A 1D Model of Tumor Growth
is a MATLAB program which
solves a one dimensional model of tumor growth.
The computer code and data files described and made available on this web page
are distributed under
TUMOR is available in
a MATLAB version.
The code was developed by Janet Peterson.
Howard Levine, Brian Sleeman, Marit Nilsen-Hamilton,
Mathematical Modeling of the onset of capillary formation
Journal of Mathematical Biology,
Volume 41, 2001, pages 195-238.
assembles the mass matrix;
assembles the stiffness matrix;
sets biological constants for the problem;
computes the L2 and H1 errors;
evaluates the finite element solution at a point;
evaluates an exact solution as a test;
sets the Gauss 3 point quadrature rule;
sets up geometric data for the problem.
a function that maps a uniform to a nonuniform grid.
evaluates the quadratic basis functions.
evaluates the residual of the finite element equations.
evaluates the nonlinear portion of the right hand side, which
evaluates the right hand side.
evaluates the source term.
sets the initial conditions.
sets up the equations and solves them.
evaluates the derivative of tau.
the main program, which defines the problem,
solves it, and prints the solution.
You can go up one level to
the MATLAB source codes.
Last revised on 08 November 2005.