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Volumn 65, Issue 5, 2012, Pages 967-996

A finite-element model for healing of cutaneous wounds combining contraction, angiogenesis and closure

Author keywords

Angiogenesis; Finite element method; Wound closure; Wound contraction; Wound healing

Indexed keywords

ANGIOGENESIS; ARTICLE; BIOLOGICAL MODEL; FINITE ELEMENT ANALYSIS; FUNCTIONS OF THE SKIN AND ITS APPENDAGES; INJURY; PHYSIOLOGY; REGENERATION; SKIN; WOUND HEALING;

EID: 84867711726     PISSN: 03036812     EISSN: 14321416     Source Type: Journal    
DOI: 10.1007/s00285-011-0487-4     Document Type: Article
Times cited : (42)

References (44)
  • 1
    • 0033199525 scopus 로고    scopus 로고
    • A simplified model of wound healing (with particular reference to the critical size defect)
    • Adam JA (1999) A simplified model of wound healing (with particular reference to the critical size defect). Math Comput Model 30: 23-32.
    • (1999) Math Comput Model , vol.30 , pp. 23-32
    • Adam, J.A.1
  • 2
    • 0035427262 scopus 로고    scopus 로고
    • A simplified model of wound healing III: the critical size defect in three dimensions
    • Arnold JS (2001) A simplified model of wound healing III: the critical size defect in three dimensions. Math Comput Model 34: 385-392.
    • (2001) Math Comput Model , vol.34 , pp. 385-392
    • Arnold, J.S.1
  • 3
    • 0022253881 scopus 로고
    • A mathematical model of tumour-induced capillary growth
    • Balding D, McElwain DLS (1985) A mathematical model of tumour-induced capillary growth. J Theor Biol 114: 53-73.
    • (1985) J Theor Biol , vol.114 , pp. 53-73
    • Balding, D.1    McElwain, D.L.S.2
  • 4
    • 75849133597 scopus 로고    scopus 로고
    • Multiscale modeling of cellular systems in biology
    • Dallon JC (2010) Multiscale modeling of cellular systems in biology. Curr Opin Colloid Interface Sci 15: 24-31.
    • (2010) Curr Opin Colloid Interface Sci , vol.15 , pp. 24-31
    • Dallon, J.C.1
  • 5
    • 47349123966 scopus 로고    scopus 로고
    • A review of fibroblast populated collagen lattices
    • Dallon JC, Ehrlich HP (2008) A review of fibroblast populated collagen lattices. Wound Repair Regen 16: 472-479.
    • (2008) Wound Repair Regen , vol.16 , pp. 472-479
    • Dallon, J.C.1    Ehrlich, H.P.2
  • 8
    • 0029143960 scopus 로고
    • Molecular mechanisms of angiogenesis: fibroblast growth factor signal transduction
    • Friesel RE, Maciang T (1995) Molecular mechanisms of angiogenesis: fibroblast growth factor signal transduction. FASEB J 9: 919-925.
    • (1995) FASEB J , vol.9 , pp. 919-925
    • Friesel, R.E.1    Maciang, T.2
  • 9
    • 1842866747 scopus 로고    scopus 로고
    • Investigating a simple model for cutaneous wound healing angiogenesis
    • Gaffney EA, Pugh K, Maini PK (2002) Investigating a simple model for cutaneous wound healing angiogenesis. J Math Biol 45(4): 337-374.
    • (2002) J Math Biol , vol.45 , Issue.4 , pp. 337-374
    • Gaffney, E.A.1    Pugh, K.2    Maini, P.K.3
  • 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
    • 33745478676 scopus 로고    scopus 로고
    • Simulating complex tumor dynamics from avascular to vascular growth using a general level-set method
    • Hogea CS, Murray BT, Sethian JA (2006) Simulating complex tumor dynamics from avascular to vascular growth using a general level-set method. J Math Biol 53: 86-134.
    • (2006) J Math Biol , vol.53 , pp. 86-134
    • Hogea, C.S.1    Murray, B.T.2    Sethian, J.A.3
  • 14
    • 70349908173 scopus 로고    scopus 로고
    • A mathematical analysis of physiological and morphological aspects of wound closure
    • Javierre E, Vermolen FJ, Vuik C, van der Zwaag S (2009b) A mathematical analysis of physiological and morphological 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
  • 16
    • 0035163082 scopus 로고    scopus 로고
    • Mechanisms of wound reepithelialization: hints from a tissue-engineered reconstructed skin to long-standing questions
    • Laplante AF, Germain L, Auger FA, Moulin V (2001) Mechanisms of wound reepithelialization: hints from a tissue-engineered reconstructed skin to long-standing questions. FASEB J 15: 2377-2382.
    • (2001) FASEB J , vol.15 , pp. 2377-2382
    • Laplante, A.F.1    Germain, L.2    Auger, F.A.3    Moulin, V.4
  • 17
    • 0014197158 scopus 로고
    • Diffusion coefficient of oxygen through tissues
    • MacDougall JDB, McCabe M (1967) Diffusion coefficient of oxygen through tissues. Nature 215: 1173-1174.
    • (1967) Nature , vol.215 , pp. 1173-1174
    • MacDougall, J.D.B.1    McCabe, M.2
  • 18
    • 0037367075 scopus 로고    scopus 로고
    • A mathematical model for tissue replacement during epidermal wound healing
    • Maggelakis SA (2003) A mathematical model for tissue replacement during epidermal wound healing. Appl Math Model 27(3): 189-196.
    • (2003) Appl Math Model , vol.27 , Issue.3 , pp. 189-196
    • Maggelakis, S.A.1
  • 19
    • 1042279439 scopus 로고    scopus 로고
    • Modeling the role of angiogenesis in epidermal wound healing
    • Maggelakis SA (2004) Modeling the role of angiogenesis in epidermal wound healing. Discret Contin Syst 4: 267-273.
    • (2004) Discret Contin Syst , vol.4 , pp. 267-273
    • Maggelakis, S.A.1
  • 20
    • 16644400591 scopus 로고    scopus 로고
    • Mathematical modeling of tumor-induced angiogenesis
    • Mantzaris NV, Webb S, Othmer HG (2004) Mathematical modeling of tumor-induced angiogenesis. J Math Biol 49: 111-187.
    • (2004) J Math Biol , vol.49 , pp. 111-187
    • Mantzaris, N.V.1    Webb, S.2    Othmer, H.G.3
  • 21
    • 79551474712 scopus 로고    scopus 로고
    • Modeling morphogenesis in silico and in vitro: towards quantitative, predictive, cell-based modeling
    • Merks MH, Koolwijk P (2009) Modeling morphogenesis in silico and in vitro: towards quantitative, predictive, 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
  • 22
    • 36849055522 scopus 로고    scopus 로고
    • One-dimensional elastic continuum model of enterocyte layer migration
    • Mi Q, Swigon D, Riviere B, Cetin S, Vodorotz Y, Hackam D (2007) One-dimensional elastic continuum model of enterocyte layer migration. Biophys J 93: 3745-3752.
    • (2007) Biophys J , vol.93 , pp. 3745-3752
    • Mi, Q.1    Swigon, D.2    Riviere, B.3    Cetin, S.4    Vodorotz, Y.5    Hackam, D.6
  • 23
    • 0038748330 scopus 로고    scopus 로고
    • On the mechanochemical theory of biological pattern formation with application to vasculogenesis
    • Murray JD (2003) On the mechanochemical theory of biological pattern formation with application to vasculogenesis. Biol Model 326: 239-252.
    • (2003) Biol Model , vol.326 , pp. 239-252
    • Murray, J.D.1
  • 25
    • 0029584674 scopus 로고
    • A mechanochemical model for adult dermal wound closure and the permanence of the contracted tissue displacement role
    • 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.
    • (1995) J Theor Biol , vol.177 , pp. 113-128
    • Olsen, L.1    Sherratt, J.A.2    Maini, P.K.3
  • 28
    • 0042863949 scopus 로고    scopus 로고
    • A reinforced random walk model of tumour angiogenesis and anti-angiogenic strategies
    • Plank MJ, Sleeman BD (2003) A reinforced random walk model of tumour angiogenesis and anti-angiogenic strategies. Math Med Biol 20: 135-181.
    • (2003) Math Med Biol , vol.20 , pp. 135-181
    • Plank, M.J.1    Sleeman, B.D.2
  • 29
    • 7444258529 scopus 로고    scopus 로고
    • Lattice and non-lattice models of tumour angiogenesis
    • Plank MJ, Sleeman BD (2004) Lattice and non-lattice models 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
  • 30
    • 2442636729 scopus 로고    scopus 로고
    • Loss of vascular endothelial growth factor A activity in murine epidermal keratinocytes delays wound healing and inhibits tumor formation
    • Rossiter H, Barresi C, Pammer J, Rendl M, Haigh J, Wagner EF, Tschachler E (2004) Loss of vascular endothelial growth factor A activity in murine epidermal keratinocytes delays wound healing and inhibits tumor formation. Cancer Res 64: 3508-3516.
    • (2004) Cancer Res , vol.64 , pp. 3508-3516
    • Rossiter, H.1    Barresi, C.2    Pammer, J.3    Rendl, M.4    Haigh, J.5    Wagner, E.F.6    Tschachler, E.7
  • 31
    • 40649097554 scopus 로고    scopus 로고
    • Wound angiogenesis as a function of tissue oxygen tension: a mathematical model
    • Schugart RC, Friedman A, Zhao R, Sen CK (2008) Wound angiogenesis as a function of tissue oxygen tension: a mathematical model. Proc Natl Acad Sci USA 105(7): 2628-2633.
    • (2008) Proc Natl Acad Sci USA , vol.105 , Issue.7 , pp. 2628-2633
    • Schugart, R.C.1    Friedman, A.2    Zhao, R.3    Sen, C.K.4
  • 32
    • 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
  • 33
    • 0031656215 scopus 로고    scopus 로고
    • Physiology and healing dynamics of chronic cutaneous wounds
    • Stadelman WK, Digenis AG, Tobin GR (1997) Physiology and healing dynamics of chronic cutaneous wounds. Am J Surg 176(2): 265-385.
    • (1997) Am J Surg , vol.176 , Issue.2 , pp. 265-385
    • Stadelman, W.K.1    Digenis, A.G.2    Tobin, G.R.3
  • 34
    • 0036672917 scopus 로고    scopus 로고
    • Fibroblast growth factor receptor substrate 2 participates in vascular endothelial growth factor-induced signaling
    • Stoletov KV, Ratcliffe KE, Terman BI (2002) Fibroblast growth factor receptor substrate 2 participates in vascular endothelial growth factor-induced signaling. FASEB J 16: 1283-1285.
    • (2002) FASEB J , vol.16 , pp. 1283-1285
    • Stoletov, K.V.1    Ratcliffe, K.E.2    Terman, B.I.3
  • 35
    • 84867702570 scopus 로고    scopus 로고
    • Continuum elastic model of epithelial sheet migration
    • (to appear)
    • Swigon D, Arciero J, Mi Q, Hackam D (2010) Continuum elastic model of epithelial sheet migration. Biophys J 93(3) (to appear).
    • (2010) Biophys J , vol.93 , Issue.3
    • Swigon, D.1    Arciero, J.2    Mi, Q.3    Hackam, D.4
  • 36
    • 69249229399 scopus 로고    scopus 로고
    • In vitro matrigel angiogenesis model
    • Szpaderska AM, DiPietro LA (2003) In vitro matrigel angiogenesis model. Methods Mol Med 78(1): 311-315.
    • (2003) Methods Mol Med , vol.78 , Issue.1 , pp. 311-315
    • Szpaderska, A.M.1    DiPietro, L.A.2
  • 37
    • 0026799246 scopus 로고
    • Continuum model of fibroblast-driven wound contraction inflammation-mediation
    • Tranquillo RT, Murray JD (1992) Continuum model of fibroblast-driven wound contraction inflammation-mediation. J Theor Biol 158(2): 135-172.
    • (1992) J Theor Biol , vol.158 , Issue.2 , pp. 135-172
    • Tranquillo, R.T.1    Murray, J.D.2
  • 38
    • 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): 450-460.
    • (2009) ASCE J Eng Mech , vol.135 , Issue.5 , pp. 450-460
    • Vermolen, F.J.1
  • 39
    • 37249022537 scopus 로고    scopus 로고
    • A finite-element model for epidermal wound healing
    • Springer, Berlin
    • Vermolen FJ, Adam JA (2007) A finite-element model for epidermal wound healing. In: Computational Science, ICCS 2007. Springer, Berlin, pp 70-77.
    • (2007) In: Computational Science, ICCS 2007 , pp. 70-77
    • Vermolen, F.J.1    Adam, J.A.2
  • 40
    • 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 (2009a) 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
  • 42
    • 77953630334 scopus 로고    scopus 로고
    • Computer simulations from a finite-element model for wound contraction and closure
    • Vermolen FJ, Javierre E (2010) Computer simulations from a finite-element model for wound contraction and closure. J Tissue Viability 19: 43-53.
    • (2010) J Tissue Viability , vol.19 , pp. 43-53
    • Vermolen, F.J.1    Javierre, E.2
  • 43
    • 0034075994 scopus 로고    scopus 로고
    • Keratinocyte growth factor signalling: a mathematical model of dermal-epidermal interaction in epidermal wound healing
    • Wearing HJ, Sherratt JD (2000) Keratinocyte growth factor signalling: a mathematical model of dermal-epidermal interaction in epidermal wound healing. Math Biosci 165: 41-62.
    • (2000) Math Biosci , vol.165 , pp. 41-62
    • Wearing, H.J.1    Sherratt, J.D.2
  • 44
    • 70349728574 scopus 로고    scopus 로고
    • A mathematical model of ischemic cutaneous wounds
    • Xue C, Friedman A, Sen CK (2009) A mathematical model of ischemic cutaneous wounds. Proc Natl Acad Sci USA 106(39): 16783-16787.
    • (2009) Proc Natl Acad Sci USA , 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.