Matches in SemOpenAlex for { <https://semopenalex.org/work/W4301945734> ?p ?o ?g. }
Showing items 1 to 94 of
94
with 100 items per page.
- W4301945734 abstract "Cell proliferation is typically incorporated into stochastic mathematical models of cell migration by assuming that cell divisions occur after an exponentially distributed waiting time. Experimental observations, however, show that this assumption is often far from the real cell cycle time distribution (CCTD). Recent studies have suggested an alternative approach to modelling cell proliferation based on a multi-stage representation of the CCTD. In order to validate and parametrise these models, it is important to connect them to experimentally measurable quantities. In this paper we investigate the connection between the CCTD and the speed of the collective invasion. We first state a result for a general CCTD, which allows the computation of the invasion speed using the Laplace transform of the CCTD. We use this to deduce the range of speeds for the general case. We then focus on the more realistic case of multi-stage models, using both a stochastic agent-based model and a set of reaction-diffusion equations for the cells' average density. By studying the corresponding travelling wave solutions, we obtain an analytical expression for the speed of invasion for a general N-stage model with identical transition rates, in which case the resulting cell cycle times are Erlang distributed. We show that, for a general N-stage model, the Erlang distribution and the exponential distribution lead to the minimum and maximum invasion speed, respectively. This result allows us to determine the range of possible invasion speeds in terms of the average proliferation time for any multi-stage model." @default.
- W4301945734 created "2022-10-06" @default.
- W4301945734 creator A5006997647 @default.
- W4301945734 creator A5012514373 @default.
- W4301945734 creator A5016156401 @default.
- W4301945734 creator A5016412107 @default.
- W4301945734 creator A5041859176 @default.
- W4301945734 date "2018-06-08" @default.
- W4301945734 modified "2023-10-16" @default.
- W4301945734 title "The invasion speed of cell migration models with realistic cell cycle time distributions" @default.
- W4301945734 doi "https://doi.org/10.48550/arxiv.1806.03140" @default.
- W4301945734 hasPublicationYear "2018" @default.
- W4301945734 type Work @default.
- W4301945734 citedByCount "0" @default.
- W4301945734 crossrefType "posted-content" @default.
- W4301945734 hasAuthorship W4301945734A5006997647 @default.
- W4301945734 hasAuthorship W4301945734A5012514373 @default.
- W4301945734 hasAuthorship W4301945734A5016156401 @default.
- W4301945734 hasAuthorship W4301945734A5016412107 @default.
- W4301945734 hasAuthorship W4301945734A5041859176 @default.
- W4301945734 hasBestOaLocation W43019457341 @default.
- W4301945734 hasConcept C105795698 @default.
- W4301945734 hasConcept C11413529 @default.
- W4301945734 hasConcept C121332964 @default.
- W4301945734 hasConcept C121864883 @default.
- W4301945734 hasConcept C126255220 @default.
- W4301945734 hasConcept C127413603 @default.
- W4301945734 hasConcept C127491075 @default.
- W4301945734 hasConcept C134306372 @default.
- W4301945734 hasConcept C145437242 @default.
- W4301945734 hasConcept C146978453 @default.
- W4301945734 hasConcept C151376022 @default.
- W4301945734 hasConcept C17744445 @default.
- W4301945734 hasConcept C199539241 @default.
- W4301945734 hasConcept C204323151 @default.
- W4301945734 hasConcept C2776359362 @default.
- W4301945734 hasConcept C28826006 @default.
- W4301945734 hasConcept C33923547 @default.
- W4301945734 hasConcept C41008148 @default.
- W4301945734 hasConcept C42383842 @default.
- W4301945734 hasConcept C4292930 @default.
- W4301945734 hasConcept C45374587 @default.
- W4301945734 hasConcept C55350006 @default.
- W4301945734 hasConcept C62520636 @default.
- W4301945734 hasConcept C75235859 @default.
- W4301945734 hasConcept C80444323 @default.
- W4301945734 hasConcept C82484044 @default.
- W4301945734 hasConcept C94625758 @default.
- W4301945734 hasConcept C97937538 @default.
- W4301945734 hasConceptScore W4301945734C105795698 @default.
- W4301945734 hasConceptScore W4301945734C11413529 @default.
- W4301945734 hasConceptScore W4301945734C121332964 @default.
- W4301945734 hasConceptScore W4301945734C121864883 @default.
- W4301945734 hasConceptScore W4301945734C126255220 @default.
- W4301945734 hasConceptScore W4301945734C127413603 @default.
- W4301945734 hasConceptScore W4301945734C127491075 @default.
- W4301945734 hasConceptScore W4301945734C134306372 @default.
- W4301945734 hasConceptScore W4301945734C145437242 @default.
- W4301945734 hasConceptScore W4301945734C146978453 @default.
- W4301945734 hasConceptScore W4301945734C151376022 @default.
- W4301945734 hasConceptScore W4301945734C17744445 @default.
- W4301945734 hasConceptScore W4301945734C199539241 @default.
- W4301945734 hasConceptScore W4301945734C204323151 @default.
- W4301945734 hasConceptScore W4301945734C2776359362 @default.
- W4301945734 hasConceptScore W4301945734C28826006 @default.
- W4301945734 hasConceptScore W4301945734C33923547 @default.
- W4301945734 hasConceptScore W4301945734C41008148 @default.
- W4301945734 hasConceptScore W4301945734C42383842 @default.
- W4301945734 hasConceptScore W4301945734C4292930 @default.
- W4301945734 hasConceptScore W4301945734C45374587 @default.
- W4301945734 hasConceptScore W4301945734C55350006 @default.
- W4301945734 hasConceptScore W4301945734C62520636 @default.
- W4301945734 hasConceptScore W4301945734C75235859 @default.
- W4301945734 hasConceptScore W4301945734C80444323 @default.
- W4301945734 hasConceptScore W4301945734C82484044 @default.
- W4301945734 hasConceptScore W4301945734C94625758 @default.
- W4301945734 hasConceptScore W4301945734C97937538 @default.
- W4301945734 hasLocation W43019457341 @default.
- W4301945734 hasLocation W43019457342 @default.
- W4301945734 hasOpenAccess W4301945734 @default.
- W4301945734 hasPrimaryLocation W43019457341 @default.
- W4301945734 hasRelatedWork W2000725332 @default.
- W4301945734 hasRelatedWork W2006726788 @default.
- W4301945734 hasRelatedWork W2347357777 @default.
- W4301945734 hasRelatedWork W2542104340 @default.
- W4301945734 hasRelatedWork W2607276115 @default.
- W4301945734 hasRelatedWork W2807106846 @default.
- W4301945734 hasRelatedWork W2962991244 @default.
- W4301945734 hasRelatedWork W2965086643 @default.
- W4301945734 hasRelatedWork W4220938532 @default.
- W4301945734 hasRelatedWork W4288278665 @default.
- W4301945734 isParatext "false" @default.
- W4301945734 isRetracted "false" @default.
- W4301945734 workType "article" @default.