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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Journal ArticleDOI
Vesicle formation in the Golgi apparatus.
TL;DR: A model for this process is proposed based on the notion that molecular surfactants can release the elastic energy stored in the lipid bilayer, which may drive other vesiculation processes, including coated vesicle formation and budding of enveloped viruses from the plasma membrane.
Biomimicry and Fuzzy Modeling:A Match Made in Heaven
TL;DR: In this paper, the authors highlight the application of fuzzy modeling in biomimicry and apply it to obtain a mathematical model of an animal's behavior which can be implemented by artificial systems (e.g., autonomous robots).
Journal ArticleDOI
Modelling fungal (Neozygites cf. floridana) epizootics in local populations of cassava green mites (Mononychellus tanajoa)
TL;DR: In this paper, the authors proposed a simple, analytically tractable model that can be used to estimate the maximal capacity of the fungus to decimate local populations of the cassava green mite.
Journal ArticleDOI
A mathematical model for weed dispersal and control
TL;DR: In this paper, a model incorporating periodic control, e.g., herbicide application, is derived for a plant population in a spatially homogeneous setting, where plant dispersal is incorporated.
Journal ArticleDOI
Traveling waves in coupled reaction-diffusion models with degenerate sources.
TL;DR: It is shown that a system of coupled nonlinear diffusion equations characterized by having degenerate source terms and thereby not having isolated rest states can lead to a pair of waves that initially propagate outwards from the disturbance, slow down, and reverse direction before ultimately colliding and annihilating each other.