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A three-dimensional steady-state tumor system |
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| Authors: | Wenrui Hao Jonathan D Hauenstein Bei Hu Andrew J Sommese |
| Institution: | a Department of Applied and Computational Mathematics and Statistics, University of Notre Dame, Notre Dame, IN 46556, United States b Department of Mathematics, Mailstop 3368, Texas A&M University, College Station, TX 77843, United States |
| Abstract: | The growth of tumors can be modeled as a free boundary problem involving partial differential equations. We consider one such model and compute steady-state solutions for this model. These solutions include radially symmetric solutions where the free boundary is a sphere and nonradially symmetric solutions. Linear and nonlinear stability for these solutions are determined numerically. |
| Keywords: | Free boundary problems Stationary solution Stability Bifurcation Discretization Condition number Bertini Tumor growth |
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