Differential Equation Analysis Set

Included in this set: Differential Equation Analysis in Biomedical Science and Engineering: Partial Differential Equation Applications with R With the needed mathematical and computational tools, this book provides a solid foundation in formulating and solving real–world PDE numerical and analytical problems in various fields from applied mathematics, engineering, and computer science to biology and medicine, includes supporting documentation and step–by–step guidance, and features R codes that can be easily and conveniently used by readers. Topical coverage includes: introduction to PDEs and chemotaxis; pattern formation; Belousov–Zhabotinskii reaction system; Hodgkin–Huxley and Fitzhugh–Nagumo models; spatiotemporal effects of anesthesia during surgery; developing retinal vasculature; temprtature distributions in cryosurgery; multisection membrane separation system; and origin of PDEs and reaction–diffusion equations.   Differential Equation Analysis in Biomedical Science and Engineering: Ordinary Differential Equation Applications with R This book provides readers with the necessary knowledge to reproduce and extend the numerical solutions with reasonable effort and is a valuable resource dealing with a vast class of differential and nonlinear algebraic equations. The investigated problems include ODEs supplemented with initial and boundary conditions. The studied equations describe a wide variety of fascinating phenomena such as apoptosis, cellular differentiation, and many others. Topical coverage includes: introduction to ODE analysis and bioreactor dynamics; diabetes glucose tolerance test; apoptosis (programmed cell death); dynamic neuron model; stem cell differentiation; acetylecholine neurocycle; tuberculosis with differential infectivity; corneal curvature; and stiff ODE integration.