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Results: 1 to 20 of 104

1.

Simplified method for including spatial correlations in mean-field approximations.

Markham DC, Simpson MJ, Baker RE.

Phys Rev E Stat Nonlin Soft Matter Phys. 2013 Jun;87(6):062702. Epub 2013 Jun 10.

PMID:
23848710
[PubMed - indexed for MEDLINE]
2.

Correcting mean-field approximations for birth-death-movement processes.

Baker RE, Simpson MJ.

Phys Rev E Stat Nonlin Soft Matter Phys. 2010 Oct;82(4 Pt 1):041905. Epub 2010 Oct 5.

PMID:
21230311
[PubMed - indexed for MEDLINE]
3.

Incorporating spatial correlations into multispecies mean-field models.

Markham DC, Simpson MJ, Maini PK, Gaffney EA, Baker RE.

Phys Rev E Stat Nonlin Soft Matter Phys. 2013 Nov;88(5):052713. Epub 2013 Nov 20.

PMID:
24329302
[PubMed - indexed for MEDLINE]
4.

Comparing methods for modelling spreading cell fronts.

Markham DC, Simpson MJ, Maini PK, Gaffney EA, Baker RE.

J Theor Biol. 2014 Jul 21;353:95-103. doi: 10.1016/j.jtbi.2014.02.023. Epub 2014 Mar 12.

PMID:
24613725
[PubMed - indexed for MEDLINE]
5.

Pair approximation for lattice models with multiple interaction scales.

Ellner SP.

J Theor Biol. 2001 Jun 21;210(4):435-47.

PMID:
11403564
[PubMed - indexed for MEDLINE]
6.

Macromolecular crowding: chemistry and physics meet biology (Ascona, Switzerland, 10-14 June 2012).

Foffi G, Pastore A, Piazza F, Temussi PA.

Phys Biol. 2013 Aug 2;10(4):040301. [Epub ahead of print]

PMID:
23912807
[PubMed - as supplied by publisher]
7.

Corrected mean-field models for spatially dependent advection-diffusion-reaction phenomena.

Simpson MJ, Baker RE.

Phys Rev E Stat Nonlin Soft Matter Phys. 2011 May;83(5 Pt 1):051922. Epub 2011 May 26.

PMID:
21728586
[PubMed - indexed for MEDLINE]
8.

Analytical methods for predicting the behaviour of population models with general spatial interactions.

Filipe JA, Maule MM.

Math Biosci. 2003 May;183(1):15-35.

PMID:
12604133
[PubMed - indexed for MEDLINE]
9.

Collective motion of dimers.

Penington CJ, Korvasov√° K, Hughes BD, Landman KA.

Phys Rev E Stat Nonlin Soft Matter Phys. 2012 Nov;86(5 Pt 1):051909. Epub 2012 Nov 9.

PMID:
23214816
[PubMed - indexed for MEDLINE]
10.

A multiscale maximum entropy moment closure for locally regulated space-time point process models of population dynamics.

Raghib M, Hill NA, Dieckmann U.

J Math Biol. 2011 May;62(5):605-53. doi: 10.1007/s00285-010-0345-9. Epub 2010 May 6.

PMID:
20446087
[PubMed - indexed for MEDLINE]
11.

Modelling the movement of interacting cell populations: A moment dynamics approach.

Johnston ST, Simpson MJ, Baker RE.

J Theor Biol. 2015 Jan 30;370C:81-92. doi: 10.1016/j.jtbi.2015.01.025. [Epub ahead of print]

PMID:
25644755
[PubMed - as supplied by publisher]
Free Article
12.

A continuum approximation to an off-lattice individual-cell based model of cell migration and adhesion.

Middleton AM, Fleck C, Grima R.

J Theor Biol. 2014 Oct 21;359:220-32. doi: 10.1016/j.jtbi.2014.06.011. Epub 2014 Jun 24.

PMID:
24972155
[PubMed - in process]
13.

Cluster approximations for epidemic processes: a systematic description of correlations beyond the pair level.

Petermann T, De Los Rios P.

J Theor Biol. 2004 Jul 7;229(1):1-11.

PMID:
15178180
[PubMed - indexed for MEDLINE]
14.

Lattice-free models of cell invasion: discrete simulations and travelling waves.

Plank MJ, Simpson MJ.

Bull Math Biol. 2013 Nov;75(11):2150-66. doi: 10.1007/s11538-013-9885-7. Epub 2013 Aug 17.

PMID:
23955282
[PubMed - indexed for MEDLINE]
15.

Pair and triplet approximation of a spatial lattice population model with multiscale dispersal using Markov chains for estimating spatial autocorrelation.

Hiebeler DE, Millett NE.

J Theor Biol. 2011 Jun 21;279(1):74-82. doi: 10.1016/j.jtbi.2011.03.027. Epub 2011 Mar 30.

PMID:
21457720
[PubMed - indexed for MEDLINE]
16.

Multi-scale modeling of a wound-healing cell migration assay.

Cai AQ, Landman KA, Hughes BD.

J Theor Biol. 2007 Apr 7;245(3):576-94. Epub 2006 Oct 28.

PMID:
17188306
[PubMed - indexed for MEDLINE]
17.

Comparing approximations to spatio-temporal models for epidemics with local spread.

Filipe JA, Gibson GJ.

Bull Math Biol. 2001 Jul;63(4):603-24.

PMID:
11497160
[PubMed - indexed for MEDLINE]
18.

A stochastic model for adhesion-mediated cell random motility and haptotaxis.

Dickinson RB, Tranquillo RT.

J Math Biol. 1993;31(6):563-600.

PMID:
8376918
[PubMed - indexed for MEDLINE]
19.

Models of collective cell behaviour with crowding effects: comparing lattice-based and lattice-free approaches.

Plank MJ, Simpson MJ.

J R Soc Interface. 2012 Nov 7;9(76):2983-96. Epub 2012 Jun 13.

PMID:
22696488
[PubMed - indexed for MEDLINE]
Free PMC Article
20.

Quantifying the roles of cell motility and cell proliferation in a circular barrier assay.

Simpson MJ, Treloar KK, Binder BJ, Haridas P, Manton KJ, Leavesley DI, McElwain DL, Baker RE.

J R Soc Interface. 2013 Feb 20;10(82):20130007. doi: 10.1098/rsif.2013.0007. Print 2013 May 6.

PMID:
23427098
[PubMed - indexed for MEDLINE]
Free PMC Article
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