Structural analysis of kinetic systems with uncertain parameters

Szederkényi, Gábor; Ács, Bernadett; Szlobodnyik, Gergely

doi:10.1016/j.ifacol.2016.10.746

Cited by 1 publication

(1 citation statement)

References 7 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In such a case, using the covariance matrix of the estimates and the nonnegativity/kinetic constraints for the system model, we can define a simple interval-based (see, e.g. [26]), or more general (e.g., polytopic or ellipsoidal) uncertain model [25,37]. Based on the above, the goal of this paper is to extend and illustrate previously introduced notions, computational models and algorithms for kinetic systems with polytopic uncertainty.…”

Section: Introductionmentioning

confidence: 99%

A computational approach to the structural analysis of uncertain kinetic systems

Ács

Szlobodnyik

Szederkényi

2018

Computer Physics Communications

Self Cite

View full text Add to dashboard Cite

A computation-oriented representation of uncertain kinetic systems is introduced and analysed in this paper. It is assumed that the monomial coefficients of the ODEs belong to a polytopic set, which defines a set of dynamical systems for an uncertain model. An optimization-based computation model is proposed for the structural analysis of uncertain models. It is shown that the so-called dense realization containing the maximum number of reactions (directed edges) is computable in polynomial time, and it forms a superstructure among all the possible reaction graphs corresponding to an uncertain kinetic model, assuming a fixed set of complexes. The set of core reactions present in all reaction graphs of an uncertain model is also studied. Most importantly, an algorithm is proposed to compute all possible reaction graph structures for an uncertain kinetic model.

show abstract

Section: Introductionmentioning

confidence: 99%