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tumor.html
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<html>
<head>
<title>
TUMOR - A 1D Model of Tumor Growth
</title>
</head>
<body bgcolor="#EEEEEE" link="#CC0000" alink="#FF3300" vlink="#000055">
<h1 align = "center">
TUMOR <br> A 1D Model of Tumor Growth
</h1>
<hr>
<p>
<b>TUMOR</b>
is a MATLAB program which
solves a one dimensional model of tumor growth.
</p>
<h3 align = "center">
Licensing:
</h3>
<p>
The computer code and data files described and made available on this web page
are distributed under
<a href
<h3 align = "center">
Languages:
</h3>
<p>
<b>TUMOR</b> is available in
<a href = "../../m_src/tumor/tumor.html">a MATLAB version</a>.
</p>
<h3 align = "center">
Author:
</h3>
<p>
The code was developed by Janet Peterson.
</p>
<h3 align = "center">
Reference:
</h3>
<p>
<ol>
<li>
Howard Levine, Brian Sleeman, Marit Nilsen-Hamilton,<br>
Mathematical Modeling of the onset of capillary formation
initiating angiogenesis,<br>
Journal of Mathematical Biology,<br>
Volume 41, 2001, pages 195-238.
</li>
</ol>
</p>
<h3 align = "center">
Source Code:
</h3>
<p>
<ul>
<li>
<a href = "assemble_mass.m">assemble_mass.m</a>,
assembles the mass matrix;
</li>
<li>
<a href = "assemble_stiff.m">assemble_stiff.m</a>,
assembles the stiffness matrix;
</li>
<li>
<a href = "bio_constants.m">bio_constants.m</a>,
sets biological constants for the problem;
</li>
<li>
<a href = "err.m">err.m</a>,
computes the L2 and H1 errors;
</li>
<li>
<a href = "eval_pt.m">eval_pt.m</a>,
evaluates the finite element solution at a point;
</li>
<li>
<a href = "exact.m">exact.m</a>,
evaluates an exact solution as a test;
</li>
<li>
<a href = "gauss3pt.m">gauss3pt.m</a>,
sets the Gauss 3 point quadrature rule;
</li>
<li>
<a href = "geom.m">geom.m</a>,
sets up geometric data for the problem.
</li>
<li>
<a href = "gridx.m">gridx.m</a>,
a function that maps a uniform to a nonuniform grid.
</li>
<li>
<a href = "quadbf.m">quadbf.m</a>,
evaluates the quadratic basis functions.
</li>
<li>
<a href = "residual.m">residual.m</a>,
evaluates the residual of the finite element equations.
</li>
<li>
<a href = "rhs_lag.m">rhs_lag.m</a>,
evaluates the nonlinear portion of the right hand side, which
is lagged.
</li>
<li>
<a href = "rhsfun.m">rhsfun.m</a>,
evaluates the right hand side.
</li>
<li>
<a href = "rhsfun_source.m">rhsfun_source.m</a>,
evaluates the source term.
</li>
<li>
<a href = "set_ic.m">set_ic.m</a>,
sets the initial conditions.
</li>
<li>
<a href = "solve_eqn.m">solve_eqn.m</a>,
sets up the equations and solves them.
</li>
<li>
<a href = "tau_prob.m">tau_prob.m</a>,
evaluates the derivative of tau.
</li>
<li>
<a href = "tumor1d.m">tumor1d.m</a>,
the main program, which defines the problem,
solves it, and prints the solution.
</li>
</ul>
</p>
<p>
You can go up one level to <a href = "../m_src.html">
the MATLAB source codes</a>.
</p>
<hr>
<i>
Last revised on 08 November 2005.
</i>
<!-- John Burkardt -->
</body>
</html>