Mathematical Modeling of Biological Systems, Volume I: Cellular Biophysics, Regulatory Networks, Development, Biomedicine, and Data Analysis

ISBN-13: 9780817645571 / Angielski / Twarda / 2007 / 382 str.

Andreas Deutsch;Lutz Brusch;Helen Byrne

Opis

This edited volume contains a selection of chapters that are an outgrowth of the - ropean Conference on Mathematical and Theoretical Biology (ECMTB05, Dresden, Germany, July 2005). The peer-reviewed contributions show that mathematical and computational approaches are absolutely essential for solving central problems in the life sciences, ranging from the organizational level of individual cells to the dynamics of whole populations. The contributions indicate that theoretical and mathematical biology is a diverse and interdisciplinary ?eld, ranging from experimental research linked to mathema- cal modeling to the development of more abstract mathematical frameworks in which observations about the real world can be interpreted, and with which new hypotheses for testing can be generated. Today, much attention is also paid to the development of ef?cient algorithms for complex computation and visualisation, notably in molecular biology and genetics. The ?eld of theoretical and mathematical biology and medicine has profound connections to many current problems of great relevance to society. The medical, industrial, and social interests in its development are in fact indisputable.

Recenzje

"[This book] has thirty-two papers that address topics in five broad areas: cellular biophysics, regulatory networks, development, biomedical applications and data analysis...A general theme is the progression in each application area from experimental research to mathematical modeling, from there to construction of a more abstract mathematical framework and thence to new biological hypotheses. Desirable tools are efficient algorithms for complex computations and visualization, especially in the areas of molecular biology and genetics...This is a volume directed at specialists, but it is possible to find one's way to interesting results without too much specialized knowledge. The range of applications is enormous, and this is just Volume 1. Topics addressed in Volume 2 include epidemiology, immunology, evolution and ecology."   -MAA Reviews

Spis treści

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,

Blurb

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. Highlighted throughout both works are mathematical and computational approaches to examine central problems in the life sciences, ranging from the organizational principles of individual cells to the dynamics of large populations.

Volume I covers a number of areas, including:

* Cellular Biophysics

* Regulatory Networks

* Developmental Biology

* Biomedical Applications

* Data Analysis and Model Validation

Volume II examines a diverse range of subjects, including:

* Epidemiology

* Evolution and Ecology

* Immunology

* Neural Systems and the Brain

* Innovative Mathematical Methods and Education

Both volumes will be excellent reference texts 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.