### Abstract

Lingua originale | English |
---|---|

Stato di pubblicazione | Published - 2007 |

### All Science Journal Classification (ASJC) codes

- Electrical and Electronic Engineering

### Cita questo

*On Discovering Low Order Models in Biochemical Reaction Kinetics*.

**On Discovering Low Order Models in Biochemical Reaction Kinetics.** / Giarre, Laura; Bamieh.

Risultato della ricerca: Paper

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TY - CONF

T1 - On Discovering Low Order Models in Biochemical Reaction Kinetics

AU - Giarre, Laura

AU - Bamieh, null

PY - 2007

Y1 - 2007

N2 - We develop a method by which a large number of differential equations representing biochemical reaction kinetics may be represented by a smaller number of differential equations. The basis of our technique is a conjecture that the high dimension equations of biochemical kinetics, which involve reaction terms of specific forms, are actually implementing a low dimension system whose behavior requires right hand sides that can not be biochemically implemented. For systems that satisfy this conjecture, we develop a simple approximation scheme based on multilinear algebra that extracts the low dimensional system from simulations of the high dimension system. We demonstrate this technique on a standard 10 dimensional model of circadian oscillations and obtain a 3 dimensional sub-model that has the same rhythmic, birhythmic and chaotic behavior of the original model.

AB - We develop a method by which a large number of differential equations representing biochemical reaction kinetics may be represented by a smaller number of differential equations. The basis of our technique is a conjecture that the high dimension equations of biochemical kinetics, which involve reaction terms of specific forms, are actually implementing a low dimension system whose behavior requires right hand sides that can not be biochemically implemented. For systems that satisfy this conjecture, we develop a simple approximation scheme based on multilinear algebra that extracts the low dimensional system from simulations of the high dimension system. We demonstrate this technique on a standard 10 dimensional model of circadian oscillations and obtain a 3 dimensional sub-model that has the same rhythmic, birhythmic and chaotic behavior of the original model.

UR - http://hdl.handle.net/10447/12292

M3 - Paper

ER -