Matches in SemOpenAlex for { <https://semopenalex.org/work/W2994590122> ?p ?o ?g. }
- W2994590122 endingPage "108732" @default.
- W2994590122 startingPage "108732" @default.
- W2994590122 abstract "The number of equilibrium points of a dynamical system dictates important qualitative properties, such as the ability of the system to store different memory states, and may be significantly affected by state-dependent perturbations. In this paper, we develop a methodology based on tools from degree theory to determine whether the number of equilibrium points in a positive dynamical system changes due to structured state-dependent perturbations. Positive dynamical systems are particularly well suited to describe biological systems where the states are always positive. We prove two main theorems that utilize the determinant of the system’s Jacobian to find algebraic conditions on the parameters determining whether the number of equilibrium points is guaranteed either to change or to remain the same when a nominal system is compared to its perturbed counterpart. We demonstrate the application of the theoretical results to genetic networks where state-dependent perturbations arise due to disturbances in cellular resources. These disturbances constitute a major problem for predicting the behavior of genetic networks. Our results determine whether such perturbations change a genetic network’s number of steady states. The framework and results presented can be applied to a broad class of nonlinear dynamical systems beyond genetic networks." @default.
- W2994590122 created "2019-12-13" @default.
- W2994590122 creator A5036095256 @default.
- W2994590122 creator A5091103711 @default.
- W2994590122 date "2020-02-01" @default.
- W2994590122 modified "2023-10-02" @default.
- W2994590122 title "The number of equilibrium points of perturbed nonlinear positive dynamical systems" @default.
- W2994590122 cites W1963204303 @default.
- W2994590122 cites W1970661255 @default.
- W2994590122 cites W1974915811 @default.
- W2994590122 cites W1980077650 @default.
- W2994590122 cites W1997015026 @default.
- W2994590122 cites W2016931470 @default.
- W2994590122 cites W2037610882 @default.
- W2994590122 cites W2037913229 @default.
- W2994590122 cites W2053145248 @default.
- W2994590122 cites W2061425021 @default.
- W2994590122 cites W2072319015 @default.
- W2994590122 cites W2081848717 @default.
- W2994590122 cites W2094781369 @default.
- W2994590122 cites W2095219828 @default.
- W2994590122 cites W2097755389 @default.
- W2994590122 cites W2111870329 @default.
- W2994590122 cites W2125149430 @default.
- W2994590122 cites W2127808790 @default.
- W2994590122 cites W2132724170 @default.
- W2994590122 cites W2192893656 @default.
- W2994590122 cites W2485799720 @default.
- W2994590122 cites W2501736566 @default.
- W2994590122 cites W2753091693 @default.
- W2994590122 cites W2765559712 @default.
- W2994590122 cites W2804871344 @default.
- W2994590122 cites W2949263858 @default.
- W2994590122 cites W2952545994 @default.
- W2994590122 cites W2952845332 @default.
- W2994590122 cites W4211095127 @default.
- W2994590122 doi "https://doi.org/10.1016/j.automatica.2019.108732" @default.
- W2994590122 hasPublicationYear "2020" @default.
- W2994590122 type Work @default.
- W2994590122 sameAs 2994590122 @default.
- W2994590122 citedByCount "9" @default.
- W2994590122 countsByYear W29945901222020 @default.
- W2994590122 countsByYear W29945901222021 @default.
- W2994590122 countsByYear W29945901222023 @default.
- W2994590122 crossrefType "journal-article" @default.
- W2994590122 hasAuthorship W2994590122A5036095256 @default.
- W2994590122 hasAuthorship W2994590122A5091103711 @default.
- W2994590122 hasBestOaLocation W29945901221 @default.
- W2994590122 hasConcept C11413529 @default.
- W2994590122 hasConcept C121332964 @default.
- W2994590122 hasConcept C121864883 @default.
- W2994590122 hasConcept C134306372 @default.
- W2994590122 hasConcept C154945302 @default.
- W2994590122 hasConcept C158622935 @default.
- W2994590122 hasConcept C200331156 @default.
- W2994590122 hasConcept C2775924081 @default.
- W2994590122 hasConcept C2777212361 @default.
- W2994590122 hasConcept C28826006 @default.
- W2994590122 hasConcept C33923547 @default.
- W2994590122 hasConcept C33962884 @default.
- W2994590122 hasConcept C41008148 @default.
- W2994590122 hasConcept C47446073 @default.
- W2994590122 hasConcept C48103436 @default.
- W2994590122 hasConcept C62520636 @default.
- W2994590122 hasConcept C78045399 @default.
- W2994590122 hasConcept C79379906 @default.
- W2994590122 hasConcept C9376300 @default.
- W2994590122 hasConcept C94766913 @default.
- W2994590122 hasConceptScore W2994590122C11413529 @default.
- W2994590122 hasConceptScore W2994590122C121332964 @default.
- W2994590122 hasConceptScore W2994590122C121864883 @default.
- W2994590122 hasConceptScore W2994590122C134306372 @default.
- W2994590122 hasConceptScore W2994590122C154945302 @default.
- W2994590122 hasConceptScore W2994590122C158622935 @default.
- W2994590122 hasConceptScore W2994590122C200331156 @default.
- W2994590122 hasConceptScore W2994590122C2775924081 @default.
- W2994590122 hasConceptScore W2994590122C2777212361 @default.
- W2994590122 hasConceptScore W2994590122C28826006 @default.
- W2994590122 hasConceptScore W2994590122C33923547 @default.
- W2994590122 hasConceptScore W2994590122C33962884 @default.
- W2994590122 hasConceptScore W2994590122C41008148 @default.
- W2994590122 hasConceptScore W2994590122C47446073 @default.
- W2994590122 hasConceptScore W2994590122C48103436 @default.
- W2994590122 hasConceptScore W2994590122C62520636 @default.
- W2994590122 hasConceptScore W2994590122C78045399 @default.
- W2994590122 hasConceptScore W2994590122C79379906 @default.
- W2994590122 hasConceptScore W2994590122C9376300 @default.
- W2994590122 hasConceptScore W2994590122C94766913 @default.
- W2994590122 hasFunder F4320306076 @default.
- W2994590122 hasLocation W29945901221 @default.
- W2994590122 hasOpenAccess W2994590122 @default.
- W2994590122 hasPrimaryLocation W29945901221 @default.
- W2994590122 hasRelatedWork W1991408165 @default.
- W2994590122 hasRelatedWork W1993241834 @default.
- W2994590122 hasRelatedWork W2018350469 @default.
- W2994590122 hasRelatedWork W2349569837 @default.
- W2994590122 hasRelatedWork W2385732923 @default.
- W2994590122 hasRelatedWork W2783617944 @default.