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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Proceedings ArticleDOI
Scalar Newton-based Extremum Seeking for a Class of Diffusion PDEs
TL;DR: The proposed adaptive control scheme for real-time optimization follows two basic steps: first, it cancels out the effects of the actuation dynamics in the dither signals, and second, it applies a boundary control for the diffusion process via backstepping transformation.
Dissertation
Mathematical Modelling of Oxygen - Plankton System under the Climate Change
TL;DR: In this paper, the authors developed a baseline oxygen-phytoplankton model which is further developed through the addition of biologically relevant factors such as plankton respiration and the predator effect of zooplanktons.
Journal ArticleDOI
CMOS weak‐inversion log‐domain glycolytic oscillator: a cytomimetic circuit example
TL;DR: This paper presents a 3?V, 1.21?W subthreshold log-domain circuit which mimics the oscillations observed during the biochemical process of glycolysis due to the phosphofructokinase enzyme and compares its dynamics with prototype biological behaviour.
Journal ArticleDOI
Critical parameters for modelling the spread of foot-and-mouth disease in wildlife.
TL;DR: The predicted spread of foot-and-mouth disease was found to be most sensitive to the assumed latent period and the assumed number of contacts, which is likely to be critical in studies on the impact of FMD spread in situations in which wildlife reservoirs might potentially exist.
Posted Content
Estimation in Systems of Ordinary Differential Equations Linear in the Parameters
TL;DR: In this article, estimators are presented that reduce the computational burden dramatically and have desirable statistical properties, such as √ n-consistency, finite sample performance, and low computational complexity.