Mathematical Modeling of Biological Systems, Volume I

Volume I of this two-volume, interdisciplinary work is a unified presentation of a broad range of state-of-the-art topics in the rapidly growing field of mathematical modeling in the biological sciences. The chapters are thematically organized into the following main areas: cellular biophysics, regulatory networks, developmental biology, biomedical applications, data analysis and model validation.

The work will be an excellent reference text for a broad audience of researchers, practitioners, and advanced students in this rapidly growing field at the intersection of applied mathematics, experimental biology and medicine, computational biology, biochemistry, computer science, and physics.

Unified presentation of mathematical modeling in the biological sciences Presents state-of-the-art mathematical modeling and simulation techniques needed to examine central problems in the life sciences Covers a diverse range of subjects having real-world applications to epidemiology, evolution, ecology, immunology, and neurology For a broad audience of researchers, practitioners, and advanced students in applied mathematics, experimental biology and medicine, computational biology, biochemistry, computer science, and physics

Contenu
Cellular Biophysics.- Multiparticle Direct Simulation of Photosynthetic Electron Transport Processes.- Selective Regulation of Protein Activity by Complex Ca2+ Oscillations: A Theoretical Study.- Phase Separation in Eukaryotic Directional Sensing.- Protein Domains of GTPases on Membranes: Do They Rely on Turing's Mechanism?.- In Vitro Tubulogenesis of Endothelial Cells: Analysis of a Bifurcation Process Controlled by a Mechanical Switch.- Nonexponential Time Distributions in Biocatalytic Systems: Mass Service Replacing Mass Action.- Regulatory Networks.- A Stochastic Model of Gene Regulation Using the Chemical Master Equation.- Piecewise-Linear Models of Genetic Regulatory Networks: Analysis of the Carbon Starvation Response in Escherichia coli.- Predicting Gene Expression from Combined Expression and Promoter Profile Similarity with Application to Missing Value Imputation.- Chemical Organizations in the Central Sugar Metabolism of Escherichia coli.- Transition Networks: A Unifying Theme for Molecular Simulation and Computer Science.- Development.- Pigmentation Pattern Formation in Butterfly Wings: Global Patterns on Fore- and Hindwing.- Agent-Based Model for Developmental Pattern Formation with Multiscale Dynamics and Varying Cell Geometry.- Bacterial Swarming Driven by Rod Shape.- Stability Properties of Some Tissue-Growth Models.- A Modified Backward Euler Scheme for Advection-Reaction-Diffusion Systems.- Biomedical Applications.- Fractional Transport of Cancer Cells Due to Self-Entrapment by Fission.- Mathematical Modelling of Vascular Tumour Growth and Implications for Therapy.- A Stochastic Model of Glioblastoma Invasion.- Morphology of Tumor Vasculature A Theoretical Model.- A Mathematical Model of the Cell Cycle and Its Circadian Control.- Bone Turnover CycleModel with a Torus-Like Steady State.- Modelling the Early Stages of Atherosclerosis.- Magnetic Nanoparticles for In Vivo Applications: A Numerical Modeling Study.- Fluid Transport in Peritoneal Dialysis: A Mathematical Model and Numerical Solutions.- Relevance of Intracellular Replication to the Evolution of Chagas Disease.- A Finite Volume Spatial Discretisation for Taxis-Diffusion-Reaction Systems with Axi-Symmetry: Application to Fracture Healing.- Information Content Toward a Neonatal Disease Severity Score System.- Data Analysis and Model Validation.- Statistical Analysis and Physical Modelling of Oligonucleotide Microarrays.- Validation of Human Alternative Splice Forms Using the EASED Platform and Multiple Splice Site Discriminating Features.- Gaussian Mixture Decomposition of Time-Course DNA Microarray Data.- SVD Analysis of Gene Expression Data.