Stochastic Modeling & Optimization Methods

Kunchi Madhavi

ISBN 10: 3659443506 / ISBN 13: 9783659443503

Published by LAP LAMBERT Academic Publishing Aug 2013, 2013

About this Item

This item is printed on demand - Print on Demand Titel. Neuware -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 presence and absence, for calculating the drug effectiveness during chemotherapy. Health care industry may make use of these studies for optimal management of diseaseBooks on Demand GmbH, Überseering 33, 22297 Hamburg 140 pp. Englisch.

Seller Inventory # 9783659443503

Bibliographic Details

• Title: Stochastic Modeling & Optimization Methods
• Publisher: LAP LAMBERT Academic Publishing Aug 2013
• Publication Date: 2013
• Language: English
• ISBN 10: 3659443506
• ISBN 13: 9783659443503
• Binding: Taschenbuch
• Condition: Neu

About this title

Synopsis

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 presence and absence, for calculating the drug effectiveness during chemotherapy. Health care industry may make use of these studies for optimal management of disease

About the Author

Author:Dr Madhavi Kunchi,Lecturer, Mathematics, Govt.Degree College, Kuppam,Chittore,A.P., India. Research areas are Mathematical programming, Differential EquationsCo-Author:Dr. Tirupathi Rao, Padi. Associate Professor, Dept. of Statistics, Pondicherry University, Puducherry, India; Research areas are Stochastic Modeling, Operations Research