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Computational Chemotaxis Models For Neurodegenerative Disease (Paperback)
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Computational Chemotaxis Models For Neurodegenerative Disease (Paperback)
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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: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.
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