ODE/PDE ?-synuclein Models for Parkinson's Disease

Häftad, Engelska, 2018

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Beskrivning

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 ?-synuclein, a monomer that has been implicated in this disease. Specifically, ?-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 ?-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

Includes PDE routines based on the method of lines (MOL) for computer-based implementation of ODE/PDE models
Offers transportable computer source codes for readers, with line-by-line code descriptions relating to the mathematical model and algorithms
Authored by a leading researcher and educator in ODE/PDE models

Produktinformation

Utgivningsdatum:2018-02-14
Mått:152 x 229 x undefined mm
Vikt:450 g
Format:Häftad
Språk:Engelska
Antal sidor:228
Förlag:Elsevier Science
ISBN:9780128146149

Utforska kategorier

Biokemisk teknik inom Naturvetenskap och teknik
Biomedicinsk teknik inom Medicin

Mer om författaren

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.

Innehållsförteckning

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 TransportAppendix A1: Function dss012Appendix A2: Function dss044