FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W4200378987> ?p ?o ?g. }

• W4200378987 endingPage "3133" @default.
• W4200378987 startingPage "3133" @default.
• W4200378987 abstract "The genetic toggle switch is a well known model in synthetic biology that represents the dynamic interactions between two genes that repress each other. The mathematical models for the genetic toggle switch that currently exist have been useful in describing circuit dynamics in rapidly dividing cells, assuming fixed or time-invariant kinetic rates. There is a growing interest in being able to model and extend synthetic biological function for growth conditions such as stationary phase or during nutrient starvation. As cells transition from one growth phase to another, kinetic rates become time-varying parameters. In this paper, we propose a novel class of parameter varying nonlinear models that can be used to describe the dynamics of genetic circuits, including the toggle switch, as they transition from different phases of growth. We show that there exists unique solutions for this class of systems, as well as for a class of systems that incorporates the microbial phenomena of quorum sensing. Further, we show that the domain of these systems, which is the positive orthant, is positively invariant. We also showcase a theoretical control strategy for these systems that would grant asymptotic monostability of a desired fixed point. We then take the general form of these systems and analyze their stability properties through the framework of time-varying Koopman operator theory. A necessary condition for asymptotic stability is also provided as well as a sufficient condition for instability. A Koopman control strategy for the system is also proposed, as well as an analogous discrete time-varying Koopman framework for applications with regularly sampled measurements." @default.
• W4200378987 created "2021-12-31" @default.
• W4200378987 creator A5019324725 @default.
• W4200378987 creator A5091530669 @default.
• W4200378987 date "2021-12-05" @default.
• W4200378987 modified "2023-10-16" @default.
• W4200378987 title "Stability Analysis of Parameter Varying Genetic Toggle Switches Using Koopman Operators" @default.
• W4200378987 cites W1545678009 @default.
• W4200378987 cites W1723433682 @default.
• W4200378987 cites W1978282180 @default.
• W4200378987 cites W2050048613 @default.
• W4200378987 cites W2054714794 @default.
• W4200378987 cites W2062584479 @default.
• W4200378987 cites W2067035505 @default.
• W4200378987 cites W2073505808 @default.
• W4200378987 cites W2077083618 @default.
• W4200378987 cites W2089149950 @default.
• W4200378987 cites W2109110326 @default.
• W4200378987 cites W2114876173 @default.
• W4200378987 cites W2121987905 @default.
• W4200378987 cites W2134759932 @default.
• W4200378987 cites W2154273006 @default.
• W4200378987 cites W2169696772 @default.
• W4200378987 cites W2172945660 @default.
• W4200378987 cites W2194574337 @default.
• W4200378987 cites W2342527555 @default.
• W4200378987 cites W2405158121 @default.
• W4200378987 cites W2512552511 @default.
• W4200378987 cites W2561027863 @default.
• W4200378987 cites W2563038017 @default.
• W4200378987 cites W2572513255 @default.
• W4200378987 cites W2605634350 @default.
• W4200378987 cites W2617697895 @default.
• W4200378987 cites W2883426379 @default.
• W4200378987 cites W2950805711 @default.
• W4200378987 cites W2963401716 @default.
• W4200378987 cites W2963448313 @default.
• W4200378987 cites W2963611087 @default.
• W4200378987 cites W2964119648 @default.
• W4200378987 cites W2991844785 @default.
• W4200378987 cites W3019988632 @default.
• W4200378987 cites W3038118776 @default.
• W4200378987 cites W3045596154 @default.
• W4200378987 cites W3136945292 @default.
• W4200378987 cites W3183721134 @default.
• W4200378987 cites W3205703217 @default.
• W4200378987 cites W3209310296 @default.
• W4200378987 cites W2015845478 @default.
• W4200378987 doi "https://doi.org/10.3390/math9233133" @default.
• W4200378987 hasPublicationYear "2021" @default.
• W4200378987 type Work @default.
• W4200378987 citedByCount "2" @default.
• W4200378987 countsByYear W42003789872022 @default.
• W4200378987 crossrefType "journal-article" @default.
• W4200378987 hasAuthorship W4200378987A5019324725 @default.
• W4200378987 hasAuthorship W4200378987A5091530669 @default.
• W4200378987 hasBestOaLocation W42003789871 @default.
• W4200378987 hasConcept C112972136 @default.
• W4200378987 hasConcept C119857082 @default.
• W4200378987 hasConcept C121332964 @default.
• W4200378987 hasConcept C154945302 @default.
• W4200378987 hasConcept C158622935 @default.
• W4200378987 hasConcept C167964875 @default.
• W4200378987 hasConcept C190470478 @default.
• W4200378987 hasConcept C2775924081 @default.
• W4200378987 hasConcept C2780016784 @default.
• W4200378987 hasConcept C28826006 @default.
• W4200378987 hasConcept C33923547 @default.
• W4200378987 hasConcept C37914503 @default.
• W4200378987 hasConcept C41008148 @default.
• W4200378987 hasConcept C47446073 @default.
• W4200378987 hasConcept C62520636 @default.
• W4200378987 hasConceptScore W4200378987C112972136 @default.
• W4200378987 hasConceptScore W4200378987C119857082 @default.
• W4200378987 hasConceptScore W4200378987C121332964 @default.
• W4200378987 hasConceptScore W4200378987C154945302 @default.
• W4200378987 hasConceptScore W4200378987C158622935 @default.
• W4200378987 hasConceptScore W4200378987C167964875 @default.
• W4200378987 hasConceptScore W4200378987C190470478 @default.
• W4200378987 hasConceptScore W4200378987C2775924081 @default.
• W4200378987 hasConceptScore W4200378987C2780016784 @default.
• W4200378987 hasConceptScore W4200378987C28826006 @default.
• W4200378987 hasConceptScore W4200378987C33923547 @default.
• W4200378987 hasConceptScore W4200378987C37914503 @default.
• W4200378987 hasConceptScore W4200378987C41008148 @default.
• W4200378987 hasConceptScore W4200378987C47446073 @default.
• W4200378987 hasConceptScore W4200378987C62520636 @default.
• W4200378987 hasFunder F4320332180 @default.
• W4200378987 hasFunder F4320338281 @default.
• W4200378987 hasFunder F4320338354 @default.
• W4200378987 hasIssue "23" @default.
• W4200378987 hasLocation W42003789871 @default.
• W4200378987 hasLocation W42003789872 @default.
• W4200378987 hasLocation W42003789873 @default.
• W4200378987 hasOpenAccess W4200378987 @default.
• W4200378987 hasPrimaryLocation W42003789871 @default.
• W4200378987 hasRelatedWork W1490070682 @default.
• W4200378987 hasRelatedWork W1494666726 @default.

• next