The Library
Mapping global sensitivity of cellular network dynamics: sensitivity heat maps and a global summation law
Tools
Rand, D. A. (David A.) (2008) Mapping global sensitivity of cellular network dynamics: sensitivity heat maps and a global summation law. Journal of The Royal Society Interface, Vol.5 (Suppl.1). S59-S69. doi:10.1098/rsif.2008.0084.focus ISSN 1742-5689.
Research output not available from this repository.
Request-a-Copy directly from author or use local Library Get it For Me service.
Official URL: http://dx.doi.org/10.1098/rsif.2008.0084.focus
Abstract
The dynamical systems arising from gene regulatory, signalling and metabolic networks are strongly nonlinear, have high-dimensional state spaces and depend on large numbers of parameters. Understanding the relation between the structure and the function for such systems is a considerable challenge. We need tools to identify key points of regulation, illuminate such issues as robustness and control and aid in the design of experiments. Here, I tackle this by developing new techniques for sensitivity analysis. In particular, I show how to globally analyse the sensitivity of a complex system by means of two new graphical objects: the sensitivity heat map and the parameter sensitivity spectrum. The approach to sensitivity analysis is global in the sense that it studies the variation in the whole of the model's solution rather than focusing on output variables one at a time, as in classical sensitivity analysis. This viewpoint relies on the discovery of local geometric rigidity for such systems, the mathematical insight that makes a practicable approach to such problems feasible for highly complex systems. In addition, we demonstrate a new summation theorem that substantially generalizes previous results for oscillatory and other dynamical phenomena. This theorem can be interpreted as a mathematical law stating the need for a balance between fragility and robustness in such systems.
Item Type: | Journal Article | ||||
---|---|---|---|---|---|
Subjects: | Q Science > QA Mathematics Q Science > QP Physiology |
||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics Faculty of Science, Engineering and Medicine > Research Centres > Warwick Systems Biology Centre |
||||
Library of Congress Subject Headings (LCSH): | Cellular signal transduction -- Mathematical models, Cellular control mechanisms -- Mathematical models, Circadian rhythms, Gene regulatory networks, Biological systems -- Stability, Graph theory, Dynamics | ||||
Journal or Publication Title: | Journal of The Royal Society Interface | ||||
Publisher: | The Royal Society Publishing | ||||
ISSN: | 1742-5689 | ||||
Official Date: | 6 August 2008 | ||||
Dates: |
|
||||
Volume: | Vol.5 | ||||
Number: | Suppl.1 | ||||
Number of Pages: | 11 | ||||
Page Range: | S59-S69 | ||||
DOI: | 10.1098/rsif.2008.0084.focus | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access | ||||
Funder: | Biotechnology and Biological Sciences Research Council (Great Britain) (BBSRC), Engineering and Physical Sciences Research Council (EPSRC), European Union (EU) | ||||
Grant number: | 005137 (EU) |
Data sourced from Thomson Reuters' Web of Knowledge
Request changes or add full text files to a record
Repository staff actions (login required)
View Item |