty-four polypeptides synthesized in vitro, ten were identified (based on virtually identical molecular masses) as outer membrane proteins synthesized in vivo when virulent plasmid-bearingY. enterocolitica cells were grown on four different solid media. Two high molecular weight outer membrane proteins synthesized in vivo by plasmid-bearing cells were not detected in the in vitro protein synthesizing system. Different plasmid-mediated outer membrane proteins were expressed in vivo inY. enterocolitica grown on different media.Y. enterocolitica grown on media with high calcium concentration (1·4–1·5 mM) expressed twice the number of lower molecular weight outer membrane proteins than the organism grown on low calcium (238–311 μM) media. This is the first report that a single serotype has been shown to synthesize all the reported virulence plasmid-encoded outer membrane proteins including three new polypeptides. The constituents in the medium as well as the level of calcium appeared to have a regulatory role in plasmid gene expression for lower molecular weight outer membrane proteins.
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  • 95
    ISSN: 1476-5535
    Keywords: Beta-lactam antibiotic biosynthesis ; Heterologous gene expression
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    Topics: Biology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Summary Streptomyces clavuligerus isopenicillin N synthase (IPNS) gene expression was achieved inEscherichia coli by the construction of two-cistron expression systems formed in the high copy number plasmid vector pUC119. These two-cistron constructions were composed of the IPNS gene and its flanking sequences which encoded an upstream open reading frame (ORF), the IPNS ribosome binding site and a putative transcription terminator. NoE. coli- likeStreptomyces promoter motif was present upstream of the IPNS gene therefore transcriptional regulation of the two-cistron system was provided by thelac promoter of pUC119. Enzymatically active IPNS was detected inE. coli cells harboring the recombinant plasmids thereby providing evidence for the activity of the IPNS ORF and for the feasibility of production ofS. clavuligerus IPNS inE. coli. These results indicate that simple two-cistron constructions involving foreign gene flanking sequences may be used to express foreign proteins inE. coli.
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  • 96
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    Keywords: Iron ore improvement ; Organic acids ; Phosphorus dissolution ; Liquid chromatography
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    Topics: Biology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Summary The value of iron ore is adversely affected by phosphorus in concentrations over 0.03% by weight. The present research concerns the use of metabolic products of aPenicillium-like fungus to leach insoluble phosphates (hydroxyapatite) from ores. Ion chromatography was used to measure metabolism of glucose into acidic fragments. The rate and products of glucose degradation depended on both the chemical composition of the growth medium (buffered or not) and incubation conditions (shaken or quiescent). The principal products were identified as oxalic acid and isomers of propylene dicarboxylic acid, mainly itaconic acid. Continued, slow metabolism of itaconic acid generates more oxalic acid. Aliphatic acids were not detected. Both iron ore phosphate and calcium phosphate were partially solubilized by either the spent broth or aqueous oxalic acid. Solubilization of ore phosphorus was greatly assisted by hydrochloric acid added to the spent broth in small increments. The data suggest biological alternatives to costly leaching procedures that use only mineral acids.
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  • 97
    ISSN: 1476-5535
    Keywords: IL-4 ; E. coli ; Expression ; Plasmid constructions ; Secretion
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Summary Human IL-4 (hIL-4) has been cloned from a human T cell line based on its homology to the murine IL-4 cDNA sequence [36]. We have compared cytoplasmic and extra-cytoplasmic expression of this basic protein inEscherichia coli using various combinations of promoters, replicons and host strains. Strains producing a cytoplasmic product were most successful at heterologous protein expression, producing up to 500 mg/l of an inactive aggregated form of the protein. The biological activity of the protein could be restored by refolding the protein with guanidine hydrochloride and glutathione giving a specific activity identical to that of IL-4 derived from CHO cell lines stably transformed with an hIL-4 expression plasmid. Strains designed to secrete human IL-4 into the periplasmic space produced far less protein (approximately 5 mg/l). However, a significant fraction of this protein was detected in the culture medium. This fraction appeared to be soluble after ultracentrifugation, and demonstrated high specific activity without refolding. Leakage of heterologous protein into the culture medium may be a viable way to recover biologically active products without relying on the denaturation and refolding in vitro that can, at times, yield incorrectly folded gene product.
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    Journal of industrial microbiology and biotechnology 5 (1990), S. 229-237 
    ISSN: 1476-5535
    Keywords: Chymosin ; Acid protease ; Diazoacetyl-norleucine methyl ester ; Microculture ; Aspergillus awamori ; Heterologous protein
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    Topics: Biology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Summary Through the course of five rounds of mutagenesis of a genetically-engineered strain ofAspergillus awamori, the yield of a heterologous protein (the acid protease, calf chymosin) increased four-fold. This was accomplished through the use of an agar plate screen incorporating the colony restrictor 2,6-dichloro-4-nitroaniline (dichloran) and the acid protease inhibitor diazoacetyl-norleucine methyl ester (DAN) to reduce high background concentrations of the native acid protease. A miniaturized liquid culture growth method using 24-well culture plates was an intermediate screen between agar plate and shake flask cultures. Analysis of broth samples for active calf chymosin was accomplished with a highly specific, 96-well microtiter plate turbidimetric assay.
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    Journal of industrial microbiology and biotechnology 5 (1990), S. 239-246 
    ISSN: 1476-5535
    Keywords: Streptomyces avidinii streptavidin ; Assay ; Production ; Media improvement ; Improved process
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Summary The production of streptavidin byStreptomyces avidinii in several different media was examined at 24, 48 and 72 hours. Flask studies indicated that fermentation media containing either complex or multiple carbon sources resulted in higher yields of streptavidin than media with a single carbon source. Streptavidin could be detected in crude fermentation broths by use of a tritiated biotin binding assay. This assay appears to give useful estimates of streptavidin production. Depending upon the medium employed, streptavidin yields ranged from 0.5 mg/l to 53 mg/l. Production was successfully scaled up to ten liter fermentors. Streptavidin was purified in a one step process from centrifuged, concentrated fermentation broths by binding the protein to an iminobiotin column at pH 11 followed by elution at pH 4.0. Recovery percentages varied depending upon the solubility of the fermentation media ingredients.
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    Journal of industrial microbiology and biotechnology 5 (1990), S. 247-257 
    ISSN: 1476-5535
    Keywords: Methanogenesis ; Sulfate reduction ; Competitive inhibition ; Sulfide inhibition ; COD
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    Topics: Biology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Summary The continuously operated suspended growth anaerobic contact system was utilized to estimate the effect of sulfate reduction on the thermophilic (55°C) methane fermentation process. Results indicated that reduction in methanogenesis in the presence of sulfate was due to two separate, but related, processes;i.e. competitive and sulfide inhibition. Although prevention of competitive inhibition would be difficult under normal fermenter operation, sulfide inhibition could be minimized by environmental selection of sulfide tolerant microbial populations through biomass recycle and pH control. Stable fermenter operation was achieved at soluble sulfide concentrations as high as 330 mg/l soluble sulfide. Using batch fermenters, a maximum thermophilic sulfate reduction rate of 3.7 mg SO4 2−−S/g volatile solids (VS)-day was estimated. The importance of reporting sulfate reduction rates on a biomass basis is demonstrated by a simple population adjustment kinetic model.
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