© 2019

Advanced Mathematical Methods in Biosciences and Applications

  • Faina Berezovskaya
  • Bourama Toni

Table of contents

  1. Front Matter
    Pages i-xii
  2. Faina Berezovskaya, Georgiy P. Karev
    Pages 1-25
  3. Alexander S. Bratus, Artem S. Novozhilov, Yuri S. Semenov
    Pages 27-51
  4. Roberto De Leo
    Pages 53-88
  5. Álvaro G. López, Jesús M. Seoane, Miguel A. F. Sanjuán
    Pages 159-205
  6. Yuri V. Tyutyunov, Anna D. Zagrebneva, Vasiliy N. Govorukhin, Lyudmila I. Titova
    Pages 221-239
  7. Back Matter
    Pages 263-264

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.


applied mathematics mathematical biology dynamical diseases medical imaging evolutionary game theory mathematical modeling in medicine medical imaging mathematical bio-physics dynamical systems bio-inspired models in engineering selection systems replicator equations power asymptotes population models population genetics global demography models predator-prey dynamics tumor-immune interactions traveling waves solutions

Editors and affiliations

  • Faina Berezovskaya
    • 1
  • Bourama Toni
    • 2
  1. 1.Department of MathematicsHoward UniversityWashington, DCUSA
  2. 2.Department of MathematicsHoward UniversityWashington, DCUSA

Bibliographic information

  • Book Title Advanced Mathematical Methods in Biosciences and Applications
  • Editors Faina Berezovskaya
    Bourama Toni
  • Series Title STEAM-H: Science, Technology, Engineering, Agriculture, Mathematics & Health
  • Series Abbreviated Title STEAM-H: Science, Technology, Engineering, Agriculture, Mathematics & Health
  • DOI
  • Copyright Information Springer Nature Switzerland AG 2019
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics Mathematics and Statistics (R0)
  • Hardcover ISBN 978-3-030-15714-2
  • Softcover ISBN 978-3-030-15717-3
  • eBook ISBN 978-3-030-15715-9
  • Series ISSN 2520-193X
  • Series E-ISSN 2520-1948
  • Edition Number 1
  • Number of Pages XII, 264
  • Number of Illustrations 45 b/w illustrations, 63 illustrations in colour
  • Topics Mathematical and Computational Biology
  • Buy this book on publisher's site