Supplement: Biomolecular Feedback Systems
Domitilla Del Vecchio (U. Michigan) and Richard M. Murray (Caltech)
This supplement is intended for researchers interested in the application of feedback and control to biomolecular systems. The material has been designed so that it can be used in parallel with Feedback Systems as part of a course on biomolecular feedback and control systems, or as a standalone reference for readers who have had a basic course in feedback and control theory. The supplement is being written by Domitilla Del Vecchio and Richard Murray based on a variety of presentations, lectures and notes.
This page contains working notes for the material that is being prepared for the supplement. We anticipate that a preliminary version of the notes will be available by July 2009.
Audience
The supplement is intended to be useful to three distinct audiences:
 First year PhD students in biology and bioengineering interested in feedback and control mechanisms in cells
 Juniors through graduate students in engineering who are interested in biological circuit design
 More senior researchers in the biological sciences who want to understand the application of principles and tools from feedback systems as applied to biomolecular systems
The prerequisites for the supplement are a basic understanding of probability, differential equations and some linear algebra at an undergraduate level, along with a first course in feedback and control systems at the level of the main text (can be taken concurrently).
Outline
The current plan for the supplement is based on the following draft outline. Comments are welcome on topics that are missing.


Examples
The material above is intended to be useful in analyzing a large variety of natural and engineered biomolecular feedback systems. Some of these examples will be included in the text, while others may be mentioned in exercises or simply left for the reader to explore on their own.


Additional Information
 Engineering Principles in Biological Systems: 68 December 2006, Cold Spring Harbor Laboratory
 Design Principles in Biological Systems: 2428 April 2008, Institute for Mathematics and Its Applications (IMA)