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Nonlinear Modeling and Simulation of Tumor Growth 1,4,5 1,2 3 Vittorio Cristini, Hermann B. Frieboes, Xiaongrong Li, John S. 2,3 1 1,4 2 Lowengrub, Paul Macklin, Sandeep Sanga, Steven M. Wise, and Xiaoming Zheng School of Health Information Sciences, University of Texas Health Science Center at Houston, TX 77030, USA vittorio.cristini@uth.tmc.edu Department of Mathematics, University of California, Irvine, CA 92697, USA lowengrb@math.uci.edu Department of Biomedical Engineering, University of California, Irvine, Department of Biomedical Engineering, University of Texas, Austin, TX 78712, USA MD Anderson Cancer Center, University of Texas, Houston, TX 77030, USA 6.1 Introduction The effects of the interaction between cellular- and tumor-scale processes on cancer progression and treatment response remain poorly understood (for in- stance, the crucial role of the microenvironment in cancer growth and invasion [94, 64, 183, 182, 159, 109, 65, 165]). Three-dimensional tissue morphology, cell phenotype, and molecular phenomena are intricately coupled; they influence cancer invasion potential by controlling tumor-cell proliferation and migration [77, 186, 197]. Hypoxia [87, 209, 185, 69, 90], acidosis [90, 198, 95], and associ- ated diffusion gradients, caused by heterogeneous delivery of oxygen and nutri- ents and removal of metabolites [103, 102] due to highly disorganized microvas- culature [91, 105] and
Published: Aug 21, 2008
Keywords: Necrotic Core; Antiangiogenic Therapy; Noncancerous Tissue; Endothelial Cell Density; Tumor Morphology
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