TUMOR
A 1D Model of Tumor Growth

TUMOR is a MATLAB program which solves a one dimensional model of tumor growth.

Author:

The code was developed by Janet Peterson.

Reference:

1. Howard Levine, Brian Sleeman, Marit Nilsen-Hamilton,
   Mathematical Modeling of the onset of capillary formation initiating angiogenesis,
   Journal of Mathematical Biology,
   Volume 41, 2001, pages 195-238.

Source Code:

• assemble_mass.m, assembles the mass matrix;
• assemble_stiff.m, assembles the stiffness matrix;
• bio_constants.m, sets biological constants for the problem;
• err.m, computes the L2 and H1 errors;
• eval_pt.m, evaluates the finite element solution at a point;
• exact.m, evaluates an exact solution as a test;
• gauss3pt.m, sets the Gauss 3 point quadrature rule;
• geom.m, sets up geometric data for the problem.
• gridx.m, a function that maps a uniform to a nonuniform grid.
• quadbf.m, evaluates the quadratic basis functions.
• residual.m, evaluates the residual of the finite element equations.
• rhs_lag.m, evaluates the nonlinear portion of the right hand side, which is lagged.
• rhsfun.m, evaluates the right hand side.
• rhsfun_source.m, evaluates the source term.
• set_ic.m, sets the initial conditions.
• solve_eqn.m, sets up the equations and solves them.
• tau_prob.m, evaluates the derivative of tau.
• tumor1d.m, the main program, which defines the problem, solves it, and prints the solution.

You can go up one level to the MATLAB source codes.