A continuum approximation to an off-lattice individual-cell based model of cell migration and adhesion
Cell-cell adhesion plays a key role in the collective migration of cells and in determining correlations in the relative cell positions and velocities. Recently, it was demonstrated that off-lattice individual cell based models (IBMs) can accurately capture the correlations observed experimentally i...
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
24 June 2014
|
| In: |
Journal of theoretical biology
Year: 2014, Jahrgang: 359, Pages: 220-232 |
| ISSN: | 1095-8541 |
| DOI: | 10.1016/j.jtbi.2014.06.011 |
| Online-Zugang: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1016/j.jtbi.2014.06.011 Verlag, lizenzpflichtig, Volltext: http://www.sciencedirect.com/science/article/pii/S0022519314003543 
|
| Verfasserangaben: | Alistair M. Middleton, Christian Fleck, Ramon Grima |
MARC
| LEADER | 00000caa a2200000 c 4500 | ||
|---|---|---|---|
| 001 | 1703735927 | ||
| 003 | DE-627 | ||
| 005 | 20220818142240.0 | ||
| 007 | cr uuu---uuuuu | ||
| 008 | 200706s2014 xx |||||o 00| ||eng c | ||
| 024 | 7 | |a 10.1016/j.jtbi.2014.06.011 |2 doi | |
| 035 | |a (DE-627)1703735927 | ||
| 035 | |a (DE-599)KXP1703735927 | ||
| 035 | |a (OCoLC)1341344556 | ||
| 040 | |a DE-627 |b ger |c DE-627 |e rda | ||
| 041 | |a eng | ||
| 084 | |a 32 |2 sdnb | ||
| 100 | 1 | |a Middleton, Alistair |e VerfasserIn |0 (DE-588)1115191179 |0 (DE-627)869496085 |0 (DE-576)477633714 |4 aut | |
| 245 | 1 | 2 | |a A continuum approximation to an off-lattice individual-cell based model of cell migration and adhesion |c Alistair M. Middleton, Christian Fleck, Ramon Grima |
| 264 | 1 | |c 24 June 2014 | |
| 300 | |a 13 | ||
| 336 | |a Text |b txt |2 rdacontent | ||
| 337 | |a Computermedien |b c |2 rdamedia | ||
| 338 | |a Online-Ressource |b cr |2 rdacarrier | ||
| 500 | |a Gesehen am 06.07.2020 | ||
| 520 | |a Cell-cell adhesion plays a key role in the collective migration of cells and in determining correlations in the relative cell positions and velocities. Recently, it was demonstrated that off-lattice individual cell based models (IBMs) can accurately capture the correlations observed experimentally in a migrating cell population. However, IBMs are often computationally expensive and difficult to analyse mathematically. Traditional continuum-based models, in contrast, are amenable to mathematical analysis and are computationally less demanding, but typically correspond to a mean-field approximation of cell migration and so ignore cell-cell correlations. In this work, we address this problem by using an off-lattice IBM to derive a continuum approximation which does take into account correlations. We furthermore show that a mean-field approximation of the off-lattice IBM leads to a single partial integro-differential equation of the same form as proposed by Sherratt and co-workers to model cell adhesion. The latter is found to be only effective at approximating the ensemble averaged cell number density when mechanical interactions between cells are weak. In contrast, the predictions of our novel continuum model for the time-evolution of the ensemble cell number density distribution and of the density-density correlation function are in close agreement with those obtained from the IBM for a wide range of mechanical interaction strengths. In particular, we observe ‘front-like’ propagation of cells in simulations using both our IBM and our continuum model, but not in the continuum model simulations obtained using the mean-field approximation. | ||
| 650 | 4 | |a Cell movement | |
| 650 | 4 | |a Correlations | |
| 650 | 4 | |a Langevin equations | |
| 650 | 4 | |a Partial differential equations | |
| 650 | 4 | |a Stochastic simulations | |
| 700 | 1 | |a Fleck, Christian |d 1979- |e VerfasserIn |0 (DE-588)14099467X |0 (DE-627)623815222 |0 (DE-576)321707907 |4 aut | |
| 700 | 1 | |a Grima, Ramon |e VerfasserIn |0 (DE-588)1213255384 |0 (DE-627)1703735668 |4 aut | |
| 773 | 0 | 8 | |i Enthalten in |t Journal of theoretical biology |d Amsterdam : Elsevier Ltd., 1961 |g 359(2014), Seite 220-232 |h Online-Ressource |w (DE-627)267838204 |w (DE-600)1470953-3 |w (DE-576)104344636 |x 1095-8541 |7 nnas |a A continuum approximation to an off-lattice individual-cell based model of cell migration and adhesion |
| 773 | 1 | 8 | |g volume:359 |g year:2014 |g pages:220-232 |g extent:13 |a A continuum approximation to an off-lattice individual-cell based model of cell migration and adhesion |
| 856 | 4 | 0 | |u https://doi.org/10.1016/j.jtbi.2014.06.011 |x Verlag |x Resolving-System |z lizenzpflichtig |3 Volltext |
| 856 | 4 | 0 | |u http://www.sciencedirect.com/science/article/pii/S0022519314003543 |x Verlag |z lizenzpflichtig |3 Volltext |
| 951 | |a AR | ||
| 992 | |a 20200706 | ||
| 993 | |a Article | ||
| 994 | |a 2014 | ||
| 998 | |g 1115191179 |a Middleton, Alistair |m 1115191179:Middleton, Alistair |d 700000 |d 708000 |e 700000PM1115191179 |e 708000PM1115191179 |k 0/700000/ |k 1/700000/708000/ |p 1 |x j | ||
| 999 | |a KXP-PPN1703735927 |e 369577570X | ||
| BIB | |a Y | ||
| SER | |a journal | ||
| JSO | |a {"note":["Gesehen am 06.07.2020"],"type":{"bibl":"article-journal","media":"Online-Ressource"},"language":["eng"],"recId":"1703735927","person":[{"role":"aut","display":"Middleton, Alistair","roleDisplay":"VerfasserIn","given":"Alistair","family":"Middleton"},{"given":"Christian","family":"Fleck","role":"aut","display":"Fleck, Christian","roleDisplay":"VerfasserIn"},{"role":"aut","roleDisplay":"VerfasserIn","display":"Grima, Ramon","given":"Ramon","family":"Grima"}],"title":[{"title":"A continuum approximation to an off-lattice individual-cell based model of cell migration and adhesion","title_sort":"continuum approximation to an off-lattice individual-cell based model of cell migration and adhesion"}],"physDesc":[{"extent":"13 S."}],"relHost":[{"physDesc":[{"extent":"Online-Ressource"}],"id":{"issn":["1095-8541"],"zdb":["1470953-3"],"eki":["267838204"]},"origin":[{"publisherPlace":"Amsterdam ; London [u.a.]","publisher":"Elsevier Ltd. ; Academic Press","dateIssuedKey":"1961","dateIssuedDisp":"1961-"}],"language":["eng"],"recId":"267838204","type":{"bibl":"periodical","media":"Online-Ressource"},"note":["Gesehen am 22.09.2021"],"disp":"A continuum approximation to an off-lattice individual-cell based model of cell migration and adhesionJournal of theoretical biology","part":{"volume":"359","text":"359(2014), Seite 220-232","extent":"13","year":"2014","pages":"220-232"},"pubHistory":["1.1961 - 267.2010; Vol. 268.2011 -"],"title":[{"title":"Journal of theoretical biology","title_sort":"Journal of theoretical biology"}]}],"name":{"displayForm":["Alistair M. Middleton, Christian Fleck, Ramon Grima"]},"origin":[{"dateIssuedDisp":"24 June 2014","dateIssuedKey":"2014"}],"id":{"doi":["10.1016/j.jtbi.2014.06.011"],"eki":["1703735927"]}} | ||
| SRT | |a MIDDLETONACONTINUUMA2420 | ||