A Stochastic Gompertz Model with Jumps for an Intermittent Treatment in Cancer Growth
To analyze the effect of a therapeutic program that provides intermittent suppression of cancer cells, we suppose that the Gompertz stochastic diffusion process is influenced by jumps that occur according to a probability distribution, producing instantaneous changes of the system state. In this context a jump represents an application of the therapy that leads the cancer mass to a return state randomly chosen. In particular, constant and exponential intermittence distribution are considered for different choices of the return state. We perform several numerical analyses to understand the behavior of the process for different choices of intermittence and return point distributions.
KeywordsReturn State Return Distribution Therapeutic Program Intermittent Treatment Return Point
Unable to display preview. Download preview PDF.
- 8.Wang, J., Tucker, L.A., Stavropoulos, J.: Correlation of tumor growth suppression and methionine aminopetidase-2 activity blockade using an orally active inhibitor. In: Matthews, B.W. (ed.) Global pharmaceutical Research and Development, Abbott Laboratories, University of Oregon, Eugene, OR (2007)Google Scholar