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2009, 2009(Special): 771-779. doi: 10.3934/proc.2009.2009.771

A simplified mathematical model of solid tumor regrowth with therapies

Jianjun Paul Tian 1, , Kendall Stone 2, and  Thomas John Wallin 2,

1. 

Mathematics Department, College of William and Mary, Williamsburg, VA 23187, United States
2. 

Mathematics Department, The College of William and Mary, United States, United States

Received  July 2008 Revised  June 2009 Published  September 2009

A simplified mathematical model of solid tumor regrowth is analyzed. When the model system is disturbed by radiation and chemotherapy, which are given by discontinuous functions, the system loses its smoothness. For the purpose of comparison and verification of therapy efficacy, a weak solution is constructed. Some suggestions about effective combination of treatments are also given.
Keywords: free boundary problem, solid tumor regrowth, Mathematical model.
Mathematics Subject Classification: Primary: 35A.
Citation: Jianjun Paul Tian, Kendall Stone, Thomas John Wallin. A simplified mathematical model of solid tumor regrowth with therapies. Conference Publications, 2009, 2009 (Special) : 771-779. doi: 10.3934/proc.2009.2009.771
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