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.
