Mathematical Modelling of Biosystems

Alain Goriely, Mark Robertson-Tessi, Michael Tabor (auth.), Prof. Rubem P. Mondaini, Prof. Panos M. Pardalos (eds.)3540767835, 978-3-540-76783-1, 978-3-540-76784-8

This volume is an interdisciplinary book which introduces, in a very readable way, state-of-the-art research in the fundamental topics of mathematical modelling of Biosystems. These topics include the study of Biological Growth and its mechanisms, the coupling of pattern to form via theorems of Differential Geometry, the human immunodeficiency virus dynamics, and the inverse folding problem and the possibility of analysing true protein backbone flexibility. The Biclustering techniques for the organization of microarray data are covered, along with the analytical approach to the modelling of biomolecular structure via Steiner trees, the action of biocides on resistance mechanisms of mutated and phenotypic bacteria strains, and a description of the fundamental processes for the distribution and abundances of species towards a unified theory of Ecology. A special introduction to Protein Physics aims to explain the all-or-none first order phase transitions from native to denatured states.

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Table of contents :
Front Matter….Pages I-XII
Elastic Growth Models….Pages 1-44
A Model of Pattern Coupled to Form in Metazoans….Pages 45-86
Mathematical Modeling of HIV-1 Infection and Drug Therapy….Pages 87-131
Overcoming the Key Challenges in De Novo Protein Design: Enhancing Computational Efficiency and Incorporating True Backbone Flexibility….Pages 133-183
The Improved Heuristic for Consistent Biclustering Problems….Pages 185-198
The Steiner Tree Problem and Its Application to the Modelling of Biomolecular Structures….Pages 199-219
Phenotypic Switching and Mutation in the Presence of a Biocide: No Replication of Phenotypic Variant….Pages 221-242
From Spatial Pattern in the Distribution and Abundance of Species to a Unified Theory of Ecology: The Role of Maximum Entropy Methods….Pages 243-272
Protein Structure and Its Folding Rate….Pages 273-301
Back Matter….Pages 303-305