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 textbook Quantitative Biosciences: Dynamics Across Cells, Organisms, and Ecosystems by Joshua S. Weitz; which is in pre-publication form. Additionally, we will cover selected chapters from the following books:

  1. Mathematical Concepts and Methods in Modern Biology, edited by Raina Robeva and Terrel Hodge. The book is freely available with a ScienceDirect subcription (which UK has). It is very readable and has many worked out examples.
  2. Calculus for Biology and Medicine (4th edition), by C. Neuhauser and M. Roper. The book is published by Prentice Hall. It is very readable and has many worked out examples.
  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.
  2. Biocalculus: Calculus, Probability, and Statistics for the Life Sciences by James Stuart and Troy Day.
  3. Mathematics for the Life Sciences by Erin N. Bodine, Suzanne Lenhart & Louis J. Gross.
  4. Algebraic and Combinatorial Computational Biology edited by Raina Robeva and Matthew Macauley.
  5. 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.
  6. An Invitation to Biomathematics by Raina S. Robeva, James R. Kirkwood, Robin L. Davies, Leon Farhy, Boris P. Kovatchev, Martin Straume, Michael L Johnson.
  7. 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.
  8. Mathematical Models in Biology by L. Edelstein-Keshet.
  9. Modeling Differential Equations in Biology by C. H. Taubes.
  10. Population Ecology by J. H. Vandermeer and D. E. Goldberg.
  11. 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.