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1

Digitale Medien

Complementary variational principles for diffusion problems with Michaelis-Menten kinetics (1980)

Anderson, N. ; Arthurs, A. M.

Springer

Bulletin of mathematical biology 42 (1980), S. 131-135

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ISSN: 1522-9602

Quelle: Springer Online Journal Archives 1860-2000

Thema: Biologie , Mathematik

Notizen: Abstract The theory of complementary variational principles is used to obtain maximum and minimum principles for diffusion problems with Michaelis-Menten kinetics. In an illustrative calculation we obtain an extremely accurate variational solution in good agreement with the numerical solution of McElwain (1978).

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/BF02462371

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2

Digitale Medien

Structural order and partial disorder in biological systems (1980)

Baianu, Ion C.

Springer

Bulletin of mathematical biology 42 (1980), S. 137-141

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ISSN: 1522-9602

Quelle: Springer Online Journal Archives 1860-2000

Thema: Biologie , Mathematik

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/BF02462372

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3

Digitale Medien

Primitivity of the product of two Leslie matrices (1980)

Keller, Edward L.

Springer

Bulletin of mathematical biology 42 (1980), S. 181-189

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ISSN: 1522-9602

Quelle: Springer Online Journal Archives 1860-2000

Thema: Biologie , Mathematik

Notizen: Abstract Necessary and sufficient conditions for primitivity of a product of two Leslie matrices are given. Such a product could be used in modeling the growth of a population governed alternately by two different sets of fertility and survival parameters.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/BF02464637

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4

Digitale Medien

Frequency analysis of time-varying elastance model of the left ventricle (1980)

Min, B. G. ; Welkowitz, W. ; Fich, S.

Springer

Bulletin of mathematical biology 42 (1980), S. 173-180

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ISSN: 1522-9602

Quelle: Springer Online Journal Archives 1860-2000

Thema: Biologie , Mathematik

Notizen: Abstract Zadeh's transfer function method for linear time-variable systems is used to apply frequency-domain analysis to a periodically time-varying elastance model of the left ventricle. Left ventricular pressure computed from the system function of the time-varying elastance and the phasors of aortic flow shows a typical waveform of the measured ventricular pressure.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/BF02464636

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5

Digitale Medien

The 9th Annual Northeast Biomedical Engineering Conference (1980)

Springer

Bulletin of mathematical biology 42 (1980), S. 901-901

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ISSN: 1522-9602

Quelle: Springer Online Journal Archives 1860-2000

Thema: Biologie , Mathematik

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/BF02461068

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6

Digitale Medien

Entropy balance of white-tailed deer during a winter night (1987)

Aoki, Ichiro

Springer

Bulletin of mathematical biology 49 (1987), S. 321-327

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ISSN: 1522-9602

Quelle: Springer Online Journal Archives 1860-2000

Thema: Biologie , Mathematik

Notizen: Abstract The entropy budget of a white-tailed deer (50kg) on a maintenance diet and a full-feed diet in a standing posture in an open field under clear nocturnal skies with an air temperature of −20°C is investigated based on the energetics given by Moen. Entropy inflow into a white-tailed deer due to infra-red radiation and entropy outflows from a deer due to infra-red radiation, convection, evaporation of water and conduction to ingested food are calculated. Also the entropy production due to metabolic heat production is estimated. Net entropy flow into a deer from its environment becomes negative. On the assumption that a white-tailed deer is in a steady state in entropy, the total entropy production in a deer on a maintenance diet becomes +0.46 J/sec/K. Positiveness of the entropy production shows that the Second Law of Thermodynamics certainly holds in a white-tailed deer. The entropy production per effective radiating surface area of a deer on a maintenance diet is 0.32×10−4 J/cm2/sec/K. On the other hand, the entropy production in a deer on a full-feed diet is 0.59 J/sec/K and that per effective surface area is 0.41×10−4 J/cm2/sec/K. Uptake of 1 g of food produces 22 J/K of entropy within the body of a white-tailed deer. Comparison is made with the results for entropy production in a lizard and in plant leaves.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/BF02460123

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7

Digitale Medien

Book reviews (1987)

McIntosh, Robert P. ; Webb, Glenn ; Keener, James P. ; [weitere]

Springer

Bulletin of mathematical biology 49 (1987), S. 507-517

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ISSN: 1522-9602

Quelle: Springer Online Journal Archives 1860-2000

Thema: Biologie , Mathematik

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/BF02458867

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8

Digitale Medien

Editorial: Software survey section (1987)

Springer

Bulletin of mathematical biology 49 (1987), S. I

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ISSN: 1522-9602

Quelle: Springer Online Journal Archives 1860-2000

Thema: Biologie , Mathematik

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/BF02458868

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9

Digitale Medien

The [extended] maximum entropy formalism and the statistical structure of ecosystems (1987)

Wagensberg, Jorge ; Valls, Joaquim

Springer

Bulletin of mathematical biology 49 (1987), S. 531-538

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ISSN: 1522-9602

Quelle: Springer Online Journal Archives 1860-2000

Thema: Biologie , Mathematik

Notizen: Abstract Biological adaptability has been proved to be analysable by means of the Maximum Entropy Formalism (MAXENT) in some cases of non-interacting systems. This formalism is extended to the biomass statistical structures of populations exhibiting internal interactions (i.e. predatorprey effects).

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/BF02460136

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10

Digitale Medien

Theoretical study of a two-dimensional autocatalytic model for calcium dynamics at the extracellular fluid-bone interface (1987)

Tracqui, P. ; Perault-Staub, A. M. ; Milhaud, G. ; [weitere]

Springer

Bulletin of mathematical biology 49 (1987), S. 597-613

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ISSN: 1522-9602

Quelle: Springer Online Journal Archives 1860-2000

Thema: Biologie , Mathematik

Notizen: Abstract The temporal behaviours of the nonlinear substructure of a self-organized compartmental model of calcium metabolism were investigated. The order-two autocatalytic process included in this simple two-dimensional model is compared to some secondary nucleation mechanisms which should take place at the extracellular fluid-bone interface. The model gives rise to complex dynamic behaviours, and multistability properties, involving up to two stable periodic regimes (birhythmicity), were established in different topological configurations. The bifurcations occurring on the boundaries between regions of different qualitative behaviour have been determined. These properties are discussed in relation to the dynamical behaviour of other two-variable models, especially those including the same nonlinearity.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/BF02460138

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