This book on mathematical modeling of biological processes includes a wide selection of biological topics that demonstrate the power of mathematics and computational codes in setting up biological processes with a rigorous and predictive framework. Topics include: enzyme dynamics, spread of disease, harvesting bacteria, competition among live species, neuronal oscillations, transport of neurofilaments in axon, cancer and cancer therapy, and granulomas. Complete with a description of the biological background and biological question that requires the use of mathematics, this book is developed for graduate students and advanced undergraduate students with only basic knowledge of ordinary differential equations and partial differential equations; background in biology is not required. Students will gain knowledge on how to program with MATLAB without previous programming experience and how to use codes in order to test biological hypothesis.
Although great advances have taken place in many of the topics covered, the simple lessons contained in this book are still important and informative.
This book is based on a one semester course that the authors have been teaching for several years, and includes two sets of case studies.
Through several case study problems from industrial and scientific research laboratory applications, Mathematical and Experimental Modeling of Physical and Biological Processes provides students with a fundamental understanding of how ...
This book offers an introduction to mathematical concepts and techniques needed for the construction and interpretation of models in molecular systems biology.
This is the only book that teaches all aspects of modern mathematical modeling and that is specifically designed to introduce undergraduate students to problem solving in the context of biology.
Susan E. Johnston, Jacob Gratten, Camillo Berenos, Jill G. Pilkington, Tim H. Clutton-Brock, Josephine M. Pemberton, “Life history trade-offs at a single locus maintain sexually selected genetic variation,” Nature 502 (2013) 93–95.
The main concern of the book is analysis of biological processes, the final stage of which is mathematical modeling, i.e. quantitative presentation of the processes in rigorous mathematical terms.
The modeling process - an overview. Dimension and similarity. Probability models. Dynamic processes. Interacting dynamic processes. Feedback control and stability of biological systems. Curve fiting: estimating the parameters. Computing.
Linear and non-linear models of populations, molecular evolution, phylogenetic tree construction, genetics, and infectious diseases are presented with minimal prerequisites.
For this new edition, author Edward Beltrami uses mathematical models that are simple, transparent, and verifiable.