MonographDOI
Mathematical Models in Biology
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TLDR
The theory of linear difference equations applied to population growth and the applications of nonlinear difference equations to population biology are explained.Abstract:
Part I. Discrete Process in Biology: 1. The theory of linear difference equations applied to population growth 2. Nonlinear difference equations 3. Applications of nonlinear difference equations to population biology Part II. Continuous Processes and Ordinary Differential Equations: 4. An introduction to continuous models 5. Phase-plane methods and qualitative solutions 6. Applications of continuous models to population dynamics 7. Models for molecular events 8. Limit cycles, oscillations, and excitable systems Part III. Spatially Distributed Systems and Partial Differential Equation Models: 9. An introduction to partial differential equations and diffusion in biological settings 10. Partial differential equation models in biology 11. Models for development and pattern formation in biological systems Selected answers Author index Subject index.read more
Citations
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Book ChapterDOI
Mathematical Modeling and Analysis of Intracellular Signaling Pathways
TL;DR: In this paper, the authors provide an overview of concepts and techniques necessary to describe and analyze the operation of intracellular signaling pathways with concise mathematical language. But they do not provide a detailed discussion of the specific types of pathway dynamics.
Journal ArticleDOI
Apical leaf necrosis and leaf nitrogen dynamics in diseased leaves: a model study
TL;DR: The model reproduces observed trends of disease severity, apical necrosis and green leaf area (GLA) and leaf N dynamics of uninfected and infected leaves and could provide a tool to more accurately estimate crop yield and effects of disease management strategies in crops sensitive to fungal pathogens.
Journal ArticleDOI
Cell population heterogeneity in expression of a gene-switching network with fluorescent markers of different half-lives.
TL;DR: The wide range of fluorescent phenotypes and the inability of the average population properties to fully characterize network behavior, indicate the importance of taking into account cell population heterogeneity when designing such a gene-switching network for biotechnological and biomedical applications.
Journal ArticleDOI
Complexity of a Duopoly Game in the Electricity Market with Delayed Bounded Rationality
Junhai Ma,Hongliang Tu +1 more
TL;DR: In this article, a Cournot duopoly game model with delayed bounded rationality is proposed to solve the problem of the electricity market, which is closer to the reality of the real world and worth spreading in oligopoly.
Journal ArticleDOI
Mathematical model of the role of intercellular signalling in intercellular cooperation during tumorigenesis
TL;DR: A model is presented that incorporates signal‐stimulated cell proliferation, and influences of diffusion‐driven heterogeneity in signal concentration on proliferation dynamics are investigated.