Abstract
Biochemical networks typically exhibit intricate topologies that hinder their analysis with control-theoretic tools. In this work we present a systematic methodology for the identification of the control structure of a reaction network. The method is based on a bandwidth reduction technique applied to the incidence matrix of the network's graph. In addition, in the case of mass-action and stable networks we show that it is possible to identify linear algebraic dependencies between the time-domain integrals of some species' concentrations. We consider the extrinsic apoptosis pathway and an activation-inhibition mechanism to illustrate the application of our results.
| Original language | English |
|---|---|
| Title of host publication | Proceedings of the 2010 American Control Conference |
| Pages | 6668-6673 |
| Number of pages | 6 |
| DOIs | |
| Publication status | Published - 1 Jun 2010 |
| Event | 2010 American Control Conference - Baltimore, United States Duration: 30 Jun 2010 → 2 Jul 2010 http://acc2010.a2c2.org/ |
Conference
| Conference | 2010 American Control Conference |
|---|---|
| Abbreviated title | ACC 2010 |
| Country/Territory | United States |
| City | Baltimore |
| Period | 30/06/10 → 2/07/10 |
| Internet address |
Keywords / Materials (for Non-textual outputs)
- biocontrol
- linear algebra
- time-domain analysis
- control structure
- biochemical networks
- bandwidth reduction technique
- incidence matrix
- linear algebraic
- time-domain integrals
- extrinsic apoptosis pathway
- activation-inhibition mechanism
- Network topology
- Biochemical analysis
- Control systems
- Bandwidth
- Time domain analysis
- Biological control systems
- Computer networks
- Control system analysis
- Systems biology
- Plants (biology)