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Items: 1 to 20 of 98

1.

Multiscale modelling of vascular tumour growth in 3D: the roles of domain size and boundary conditions.

Perfahl H, Byrne HM, Chen T, Estrella V, Alarcón T, Lapin A, Gatenby RA, Gillies RJ, Lloyd MC, Maini PK, Reuss M, Owen MR.

PLoS One. 2011 Apr 13;6(4):e14790. doi: 10.1371/journal.pone.0014790.

2.

Mathematical modelling of flow through vascular networks: implications for tumour-induced angiogenesis and chemotherapy strategies.

McDougall SR, Anderson AR, Chaplain MA, Sherratt JA.

Bull Math Biol. 2002 Jul;64(4):673-702.

PMID:
12216417
3.

Angiogenesis and vascular remodelling in normal and cancerous tissues.

Owen MR, Alarcón T, Maini PK, Byrne HM.

J Math Biol. 2009 Apr;58(4-5):689-721. doi: 10.1007/s00285-008-0213-z. Epub 2008 Oct 22.

PMID:
18941752
4.

Vascular remodelling of an arterio-venous blood vessel network during solid tumour growth.

Welter M, Bartha K, Rieger H.

J Theor Biol. 2009 Aug 7;259(3):405-22. doi: 10.1016/j.jtbi.2009.04.005. Epub 2009 Apr 14.

PMID:
19371750
5.

Multiscale modelling and nonlinear simulation of vascular tumour growth.

Macklin P, McDougall S, Anderson AR, Chaplain MA, Cristini V, Lowengrub J.

J Math Biol. 2009 Apr;58(4-5):765-98. doi: 10.1007/s00285-008-0216-9. Epub 2008 Sep 10.

6.

Coupled modelling of tumour angiogenesis, tumour growth and blood perfusion.

Cai Y, Xu S, Wu J, Long Q.

J Theor Biol. 2011 Jun 21;279(1):90-101. doi: 10.1016/j.jtbi.2011.02.017. Epub 2011 Mar 12.

PMID:
21392511
7.

The role of mechanical host-tumour interactions in the collapse of tumour blood vessels and tumour growth dynamics.

Araujo RP, McElwain DL.

J Theor Biol. 2006 Feb 21;238(4):817-27. Epub 2005 Dec 27.

PMID:
16384586
8.

Mathematical models for tumour angiogenesis: numerical simulations and nonlinear wave solutions.

Byrne HM, Chaplain MA.

Bull Math Biol. 1995 May;57(3):461-86.

PMID:
7537141
9.

Mathematical modelling of dynamic adaptive tumour-induced angiogenesis: clinical implications and therapeutic targeting strategies.

McDougall SR, Anderson AR, Chaplain MA.

J Theor Biol. 2006 Aug 7;241(3):564-89. Epub 2006 Feb 17.

PMID:
16487543
10.

Multiphase modelling of vascular tumour growth in two spatial dimensions.

Hubbard ME, Byrne HM.

J Theor Biol. 2013 Jan 7;316:70-89. doi: 10.1016/j.jtbi.2012.09.031. Epub 2012 Sep 29.

PMID:
23032218
11.

Lattice and non-lattice models of tumour angiogenesis.

Plank MJ, Sleeman BD.

Bull Math Biol. 2004 Nov;66(6):1785-819.

PMID:
15522355
12.

Vascular endothelial growth factor reduces mural cell coverage of endothelial cells and induces sprouting rather than luminal division in an HT1080 tumour angiogenesis model.

Fujimoto A, Onodera H, Mori A, Isobe N, Yasuda S, Oe H, Yonenaga Y, Tachibana T, Imamura M.

Int J Exp Pathol. 2004 Dec;85(6):355-64.

13.

Modelling the effects of cell-cycle heterogeneity on the response of a solid tumour to chemotherapy: biological insights from a hybrid multiscale cellular automaton model.

Powathil GG, Gordon KE, Hill LA, Chaplain MA.

J Theor Biol. 2012 Sep 7;308:1-19. doi: 10.1016/j.jtbi.2012.05.015. Epub 2012 May 29.

PMID:
22659352
14.

Stochastic geometric models, and related statistical issues in tumour-induced angiogenesis.

Capasso V, Micheletti A, Morale D.

Math Biosci. 2008 Jul-Aug;214(1-2):20-31. doi: 10.1016/j.mbs.2008.03.009. Epub 2008 Apr 6.

PMID:
18556027
15.

Oscillatory dynamics in a model of vascular tumour growth--implications for chemotherapy.

Stamper IJ, Owen MR, Maini PK, Byrne HM.

Biol Direct. 2010 Apr 20;5:27. doi: 10.1186/1745-6150-5-27.

16.

Physical determinants of vascular network remodeling during tumor growth.

Welter M, Rieger H.

Eur Phys J E Soft Matter. 2010 Oct;33(2):149-63. doi: 10.1140/epje/i2010-10611-6. Epub 2010 Jul 6.

PMID:
20607341
17.

A hybrid mathematical model of solid tumour invasion: the importance of cell adhesion.

Anderson AR.

Math Med Biol. 2005 Jun;22(2):163-86. Epub 2005 Mar 21.

PMID:
15781426
18.

Towards whole-organ modelling of tumour growth.

Alarcón T, Byrne HM, Maini PK.

Prog Biophys Mol Biol. 2004 Jun-Jul;85(2-3):451-72. Review.

PMID:
15142757
19.

A heterogeneous in vitro three dimensional model of tumour-stroma interactions regulating sprouting angiogenesis.

Correa de Sampaio P, Auslaender D, Krubasik D, Failla AV, Skepper JN, Murphy G, English WR.

PLoS One. 2012;7(2):e30753. doi: 10.1371/journal.pone.0030753. Epub 2012 Feb 20.

20.

The mathematical modelling of tumour angiogenesis and invasion.

Chaplain MA.

Acta Biotheor. 1995 Dec;43(4):387-402.

PMID:
8919350
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