Skip to main content

A Two Strain Spatiotemporal Mathematical Model of Cancer with Free Boundary Condition


Abstract In a 2004 paper, John Nagy raised the possibility of the existence of a hypertumor \emph{i.e.}, a focus of aggressively reproducing parenchyma cells that invade part or all of a tumor. His model used a system of nonlinear ordinary differential equations to find a suitable set of conditions for which these hypertumors exist. Here that model is expanded by transforming it into a system of nonlinear partial differential equations with diffusion, advection, and a free boundary condition to represent a radially symmetric tumor growth. Two strains of parenchymal cells are incorporated; one forming almost the entirety of the tumor while the much more aggressive strain

appears in a smaller region inside of the tumor. Simulations show that if the a... (more)
Created Date 2014
Contributor Alvarez, Roberto (Author) / Milner, Fabio A (Advisor) / Nagy, John D (Committee member) / Kuang, Yang (Committee member) / Thieme, Horst (Committee member) / Mahalov, Alex (Committee member) / Smith, Hal (Committee member) / Arizona State University (Publisher)
Subject Applied mathematics / Cancer / Competition / Free Boundary / Hypertumor / Math Biology / Tumor
Type Doctoral Dissertation
Extent 50 pages
Language English
Copyright
Reuse Permissions All Rights Reserved
Note Doctoral Dissertation Applied Mathematics 2014
Collaborating Institutions Graduate College / ASU Library
Additional Formats MODS / OAI Dublin Core / RIS


  Full Text
3.5 MB application/pdf
Download Count: 3384

Description Dissertation/Thesis