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Analysis of biological processes

Verbal description, schemes, and mathematical models

  • Book
  • © 2015

Overview

Authors:
  1. Alfonsas Juška

    1. Vilnius Gediminas Technical University, Vilnius, Lithuania

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  • Examples of schematic representation of the processes under analysis help the readers to identify the relevant points
  • The possibility to switch immediately from schemes to mathematics shows the readers the importance and role of the schemes
  • A step-by-step increasing in complexity of the problems prepares readers for solving any problem
  • Includes supplementary material: sn.pub/extras

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Table of contents (13 chapters)

  1. Front Matter

    Pages i-xiv
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  2. Introduction

    • Alfonsas Juška
    Pages 1-7

  3. Analysis, Modeling, Model Fitting and Verification

    1. Front Matter

      Pages 9-9
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    2. Analysis & Modeling

      • Alfonsas Juška
      Pages 11-22

    3. Model Fitting & Verification

      • Alfonsas Juška
      Pages 23-31

  4. The Processes

    1. Front Matter

      Pages 33-33
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    2. Transitions

      • Alfonsas Juška
      Pages 35-44

    3. Non-Controlled Ion Fluxes Between Cellular Compartments

      • Alfonsas Juška
      Pages 45-52

    4. Controlled Ion Fluxes Between Cellular Compartments

      • Alfonsas Juška
      Pages 53-58

    5. Growth and decline of microbial populations

      • Alfonsas Juška
      Pages 59-79

  6. Concluding

    1. Front Matter

      Pages 129-129
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    2. Analysis of the Progress of Enzyme-Catalyzed Reaction

      • Alfonsas Juška
      Pages 131-147

    3. Oscillations in Size of Interacting Biological Populations

      • Alfonsas Juška
      Pages 149-157

    4. General Discussion and Conclusions

      • Alfonsas Juška
      Pages 159-164

  7. Back Matter

    Pages 165-166
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Keywords

About this book

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.

Authors and Affiliations

  • Vilnius Gediminas Technical University, Vilnius, Lithuania

    Alfonsas Juška

Bibliographic Information

  • Book Title: Analysis of biological processes

  • Book Subtitle: Verbal description, schemes, and mathematical models

  • Authors: Alfonsas Juška

  • DOI: https://doi.org/10.1007/978-94-017-7373-7

  • Publisher: Springer Dordrecht

  • eBook Packages: Biomedical and Life Sciences, Biomedical and Life Sciences (R0)

  • Copyright Information: Springer Science+Business Media Dordrecht 2015

  • Hardcover ISBN: 978-94-017-7372-0Published: 16 December 2015

  • Softcover ISBN: 978-94-024-1338-0Published: 14 March 2019

  • eBook ISBN: 978-94-017-7373-7Published: 04 December 2015

  • Edition Number: 1

  • Number of Pages: XIV, 166

  • Number of Illustrations: 45 illustrations in colour

  • Topics: Biomedicine general, Bioinformatics, Applications of Mathematics, Computer Applications

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