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Mathematical Concepts and Methods in Modern Biology: Using Modern Discrete Models

Editat de Raina Robeva
en Limba Engleză Hardback – aug 2025
Mathematical Concepts and Methods in Modern Biology: Using Modern Discrete Models, Second Edition offers a completely updated quantitative framework for analysing, predicting, and modulating the behaviour of complex biological systems. In 10 updated and 2 completely new chapters the book presents important mathematical concepts, methods and tools in the context of essential questions raised in modern biology. Designed around the principles of project-based learning and problem-solving, the book considers biological topics such as neuronal networks, plant population growth, metabolic pathways, and phylogenetic tree reconstruction. New mathematical modelling tools brought to bear on these topics include Boolean and ordinary differential equations, projection matrices, agent-based modelling and several algebraic approaches. Heavy computation in some of the examples is eased by the use of freely available open-source software. All computer codes and software manuals are updated to reflect the current status in the field. This book is a valuable resource for health professionals, scientists and researchers, students in algebraic biology, mathematical and computational biology, and all those who wish to broaden their knowledge in the allied field.

  • Provides fully updated and expanded content, examples, exercises, and projects on modern discrete mathematics and algebraic statistics
  • Includes updated computer codes and software manuals to reflect the current state of the field
  • Prepares readers, through examples, exercises, and carefully selected projects, to transition successfully to engaging in student research and reading the research literature
  • Introduces discrete and algebraic methods in the context of important questions from modern biology at a level requiring minimal mathematical background
  • Emphasizes the use of specialized software as a necessary element of the modern biology skills set by integrating freely available applications and mainstream proprietary software in the presentation
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Specificații

ISBN-13: 9780443296529
ISBN-10: 0443296529
Pagini: 370
Dimensiuni: 191 x 235 mm
Ediția:2
Editura: ELSEVIER SCIENCE

Cuprins

1. Modeling Gene Regulation Using Boolean Network Models
2. Bistability in Bacterial Genetic Networks
3. Inferring the Topology of Gene Regulatory Networks: An Algebraic Approach to Reverse Engineering
4. Stochastic Boolean Networks b including Probabilistic Boolean networks, perturbed Boolean networks, and probabilistic edge operators.
5. Global Dynamics Emerging from Local Interactions: Agent-Based Modeling for the Life Sciences
6. Agent-Based Models and Optimal Control in Biology: A Discrete Approach
7. Neuronal Networks: A Discrete Model by (TBD) Proposed Updates: P
8. Predicting Population Growth: Modeling with Projection Matrices b
9. Metabolic Pathway Analysis: A Linear Algebra Approach by (TBD)
10. Identifying CpG Islands Using Hidden Markov Models
11. Tropical Linear Algebra Approaches in Phylogenetics
12. Phylogenetic Tree Reconstruction: Geometric Approaches Pl