Part I: Cell Signaling and Molecular Aspects of Tumor Blood Vessel Formation Chapter 1: A stochastic model of the vascular endothelial growth factor (VEGF) receptor: Implications for cancer therapy - Tomas Alarcon Chapter 2: Simulating therapeutics using multiscale models of the VEGF receptor system in cancer - Feilim Mac Gabhann, Marianne O. Stefanini, Aleksander S. Popel Chapter 3: Linking EC Stimulation to Tumor Growth and Vascular Density: The VEGF-BCL2-CXCL8 pathway - Harsh Jain and Trachette Jackson Chapter 4: Investigating the Role of Cross-Talk Between Chemical and Stromal Factors in Endothelial Cell Phenotype Determination - Amy Bauer and Thimo Rolf Part II: Angiogenesis Chapter 5: A Hybrid Discrete-Continuum Model of Tumor Induced Angiogenesis- Alexander Anderson, Mark Chaplain and Steven McDougal Chapter 6: Cell-based Models of Angiogenesis - Yi Jiang, Amy L. Bauer, Trachette Jackson Chapter 7: A cell-based model of endothelial cell migration, proliferation, and maturation in corneal angiogenesis - Trachette Jackson and Xiaoming Zheng Chapter 8: Blood flow and tumour-induced angiogenesis: Dynamically adapting vascular networks - Mark A J Chaplain, Steven R McDougall and Alexander R A Anderson Chapter 9: Modeling structural and functional adaptation of tumor vessel networks during anti-angiogenic therapy - Lance L Munn, Walid Kamoun, Michael Dupin and James Alex Tyrrell Part III: Whole Organ Modeling of Tumor Growth and Vasculature Chapter 10: Effect of vascularization on glioma tumor growth - H. Hatzikirou, A. Chauviere, J. Lowengrub, J. De Groot, Vittorio Cristini Chapter 11: Particle Simulations of Growth: Application to Tumorigenesis - Michael Bergdorf, Florian Milde and Petros Koumoutsakos Chapter 12: Particle Simulations of Growth: Application to Angiogenesis - Florian Milde, Michael Bergdorf and Petros Koumoutsakos Chapter 13: Blood vessel network remodeling during tumor growth - M. Welter and H. Rieger Chapter 14: Blood perfusion in 3D solid tumour with "normalized" microvasculature - Jie Wu, Quan Long, and Shi-xiong Xu
To profoundly understand biology and harness its intricacies for human benefit and the mitigation of human harm requires cross-disciplinary approaches that incorporate sophisticated computational and mathematical modeling techniques. These integrative strategies are essential to achieve rapid and significant progress in issues, in health and disease, which span molecular, cellular and tissue levels. The use of mathematical models to describe various aspects of tumor growth has a very long history, dating back over six decades. Recently, however, experimental and computational advances have improved our in the understanding of how processes act at multiple scales to mediate the development of tumor vasculature and drive the advancement of cancer. This book will showcase the development and utilization of new computational and mathematical approaches to address multiscale challenges associated with tumor vascular development.
In Part I: Cell Signaling and Molecular Aspects of Tumor Blood Vessel Formation, it will be come clear that mathematical modeling can help to biochemically and biomechanically phenotype one of the most important cell types involved in cancer progression: vascular endothelial cells. When subverted by the tumor modulated environment, vascular endothelial cells form a new vascular supply capable of nourishing and translocating cancer cells to other tissues. The models in Part I illustrate the importance of quantitative approaches for gaining a deeper understanding of how normal and abnormal aspects of signal integration culminate in the cell proliferation, migration, and survival decisions that result in pathological tumor angiogenesis.
The focus of Part II is the angiogenesis cascade and all of its complexities. Successful angiogenesis is mediated by the intricate interplay between biochemical and biomechanical mechanisms, includi
Provides a variety of interesting and innovative mathematical modeling approaches
Discusses the development and effects of tumor vasculature using mathematical models
Illustrates the innovation and new trend of mathematical models in cancer research