Textbook

 

There is no official textbook for this course. However below is a list of references that can be used for selected topics.
We will cover selected chapters from the following books:

  1. An Introduction to Systems Biology: Design Principles of Biological Circuits (2nd edition), by Uri Alon. This book is an introduction to concepts and methods used in systems biology based on mathematical principles. It is very readable with many examples and exercises.
  2. Algebraic and Combinatorial Computational Biology, edited by Raina Robeva and Matthew Macauley. This book is presented in a modular format, each topic introduces the biological foundations of the field, covers specialized mathematical theory, and concludes by highlighting connections with ongoing research, particularly open questions. It is very readable with lots of examples and exercises.
  3. Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering (2nd edition), by Steven H. Strogatz. This book is an introduction to nonlinear dynamics and chaos. It is very readable with lots of examples and exercises.

If you are interested in learning more and further your grasp of Mathematical Biology, the following are some additional noteworthy resources:

  1. Algebraic and Discrete Mathematical Methods for Modern Biology edited by Raina Robeva.This book is presented in a modular format, each chapter begins with a question from modern biology, followed by the description of certain mathematical methods and theory appropriate in the search of answers
  2. Mathematical Concepts and Methods in Modern Biology (1rd edition), edited by R. Robeva and T. Hodge. The book is freely available with a ScienceDirect subcription (which UK has). It is very readable and has many worked out examples.
  3. Biological Feedback (book, pdf version), by Rene Thomas and Thomas D'Ari, 1990 (updated 2006).
    This is an excellent book to learn about discrete modeling at the molecular level.
  4. Mathematical Biology: An Introduction (3rd edition), by J. D. Murray. This book is an introduction to mathematical modeling with differential equations with applications in biology. It is very readable with lots of examples and exercises.
  5. Introduction to Mathematics for Life Scientists by E. Batschelet.
    This book is a more serious/demanding textbook and an excellent resource, despite the fact it has been written in 1972. The choice of topics, sequence of presentation, level of detail, use of examples, and clarity and elegance of exposition are all outstanding.
  6. Mathematical Models in Biology by L. Edelstein-Keshet.
  7. Modeling Differential Equations in Biology by C. H. Taubes.
  8. Population Ecology by J. H. Vandermeer and D. E. Goldberg.
  9. Biocalculus: Calculus, Probability, and Statistics for the Life Sciences by James Stuart and Troy Day.
  10. Introduction to Probability (second edition), American Mathematical Society by Charles M. Grinstead and J. Laurie Snell.