Год выпуска: 2013 Автор: Kunchi Madhavi and Tirupathi Rao Padi Издательство: LAP Lambert Academic Publishing Страниц: 140 ISBN: 9783659443503
Описание
This book has discussed some stochastic models on cancer cell growth with Bi-variate stochastic processes. The pathophysiology of cancer growth was modeled with postulates of Poisson processes. In the first phase, the mathematical relations for various statistical measures like expected number, variances of both normal and mutant cells were derived for normal and mutant cells. The second phase deals with extension of proposed model to study the tumor behaviour during drug administration and during drug vacation as a part of cancer treatment with chemotherapy. Sensitivity analysis of the model is carried out with suitable simulated numerical data. Stochastic model for cancer growth as a result of spontaneous mutation and proliferation of cells during drug vacation and during chemotherapy were developed. The model is extended for two stage mutant cell growth. The third phase of the study has formulated two stochastic programming problems for optimal drug administration in drug...
