Acta Biotheoretica

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Stability of a Stochastic Model of an SIR Epidemic with Vaccination
Acta Biotheoretica - Tập 65 - Trang 151-165 - 2017
P. J. Witbooi
We prove almost sure exponential stability for the disease-free equilibrium of a stochastic differential equations model of an SIR epidemic with vaccination. The model allows for vertical transmission. The stochastic perturbation is associated with the force of infection and is such that the total population size remains constant in time. We prove almost sure positivity of solutions. The main resu...... hiện toàn bộ
Adaptation, Punctuation and Information: A Rate-Distortion Approach to Non-Cognitive 'Learning Plateaus' in Evolutionary Process
Acta Biotheoretica - Tập 50 - Trang 101-116 - 2002
Rodrick Wallace
We extend recent information-theoretic phase transition approaches to evolutionary and cognitive process via the Rate Distortion and Joint Asymptotic Equipartition Theorems, in the circumstance of interaction with a highly structured environment. This suggests that learning plateaus in cognitive systems and punctuated equilibria in evolutionary process are formally analogous, even though evolution...... hiện toàn bộ
Discrete Mesh Approach in Morphogenesis Modelling: the Example of Gastrulation
Acta Biotheoretica - Tập 64 - Trang 427-446 - 2016
J. Demongeot, A. Lontos, E. Promayon
Morphogenesis is a general concept in biology including all the processes which generate tissue shapes and cellular organizations in a living organism. Many hybrid formalizations (i.e., with both discrete and continuous parts) have been proposed for modelling morphogenesis in embryonic or adult animals, like gastrulation. We propose first to study the ventral furrow invagination as the initial ste...... hiện toàn bộ
Analyse sémantique d'un mot polysémique: La fonction
Acta Biotheoretica - Tập 42 - Trang 91-98 - 1994
René Thom
Les emplois du mot fonction peuvent se grouper en: Tous dérivent d'un emploi unique: Fonction d'un instrument vu comme le controle d'une bifurcation.
Toward a gibbsian approach to the problems of growth and cancer
Acta Biotheoretica - Tập 12 - Trang 135-166 - 1957
Herbert E. Salzer
Certain sections ofJosiah Willard Gibbs's thermodynamics papers might be applicable to biological equilibrium and growth, normal or abnormal.Gibbs added terms⌆ Μ i dm i to the differential of the internal energy dε=tdη−pdΝ, (t=temperature,p=pressure,η=entropy,Ν=volume) where ...... hiện toàn bộ
Estimation of Parameters in a Bertalanffy Type of Temperature Dependent Growth Model Using Data on Juvenile Stone Loach (Barbatula barbatula)
Acta Biotheoretica - Tập 60 - Trang 393-405 - 2012
Johan Grasman, Willem B. E. van Deventer, Vincent van Laar
Parameters of a Bertalanffy type of temperature dependent growth model are fitted using data from a population of stone loach (Barbatula barbatula). Over two periods respectively in 1990 and 2010 length data of this population has been collected at a lowland stream in the central part of the Netherlands. The estimation of the maximum length of a fully grown individual is given special attention be...... hiện toàn bộ
Über die Funktionen, die die gesetzmässige Entwicklung der Gärungspilze (Saccharomyces spec.) ausdrücken und Zusammenfassung anderer Resultate
Acta Biotheoretica - Tập 4 - Trang 97-110 - 1938
Franz Kövessi
Author continues the publication which appeared in the Acta Biotheoretica I, p. 113–132, regarding his results obtained in course of research work on superior plants:Picea excelsa trees, and furthermore on unicellular living beings, namely yeast cells (Saccharomyces spec). Author made a pure culture with the unicellular culture method, and by occasional inoculation produced successors therefrom. H...... hiện toàn bộ
Preface
Acta Biotheoretica - Tập 41 - Trang 273-274 - 1993
Mathematical theory of the transmission of excitation from one tissue to another
Acta Biotheoretica - Tập 3 - Trang 81-86 - 1937
N. Rashevsky
Auf Grund der Vorstellung, dass die Erregungsleitung auf einer Wiedererregung der benachbarten Gewebebezirke durch lokale bioelektrische Ströme beruht, wurde vorher eine mathematische Theorie der Fortpflanzung der Erregung im Nerv entwickelt, welche einige Tatsachen befriedigend darstellt. In der vorliegenden Arbeit wird die Theorie auf den Fall angewandt, dass die Erregung von einem Gewebe auf ei...... hiện toàn bộ
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