Biomolecular Feedback Systems

Description

This book provides an accessible introduction to the principles and tools for modeling, analyzing, and synthesizing biomolecular systems. It begins with modeling tools such as reaction-rate equations, reduced-order models, stochastic models, and specific models of important core processes. It then describes in detail the control and dynamical systems tools used to analyze these models. These include tools for analyzing stability of equilibria, limit cycles, robustness, and parameter uncertainty. Modeling and analysis techniques are then applied to design examples from both natural systems and synthetic biomolecular circuits. In addition, this comprehensive book addresses the problem of modular composition of synthetic circuits, the tools for analyzing the extent of modularity, and the design techniques for ensuring modular behavior. It also looks at design trade-offs, focusing on perturbations due to noise and competition for shared cellular resources. Featuring numerous exercises and illustrations throughout, Biomolecular Feedback Systems is the ideal textbook for advanced undergraduates and graduate students. For researchers, it can also serve as a self-contained reference on the feedback control techniques that can be applied to biomolecular systems. * Provides a user-friendly introduction to essential concepts, tools, and applications* Covers the most commonly used modeling methods* Addresses the modular design problem for biomolecular systems* Uses design examples from both natural systems and synthetic circuits* Solutions manual (available only to professors at press.princeton.edu)* An online illustration package is available to professors at press.princeton.edu

Domitilla Del Vecchio is associate professor of mechanical engineering at the Massachusetts Institute of Technology. Richard M. Murray is professor of control and dynamical systems and bioengineering at the California Institute of Technology. His books include "Feedback Systems: An Introduction for Scientists and Engineers" (Princeton).

"The authors did superbly in combining the biophysical processes and corresponding mathematics... This book serves both as a primer and a reference for constructing synthetic biological circuits with special focus on biomolecular feedback. It nicely bridges the gap between fields with a concise biological introduction, and approachable mathematics."--Harold Bien and Gabor Balazsi, Quarterly Review of Biology "This book promises much for the reader with a background in both biochemistry and mathematics. Such a reader will not only learn how to analyse models for bioengineered bimolecular systems but they will have the insights to both build these systems and to 'tune' the biochemistry to obtain desired parameter values."--Mark Nelson, Gazette of the Australian Mathematical Society