Mathematical Modeling of Biological Systems, Volume I

Cellular Biophysics, Regulatory Networks, Development, Biomedicine, and Data Analysis

ISBN: 978-0-8176-4557-1 (Print) 978-0-8176-4558-8 (Online)

Table of contents (32 chapters)

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  1. Front Matter

    Pages I-XVIII

  2. Cellular Biophysics

    1. Front Matter

      Pages 1-1

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      Pages 3-9

      Multiparticle Direct Simulation of Photosynthetic Electron Transport Processes

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      Pages 11-22

      Selective Regulation of Protein Activity by Complex Ca2+ Oscillations: A Theoretical Study

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      Pages 23-32

      Phase Separation in Eukaryotic Directional Sensing

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      Pages 33-46

      Protein Domains of GTPases on Membranes: Do They Rely on Turing’s Mechanism?

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      Pages 47-57

      In Vitro Tubulogenesis of Endothelial Cells: Analysis of a Bifurcation Process Controlled by a Mechanical Switch

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      Pages 59-67

      Nonexponential Time Distributions in Biocatalytic Systems: Mass Service Replacing Mass Action

  3. Regulatory Networks

    1. Front Matter

      Pages 69-69

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      Pages 71-81

      A Stochastic Model of Gene Regulation Using the Chemical Master Equation

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      Pages 83-95

      Piecewise-Linear Models of Genetic Regulatory Networks: Analysis of the Carbon Starvation Response in Escherichia coli

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      Pages 97-104

      Predicting Gene Expression from Combined Expression and Promoter Profile Similarity with Application to Missing Value Imputation

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      Pages 105-119

      Chemical Organizations in the Central Sugar Metabolism of Escherichia coli

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      Pages 121-137

      Transition Networks: A Unifying Theme for Molecular Simulation and Computer Science

  4. Development

    1. Front Matter

      Pages 139-139

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      Pages 142-148

      Pigmentation Pattern Formation in Butterfly Wings: Global Patterns on Fore- and Hindwing

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      Pages 149-161

      Agent-Based Model for Developmental Pattern Formation with Multiscale Dynamics and Varying Cell Geometry

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      Pages 163-174

      Bacterial Swarming Driven by Rod Shape

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      Pages 175-182

      Stability Properties of Some Tissue-Growth Models

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      Pages 183-189

      A Modified Backward Euler Scheme for Advection-Reaction-Diffusion Systems

  5. Biomedical Applications

    1. Front Matter

      Pages 191-191

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      Pages 193-203

      Fractional Transport of Cancer Cells Due to Self-Entrapment by Fission

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      Pages 205-216

      Mathematical Modelling of Vascular Tumour Growth and Implications for Therapy

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      Pages 217-224

      A Stochastic Model of Glioblastoma Invasion

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      Pages 226-238

      Morphology of Tumor Vasculature A Theoretical Model

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