Lab Home | Phone | Search
Center for Nonlinear Studies  Center for Nonlinear Studies
 Colloquia Archive 
 Postdoc Seminars Archive 
 Quantum Lunch 
 Quantum Lunch Archive 
 CMS Colloquia 
 Q-Mat Seminars 
 Q-Mat Seminars Archive 
 P/T Colloquia 
 Kac Lectures 
 Kac Fellows 
 Dist. Quant. Lecture 
 Ulam Scholar 
 CNLS Fellowship Application 
 Student Program 
 Past Visitors 
 History of CNLS 
 Maps, Directions 
 CNLS Office 
Wednesday, May 27, 2009
1:30 PM - 2:30 PM
CNLS Conference Room (TA-3, Bldg 1690)


A System Design Space for Biochemical Systems: Qualitative Phenotypes and Algebraic Geometry

Michael Saveageau
University of California, Davis

Determining quality of performance for a biological system is critical to identifying and elucidation its design principles. This important task is greatly facilitated by enumeration of regions within the system's design space that exhibit qualitatively distinct phenotypes. First, I will review a few examples of design spaces that have proved useful in revealing design principles for elementary gene circuits. Second, I will present an approach to the generic construction of design spaces. This approach is grounded in the power-law equations that characterize traditional chemical kinetics and, by transformation, the rational functions that characterize biochemical kinetics. In steady state, the analysis of these equations can be reduced to that of linear algebraic equations. Third, these methods will be illustrated with applications from common classes of biochemical network motifs, including unbranched pathways, branched pathways, moiety-transfer cycles, and elementary gene circuits. Finally, in the case of moiety-transfer cycles, predictions will be tested with experimental data from human erythrocytes.

Host: Robert Ecke, CNLS