ODE/PDE α-synuclein Models for Parkinson’s Disease

William E. Schiesser (Autor)

Buch | Softcover

228 Seiten

2018
Academic Press Inc (Verlag)
9780128146149 (ISBN)

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ODE/PDE Alpha-Synuclein Models for Parkinson’s Disease discusses a mechanism for the evolution of Parkinson’s Disease (PD) based on the dynamics of the protein α-synuclein, a monomer that has been implicated in this disease. Specifically, α-synuclein morphs and aggregates into a polymer that can interfere with functioning neurons and lead to neurodegenerative pathology. This book first demonstrates computer-based implementation of a prototype ODE/PDE model for the dynamics of the α-synuclein monomer and polymer, and then details the methodology for the numerical integration of ODE/PDE systems which can be applied to computer-based analyses of alternative models based on the reader's interest.

This book facilitates immediate computer use for research without the necessity to first learn the basic concepts of numerical analysis for ODE/PDEs and programming algorithms

Dr. William E. Schiesser is Emeritus McCann Professor of Chemical and Biomolecular Engineering, and Professor of Mathematics at Lehigh University. He holds a PhD from Princeton University and a ScD (hon) from the University of Mons, Belgium. His research is directed toward numerical methods and associated software for ordinary, differential-algebraic and partial differential equations (ODE/DAE/PDEs), and the development of mathematical models based on ODE/DAE/PDEs. He is the author or coauthor of more than 16 books, and his ODE/DAE/PDE computer routines have been accessed by some 5,000 colleges and universities, corporations, and government agencies.

1. Introduction, ODE Model Formulation2. Introduction, ODE Model Application3. Introduction, ODE/PDE Model Formulation4. Introduction, ODE/PDE Model Application5. Introduction, Convection-Diffusion-Reaction Model Formulation6. Introduction, Convection-Diffusion-Reaction Model Application7. Introduction, Forward and Reverse Axonal Transport

Appendix A1: Function dss012Appendix A2: Function dss044

Erscheinungsdatum	24.03.2018
Verlagsort	San Diego
Sprache	englisch
Maße	152 x 229 mm
Gewicht	450 g
Themenwelt	Medizin / Pharmazie ► Physiotherapie / Ergotherapie ► Orthopädie
Themenwelt	Technik ► Medizintechnik
ISBN-13	9780128146149 / 9780128146149
Zustand	Neuware