On projection-based model reduction of biochemical networks Part I: The deterministic case
A Sootla, J Anderson - 53rd IEEE Conference on Decision and …, 2014 - ieeexplore.ieee.org
53rd IEEE Conference on Decision and Control, 2014•ieeexplore.ieee.org
This paper addresses the problem of model reduction for dynamical system models that
describe biochemical reaction networks. Inherent in such models are properties such as
stability, positivity and network structure. Ideally these properties should be preserved by
model reduction procedures, although traditional projection based approaches struggle to
do this. We propose a projection based model reduction algorithm which uses generalised
block diagonal Gramians to preserve structure and positivity. Two algorithms are presented …
describe biochemical reaction networks. Inherent in such models are properties such as
stability, positivity and network structure. Ideally these properties should be preserved by
model reduction procedures, although traditional projection based approaches struggle to
do this. We propose a projection based model reduction algorithm which uses generalised
block diagonal Gramians to preserve structure and positivity. Two algorithms are presented …
This paper addresses the problem of model reduction for dynamical system models that describe biochemical reaction networks. Inherent in such models are properties such as stability, positivity and network structure. Ideally these properties should be preserved by model reduction procedures, although traditional projection based approaches struggle to do this. We propose a projection based model reduction algorithm which uses generalised block diagonal Gramians to preserve structure and positivity. Two algorithms are presented, one provides more accurate reduced order models, the second provides easier to simulate reduced order models.
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