Fixed Boundary PDE Model Implementation
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The computer implementation of the PDE cancer vaccine-immune checkpoint inhibitor (CV-ICI) PDE model developed in Chap. 1 is discussed in this chapter for the case of a tumor fixed outer boundary. The implementation is formulated as a set of routines that can be compiled and executed within the basic R system (R is a quality, open-source scientific computing system that is readily available from the Internet.). The numerical algorithm for the solution of the PDEs is the method of lines (MOL). The PDE solutions are in numerical and graphical (plotted) form. In addition to the ODE/MOL routine, routines are also provided for drug source functions and spatial averaging.
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[2] Karline Soetaert,et al. Solving Differential Equations in R , 2012 .