System Engineering Approach to Planning Anticancer Therapies

• Main Authors: Świerniak, Andrzej (Author), Kimmel, Marek (Author), Smieja, Jaroslaw (Author), Puszynski, Krzysztof (Author), Psiuk-Maksymowicz, Krzysztof (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Subjects: Mathematics.; Cancer research.; Drug resistance.; Cell cycle.; System theory.; Biomathematics.; Mathematical and Computational Biology.; Systems Theory, Control.; Cancer Research.; Cell Cycle Analysis.; Drug Resistance.

This book focuses on the analysis of cancer dynamics and the mathematically based synthesis of anticancer therapy. It summarizes the current state-of-the-art in this field and clarifies common misconceptions about mathematical modeling in cancer. Additionally, it encourages closer cooperation betwee...

Table of Contents:

• Introduction
• Cell Cycle as an Object of Control
• Therapy Optimization in Population Dynamics Models
• Structured Models and Their Use in Modeling Anticancer Therapies
• Signaling Pathways Dynamics and Cancer Treatment
• Model Identification and Parameter Estimation
• Appendixes: Stability and Controllability of Dynamical Systems
• Pontryagin Maximum Principle and Optimal Control
• Bifurcation Analysis
• Numerical Implementation of the Runge Kutta and Gillespie Methods.