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 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;
temperature distributions in cryosurgery; multisection
membrane separation system; and origin of PDE 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 broad class of
differential and nonlinear algebraic equations. The
investigated problems include ODEs and associated initial
conditions. The studied equations describe a wide variety of basic
phenomena such as apoptosis, stem cell differentiation,
and many others.

Topical coverage includes: introduction to ODE analysis and
bioreactor dynamics; diabetes glucose tolerance
test; apoptosis; dynamic neuron model; stem cell
differentiation; acetylcholine neurocycle; tuberculosis with
differential infectivity; corneal curvature; and stiff ODE
integration.