Mathematical Modeling of Biological Systems, Volume I (eBook)

Preface Part I. Cellular Biophysics Multiparticle Direct Simulation of Photosynthetic Electron Transport Processes / Ilya B. Kovalenko, Galina Yu. Riznichenko Selective Regulation of Protein Activity by Complex Ca2+ Oscillations: A Theoretical Study / Beate Knoke, Marko Marhl, Stefan Schuster Phase Separation in Eukaryotic Directional Sensing / Andrea Gamba, Antonio de Candia, Stefano Di Talia, Antonio Coniglio, Federico Bussolino, Guido Serini Protein Domains of GTPases on Membranes: Do They Rely on Turing's Mechanism? / Lutz Brusch, Perla Del Conte-Zerial, Yannis Kalaidzidis, Jochen Rink, Bianca Habermann, Marino Zerial, Andreas Deutsch In Vitro Tubulogenesis of Endothelial Cells: Analysis of a Bifurcation Process Controlled by a Mechanical Switch / Philippe Tracqui, Patrick Namy, Jacques Ohayon Nonexponential Time Distributions in Biocatalytic Systems: Mass Service Replacing Mass Action / Peter W. Kühl, Manfred Jobmann Part II. Regulatory Networks A Stochastic Model of Gene Regulation Using the Chemical Master Equation / Hilary S. Booth, Conrad J. Burden, Markus Hegland, Lucia Santoso Piecewise-Linear Models of Genetic Regulatory Networks: Analysis of the Carbon Starvation Response in Escherichia coli / Delphine Ropers, Hidde de Jong, Jean-Luc Gouzé, Michel Page, Dominique Schneider, Johannes Geiselmann Predicting Gene Expression from Combined Expression and Promoter Profile Similarity with Application to Missing Value Imputation / Laura L. Elo, Johannes Tuikkala, Olli S. Nevalainen, Tero Aittokallio Chemical Organizations in the Central Sugar Metabolism of Escherichia coli / Florian Centler, Pietro Speroni di Fenizio, Naoki Matsumaru, Peter Dittrich Transition Networks: A Unifying Theme for Molecular Simulation and Computer Science / FrankNoé, Jeremy C. Smith Part III. Development Pigmentation Pattern Formation in Butterfly Wings: Global Patterns on Fore- and Hindwing / Toshio Sekimura, Anotida Madzvamuse, Philip K. Maini Agent-Based Model for Developmental Pattern Formation with Multiscale Dynamics and Varying Cell Geometry / Scott Christley, Stuart A. Newman, Mark S. Alber Bacterial Swarming Driven by Rod Shape / Jörn Starruß, Fernando Peruani, Markus Bär, Andreas Deutsch Stability Properties of Some Tissue-Growth Models / John R. King, Susan J. Franks A Modified Backward Euler Scheme for Advection-Reaction-Diffusion Systems / Anotida Madzvamuse Part IV. Biomedical Applications Fractional Transport of Cancer Cells Due to Self-Entrapment by Fission / Alexander Iomin Mathematical Modelling of Vascular Tumour Growth and Implications for Therapy / Jasmina Panovska, Helen M. Byrne, Philip K. Maini A Stochastic Model of Glioblastoma Invasion / Andew M. Stein, David A. Vader, Leonard M. Sander, David A. Weitz Morphology of Tumor Vasculature: A Theoretical Model / Katalin Bartha, Heiko Rieger A Mathematical Model of the Cell Cycle and Its Circadian Control / Jean Clairambault, Philippe Michel, Benoît Perthame Bone Turnover Cycle Model with a Torus-Like Steady State / Adam Moroz, David Ian Wimpenny Modelling the Early Stages of Atherosclerosis / Michael J. Plank, Andrew Comerford, David J.N. Wall, Tom. David Magnetic Nanoparticles for In Vivo Applications: A Numerical Modeling Study / Carlos Trenado, Daniel J. Strauss Fluid Transport in Peritoneal Dialysis: A Mathematical Model and Numerical Solutions / Roman Cherniha, Vasyl' Dutka, Joanna Stachowska-Pietka, Jacek Waniewski Relevance of Intracellular Replication to the Evolution of Chagas' Disease / G.S. Sibona,