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
Modelling social animal aggregations
TL;DR: This chapter reviews theoretical approaches to animal aggregation, concentrating on aggregations which are caused by social interactions, and emphasizes methods and limitations, and suggests what the authors think are the most promising avenues for future research.
Journal ArticleDOI
A consumer–resource approach to the density-dependent population dynamics of mutualism
TL;DR: The results suggest that the C-R interaction can provide a broad mechanism for understanding density-dependent population dynamics of mutualism, and unifying predation, competition, and mutualism under the common ecological framework of consumer-resource theory.
Journal ArticleDOI
Differential trafficking of Kif5c on tyrosinated and detyrosinated microtubules in live cells
Sarah Dunn,Ewan E. Morrison,Tanniemola B. Liverpool,Carmen Molina-París,Robert A. Cross,Maria C. Alonso,Michelle Peckham +6 more
TL;DR: In vitro motility assays and in vitro analyses suggest that kinesin-1 preferentially binds to and trafficks on detyrosinated microtubules in vivo, providing a potential basis for the spatial targeting of kinesIn-1-based cargo transport.
Journal ArticleDOI
Synchrony, stability, and firing patterns in pulse-coupled oscillators
Pranay Goel,G. Bard Ermentrout +1 more
TL;DR: In this article, the authors studied non-trivial firing patterns in small assemblies of pulse-coupled oscillatory maps and found conditions for the existence of waves in rings of coupled maps that are coupled bi-directionally.
Journal ArticleDOI
A cellular automaton model for the effects of population movement and vaccination on epidemic propagation
TL;DR: The proposed model can serve as a basis for the development of algorithms to simulate real epidemics based on real data and establish the acceleration of the epidemic propagation because of the increment, of the percentage of the moving population, or of the maximum distance of population movement.