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  • Articles  (32,433)
  • Articles: DFG German National Licenses  (32,433)
  • Springer  (32,433)
  • 1980-1984  (32,433)
  • 1984  (32,433)
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  • Articles  (32,433)
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  • 1980-1984  (32,433)
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  • 1
    Electronic Resource
    Electronic Resource
    Comment on biomass diversity in ecology (1984)
    Springer
    Bulletin of mathematical biology 46 (1984), S. 967-969 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract It is observed that a dynamical continuity equation for biomass distribution yields the asymptotic steady-state exponential dependencen=A exp( $$ - m/\bar m$$ ) exhibited by certain fishery data, wherem is the biomass of an individual,n is the number of individuals per unit biomass interval, andA, $$\bar m$$ are positive constants. This dynamical approach to biomass distribution is an alternative to the global maximization principle proposed recently by Lurié and Wagensberg.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02462083
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  • 2
    Electronic Resource
    Electronic Resource
    Physik der Selbstorganization und Evolution (1984)
    Springer
    Bulletin of mathematical biology 46 (1984), S. 971-972 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02462084
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  • 3
    Electronic Resource
    Electronic Resource
    Announcements (1984)
    Springer
    Bulletin of mathematical biology 46 (1984), S. 973-974 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02462085
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  • 4
    Electronic Resource
    Electronic Resource
    Random selection—A simple model based on linear birth and death processes (1984)
    Springer
    Bulletin of mathematical biology 46 (1984), S. 11-17 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract Linear birth and death processes are used to derive simple expressions for sequential extinction times and gene fixation probabilities in asexual populations.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02463720
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  • 5
    Electronic Resource
    Electronic Resource
    On the measurement of shapes (1984)
    Springer
    Bulletin of mathematical biology 46 (1984), S. 1-10 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract We are here concerned with the functionf which assigns to each pointP of an object the numberf(P) which is the shortest distance fromP to the border. This function appears in various guises in diverse biological studies. The functionf(P) is itself a measure of shape—or more precisely, an infinite set of measures, one for each point (and hence, in view of its geometric definition, usually in a form inconvenient for use). Thus in this paper we sought a reasonable representative of this infinite set of measures, namely themean of the numbersf(P) asP ranges over all points of the entity. Computability studies are developed for various classes of shapes. For example, (1) the mean for a lamina bounded by a polygon circumscribable about a circle of radiusr isr/3; (2) the mean for a domain bounded by a polyhedron circumscribable about a sphere of radiusr isr/4. The transition from pointwise to piecewisef(P), especially in the non-convex case, requires working with inequalities.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02463719
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  • 6
    Electronic Resource
    Electronic Resource
    Traveling bands of chemotactic bacteria in the context of population growth (1984)
    Springer
    Bulletin of mathematical biology 46 (1984), S. 19-40 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract A mathematical model for traveling bands of motile and chemotactic bacteria in the presence of cell growth and death is examined. It is found that asymptotic traveling wave solutions exist in the absence of chemotaxis, due to the balance of growth, death and random motility. Thus random motility confers the ecological advantage of population propagation through migration into nutrient-rich regions. The presence of chemotaxis amplifies this advantage by moving more cells into higher nutrient concentration regions, resulting in larger and faster bands. Therefore there seem to be two types of traveling bands that can be attained by chemotactic bacteria in the presence of growth and death: (1) these growth/death/motility bands; and (2) pure chemotactic ‘Keller-Segel'-type bands. Comparison to experimental observations by Chapman in 1973 indicate that the latter seem to be formed. The relationship between these two types of solution is at present uncertain. The growth/death/motility bands may have relevance on longer time or distance scales characteristic of microbial ecological systems.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02463721
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  • 7
    Electronic Resource
    Electronic Resource
    A mathematical model of the pathological functional state of the oxygen transport system (1984)
    Springer
    Bulletin of mathematical biology 46 (1984), S. 115-125 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract Based on the principle of minimum power, a mathematical model of the pathological functional state of the oxygen transport system is presented. The model is used to determine the optimal functional parameters of the oxygen transport system in hyperthyroidism, anemia and hypertension. Theoretical results are compared with clinical data.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02463725
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  • 8
    Electronic Resource
    Electronic Resource
    Stability in an insect-pathogen model incorporating age-dependent immunity and seasonal host reproduction (1984)
    Springer
    Bulletin of mathematical biology 46 (1984), S. 139-153 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract A modified SIRS model is developed as a framework for the study of epizootiological dynamics in an insect-pathogen system. Linearized stability analysis reveals that the system with one immune and one susceptible host class can exhibit stable, periodic or unstable behavior depending on model parameters. In general, high pathogenicity, short pathogen propagule lifespan and high host reproductive rate are stabilizing influences. Pathogen transmissibility and propagule production/host do not influence local stability. The effect of seasonal host reproduction is studied because most insect hosts are seasonal in temperate climates. The basic stability dependence on model parameters holds except as modified by the length of the reproduction interval. The results of this study are compared with the recent work of Anderson and May.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02463727
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  • 9
    Electronic Resource
    Electronic Resource
    Random predator-prey interactions in a varying environment: Extinction or survival (1984)
    Springer
    Bulletin of mathematical biology 46 (1984), S. 175-184 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract The random predator-prey type interactions of the population species in a random varying environment have been investigated. The Fokker-Planck equation for the transition probability, corresponding to the stochastic differential equations established from Lotka-Volterra equations by the introduction of randomness and variability, has been integrated in the form of a path integral. The transition probabilities for extinction or survival of one or several species have been approximately evaluated and investigated.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02463729
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  • 10
    Electronic Resource
    Electronic Resource
    Coexistence of two microbial populations competing for a renewable resource in a non-predator-prey system (1984)
    Springer
    Bulletin of mathematical biology 46 (1984), S. 155-174 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract If two microbial populations compete for a single resource in a homogeneous environment with time invariant inputs they cannot coexist indefinitely if the resource competed for is not renewed by biological activity within the system. Mathematical studies have shown that in a predator-prey system, where the resource (prey) is self-renewing, the two competitors (predators) can coexist in a limit cycle. This suggests that if the resource competed for is renewed by biological activity within the system coexistence can occur in any microbial system provided that it exhibits the same features as, but without being, a predator-prey one. A food chain involving commensalism, competition and amensalism is presented here. Two subcases are considered. It is only when maintenance effects are taken into account that coexistence, in limit cycles, can occur for this system. Limit cycle solutions for the system are demonstrated with the help of computer simulations. Some necessary conditions for coexistence are presented, as are some speculations regarding the possible physical explanations of the results.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02463728
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