Advanced Mathematical Methods in Biosciences and Applications 1st edition by Faina Berezovskaya 3030157156 9783030157159

Advanced Mathematical Methods in Biosciences and Applications 1st edition by Faina Berezovskaya – Ebook Instant Download/Delivery ISBN(s): 3030157156, 9783030157159

Product details:

• ISBN 10: 3030157156
• ISBN 13: 9783030157159
• Author: Faina

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.

Table of contents:

Arnold’s Weak Resonance Equation as the Model of Greek Ornamental Design

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

A Survey on Quasiperiodic Topology

Combining Bifurcation Analysis and Population Heterogeneity to Ask Meaningful Questions

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

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

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

Modelling Cancer Dynamics Using Cellular Automata

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

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

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

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