Mathematical Modeling of Biological Systems, Volume I: Cellular Biophysics, Regulatory Networks, Development, Biomedicine, and Data Analysis / Edition 1

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Overview

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.

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Editorial Reviews

From the Publisher
"[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
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Product Details

Table of Contents

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 Shastic 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 / Frank Noé, 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 Shastic 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, C.A. Condat, S. Cossy Isasi

A Finite Volume Spatial Discretisation for Taxis-Diffusion-Reaction Systems with Axi-Symmetry: Application to Fracture Healing / Alf Gerisch, Liesbet Geris

Information Content Toward a Neonatal Disease Severity Score System / Giulia Menconi, Marco Franciosi, Claudio Bonanno, Jacopo Bellazzini

Part V. Data Analysis and Model Validation

Statistical Analysis and Physical Modelling of Oligonucleotide Microarrays / Conrad J. Burden, Yvonne E. Pittelkow, Susan R. Wilson

Validation of Human Alternative Splice Forms Using the EASED Platform and Multiple Splice Site Discriminating Features / Ralf Bortfeldt, Alexander Herrmann, Heike Pospisil, Stefan Schuster

Gaussian Mixture Decomposition of Time-Course DNA Microarray Data / Joanna Polanska, Piotr Widlak, Joanna Rzeszowska-Wolny, Marek Kimmel, Andrzej Polanski

SVD Analysis of Gene Expression Data / Krzysztof Simek, Michal Jarzab

Index

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