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Volumn 83, Issue 2, 2011, Pages

Models of collective cell spreading with variable cell aspect ratio: A motivation for degenerate diffusion models

Author keywords

[No Author keywords available]

Indexed keywords

CELL DENSITY; CELL MODELING; CELL POPULATIONS; CELL SPREADING; COLLECTIVE MOTIONS; CONTINUUM DESCRIPTION; CONTINUUM MODEL; DEGENERATE DIFFUSIONS; DIFFUSION MODEL; EXCLUSION PROCESS; EXPERIMENTAL MEASUREMENTS; INDIVIDUAL-BASED; INTERACTING AGENTS; LATTICE SITES; LINEAR DIFFUSION; LINEAR DIFFUSION EQUATION; MULTI-SCALE APPROACHES; NON-LINEAR DIFFUSIVITY; NONLINEAR DIFFUSION; POROUS MEDIA; ROD-SHAPED;

EID: 79952492547     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.83.021901     Document Type: Article
Times cited : (58)

References (48)
  • 1
    • 2342646187 scopus 로고    scopus 로고
    • Traveling Wave Model to Interpret a Wound-Healing Cell Migration Assay for Human Peritoneal Mesothelial Cells
    • DOI 10.1089/107632704323061834
    • P. K. Maini, D. L. S. McElwain, and D. I. Leavesley, Tissue Eng. 1076-3279 10.1089/107632704323061834 10, 475 (2004). (Pubitemid 38580268)
    • (2004) Tissue Engineering , vol.10 , Issue.3-4 , pp. 475-482
    • Maini, P.K.1    McElwain, D.L.S.2    Leavesley, D.I.3
  • 4
    • 0030268157 scopus 로고    scopus 로고
    • Mechanisms of corneal epithelial wound healing
    • DOI 10.1016/0009-2509(96)00299-0, PII S0009250996002990
    • H. Sheardown and Y. L. Cheng, Chem. Eng. Sci. CESCAC 0009-2509 10.1016/0009-2509(96)00299-0 51, 4517 (1996). (Pubitemid 27111601)
    • (1996) Chemical Engineering Science , vol.51 , Issue.19 , pp. 4517-4529
    • Sheardown, H.1    Cheng, Y.-L.2
  • 5
    • 37349111414 scopus 로고    scopus 로고
    • Experimental characterization and computational modelling of two-dimensional cell spreading for skeletal regeneration
    • DOI 10.1098/rsif.2007.0233, PII 866535X783486G07
    • B. G. Sengers, C. P. Please, and R. O. C. Oreffo, J. R. Soc. Interface CESCAC 1742-5689 10.1098/rsif.2007.0233 4, 1107 (2007). (Pubitemid 350303863)
    • (2007) Journal of the Royal Society Interface , vol.4 , Issue.17 , pp. 1107-1117
    • Sengers, B.G.1    Please, C.P.2    Oreffo, R.O.C.3
  • 6
    • 33846809120 scopus 로고    scopus 로고
    • Cell proliferation drives neural crest cell invasion of the intestine
    • DOI 10.1016/j.ydbio.2006.10.017, PII S0012160606013054
    • M. J. Simpson, D. C. Zhang, M. Mariani, K. A. Landman, and D. F. Newgreen, Dev. Biol. DEBIAO 0012-1606 10.1016/j.ydbio.2006.10.017 302, 553 (2007). (Pubitemid 46216272)
    • (2007) Developmental Biology , vol.302 , Issue.2 , pp. 553-568
    • Simpson, M.J.1    Zhang, D.C.2    Mariani, M.3    Landman, K.A.4    Newgreen, D.F.5
  • 7
    • 0040892330 scopus 로고    scopus 로고
    • Nonsharp travelling wave fronts in the Fisher equation with degenerate nonlinear diffusion
    • DOI 10.1016/0893-9659(96)00069-9, PII S0893965996000699
    • J. A. Sherratt and B. P. Marchant, Appl. Math. Lett. AMLEEL 0893-9659 10.1016/0893-9659(96)00069-9 9, 33 (1996). (Pubitemid 126360226)
    • (1996) Applied Mathematics Letters , vol.9 , Issue.5 , pp. 33-38
    • Sherratt, J.A.1    Marchant, B.P.2
  • 10
    • 0039872545 scopus 로고    scopus 로고
    • JMBLAJ 0303-6812 10.1007/s002850050072
    • T. P. Witelski, J. Math. Biol. JMBLAJ 0303-6812 10.1007/s002850050072 35, 695 (1997).
    • (1997) J. Math. Biol. , vol.35 , pp. 695
    • Witelski, T.P.1
  • 11
    • 0016753474 scopus 로고
    • JTBIAP 0022-5193 10.1016/0022-5193(75)90011-9
    • W. S. C. Gurney and R. M. Nisbet, J. Theor. Biol. JTBIAP 0022-5193 10.1016/0022-5193(75)90011-9 52, 441 (1975).
    • (1975) J. Theor. Biol. , vol.52 , pp. 441
    • Gurney, W.S.C.1    Nisbet, R.M.2
  • 12
    • 0016913539 scopus 로고
    • JTBIAP 0022-5193 10.1016/S0022-5193(76)80056-2
    • W. S. C. Gurney and R. M. Nisbet, J. Theor. Biol. JTBIAP 0022-5193 10.1016/S0022-5193(76)80056-2 56, 249 (1976).
    • (1976) J. Theor. Biol. , vol.56 , pp. 249
    • Gurney, W.S.C.1    Nisbet, R.M.2
  • 13
    • 0000601221 scopus 로고
    • ECOLAR 0012-9658 10.2307/1937623
    • E. A. Carl, Ecology ECOLAR 0012-9658 10.2307/1937623 52, 595 (1971).
    • (1971) Ecology , vol.52 , pp. 595
    • Carl, E.A.1
  • 15
  • 16
    • 0000169258 scopus 로고
    • JDEQAK 0022-0396 10.1006/jdeq.1995.1055
    • F. Sánchez Garduño and P. K. Maini, J. Diff. Eq. JDEQAK 0022-0396 10.1006/jdeq.1995.1055 117, 281 (1995).
    • (1995) J. Diff. Eq. , vol.117 , pp. 281
    • Sánchez Garduño, F.1    Maini, P.K.2
  • 17
    • 58149320306 scopus 로고
    • AMLEEL 0893-9659 10.1016/0893-9659(95)00047-T
    • T. P. Witelski, Appl. Math. Lett. AMLEEL 0893-9659 10.1016/0893-9659(95) 00047-T 8, 57 (1995).
    • (1995) Appl. Math. Lett. , vol.8 , pp. 57
    • Witelski, T.P.1
  • 18
    • 3042528258 scopus 로고    scopus 로고
    • Fisher equation with density-dependent diffusion: Special solutions
    • DOI 10.1088/0305-4470/37/24/005, PII S0305447004798194
    • S. Harris, J. Phys. A: Math. Gen. JPHAC5 0305-4470 10.1088/0305-4470/37/ 24/005 37, 6267 (2004). (Pubitemid 38846248)
    • (2004) Journal of Physics A: Mathematical and General , vol.37 , Issue.24 , pp. 6267-6268
    • Harris, S.1
  • 20
    • 33750443228 scopus 로고    scopus 로고
    • Looking inside an invasion wave of cells using continuum models: Proliferation is the key
    • DOI 10.1016/j.jtbi.2006.06.021, PII S0022519306002554
    • M. J. Simpson, K. A. Landman, B. D. Hughes, and D. F. Newgreen, J. Theor. Biol. JTBIAP 0022-5193 10.1016/j.jtbi.2006.06.021 243, 343 (2006). (Pubitemid 44647320)
    • (2006) Journal of Theoretical Biology , vol.243 , Issue.3 , pp. 343-360
    • Simpson, M.J.1    Landman, K.A.2    Hughes, B.D.3    F. Newgreen, D.4
  • 22
    • 57349137121 scopus 로고    scopus 로고
    • PHYADX 0378-4371 10.1016/j.physa.2008.10.038
    • M. J. Simpson, K. A. Landman, and B. D. Hughes, Physica A PHYADX 0378-4371 10.1016/j.physa.2008.10.038 388, 399 (2009).
    • (2009) Physica A , vol.388 , pp. 399
    • Simpson, M.J.1    Landman, K.A.2    Hughes, B.D.3
  • 24
    • 77955306670 scopus 로고    scopus 로고
    • PHYADX 0378-4371 10.1016/j.physa.2010.05.020
    • M. J. Simpson, K. A. Landman, and B. D. Hughes, Physica A PHYADX 0378-4371 10.1016/j.physa.2010.05.020 389, 3779 (2010).
    • (2010) Physica A , vol.389 , pp. 3779
    • Simpson, M.J.1    Landman, K.A.2    Hughes, B.D.3
  • 30
    • 28844464300 scopus 로고    scopus 로고
    • Physics of transport and traffic phenomena in biology: From molecular motors and cells to organisms
    • DOI 10.1016/j.plrev.2005.09.001, PII S1571064505000321
    • D. Chowdhury, A. Schadschneider, and K. Nishinari, Phys. Life Rev. EULEEJ 1571-0645 10.1016/j.plrev.2005.09.001 2, 318 (2005). (Pubitemid 41762628)
    • (2005) Physics of Life Reviews , vol.2 , Issue.4 , pp. 318-352
    • Chowdhury, D.1    Schadschneider, A.2    Nishinari, K.3
  • 37
    • 78651300667 scopus 로고    scopus 로고
    • PLEEE8 1539-3755 10.1103/PhysRevE.82.041905
    • R. E. Baker and M. J. Simpson, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.82.041905 82, 041905 (2010).
    • (2010) Phys. Rev. E , vol.82 , pp. 041905
    • Baker, R.E.1    Simpson, M.J.2
  • 39
    • 23744513349 scopus 로고    scopus 로고
    • Assessment of a non-traditional operator split algorithm for simulation of reactive transport
    • DOI 10.1016/j.matcom.2005.03.019, PII S0378475405001072
    • M. J. Simpson, K. A. Landman, and T. P. Clement, Math. Comput. Simul. MCSIDR 0378-4754 10.1016/j.matcom.2005.03.019 70, 44 (2005). (Pubitemid 41119025)
    • (2005) Mathematics and Computers in Simulation , vol.70 , Issue.1 , pp. 44-60
    • Simpson, M.J.1    Landman, K.A.2    Clement, T.P.3
  • 41
    • 33645429016 scopus 로고
    • JPCHAX 0022-3654 10.1021/j100540a008
    • D. T. Gillespie, J. Phys. Chem. JPCHAX 0022-3654 10.1021/j100540a008 81, 2340 (1977).
    • (1977) J. Phys. Chem. , vol.81 , pp. 2340
    • Gillespie, D.T.1
  • 45
    • 31044444895 scopus 로고    scopus 로고
    • On a functional equation model of transient cell growth
    • DOI 10.1093/imammb/dqi015
    • R. Begg, D. J. N. Wall, and G. C. Wake, Math. Med. Biol. PBIMAC 1477-8599 10.1093/imammb/dqi015 22, 371 (2005). (Pubitemid 43118446)
    • (2005) Mathematical Medicine and Biology , vol.22 , Issue.4 , pp. 371-390
    • Begg, R.1    Wall, D.J.N.2    Wake, G.C.3
  • 46
    • 0000135489 scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.69.2013
    • F. Graner and J. A. Glazier, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.69.2013 69, 2013 (1992).
    • (1992) Phys. Rev. Lett. , vol.69 , pp. 2013
    • Graner, F.1    Glazier, J.A.2
  • 48
    • 57749101104 scopus 로고    scopus 로고
    • PLEEE8 1539-3755 10.1103/PhysRevE.78.061904
    • P. M. Lushnikov, N. Chen, and M. Alber, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.78.061904 78, 061904 (2008).
    • (2008) Phys. Rev. E , vol.78 , pp. 061904
    • Lushnikov, P.M.1    Chen, N.2    Alber, M.3


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