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Volumn 11, Issue 1-2, 2012, Pages 183-195

A semi-stochastic cell-based formalism to model the dynamics of migration of cells in colonies

Author keywords

Cell migration; Cell based model; Semi stochastic model

Indexed keywords

CELL CULTURE; FIBROBLASTS; STOCHASTIC SYSTEMS; STRAIN ENERGY;

EID: 84858054711     PISSN: 16177959     EISSN: 16177940     Source Type: Journal    
DOI: 10.1007/s10237-011-0302-6     Document Type: Article
Times cited : (40)

References (32)
  • 2
    • 0001789974 scopus 로고
    • The general theory of stresses and displacements in layered systems i
    • Burmister D (1945) The general theory of stresses and displacements in layered systems I. J Appl Phys 16:89-94
    • (1945) J Appl Phys , vol.16 , pp. 89-94
    • Burmister, D.1
  • 3
    • 36849138623 scopus 로고
    • The general theory of stresses and displacements in layered soil systems II
    • Burmister D (1945) The general theory of stresses and displacements in layered soil systems II. J Appl Phys 16:126-127
    • (1945) J Appl Phys , vol.16 , pp. 126-127
    • Burmister, D.1
  • 4
    • 36849116723 scopus 로고
    • The general theory of stresses and displacements in layered soil systems III
    • Burmister D (1945) The general theory of stresses and displacements in layered soil systems III. J Appl Phys 16:296-302
    • (1945) J Appl Phys , vol.16 , pp. 296-302
    • Burmister, D.1
  • 5
    • 77950187758 scopus 로고    scopus 로고
    • Substrate stiffness and cell area predict cellular traction stresses in single cells and cells in contact
    • Califano JP, Reinhart-King CA (2010) Substrate stiffness and cell area predict cellular traction stresses in single cells and cells in contact. Cell Mol Bioeng 3(1):68-75
    • (2010) Cell Mol Bioeng , vol.3 , Issue.1 , pp. 68-75
    • Califano, J.P.1    Reinhart-King, C.A.2
  • 6
    • 47349123966 scopus 로고    scopus 로고
    • A review of fibroblast-populated collagen lattices
    • DOI 10.1111/j.1524-475X.2008.00392.x
    • Dallon JC, Ehrlich HP (2008) Areviewof fibroblast populated collagen lattices. Wound Repair Regen 16:472-479 (Pubitemid 352000311)
    • (2008) Wound Repair and Regeneration , vol.16 , Issue.4 , pp. 472-479
    • Dallon, J.C.1    Ehrlich, H.P.2
  • 7
    • 75849133597 scopus 로고    scopus 로고
    • Multiscale modeling of cellular systems in biology
    • Dallon JC (2010) Multiscale modeling of cellular systems in biology. Curr Opin Coll Interface Sci 15:24-31
    • (2010) Curr Opin Coll Interface Sci , vol.15 , pp. 24-31
    • Dallon, J.C.1
  • 8
    • 1842866747 scopus 로고    scopus 로고
    • Investigating a simple model of cutaneous wound healing angiogenesis
    • DOI 10.1007/s002850200161
    • Gaffney EA, Pugh K, Maini PK (2002) Investigating a simple model for cutaneous wound healing angiogenesis. J Math Biol 45(4):337-374 (Pubitemid 44200156)
    • (2002) Journal of Mathematical Biology , vol.45 , Issue.4 , pp. 337-374
    • Gaffney, E.A.1    Pugh, K.2    Maini, P.K.3    Arnold, F.4
  • 9
    • 77955399207 scopus 로고    scopus 로고
    • Effects of virus size and cell stiffness on forc es, work and pressures driving membrane invagination in a receptor-mediated endocytosis
    • (To appear)
    • Gefen A (2010) Effects of virus size and cell stiffness on forc es, work and pressures driving membrane invagination in a receptor-mediated endocytosis. J Biomech Eng 132: 084501-1-084501-5 (To appear)
    • (2010) J Biomech Eng , vol.132 , pp. 0845011-0845015
    • Gefen, A.1
  • 10
    • 0000135489 scopus 로고
    • Simulation of biological cell sorting using a two-dimensional extended Potts model
    • Graner F, Glazier J (1992) Simulation of biological cell sorting using a two-dimensional extended Potts model. Phys Rev Lett 69:2013-2016
    • (1992) Phys Rev Lett , vol.69 , pp. 2013-2016
    • Graner, F.1    Glazier, J.2
  • 11
    • 21244432037 scopus 로고    scopus 로고
    • Collective movement of epithelial cells on a collagen gel substrate
    • DOI 10.1529/biophysj.104.047654
    • Haga H, Irahara C, Kobayashi R, Nakagaki T, Kawabata K (2005) Collective movement of epithelial cells on a collagen gel substrate. Biophys J 88(3):2250-2256 (Pubitemid 40976231)
    • (2005) Biophysical Journal , vol.88 , Issue.3 , pp. 2250-2256
    • Haga, H.1    Irahara, C.2    Kobayashi, R.3    Nakagaki, T.4    Kawabata, K.5
  • 12
    • 77957786145 scopus 로고    scopus 로고
    • A cell-based simulation software for multi-cellular systems
    • Hoehme S, Drasdo D (2010) A cell-based simulation software for multi-cellular systems. Bioinformatics 26(20):2641-2642
    • (2010) Bioinformatics , vol.26 , Issue.20 , pp. 2641-2642
    • Hoehme, S.1    Drasdo, D.2
  • 13
    • 70349908173 scopus 로고    scopus 로고
    • Amathematical analysis of physiological andmorphological aspects of wound closure
    • Javierre E, Vermolen FJ, Vuik C, van der Zwaag S (2009) Amathematical analysis of physiological andmorphological aspects of wound closure. J Math Biol 59:605-630
    • (2009) J Math Biol , vol.59 , pp. 605-630
    • Javierre, E.1    Vermolen, F.J.2    Vuik, C.3    Van Der Zwaag, S.4
  • 14
    • 85040875608 scopus 로고
    • Cambridge University Press, Cambridge
    • Johnson KL (1985) Contact mechanics. Cambridge University Press, Cambridge
    • (1985) Contact mechanics
    • Johnson, K.L.1
  • 15
    • 58849162755 scopus 로고    scopus 로고
    • Cell traction forces direct fibronectin matrix assembly
    • Lemmon CA, Chen CS, Romer LH (2009) Cell traction forces direct fibronectin matrix assembly. Biophys J 96:729-738
    • (2009) Biophys J , vol.96 , pp. 729-738
    • Lemmon, C.A.1    Chen, C.S.2    Romer, L.H.3
  • 16
    • 0033917881 scopus 로고    scopus 로고
    • Cell movement is guided by the rigidity of the substrate
    • Lo CM, Wang HB, Dembo M, Wang YL (2000) Cell movement is guided by the rigidity of the substrate. Biophys J 79(1):144-152 (Pubitemid 30436733)
    • (2000) Biophysical Journal , vol.79 , Issue.1 , pp. 144-152
    • Lo, C.-M.1    Wang, H.-B.2    Dembo, M.3    Wang, Y.-L.4
  • 17
    • 85024170271 scopus 로고    scopus 로고
    • Introduction to discrete element methods: Basics of contact force models and how to perform the micro-macro transition to continuum theory
    • Special Issue: Alert Course, Aussois
    • Luding S (2008) Introduction to discrete element methods: basics of contact force models and how to perform the micro-macro transition to continuum theory. Eur J Environ Civil Eng 12(7-8(Special Issue: Alert Course, Aussois)):785-826
    • (2008) Eur J Environ Civil Eng , vol.12 , Issue.7-8 , pp. 785-826
    • Luding, S.1
  • 18
  • 19
    • 79551474712 scopus 로고    scopus 로고
    • Modeling morphogenesis in silico and in vitro: Towards quantitati ve, predicti ve, cell-based modeling
    • Merks MH, Koolwijk P (2009) Modeling morphogenesis in silico and in vitro: towards quantitati ve, predicti ve, cell-based modeling. Math Model Nat Phenom 4(4):149-171
    • (2009) Math Model Nat Phenom , vol.4 , Issue.4 , pp. 149-171
    • Merks, M.H.1    Koolwijk, P.2
  • 20
    • 36048965324 scopus 로고    scopus 로고
    • Cell force microscopy on elastic layers of finite thickness
    • DOI 10.1529/biophysj.107.111328
    • Merkel R, Kirchgesner N, Cesa CM, Hoffmann B (2007) Cell force microscopy on elastic layers of finite thickness. Biophys J 93:3314-3323 (Pubitemid 350097121)
    • (2007) Biophysical Journal , vol.93 , Issue.9 , pp. 3314-3323
    • Merkel, R.1    Kirchgessner, N.2    Cesa, C.M.3    Hoffmann, B.4
  • 22
    • 0029584674 scopus 로고
    • A mechanochemical model for adult dermal wound contraction and the permanence of the contracted tissue displacement profile
    • DOI 10.1006/jtbi.1995.0230
    • Olsen L, Sherratt JA, Maini PK (1995) A mechanochemical model for adult dermal wound closure and the permanence of the contracted tissue displacement role. J Theor Biol 177:113-128 (Pubitemid 26005187)
    • (1995) Journal of Theoretical Biology , vol.177 , Issue.2 , pp. 113-128
    • Olsen, L.1    Sherratt, J.A.2    Maini, P.K.3
  • 23
    • 7444258529 scopus 로고    scopus 로고
    • Lattice and non-latticemodels of tumour angiogenesis
    • Plank MJ, SleemanBD (2004) Lattice and non-latticemodels of tumour angiogenesis. Bull Math Biol 66:1785-1819
    • (2004) Bull Math Biol , vol.66 , pp. 1785-1819
    • Plank, M.J.1    Sleeman, B.D.2
  • 24
    • 58749096540 scopus 로고    scopus 로고
    • Cell-cell mechanical communication through compliant substrates
    • Reinhart-King CA, Dembo M, Hammer DA (2008) Cell-cell mechanical communication through compliant substrates. Biophys J 95:6044-6051
    • (2008) Biophys J , vol.95 , pp. 6044-6051
    • Reinhart-King, C.A.1    Dembo, M.2    Hammer, D.A.3
  • 25
    • 84859784369 scopus 로고    scopus 로고
    • On the effect of substrate compliance on cellular mobility
    • doi:10.4172/2153-0777. 1000101
    • Sarvestani AS (2010) On the effect of substrate compliance on cellular mobility. J Biochip Tissue Chip 1:101. doi:10.4172/2153-0777. 1000101
    • (2010) J Biochip Tissue Chip , vol.1 , pp. 101
    • Sarvestani, A.S.1
  • 27
    • 24944546618 scopus 로고    scopus 로고
    • Physical determinants of cell organization in soft media
    • DOI 10.1016/j.medengphy.2005.04.007, PII S1350453305000858, Effects of Mechanical Forces Engineering Reactions st the Cellular Level
    • Schwarz US, Bischofs IB (2005) Physical determinants of cell organization in soft media. Med Eng Phys 27:763-772 (Pubitemid 41318124)
    • (2005) Medical Engineering and Physics , vol.27 , Issue.9 , pp. 763-772
    • Schwarz, U.S.1    Bischofs, I.B.2
  • 28
    • 0025935485 scopus 로고
    • Mathematical analysis of a basic model for epidermal wound healing
    • Sherratt JA, Murray JD (1991) Mathematical analysis of a basic model for epidermal wound healing. J Math Biol 29:389-404
    • (1991) J Math Biol , vol.29 , pp. 389-404
    • Sherratt, J.A.1    Murray, J.D.2
  • 29
    • 65449141637 scopus 로고    scopus 로고
    • A simplified finite-element model for tissue regeneration with angiogenesis
    • Vermolen FJ (2009) A simplified finite-element model for tissue regeneration with angiogenesis. ASCE J Eng Mech 135(5):450-461
    • (2009) ASCE J Eng Mech , vol.135 , Issue.5 , pp. 450-461
    • Vermolen, F.J.1
  • 30
    • 67949089632 scopus 로고    scopus 로고
    • On the construction of analytic solutions for a diffusion-reaction equation with a discontinuous switch mechanism
    • Vermolen FJ, Javierre E (2009) On the construction of analytic solutions for a diffusion-reaction equation with a discontinuous switch mechanism. J Comput Appl Math 231:983-1003
    • (2009) J Comput Appl Math , vol.231 , pp. 983-1003
    • Vermolen, F.J.1    Javierre, E.2
  • 32
    • 70349728574 scopus 로고    scopus 로고
    • Amathematical model of ischemic cutaneouswounds
    • Xue C, Friedman A, Sen CK (2009) Amathematical model of ischemic cutaneouswounds. ProcNat Acad SciUSA 106(39):16783-16787
    • (2009) ProcNat Acad SciUSA , vol.106 , Issue.39 , pp. 16783-16787
    • Xue, C.1    Friedman, A.2    Sen, C.K.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.