17th International Symposium on
Mathematical Theory of Networks and Systems
Kyoto International Conference Hall, Kyoto, Japan, July 24-28, 2006

MTNS 2006 Paper Abstract

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Paper MoP10.4

Streif, Stefan (Max-Planck-Inst. für Biochemie, Martinsried), Findeisen, Rolf (Univ. of Stuttgart), Bullinger, Eric (National Univ. of Ireland, Maynooth)

Relating Cross Gramians and Sensitivity Analysis in Systems Biology

Scheduled for presentation during the Regular Session "Biological Systems" (MoP10), Monday, July 24, 2006, 16:35−17:00, Room 103

17th International Symposium on Mathematical Theory of Networks and Systems, July 24-28, 2006, Kyoto, Japan

This information is tentative and subject to change. Compiled on March 28, 2024

Keywords Biological systems analysis, Estimation of nonlinear systems

Abstract

One of the key challenges in systems biology is the analysis of often complex biochemical reaction networks which contain many uncertain parameters. Typically, the dynamics of these systems strongly depends on a significant amount of parameters, hampering the analysis significantly as even small changes in the value of parameters can have significant influences on the overall behaviour of the entire network. Thus, one of the key problems in systems biology is to analyse the influence of parameters on the steady state and transient behaviour. In the first part of this work we derive links between first order sensitivity analysis as typically employed in systems biology and the concepts of controllability and observability of systems theory. Specifically we establish a close connection between cross Gramians and the so called response coefficients as used in Metabolic Control Analysis. In a second part we outline an expansion of this approach using empirical cross Gramians, allowing to overcome some of the limitations of first order sensitivity methods such as local validity