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Special Semester on Quantitative Biology analyzed by Mathematical Methods
Linz, October 1, 2007 - January 27, 2008
Inverse analysis for qualitative aspects of gene networks

Workshop on Systems Biology, Wed, 07 Nov, 2007

Speaker: James Lu

Abstract

Many questions that one would like to address in systems biology are essentially problems of the inverse type. That is, one would like to identify the causes of observed or desired behaviors. For instance: what biochemical mechanisms could give rise to the observed mutant phenotypes? what underlies the period robustness of circadian rhythm oscillators?

To address these issues, we propose an inverse dynamical analysis methodology consisting of 2 parts:

1) inverse eigenvalue analysis - probe the possible qualitative dynamical behaviors, such as bistability or oscillations
2) inverse bifurcation analysis - infer mechanisms governing bifurcation phenotypes

These inverse problems typically have no unique solutions; hence we use sparsity-promoting methods to identify the core mechanisms. We show aspects of the proposed algorithms and demonstrate applications to gene networks.

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