Mathematics and life sciences

Mathematics and life sciences

by Antoniouk, Alexandra V. Melnik, Roderick

Type Book
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The book provides a unique collection of in-depth mathematical, statistical, and modeling methods and techniques for life sciences, as well as their applications in a number of areas within life sciences. It also includes arange of new ideas that represent emerging frontiers in life sciences where the application of such quantitative methods and techniques is becoming increasingly important. The bookis aimed at researchers in academia, practitioners and graduate students who want to foster inte…

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Title Statements

  • Full title :Mathematics and life sciences / edited by Alexandra V. Antoniouk, Roderick V.N. Melnik.

Summary

The book provides a unique collection of in-depth mathematical, statistical, and modeling methods and techniques for life sciences, as well as their applications in a number of areas within life sciences. It also includes arange of new ideas that represent emerging frontiers in life sciences where the application of such quantitative methods and techniques is becoming increasingly important. The bookis aimed at researchers in academia, practitioners and graduate students who want to foster interdisciplinary collaborations required to meet the challenges at the interface of modern life sciences.

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Edition Statements

  • Publication Date:2013

Publication Statements

  • Publisher(s):De Gruyter
  • Place of Publication:Berlin
  • Language:eng
  • Publication Date:2013

The Physical Object

  • Description:1 online resource (xii, 316 pages) : : illustrations (some color)

Edition Identifiers

  • ISBN:3110288532, 9783110288537
  • oclc:ocn829370518
  • LC Classification:QH323.5
  • Dewey Decimal:570.1/51

Table of Contents

1 Introduction; 1.1 Scientific Frontiers at the Interface of Mathematics and Life Sciences; 1.1.1 Developing the Language of Science and Its Interdisciplinary Character; 1.1.2 Challenges at the Interface: Mathematics and Life Sciences; 1.1.3 What This Book Is About; 1.1.4 Concluding Remarks; 2 Mathematical and Statistical Modeling of Biological Systems; 2.1 Ensemble Modeling of Biological Systems; 2.1.1 Introduction; 2.1.2 Background; 2.1.3 Ensemble Model; 2.1.4 Computational Techniques; 2.1.5 Application to Viral Infection Dynamics; 2.1.6 Ensemble Models in Biology; 2.1.7 Conclusions.

3 Probabilistic Models for Nonlinear Processes and Biological Dynamics3.1 Nonlinear Lévy and Nonlinear Feller Processes: an Analytic Introduction; 3.1.1 Introduction; 3.1.2 Dual Propagators; 3.1.3 Perturbation Theory for Weak Propagators; 3.1.4 T-Products; 3.1.5 Nonlinear Propagators; 3.1.6 Linearized Evolution Around a Path of a Nonlinear Semigroup; 3.1.7 Sensitivity Analysis for Nonlinear Propagators; 3.1.8 Back to Nonlinear Markov Semigroups; 3.1.9 Concluding Remarks; 4 New Results in Mathematical Epidemiology and Modeling Dynamics of Infectious Diseases.

4.1 Formal Solutions of Epidemic Equati…

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