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Volumn 21, Issue SUPPL. 1, 2011, Pages 871-892

An in vitro cell population dynamics model incorporating cell size, quiescence, and contact inhibition

Author keywords

cell colonies; cell cycle; Cell population dynamics; contact inhibition; spatial motion

Indexed keywords

CELL COLONIES; CELL CYCLE; CELL POPULATION DYNAMICS; CONTACT INHIBITION; SPATIAL MOTIONS;

EID: 79955984497     PISSN: 02182025     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218202511005404     Document Type: Article
Times cited : (26)

References (56)
  • 1
    • 3042594418 scopus 로고    scopus 로고
    • A mathematical model of the effects of hypoxia on the cell-cycle of normal and cancer cells
    • DOI 10.1016/j.jtbi.2004.04.016, PII S0022519304001493
    • T. Alarcón, H. Byrne and P. Maini, A mathematical model of the effects of hypoxia on the cell-cycle of normal and cancer cells, J. Theor. Biol. 229 (2004) 395-411. (Pubitemid 38844943)
    • (2004) Journal of Theoretical Biology , vol.229 , Issue.3 , pp. 395-411
    • Alarcon, T.1    Byrne, H.M.2    Maini, P.K.3
  • 2
    • 3843079723 scopus 로고    scopus 로고
    • A history of the study of solid tumour growth: The contribution of mathematical modelling
    • R. Araujo and D. McElwain, A history of the study of solid tumour growth: The contribution of mathematical modelling, Bull. Math. Biol. 66 (2003) 1039-1097.
    • (2003) Bull. Math. Biol. , vol.66 , pp. 1039-1097
    • Araujo, R.1    McElwain, D.2
  • 3
    • 33749069471 scopus 로고    scopus 로고
    • A continuum approach to modelling cell-cell adhesion
    • DOI 10.1016/j.jtbi.2006.05.030, PII S0022519306002268
    • N. J. Armstrong, K. J. Painter and J. A. Sherratt, A continuum approach to modelling cell-cell adhesion, J. Theor. Biol. 243 (2006) 98-113. (Pubitemid 44465967)
    • (2006) Journal of Theoretical Biology , vol.243 , Issue.1 , pp. 98-113
    • Armstrong, N.J.1    Painter, K.J.2    Sherratt, J.A.3
  • 4
    • 58149188099 scopus 로고    scopus 로고
    • Adding adhesion to a chemical signalling model for somite formation
    • N. J. Armstrong, K. J. Painter and J. A. Sherratt, Adding adhesion to a chemical signalling model for somite formation, Bull. Math. Biol. 71 (2009) 1-24.
    • (2009) Bull. Math. Biol. , vol.71 , pp. 1-24
    • Armstrong, N.J.1    Painter, K.J.2    Sherratt, J.A.3
  • 6
    • 54049101941 scopus 로고    scopus 로고
    • From the mathematical kinetic, and stochastic game theory to modelling mutations, onset, progression and immune competition of cancer cells
    • N. Bellomo and M. Delitala, From the mathematical kinetic, and stochastic game theory to modelling mutations, onset, progression and immune competition of cancer cells, Phys. Life Rev. 5 (2008) 183-206.
    • (2008) Phys. Life Rev. , vol.5 , pp. 183-206
    • Bellomo, N.1    Delitala, M.2
  • 7
    • 44349107599 scopus 로고    scopus 로고
    • On the foundations of cancer modelling: Selected topics, speculations, and perspectives
    • DOI 10.1142/S0218202508002796, PII S0218202508002796
    • N. Bellomo, N. Li and P. Maini, On the foundations of cancer modelling: Selected topics, speculations, and perspectives, Math. Models Methods Appl. Sci. 18 (2008) 593-646. (Pubitemid 351730142)
    • (2008) Mathematical Models and Methods in Applied Sciences , vol.18 , Issue.4 , pp. 593-646
    • Bellomo, N.1    Li, N.K.2    Maini, P.K.3
  • 9
    • 77955073610 scopus 로고    scopus 로고
    • A free boundary problem arising in a simplified tumour growth model of contact inhibition
    • M. Bertsch, R. Dal Passo and M. Mimura, A free boundary problem arising in a simplified tumour growth model of contact inhibition, Interfaces Free Bound. 12 (2010) 235-250.
    • (2010) Interfaces Free Bound. , vol.12 , pp. 235-250
    • Bertsch, M.1    Dal R. Passo2    Mimura, M.3
  • 11
    • 33750099897 scopus 로고    scopus 로고
    • Mathematical modelling of the loss of tissue compression responsiveness and its role in solid tumour development
    • DOI 10.1093/imammb/dql009
    • M. Chaplain, L. Graziano and L. Preziosi, Mathematical modelling of the loss of tissue compression responsiveness and its role in solid tumour development, Math. Med. Biol. 23 (2006) 197-229. (Pubitemid 44592715)
    • (2006) Mathematical Medicine and Biology , vol.23 , Issue.3 , pp. 197-229
    • Chaplain, M.A.J.1    Graziano, L.2    Preziosi, L.3
  • 12
    • 0034353709 scopus 로고    scopus 로고
    • A Free Boundary Problem Arising in a Model of Wound Healing
    • DOI 10.1137/S0036141099351693
    • X. Chen and A. Friedman, A free boundary problem arising in a model of wound healing, SIAM J. Math. Anal. 32 (2000) 778-800. (Pubitemid 33304983)
    • (2000) SIAM Journal on Mathematical Analysis , vol.32 , Issue.4 , pp. 778-800
    • Chen, X.1    Friedman, A.2
  • 14
    • 0030597511 scopus 로고    scopus 로고
    • Pattern formation by lateral inhibition with feedback: A mathematical model of delta-notch intercellular signalling
    • DOI 10.1006/jtbi.1996.0233
    • J. Collier, N. Monk, P. Maini and J. Lewis, Pattern formation by lateral inhibition with feedback: A mathematical model of delta notch intercellular signalling, J. Theor. Biol. 183 (1996) 429-446. (Pubitemid 27033749)
    • (1996) Journal of Theoretical Biology , vol.183 , Issue.4 , pp. 429-446
    • Collier, J.R.1    Monk, N.A.M.2    Maini, P.K.3    Lewis, J.H.4
  • 15
    • 84967800050 scopus 로고
    • Local vanish properties of solutions of elliptic and parabolic quasilinear equations
    • J. I. Diaz and L. Veron, Local vanish properties of solutions of elliptic and parabolic quasilinear equations, Trans. Amer. Math. Soc. 290 (1985) 787-814.
    • (1985) Trans. Amer. Math. Soc. , vol.290 , pp. 787-814
    • Diaz, J.I.1    Veron, L.2
  • 18
    • 77956093311 scopus 로고    scopus 로고
    • Existence and asymptotic properties of solutions of a nonlocal evolution equation modelling cell-cell adhesion
    • J. Dyson, S. A. Gourley, R. Villella-Bressan and G. Webb, Existence and asymptotic properties of solutions of a nonlocal evolution equation modelling cell-cell adhesion, SIAM J. Math. Anal. 42 (2010) 1784-1804.
    • (2010) SIAM J. Math. Anal. , vol.42 , pp. 1784-1804
    • Dyson, J.1    Gourley, S.A.2    Villella R.-Bressan3    Webb, G.4
  • 19
    • 0036240038 scopus 로고    scopus 로고
    • Asynchronous exponential growth in an age structured population of proliferating and quiescent cells
    • DOI 10.1016/S0025-5564(01)00097-9, PII S0025556401000979
    • J. Dyson, R. Villella-Bressan and G. Webb, Asynchronous exponential growth in an age structured population of proliferating and quiescent cells, Math. Biosci. 177{178 (2002) 73-83. (Pubitemid 34457384)
    • (2002) Mathematical Biosciences , vol.177-178 , pp. 73-83
    • Dyson, J.1    Villella-Bressan, R.2    Webb, G.F.3
  • 20
    • 53549126395 scopus 로고    scopus 로고
    • A spatially structured model of tumor growth with cell age, cell size and mutation of cell phenotypes
    • J. Dyson, R. Villella-Bressan and G. Webb, A spatially structured model of tumor growth with cell age, cell size and mutation of cell phenotypes, Math. Model. Nat. Phenom. 2 (2008) 69-100.
    • (2008) Math. Model. Nat. Phenom. , vol.2 , pp. 69-100
    • Dyson, J.1    Villella R.-Bressan2    Webb, G.3
  • 21
    • 37049251927 scopus 로고
    • Cellular growth, contact inhibition, and macromolecular synthesis
    • H. Eagle, E. M. Levine and C. W. Boone, Cellular growth, contact inhibition, and macromolecular synthesis, Science 148 (1965) 665.
    • (1965) Science , vol.148 , pp. 665
    • Eagle, H.1    Levine, E.M.2    Boone, C.W.3
  • 23
    • 68349097461 scopus 로고    scopus 로고
    • Contact inhibition of growth described using a multiphase model and an individual cell based model
    • J. Galle, L. Preziosi and A. Tosin, Contact inhibition of growth described using a multiphase model and an individual cell based model, Appl. Math. Lett. 22 (2009) 1483-1490.
    • (2009) Appl. Math. Lett. , vol.22 , pp. 1483-1490
    • Galle, J.1    Preziosi, L.2    Tosin, A.3
  • 24
    • 67349084826 scopus 로고    scopus 로고
    • Concentration in the nonlocal Fisher equation: The Hamilton-Jacobi limit
    • B. Perthame and S. Génieys, Concentration in the nonlocal Fisher equation: The Hamilton-Jacobi limit, Math. Model. Nat. Phenom. 2 (2007) 135-151.
    • (2007) Math. Model. Nat. Phenom. , vol.2 , pp. 135-151
    • Perthame, B.1    Génieys, S.2
  • 25
    • 38649104788 scopus 로고    scopus 로고
    • Mathematical modelling of cancer cell invasion of tissue: Local and nonlocal models and the effect of adhesion
    • A. Gerisch and M. A. J. Chaplain, Mathematical modelling of cancer cell invasion of tissue: Local and nonlocal models and the effect of adhesion, J. Theor. Biol. 250 (2008) 684-704.
    • (2008) J. Theor. Biol. , vol.250 , pp. 684-704
    • Gerisch, A.1    Chaplain, M.A.J.2
  • 27
    • 0025687227 scopus 로고
    • A nonlinear structured population model of tumor growth with quiescence
    • M. Gyllenberg and G. Webb, A nonlinear structured population model of tumor growth with quiescence, J. Math. Biol. 28 (1990) 671-694.
    • (1990) J. Math. Biol. , vol.28 , pp. 671-694
    • Gyllenberg, M.1    Webb, G.2
  • 29
    • 0034614637 scopus 로고    scopus 로고
    • The hallmarks of cancer
    • D. Hanahan and R. A. Weinberg, The hallmarks of cancer, Cell 100 (2000) 57-70. (Pubitemid 30046295)
    • (2000) Cell , vol.100 , Issue.1 , pp. 57-70
    • Hanahan, D.1    Weinberg, R.A.2
  • 30
    • 0004407733 scopus 로고
    • The dynamical behaviour of the age-size-distribution of a cell population
    • Springer Lecture Notes in Biomathematics (Springer
    • H. Heijmans, The dynamical behaviour of the age-size-distribution of a cell population, in The Dynamics of Physiologically Structured Populations, Springer Lecture Notes in Biomathematics, Vol. 68 (Springer, 1986), pp. 185-202.
    • (1986) The Dynamics of Physiologically Structured Populations , vol.68 , pp. 185-202
    • Heijmans, H.1
  • 32
    • 71549132496 scopus 로고    scopus 로고
    • Proteus mirabilis swarm-colony development with drift
    • P. Laurençot and C. Walker, Proteus mirabilis swarm-colony development with drift, J. Math. Pures Appl. 92 (2009) 476-498.
    • (2009) J. Math. Pures Appl. , vol.92 , pp. 476-498
    • Laurençot, P.1    Walker, C.2
  • 34
    • 0015581634 scopus 로고
    • Contact inhibition of what? An analytical review
    • E. Martz and M. S. Steinberg, Contact inhibition of what? An analytical review, J. Cell Physiol. 81 (1973) 25-37.
    • (1973) J. Cell Physiol. , vol.81 , pp. 25-37
    • Martz, E.1    Steinberg, M.S.2
  • 35
    • 77953539835 scopus 로고    scopus 로고
    • Keeping in touch with contact inhibition of locomotion
    • R. Mayor and C. Carmona-Fontaine, Keeping in touch with contact inhibition of locomotion, Trends Cell Biol. 20 (2010) 319-328.
    • (2010) Trends Cell Biol. , vol.20 , pp. 319-328
    • Mayor, R.1    Carmona C.-Fontaine2
  • 37
    • 51349116743 scopus 로고    scopus 로고
    • Reaction-diffusion system approximation to degenerate parabolic systems
    • H. Murakawa, Reaction-diffusion system approximation to degenerate parabolic systems, Nonlinearity 20 (2007) 2319-2332.
    • (2007) Nonlinearity , vol.20 , pp. 2319-2332
    • Murakawa, H.1
  • 38
    • 0020609460 scopus 로고
    • A mechanical model for mesenchymal morphogenesis
    • J. Murray, G. Oster and A. Harris, A mechanical model for mesenchymal morphogenesis, J. Math. Biol. 17 (1983) 125-136.
    • (1983) J. Math. Biol. , vol.17 , pp. 125-136
    • Murray, J.1    Oster, G.2    Harris, A.3
  • 39
    • 79251540574 scopus 로고    scopus 로고
    • Consequences of cell-to-cell P-glycoprotein transfer on acquired multidrug resistance in breast cancer: A cell population dynamics model
    • in press
    • J. Pasquier, P. Magal, C. Boulangé-Lecomte, G. Webb and F. Le Foll, Consequences of cell-to-cell P-glycoprotein transfer on acquired multidrug resistance in breast cancer: A cell population dynamics model, Biol. Direct, in press.
    • Biol. Direct
    • Pasquier, J.1    Magal, P.2    Boulangé-Lecomte, C.3    Webb, G.4    Le Foll, F.5
  • 41
    • 21244468953 scopus 로고    scopus 로고
    • Mathematical modeling of cancer: The future of prognosis and treatment
    • DOI 10.1016/j.cccn.2005.03.023, PII S0009898105001944, Clinical Proteomics: Translation of New Insights into Clinical Practice
    • V. Quaranta, A. Weaver, P. Cummings and A. Anderson, Mathematical modeling of cancer: The future of prognosis and treatment, Clinica Chimica Acta 357 (2005) 173-179. (Pubitemid 40884597)
    • (2005) Clinica Chimica Acta , vol.357 , Issue.2 , pp. 173-179
    • Quaranta, V.1    Weaver, A.M.2    Cummings, P.T.3    Anderson, A.R.A.4
  • 42
    • 48349122161 scopus 로고    scopus 로고
    • Invasion emerges from cancer cell adaptation to competitive microenvironments: Quantitative predictions from multiscale mathematical models
    • V. Quaranta, K. Rejniak, P. Gerlee and A. Anderson, Invasion emerges from cancer cell adaptation to competitive microenvironments: Quantitative predictions from multiscale mathematical models, Sem. Can. Biol. 18 (2008) 338-348.
    • (2008) Sem. Can. Biol. , vol.18 , pp. 338-348
    • Quaranta, V.1    Rejniak, K.2    Gerlee, P.3    Anderson, A.4
  • 43
    • 34249980052 scopus 로고    scopus 로고
    • Mathematical models of avascular tumor growth
    • DOI 10.1137/S0036144504446291
    • T. Roose, S. J. Chapman and P. K. Maini, Mathematical models of avascular tumor growth, SIAM Rev. 49 (2007) 179-208. (Pubitemid 46888016)
    • (2007) SIAM Review , vol.49 , Issue.2 , pp. 179-208
    • Roose, T.1    Chapman, S.J.2    Maini, P.K.3
  • 44
    • 0010879080 scopus 로고
    • Asynchronous exponential growth in a size structured cell population with quiescent compartment
    • eds. O. Arino et al. (Wuerz Pub
    • B. Rossa, Asynchronous exponential growth in a size structured cell population with quiescent compartment, in Mathematical Population Dynamics: Analysis of Homogeneity, eds. O. Arino et al. (Wuerz Pub., 1995).
    • (1995) Mathematical Population Dynamics: Analysis of Homogeneity
    • Rossa, B.1
  • 45
    • 33746385819 scopus 로고    scopus 로고
    • Wavefront propagation in a competition equation with a new motility term modelling contact inhibition between cell populations
    • J. A. Sherratt, Wavefront propagation in a competition equation with a new motility term modelling contact inhibition between cell populations, R. Soc. Lond. Proc. Ser. A Math. Phys. Engrg. Sci. 456 (2000) 2365-2386.
    • (2000) R. Soc. Lond. Proc. Ser. A Math. Phys. Engrg. Sci. , vol.456 , pp. 2365-2386
    • Sherratt, J.A.1
  • 47
    • 67650298831 scopus 로고    scopus 로고
    • Boundedness of solutions of a nonlocal reaction-diffusion model for adhesion in cell aggregation and cancer invasion
    • J. A. Sherratt, S. A. Gourley, N. J. Armstrong and K. J. Painter, Boundedness of solutions of a nonlocal reaction-diffusion model for adhesion in cell aggregation and cancer invasion, Euro. J. Appl. Math. 20 (2009) 123-144.
    • (2009) Euro. J. Appl. Math. , vol.20 , pp. 123-144
    • Sherratt, J.A.1    Gourley, S.A.2    Armstrong, N.J.3    Painter, K.J.4
  • 49
    • 0025935485 scopus 로고
    • Mathematical analysis of a basic model for epidermal wound healing
    • J. Sherratt and J. Murray, Mathematical analysis of a basic model for epidermal wound healing, J. Math. Biol. 29 (1991) 389-404.
    • (1991) J. Math. Biol. , vol.29 , pp. 389-404
    • Sherratt, J.1    Murray, J.2
  • 50
    • 0027018252 scopus 로고
    • Epidermal wound healing: The clinical implications of a simple mathematical model
    • J. Sherratt and J. Murray, Epidermal wound healing: The clinical implications of a simple mathematical model, Cell Transplant. 1 (1992) 365-371.
    • (1992) Cell Transplant. , vol.1 , pp. 365-371
    • Sherratt, J.1    Murray, J.2
  • 51
    • 0036304182 scopus 로고    scopus 로고
    • Intercellular adhesion and cancer invasion: A discrete simulation using the extended potts model
    • DOI 10.1006/jtbi.2001.2522
    • S. Turner and J. A. Sherratt, Intercellular adhesion and cancer invasion: A discrete simulation using the extended Potts model, J. Theor. Biol. 216 (2002) 85-100. (Pubitemid 34748059)
    • (2002) Journal of Theoretical Biology , vol.216 , Issue.1 , pp. 85-100
    • Turner, S.1    Sherratt, J.A.2
  • 53
    • 75849138859 scopus 로고    scopus 로고
    • Age-dependent equations with nonlinear diffusion
    • C. Walker, Age-dependent equations with nonlinear diffusion, Disc. Cont. Dyn. Syst. A 26 (2010) 691-712.
    • (2010) Disc. Cont. Dyn. Syst. A , vol.26 , pp. 691-712
    • Walker, C.1
  • 54
    • 41149109968 scopus 로고    scopus 로고
    • Population models structured by age, size and spatial position
    • Lecture Notes in Mathematics, (Springer- Verlag
    • G. Webb, Population models structured by age, size and spatial position, in Structured Population Models in Biology and Epidemiology, Lecture Notes in Mathematics, Vol. 1936 (Springer-Verlag, 2008), pp. 1-49.
    • (2008) Structured Population Models in Biology and Epidemiology , vol.1936 , pp. 1-49
    • Webb, G.1
  • 55
    • 39849097306 scopus 로고    scopus 로고
    • The Emerging Role of the Hippo Pathway in Cell Contact Inhibition, Organ Size Control, and Cancer Development in Mammals
    • DOI 10.1016/j.ccr.2008.02.011, PII S1535610808000470
    • Q. Zeng and W. Hong, The emerging role of the hippo pathway in cell contact inhibition, organ size control, and cancer development in mammals, Cancer Cell 13 (2008) 188-192. (Pubitemid 351318373)
    • (2008) Cancer Cell , vol.13 , Issue.3 , pp. 188-192
    • Zeng, Q.1    Hong, W.2


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