Mathematical Modeling the Life Sciences

The purpose of this unique textbook is to bridge the gap between the need for numerical solutions to modelling techniques through computer simulations to develop skill in employing sensitivity analysis to biological and life sciences applications.

The underpinning mathematics is minimalized. The focus is on the consequences, implementation, and application. Historical context motivates the models. An understanding of the earliest models provide insight into more complicated ones.

While the text avoids getting mired in the details of numerical analysis, it demonstrates how to use numerical methods and provide core codes that can be readily altered to fit a variety of situations.

Numerical scripts in both Python and MATLABTM are included. Python is compiled in Jupyter notebooks to aid classroom use. Additionally, codes are organized and available online.

One of the most important skills requiring the use of computer simulations is sensitivity analysis. Sensitivity analysis is increasingly used in biomathematics. There are numerous pitfalls to using sensitivity analysis and therefore a need for exposure to worked examples in order to successfully transfer their use from mathematicians to biologists.

The interconnections between mathematics and the life sciences have an extensive history. This book offers a new approach to using mathematics to model applications using computers, to employ numerical methods, and takes students a step further into the realm of sensitivity analysis. With some guidance and practice, the reader will have a new and incredibly powerful tool to use.