title: Fundamentals of Biostatistics (Rosner, Fundamentals of Biostatics)
author:  Bernard Rosner 
description: Bernard Rosner is Professor in the Department of Medicine, Harvard Medical School, and the Department of Biostatistics at the Harvard School of Public Health. Dr. Rosner's research activities currently include longitudinal data analysis, analysis of clustered continuous, binary and ordinal data, methods for the adjustment of regression models for measurement error, and modeling of cancer incidence data.
zlib_text: Chapter 10
  Mathematical Modelling of
  Tissue Invasion
  Mark A.J. Chaplain and Alexander R.A. Anderson
  The SIMBIOS Centre, Department of Mathematics, University of Dundee, Dundee
  (Scotland)
  10.1 Intr oduc tion
  10.2 T he Continuum Mathematic al Model
  10.3 N umer ic al Simulations
  10.3.1 O ne Dimens ional Res ults
  10.3.2 Two Dimens ional Numer ic al Simulations
  10.4 T he Dis c r ete Mathematic al Model
  10.4.1 C ell Pr oliferation
  10.4.2 Simulation Pr oc es s for t he Dis c r ete Model
  10.5 D is c r ete Model Simulation Res ults
  10.6 Model Ex tens ions
  10.7 D is c us s ion and Conc lus ions
  10.8 Appendix
  10.9 R efer enc es
  10.1
  Introduction
  The development of a primary solid tumour (e.g., a carcinoma) begins with
  a single normal cell becoming transformed as a result of mutations in certain key
  genes. This transformed cell differs from a normal one in several ways, one of the
  most notable being its escape from the body’s homeostatic mechanisms, leading to
  ©2003 CRC Press LLC
  
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