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Mathematical Concepts and Methods in Modern Biology cover

Mathematical Concepts and Methods in Modern Biology

Using Modern Discrete Models

by Raina Robeva

2nd Edition

Publisher: Academic Press

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Book Details

Print ISBN9780443296529
eText ISBN9780443296536
PublisherAcademic Press
Publishing Year2026
Edition2nd Edition
LanguageEnglish
Pages446

Mathematical Concepts and Methods in Modern Biology, 2nd Edition, is a textbook that presents discrete mathematical models designed for investigating complex biological systems. The volume examines key biological topics including gene regulatory networks, neuronal networks, plant population growth, and interacting populations. Each chapter pairs biological scenarios with specific analytical methods to establish quantitative modeling skills.

Mathematical methods covered throughout the chapters include discrete dynamical systems, deterministic and stochastic Boolean networks, ordinary differential equations, and projection matrices. Students examine discrete models alongside traditional differential equation frameworks to evaluate dynamic biological behavior. These techniques allow readers to analyze systemic responses across genetic and ecological scales.

Structured around project-based learning and practical problem-solving, the text supports direct practice in analyzing, predicting, and modulating biological systems. The content is formatted to assist upper-level students in related fields, practicing scientists, and health professionals who require formal discrete mathematical approaches in their work.

Table of Contents

  1. Chapter 1: Modeling gene regulation using Boolean network models

  2. Chapter 2: Bistability in bacterial genetic networks: A comparison of differential equations and Boolean network models

  3. Chapter 3: Inferring the topology of gene regulatory networks: An algebraic approach to reverse engineering

  4. Chapter 4: Stochastic Boolean Networks

  5. Chapter 5: Global dynamics emerging from local interactions: Agent-based modeling for the life sciences

  6. Chapter 6: Agent-based models and optimal control in biology: A discrete approach

  7. Chapter 7: Neuronal networks: A discrete model

  8. Chapter 8: Predicting population growth: Modeling with projection matrices

  9. Chapter 9: Identifying CpG islands: Sliding window and hidden Markov model approaches

  10. Chapter 10: Phylogenetic tree reconstruction: Geometric approaches

  11. Chapter 11: Tropical linear algebra and its applications to phylogenomics

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▶Research Sources (14)
  • Mathematical Concepts and Methods in Modern Biology
  • Mathematical Concepts and Methods in Modern Biology
  • Mathematical Concepts and Methods in Modern Biology
  • Mathematical Concepts and Methods in Modern Biology
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  • Mathematical Concepts and Methods in Modern Biology
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  • Mathematical Concepts and Methods in Modern Biology | ScienceDirect
  • Mathematical Concepts and Methods in Modern Biology
  • Mathematical Concepts and Methods in Modern Biology - Elsevier Shop
  • Mathematical Concepts and Methods in Modern Biology - Coopsco Lévis
  • Mathematical Concepts and Methods in Modern Biology - Browns Books