Advances in Differential Equations and Control Processes
Volume 13, Issue 2, Pages 67 - 108
(May 2014)
|
|
THE EXISTENCE, PATHWISE UNIQUENESS AND NUMERICAL APPROXIMATIONS FOR A STOCHASTIC MODEL OF TUMOR GROWTH DRIVEN BY A COLORED NOISE
Llambrini Sota and Fejzi Kolaneci
|
Abstract: A stochastic model is developed to describe the growth of a tumor for dispersed cells regime. The model is a stochastic partial differential equation in three dimensional spaces with a multiplicative colored noise term. The main feature of the model is that it takes into account independent behavior of tumor cells as well as random interactions between tumor cells, immune system cells and anticancer drugs. The existence of stochastically weak solutions, pathwise uniqueness and a convergence result is established. Some biomedical applications are suggested. |
Keywords and phrases: tumor growth, dispersed cells regime, stochastic partial differential equation, colored noise, weak solution, pathwise uniqueness, convergence of approximated solutions. |
|
Number of Downloads: 287 | Number of Views: 776 |
|