An introduction to the mathematical concepts and techniques needed for the construction and analysis of models in molecular systems biology. Systems techniques are integral to current research in molecular cell biology, and system-level investigations are often accompanied by mathematical models. These models serve as working hypotheses: they help us to understand and predict the behavior of complex systems. This book offers an introduction to mathematical concepts and techniques needed for the construction and interpretation of models in molecular systems biology. It is accessible to upper-level undergraduate or graduate students in life science or engineering who have some familiarity with calculus, and will be a useful reference for researchers at all levels. The first four chapters cover the basics of mathematical modeling in molecular systems biology. The last four chapters address specific biological domains, treating modeling of metabolic networks, of signal transduction pathways, of gene regulatory networks, and of electrophysiology and neuronal action potentials. Chapters 3–8 end with optional sections that address more specialized modeling topics. Exercises, solvable with pen-and-paper calculations, appear throughout the text to encourage interaction with the mathematical techniques. More involved end-of-chapter problem sets require computational software. Appendixes provide a review of basic concepts of molecular biology, additional mathematical background material, and tutorials for two computational software packages (XPPAUT and MATLAB) that can be used for model simulation and analysis.
... Cells C. Pozrikidis Computational Neuroscience: A Comprehensive Approach Jianfeng Feng Computational Systems Biology of Cancer Emmanuel Barillot, Laurence Calzone, Philippe Hupé, Jean-Philippe Vert, and Andrei Zinovyev Introduction to ...
The reprint presents a collection of systems biology-related topics and new studies that utilize computational, mathematical, and systems-oriented approaches to reveal important aspects of various biological problems.
This book is intended for students of computational systems biology with only a limited background in mathematics.
The techniques described in this book encompass a wide range of mechanisms, from molecular behavior to population dynamics, and the inclusion of recent developments in the literature together with first-hand results make it an ideal ...
This unique guide to the modeling of biochemical systems using Petri net concepts will be of real utility to researchers and students of computational biology, systems biology, bioinformatics, computer science, and biochemistry.
The book pedagogy is developed as a well-annotated, systematic tutorial – with clearly spelled-out and unified nomenclature – derived from the author’s own modeling efforts, publications and teaching over half a century.
Pohley, H. J., Thomas, B.: Non-linear ESS-models and frequency dependent selection. BioSystems, 16,87–100 (1983). Shahshahani, S.: A New Mathematical Framework for the Study of Linkage and Selection. Memoirs Series of Amer. Math. Soc.
The topics covered in this extensive book deal with the core aspects of mathematical modeling and model analysis in the discipline of systems biology.
This interdisciplinary textbook provides a practical introduction to basic mathematical modelling methodology and analysis.
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 ...