The main concern of the book is analysis of biological processes, the final stage of which is mathematical modeling, i.e. quantitative presentation of the processes in rigorous mathematical terms. It is designated for non-mathematicians. Mathematical models can be compared with experimental data thus verifying the validity of the models and finally of the initial assumptions and verbal descriptions of the processes. The models (usually in the form of mathematical equations) are achieved painlessly via the schemes summarising verbal description of what is known concerning the processes. To solve the equations computer software is used. The step-by-step analysis leads to quite sophisticated models some of them being original. The book helps the reader to develop more general approach to the problems. It may be useful for experienced readers as well.
Author(s): Alfonsas Juška (auth.)
Edition: 1
Publisher: Springer Netherlands
Year: 2015
Language: English
Pages: XIV, 166
Tags: Biomedicine general; Bioinformatics; Applications of Mathematics; Computer Applications
Front Matter....Pages i-xiv
Introduction....Pages 1-7
Front Matter....Pages 9-9
Analysis & Modeling....Pages 11-22
Model Fitting & Verification....Pages 23-31
Front Matter....Pages 33-33
Transitions....Pages 35-44
Non-Controlled Ion Fluxes Between Cellular Compartments....Pages 45-52
Controlled Ion Fluxes Between Cellular Compartments....Pages 53-58
Growth and decline of microbial populations....Pages 59-79
Front Matter....Pages 81-81
(Bio)Chemical Kinetics....Pages 83-93
Non-Classical (Bio)Chemical Kinetics not Requiring Multitude of Structural Ligand-Binding Sites....Pages 95-109
The Deviations from Classical Kinetics Determined by Multitude of Binding Sites....Pages 111-128
Front Matter....Pages 129-129
Analysis of the Progress of Enzyme-Catalyzed Reaction....Pages 131-147
Oscillations in Size of Interacting Biological Populations....Pages 149-157
General Discussion and Conclusions....Pages 159-164
Back Matter....Pages 165-166
