{"product_id":"differential-equation-analysis-set-isbn-9781118775257","title":"Differential Equation Analysis Set","description":"\u003cp\u003e\u003cb\u003eIncluded in this set:\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003ci\u003eDifferential Equation Analysis in Biomedical Science and Engineering: Partial Differential Equation Applications with R\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003eWith 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.\u003c\/p\u003e \u003cp\u003eTopical 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.\u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e \u003cp\u003e\u003ci\u003eDifferential Equation Analysis in Biomedical Science and Engineering: Ordinary Differential Equation Applications with R\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003eThis 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.\u003c\/p\u003e \u003cp\u003eTopical 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.\u003c\/p\u003e \u003cp\u003ePreface ix\u003c\/p\u003e \u003cp\u003e1. Introduction to Partial Differentiation Equation Analysis: Chemotaxis 1\u003c\/p\u003e \u003cp\u003e2. Pattern Formation 43\u003c\/p\u003e \u003cp\u003e3. Belousov–Zhabotinskii Reaction System 103\u003c\/p\u003e \u003cp\u003e4. Hodgkin–Huxley and Fitzhugh–Nagumo Models 127\u003c\/p\u003e \u003cp\u003e5. Anesthesia Spatiotemporal Distribution 163\u003c\/p\u003e \u003cp\u003e6. Influenza with Vaccination and Diffusion 207\u003c\/p\u003e \u003cp\u003e7. Drug Release Tracking 243\u003c\/p\u003e \u003cp\u003e8. Temperature Distributions in Cryosurgery 287\u003c\/p\u003e \u003cp\u003eIndex 323\u003c\/p\u003e \u003cp\u003e\u003cbr\u003ePreface ix\u003c\/p\u003e \u003cp\u003e1. Introduction to Ordinary Differential Equation Analysis: Bioreactor Dynamics 1\u003c\/p\u003e \u003cp\u003e2. Diabetes Glucose Tolerance Test 79\u003c\/p\u003e \u003cp\u003e3. Apoptosis 145\u003c\/p\u003e \u003cp\u003e4. Dynamic Neuron Model 191\u003c\/p\u003e \u003cp\u003e5. Stem Cell Differentiation 217\u003c\/p\u003e \u003cp\u003e6. Acetylcholine Neurocycle 241\u003c\/p\u003e \u003cp\u003e7. Tuberculosis with Differential Infectivity 321\u003c\/p\u003e \u003cp\u003e8. Corneal Curvature 337\u003c\/p\u003e \u003cp\u003eAppendix A1: Stiff ODE Integration 375\u003c\/p\u003e \u003cp\u003eIndex 417\u003c\/p\u003e  \u003cp\u003eWilliam E. Schiesser is Emeritus McCann Professor of Computational Biomedical Engineering and Chemical and Biomolecular Engineering at Lehigh University.\u003c\/p\u003e","brand":"Wiley","offers":[{"title":"Default Title","offer_id":47989062402277,"sku":"NP9781118775257","price":203.95,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1842\/7735\/files\/9781118775257.jpg?v=1761782637","url":"https:\/\/k12savings.com\/es\/products\/differential-equation-analysis-set-isbn-9781118775257","provider":"K12savings","version":"1.0","type":"link"}