Matches in SemOpenAlex for { <https://semopenalex.org/work/W2938226738> ?p ?o ?g. }
Showing items 1 to 89 of
89
with 100 items per page.
- W2938226738 endingPage "222" @default.
- W2938226738 startingPage "187" @default.
- W2938226738 abstract "In this paper we present a mathematical analysis of a pharmacological ODE model for target mediated drug disposition (TMDD). It is known that solutions of this model undergo four qualitatively different phases. In this paper we provide a mathematical identification of these separate phases by viewing the TMDD model as a singular perturbed system. Our analysis is based on geometric singular perturbation theory and we believe that this approach systemizes—and sheds further light on—the scalings arguments used by previous authors. In particular, we present a novel description of the third phase through a distinguished solution of a nonlinear differential equation. We also describe the solution curve for large values of initial drug doses and recover, en route, a result by Aston et al. (J Math Biol 68(6):1453–1478, 2014) on rebounding using our alternative perturbation approach. Finally, from our main result we derive a new method for estimating the parameters of the system in the event that detailed data is available. Ideally our approach to the TMDD model should stimulate further research into applications of these methods to more complicated models in pharmacology." @default.
- W2938226738 created "2019-04-25" @default.
- W2938226738 creator A5012378349 @default.
- W2938226738 date "2019-04-10" @default.
- W2938226738 modified "2023-09-26" @default.
- W2938226738 title "Geometric singular perturbation analysis of a dynamical target mediated drug disposition model" @default.
- W2938226738 cites W1566149917 @default.
- W2938226738 cites W1981961598 @default.
- W2938226738 cites W1986739294 @default.
- W2938226738 cites W1994025780 @default.
- W2938226738 cites W2011339542 @default.
- W2938226738 cites W2025475039 @default.
- W2938226738 cites W2033332673 @default.
- W2938226738 cites W2033399761 @default.
- W2938226738 cites W2048691136 @default.
- W2938226738 cites W2059625173 @default.
- W2938226738 cites W2064668598 @default.
- W2938226738 cites W2097892506 @default.
- W2938226738 cites W2115284473 @default.
- W2938226738 cites W2119138374 @default.
- W2938226738 cites W2159414118 @default.
- W2938226738 cites W2163848645 @default.
- W2938226738 cites W226431050 @default.
- W2938226738 cites W2317594819 @default.
- W2938226738 cites W2413977353 @default.
- W2938226738 cites W28215347 @default.
- W2938226738 cites W3101645996 @default.
- W2938226738 cites W420509224 @default.
- W2938226738 cites W4236765228 @default.
- W2938226738 cites W843153803 @default.
- W2938226738 cites W947716554 @default.
- W2938226738 doi "https://doi.org/10.1007/s00285-019-01354-3" @default.
- W2938226738 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/30972439" @default.
- W2938226738 hasPublicationYear "2019" @default.
- W2938226738 type Work @default.
- W2938226738 sameAs 2938226738 @default.
- W2938226738 citedByCount "7" @default.
- W2938226738 countsByYear W29382267382019 @default.
- W2938226738 countsByYear W29382267382020 @default.
- W2938226738 countsByYear W29382267382021 @default.
- W2938226738 countsByYear W29382267382022 @default.
- W2938226738 crossrefType "journal-article" @default.
- W2938226738 hasAuthorship W2938226738A5012378349 @default.
- W2938226738 hasBestOaLocation W29382267382 @default.
- W2938226738 hasConcept C121332964 @default.
- W2938226738 hasConcept C134306372 @default.
- W2938226738 hasConcept C165160513 @default.
- W2938226738 hasConcept C177918212 @default.
- W2938226738 hasConcept C28826006 @default.
- W2938226738 hasConcept C33923547 @default.
- W2938226738 hasConcept C34862557 @default.
- W2938226738 hasConcept C41008148 @default.
- W2938226738 hasConcept C51544822 @default.
- W2938226738 hasConcept C62520636 @default.
- W2938226738 hasConcept C78045399 @default.
- W2938226738 hasConceptScore W2938226738C121332964 @default.
- W2938226738 hasConceptScore W2938226738C134306372 @default.
- W2938226738 hasConceptScore W2938226738C165160513 @default.
- W2938226738 hasConceptScore W2938226738C177918212 @default.
- W2938226738 hasConceptScore W2938226738C28826006 @default.
- W2938226738 hasConceptScore W2938226738C33923547 @default.
- W2938226738 hasConceptScore W2938226738C34862557 @default.
- W2938226738 hasConceptScore W2938226738C41008148 @default.
- W2938226738 hasConceptScore W2938226738C51544822 @default.
- W2938226738 hasConceptScore W2938226738C62520636 @default.
- W2938226738 hasConceptScore W2938226738C78045399 @default.
- W2938226738 hasIssue "1" @default.
- W2938226738 hasLocation W29382267381 @default.
- W2938226738 hasLocation W29382267382 @default.
- W2938226738 hasLocation W29382267383 @default.
- W2938226738 hasOpenAccess W2938226738 @default.
- W2938226738 hasPrimaryLocation W29382267381 @default.
- W2938226738 hasRelatedWork W1968761841 @default.
- W2938226738 hasRelatedWork W2066648965 @default.
- W2938226738 hasRelatedWork W2155862012 @default.
- W2938226738 hasRelatedWork W2263887205 @default.
- W2938226738 hasRelatedWork W2316250911 @default.
- W2938226738 hasRelatedWork W2403219364 @default.
- W2938226738 hasRelatedWork W2953947780 @default.
- W2938226738 hasRelatedWork W2993844216 @default.
- W2938226738 hasRelatedWork W3001038039 @default.
- W2938226738 hasRelatedWork W4206695959 @default.
- W2938226738 hasVolume "79" @default.
- W2938226738 isParatext "false" @default.
- W2938226738 isRetracted "false" @default.
- W2938226738 magId "2938226738" @default.
- W2938226738 workType "article" @default.