COMPUTATIONAL CHEMOTAXIS MODELS FOR NEURODEGENERATIVE DISEASE

Langue : anglais

Edité par World Scientific Publishing Co Pte Ltd, SG, 2017

9813208910 / 9789813208919

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A propos de cet article

The mathematical model presented in this book, based on partial differential equations (PDEs) describing attractant-repellent chemotaxis, is offered for a quantitative analysis of neurodegenerative disease (ND), e.g., Alzheimer's disease (AD). The model is a representation of basic phenomena (mechanisms) for diffusive transport and biochemical kinetics that provides the spatiotemporal distribution of components which could explain the evolution of ND, and is offered with the intended purpose of providing a small step toward the understanding, and possible treatment of ND.The format and emphasis of the presentation is based on the following elements:A statement of the PDE system, including initial conditions (ICs), boundary conditions (BCs) and the model parameters.;Algorithms for the calculation of numerical solutions of the PDE system with a minimum of mathematical formality.;A set of R routines for the calculation of numerical solutions, including a detailed explanation of all of the sections of the code. The R routines can be executed after a straightforward download of R, an open-source scientific computing system available from the Internet.;Presentation of the numerical solutions, particularly in graphical (plotted) format to enhance the visualization of the solution.;Summary and conclusions concerning the principal results from the model that might serve as the basis for a next step in the modeling of ND.;In other words, a methodology for numerical PDE modeling is presented that is flexible, open ended and readily implemented on modest computers. If the reader is interested in an alternate model, it might possibly be implemented by: (1) modifying and/or extending the current model (for example, by adding terms to the PDEs or adding additional PDEs), or (2) using the reported routines as a prototype for the model of interest.These suggestions illustrate an important feature of computer-based modeling, that is, the readily available procedure of numerically experimenting with a model. The current model is offered as only a first step toward the resolution of this urgent medical problem.…

Titre
COMPUTATIONAL CHEMOTAXIS MODELS FOR NEURODEGENERATIVE DISEASE
Auteur
William E Schiesser
Éditeur
World Scientific Publishing Co Pte Ltd, SG
Année de publication
2017
État de l'article
New
Reliure
Paperback
Langue
anglais
ISBN à 10 chiffres
9813208910
ISBN à 13 chiffres
9789813208919

Rarewaves.com USA

London, London, Royaume-Uni

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