Format:
Online-Ressource (XI, 409 p. 135 illus., 48 illus. in color, online resource)
ISBN:
9781461400523
Series Statement:
SpringerLink
Content:
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 imp
Note:
Description based upon print version of record
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Modeling Tumor Vasculature; Foreword; Contents; Contributors; Part I Cell Signaling and Molecular Aspects of Tumor Blood Vessel Formation; Chapter 1 Mathematical Modeling of the VEGF Receptor; 1 Introduction; 2 Biological Background and Model Formulation; 2.1 Biological Background; 2.2 Model Formulation; 2.3 Receptor Binding Model; 2.4 SH2 Binding to Dimerised Receptors; 2.5 Endocytosis of Surface Receptors; 3 Model Analysis: WKB Approximation; 3.1 Evolution Equations for the VEGFR Model; 4 Perfect and Imperfect Adaptation; 4.1 The Model
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4.2 Models of Dimer-Formation Rate and Receptor Synthesis4.3 Parameter Values; 5 Results: Anti-VEGF Therapy; 5.1 Receptor Dimerisation Induces Non-monotonic Response Functions; 5.2 The Dynamical Behaviour of the VEGFR Strongly Depends on Ligand Concentration; 5.3 Upregulation of VEGFR Expression Contributes to Resistance to Anti-VEGF Therapy; 6 Results: Perfect and Imperfect Adaptation; 6.1 Downregulation of Inactivated Receptor Degradation Yields Perfect Adaptation; 6.2 Upregulation of Receptor Synthesis Leads to Sustained Cellular Response
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6.3 Comparison to Other Models Incorporating Receptor Dimerisation7 Discussion; References; Chapter 2 Simulating Therapeutics Using Multiscale Models of the VEGF Receptor System in Cancer; 1 Angiogenesis as a Therapeutic Target in Cancer; 2 The VEGF Receptor System; 3 Multiscale Models of the VEGF Receptor System; 4 Targeting VEGF Ligands; 5 Targeting VEGF Receptors; 6 Lymphangiogenesis, Angiogenesis, and Targeting VEGFR3; 7 DLL4-NOTCH; 8 Conclusion and Future Studies; References
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Chapter 3 Linking Endothelial Cell Stimulation to Tumor Growth and Vascular Density: The VEGF - Bcl-2 - CXCL8 Pathway1 Introduction; 2 Tumor Cell Growth; 3 Vascular Endothelial Growth Factor; 3.1 VEGF Uptake by Cell-Surface Receptors; 3.2 Endothelial Cell Response to VEGF; 4 The Bcl-Family of Proteins; 4.1 Bcl Protein Interactions Within a Single Cell; 4.2 Apoptosis Regulation at the Population Level; 5 CXCL8; 5.1 Bcl-2-Mediated Up-regulation of CXCL8; 6 Endothelial Cell Growth Revisited; 7 Microvessel Formation and Degradation; 8 Receptor Conservation Laws; 9 Vascular Tumor Growth
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9.1 Effect of the Discrete Time Delay,10 Anti-CXCL8 Therapy; 11 Anti-Bcl-2 Therapy; 11.1 The Small Molecule Inhibitor BL193; 11.2 Therapy Simulations; 11.3 Sensitivity to Drug Design Parameters; 12 Conclusions; References; Chapter 4 Investigating the Role of Cross-Talk Between Chemical and Stromal Factors in Endothelial Cell Phenotype Determination; 1 Introduction; 1.1 Receptor Signaling During Tumor Vascularization; 1.2 Computational Approaches to Modeling Signal Transduction; 1.2.1 Rule-Based Modeling; 1.2.2 Continuum Models; 1.2.3 ABM; 1.2.4 Semantic Network Models
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1.2.5 Molecular Dynamics Models
Additional Edition:
ISBN 9781461400516
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 978-146-140-051-6
Language:
English
DOI:
10.1007/978-1-4614-0052-3
URL:
Volltext
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