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Advanced Mathematical Methods in Biosciences and Applications

  • Book
  • © 2019

Overview

Editors:
  1. Faina Berezovskaya

    1. Department of Mathematics, Howard University, Washington, DC, USA

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    You can also search for this editor in PubMed   Google Scholar

  2. Bourama Toni

    1. Department of Mathematics, Howard University, Washington, DC, USA

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    You can also search for this editor in PubMed   Google Scholar

  • Features contributions from experts in mathematical biology and biomedical research
  • Contains a variety of topics, including quasiperiodic topology, models for Darwinian selection, polyvariant ontogeny in plants, modelling cancer dynamics, and numerical study of bifurcations occurring in a predator-prey model
  • Suitable for undergraduate and graduate students interested in this area of research

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Table of contents (11 chapters)

  1. Front Matter

    Pages i-xii
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  2. Arnold’s Weak Resonance Equation as the Model of Greek Ornamental Design

    • Faina Berezovskaya, Georgiy P. Karev
    Pages 1-25

  3. Rigorous Mathematical Analysis of the Quasispecies Model: From Manfred Eigen to the Recent Developments

    • Alexander S. Bratus, Artem S. Novozhilov, Yuri S. Semenov
    Pages 27-51

  4. A Survey on Quasiperiodic Topology

    • Roberto De Leo
    Pages 53-88

  5. Combining Bifurcation Analysis and Population Heterogeneity to Ask Meaningful Questions

    • Irina Kareva
    Pages 89-110

  6. Polyvariant Ontogeny in Plants: When the Second Eigenvalue Plays a Primary Role

    • Dmitrii O. Logofet
    Pages 111-130

  7. Recurrence as a Basis for the Assessment of Predictability of the Irregular Population Dynamics

    • Alexander B. Medvinsky
    Pages 131-145

  8. Total Analysis of Population Time Series: Estimation of Model Parameters and Identification of Population Dynamics Types

    • Lev V. Nedorezov
    Pages 147-157

  9. Modelling Cancer Dynamics Using Cellular Automata

    • Álvaro G. López, Jesús M. Seoane, Miguel A. F. Sanjuán
    Pages 159-205

  10. Analytical Solutions for Traveling Pulses and Wave Trains in Neural Models: Excitable and Oscillatory Regimes

    • Evgeny P. Zemskov, Mikhail A. Tsyganov
    Pages 207-219

  11. Numerical Study of Bifurcations Occurring at Fast Timescale in a Predator–Prey Model with Inertial Prey-Taxis

    • Yuri V. Tyutyunov, Anna D. Zagrebneva, Vasiliy N. Govorukhin, Lyudmila I. Titova
    Pages 221-239

  12. Within Host Dynamical Immune Response to Co-infection with Malaria and Tuberculosis

    • Edme Soho, Stephen Wirkus
    Pages 241-261

  13. Back Matter

    Pages 263-264
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Keywords

About this book

Featuring contributions from experts in mathematical biology and biomedical research, this edited volume covers a diverse set of topics on mathematical methods and applications in the biosciences. Topics focus on advanced mathematical methods, with chapters on the mathematical analysis of the quasispecies model, Arnold’s weak resonance equation, bifurcation analysis, and the Tonnelier-Gerstner model. Special emphasis is placed on applications such as natural selection, population heterogeneity, polyvariant ontogeny in plants, cancer dynamics, and analytical solutions for traveling pulses and wave trains in neural models. A survey on quasiperiodic topology is also presented in this book.  


Carefully peer-reviewed, this volume is suitable for students interested in interdisciplinary research. Researchers in applied mathematics and the biosciences will find this book an important resource on the latest developments in the field.  In keeping with the STEAM-H series, the editors hope to inspire interdisciplinary understanding and collaboration.


Editors and Affiliations

  • Department of Mathematics, Howard University, Washington, DC, USA

    Faina Berezovskaya, Bourama Toni

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