Mathematics and Life Sciences

ISBN-13: 9783110273724 / Angielski / Twarda / 2012 / 328 str.

Alexandra Vict Antoniouk; Roderick V. Nicolas Melnik

Opis

The book provides a unique collection of in-depth mathematical, statistical, and modeling methods and techniques for life sciences, as well as their applications in a number of areas within life sciences. It also includes arange of new ideas that represent emerging frontiers in life sciences where the application of such quantitative methods and techniques is becoming increasingly important. The bookis aimed at researchers in academia, practitioners and graduate students who want to foster interdisciplinary collaborations required to meet the challenges at the interface of modern life sciences and mathematics."

Spis treści

The book contains 12 state-of-the-art surveys and research articles at the interface of mathematics and life sciences. In particular it focuses on the following areas grouped in chapters:

• Ensemble Modeling of Biological Systems;
• Nonlinear Levy and Feller Processes and Their Applications;
• New Mathematical Results on Epidemic Models;
• Mathematical Analysis of PDE-based Models in Cell Biology;
• Axiomatic Modeling in Life Sciences;
• Theory and Applications of Nonlinear PDEs in Life Sciences;
• Pattern Formation Models with Applications in Developmental Biology;
• Modeling the Dynamics of Genetic Mechanisms;
• Statistical Modeling in Radiation Medicine;
• Physiological Effects of Physical Fields, Biological Response and Acute Pain Models;
• Approaches to Modelling Avascular Tumour Growth.

The Introductory part provides a description of the current challenges at the interface of mathematics and life sciences and a summary of the main topics covered by this book.

O autorze

Alexandra V. Antoniouk, Institute of Mathematics, National Academy of Sciences of Ukraine, Kyiv, Ukraine; Roderick V. N. Melnik, Wilfrid Laurier University, Waterloo, Ontario, Canada.