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    Computational chemotaxis models for neurodegenerative disease / William E. Schiesser, Lehigh University, USA.

    • Title:Computational chemotaxis models for neurodegenerative disease / William E. Schiesser, Lehigh University, USA.
    •    
    • Author/Creator:Schiesser, W. E., author.
    • Published/Created:New Jersey : World Scientific, [2017]
    • Holdings

       
    • Library of Congress Subjects:Nervous system--Degeneration.
      Alzheimer's disease.
      Differential equations, Partial.
      Chemotaxis.
    • Medical Subjects: Alzheimer Disease--physiopathology.
      Chemotaxis.
      Models, Theoretical.
    • Description:viii, 163 pages : illustrations ; 24 cm
    • Notes:Includes bibliographical references and index.
    • ISBN:9789813207455 (hardcover : alk. paper)
      9813207450 (hardcover : alk. paper)
      9789813208919 (softcover : alk. paper)
      9813208910 (softcover : alk. paper)
    • Contents:Machine generated contents note: ch. 1 Introduction
      Appendix A1.1 Diffusion Models
      ch. 2 3-PDE Chemotaxis Model
      (2.1). 3-PDE Model, Orthogonal Coordinates
      (2.2). Vector Operators in Spherical Coordinates
      (2.3). 1D, 3-PDE Model, Spherical Coordinates
      (2.4). Model Parameters
      ch. 3 R Routines
      (3.1). ODE/MOL Routine
      (3.2). Main Program
      (3.3). Subordinate Routine
      ch. 4 Model Output
      (4.1). PDE Solution Vector
      (4.2). PDE Solution Vector with t Derivative Vectors
      (4.3). PDE Solution Vector with t Derivative Vectors and RHS Terms
      ch. 5 Model Variants
      (5.1). Effect of the Attractor/Repellent
      (5.2). Alternate Boundary Conditions
      (5.3). Time-limited Source Function
      (5.4). Summary and Conclusions
      ch. 6 Extensions and Conclusions
      (6.1). Alternate Production/Depletion Rates
      (6.2). Nonlinear Diffusion
      (6.3). Additional Cells and Chemicals
      (6.4). Conclusions
      Appendix A Analysis of PDE Chemotaxis Terms
      (A.1). Numerical Approximation of PDE Chemotaxis Terms
      (A.2). Analysis of the PDE Chemotaxis Terms
      Appendix B Function dss006.
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