Stochastic Modeling & Optimization Methods: Studies on Cancer Growth and Control - Softcover

Madhavi, Kunchi; Padi, Tirupathi Rao

Softcover

ISBN 10: 3659443506 ISBN 13: 9783659443503

Verlag: LAP LAMBERT Academic Publishing, 2013

Inhaltsangabe

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

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Biografía del autor

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

Details zur Ausgabe

• Verlag: LAP LAMBERT Academic Publishing
• Erscheinungsdatum: 2013
• Sprache: Englisch
• ISBN 10: 3659443506
• ISBN 13: 9783659443503
• Einband: Tapa blanda
• Anzahl der Seiten: 140
• Kontakt zum Hersteller: Nicht verfügbar