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1

Digitale Medien

Comment on biomass diversity in ecology (1984)

Rosen, Gerald

Springer

Bulletin of mathematical biology 46 (1984), S. 967-969

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ISSN: 1522-9602

Quelle: Springer Online Journal Archives 1860-2000

Thema: Biologie , Mathematik

Notizen: 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.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/BF02462083

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2

Digitale Medien

Physik der Selbstorganization und Evolution (1984)

Conrad, Michael

Springer

Bulletin of mathematical biology 46 (1984), S. 971-972

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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/BF02462084

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3

Digitale Medien

Announcements (1984)

Springer

Bulletin of mathematical biology 46 (1984), S. 973-974

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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/BF02462085

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4

Digitale Medien

Modeling of biological tree structures (1979)

Yeh, H. C.

Springer

Bulletin of mathematical biology 41 (1979), S. 893-898

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ISSN: 1522-9602

Quelle: Springer Online Journal Archives 1860-2000

Thema: Biologie , Mathematik

Notizen: Abstract Biological tree-like structures, such as mammalian tracheobronchial airways, are complicated branching systems. One problem in modeling such systems is the reassignment of the number of segments at a given generation in the model being constructed. A hypothesis is proposed which has successfully been used in modeling mammalian lung airways.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/BF02462385

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5

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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6

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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7

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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8

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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9

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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10

Digitale Medien

Multibreath tracer species dynamics in the lung (1981)

Saidel, Gerald M. ; Burma, Gerald M.

Springer

Bulletin of mathematical biology 43 (1981), S. 1-19

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ISSN: 1522-9602

Quelle: Springer Online Journal Archives 1860-2000

Thema: Biologie , Mathematik

Notizen: Abstract By studying the behavior of various tracer species in the lungs, one can assess many important characteristics which distinguish normal and abnormal function. Quantitative evaluation of function depends on the use of an appropriate model in conjunction with experimental data. A multi-compartment model is derived from mass balances to describe dynamic as well as (breath-averaged) steady-state transport processes between the environment and pulmonary capillary blood. The breathing cycle is divided into three time periods (inspiration, expiration, and pause) so that the model equations are discrete in time. No other model of tracer species transport in the lungs deals simultaneously with species dynamics, variable breathing pattern, distribution inhomogeneities, and non-equilibrium between alveolar gas and capillary blood. Models currently in the literature are shown to be special cases of the model presented here.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/BF02460935

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