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ODE/PDE a-synuclein Models for Parkinson’s Disease
Presents the first book to offer a software framework to study ODE/PDE prototype models for Parkinson’s Disease
William E. Schiesser (Author)
9780128146149, Elsevier Science
Paperback, published 14 February 2018
228 pages
22.9 x 15.1 x 1.6 cm, 0.45 kg
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 a-synuclein, a monomer that has been implicated in this disease. Specifically, a-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 a-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
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
Subject Areas: Biomedical engineering [MQW]