MonographDOI
Mathematical Models in Biology
Reads0
Chats0
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
More filters
Journal ArticleDOI
Bayesian Model Comparison and Parameter Inference in Systems Biology Using Nested Sampling
Nick Pullen,Richard J. Morris +1 more
TL;DR: It is demonstrated how nested sampling can be used to reverse-engineer a system's behaviour whilst accounting for the uncertainty in the results, and the addition of data from extra variables of the system can deliver more information for model comparison than increasing the data from one variable, thus providing a basis for experimental design.
Journal ArticleDOI
Haar wavelet collocation approach for the solution of fractional order COVID-19 model using Caputo derivative
TL;DR: In this paper, a compartmental mathematical model for the transmission dynamics of the novel Coronavirus-19 under Caputo fractional order derivative was proposed by using fixed point theory of Schauder's and Banach and established some necessary conditions for existence of at least one solution to model under investigation and its uniqueness.
Journal ArticleDOI
Weightlessness acts on human breast cancer cell line MCF-7.
Jany Vassy,Stéphanie Portet,Michael Beil,G. Millot,Françoise Fauvel-Lafève,G. Gasset,D. Schoevaert +6 more
TL;DR: Different mechanisms involved in weightlessness alteration of microtubules are discussed, including alteration of their self-organization by reaction-diffusion processes, and a mathematical model is proposed, acting on both microtubule and microfilament networks in cell cortex.
Journal ArticleDOI
Extinction times and moment closure in the stochastic logistic process
TL;DR: The coefficient of variation in the extinction time V is found to have a maximum value when the death and birth rates are close in value, and for large habitat size K it is found that Vmax is of order K1/4 / M1/2, which is much larger than unity so long as M is small compared to K 1/2.
Journal ArticleDOI
Large-Scale Fungicide Spray Heterogeneity and the Regional Spread of Resistant Pathogen Strains
TL;DR: A spatially implicit metapopulation model is used to describe the dynamics of regional spread, in which subpopulations correspond to single fields, and shows that the criterion for the regional invasion of pathogens between fields differs from that for invasion within fields.