Title:
Qualitative/quantitative analysis of a class of biological networks
Speaker:
Eduardo Sontag, Department of Mathematics & BioMaPS Institute for Quantitative Biology, Rutgers Univ
Subject:
Quantitative Mathematical Modeling of Gene Regulatory Networks
Area:
Medicine
Type of school:
university
School name:
ohio state university
Country:
United States
Course language:
English
Course media:
Video
Course duration:
Contributor:
pbp
Comments:
Author: Eduardo Sontag, Department of Mathematics & BioMaPS Institute for Quantitative Biology, Rutgers University
Title: Qualitative/quantitative analysis of a class of biological networks
http://www.math.rutgers.edu/~sontag/papers.html
The analysis of signaling networks constitutes one of the central questions in systems biology: there is an pressing need for powerful mathematical tools to help understand, quantify, and conceptualize their information processing and dynamic properties. Approaches based upon detailed modeling and simulation are hampered by the fact that is virtually impossible to experimentally validate the form of the nonlinearities used in reaction terms, or, even when such forms are known, to accurately estimate coefficients (parameters). In this presentation, we show how some signaling systems may be profitably studied by first decomposing them into several subsystems, each of which is endowed with certain "qualitative" mathematical properties. These properties, in conjunction with a relatively small amount of "quantitative" data, allow the behavior of the entire, reconstituted system, to be deduced from the behavior of its parts. This novel approach emerged originally from our study of possible multi-stability or oscillations in feedback loops in cell signal transduction modeling, but turns out to be of more general applicability. The mathematical techniques rely heavily on the theory of monotone systems. (Most of the work reported in this talk was caried out in collaboration with D. Angeli, and parts of it with J. Ferrell, G. Enciso, and P. de Leenheer.)
pbp