44444444 - Neumann boundary condition on the right...

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BIM 107 Winter 2011 Problem Set 4 (Partial Differential Equations) Due: 2/24/11 1. The flow and migration of human polymorphonuclear leukocytes on prosthetic material surfaces can be modeled by the diffusion equation (Assuming that the value of the directional migratory velocity of the cells is insignificant) Solve this problem using the following initial/ boundary conditions given below (Note:
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Unformatted text preview: Neumann boundary condition on the right boundary) Initial condition: t = 0 all z > 0 C = 0 Boundary condition: t > 0 z = 0 C = 1 x 10 6 z = 0.2 C/ z = 0 [Ref: Numerical Methods in Biomedical Engineering By Stanley M. Dunn, Alkis Constantinides, and Prabhas V. Moghe] ! C ! t = D ! 2 C ! z 2...
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