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Volumn 231, Issue 2, 2009, Pages 983-1003

On the construction of analytic solutions for a diffusion-reaction equation with a discontinuous switch mechanism

Author keywords

Analytic solutions; Discontinuous switch mechanism; Existence and uniqueness; Moving boundary; Wound healing

Indexed keywords

ANALYTIC SOLUTIONS; DISCONTINUOUS SWITCH MECHANISM; EXISTENCE AND UNIQUENESS; MOVING BOUNDARY; WOUND HEALING;

EID: 67949089632     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2009.05.022     Document Type: Article
Times cited : (6)

References (25)
  • 2
    • 0033199525 scopus 로고    scopus 로고
    • A simplified model of wound healing (with particular reference to the critical size defect)
    • Adam J.A. A simplified model of wound healing (with particular reference to the critical size defect). Mathematical and Computer Modelling 30 (1999) 23-32
    • (1999) Mathematical and Computer Modelling , vol.30 , pp. 23-32
    • Adam, J.A.1
  • 4
    • 67949088612 scopus 로고
    • A simplified model for tumor growth
    • Adam J.A. A simplified model for tumor growth. Mathematical Biosciences 87 (1987) 229-244
    • (1987) Mathematical Biosciences , vol.87 , pp. 229-244
    • Adam, J.A.1
  • 5
    • 0017088552 scopus 로고
    • Cellular and geometric control of tissue growth and mitotic instability
    • Shymko R.M., and Glass L. Cellular and geometric control of tissue growth and mitotic instability. Journal of Theoretical Biology 63 (1976) 355-374
    • (1976) Journal of Theoretical Biology , vol.63 , pp. 355-374
    • Shymko, R.M.1    Glass, L.2
  • 6
    • 0027395356 scopus 로고
    • A qualitative analysis of some models of tissue growth
    • Britton N.F., and Chaplain M.A.J. A qualitative analysis of some models of tissue growth. Mathematical Biosciences 113 (1993) 77-89
    • (1993) Mathematical Biosciences , vol.113 , pp. 77-89
    • Britton, N.F.1    Chaplain, M.A.J.2
  • 7
    • 0037473672 scopus 로고    scopus 로고
    • Almost periodic solution for a model of tumor growth
    • Gao H., and Bu C. Almost periodic solution for a model of tumor growth. Applied Mathematics and Computation 140 (2003) 127-133
    • (2003) Applied Mathematics and Computation , vol.140 , pp. 127-133
    • Gao, H.1    Bu, C.2
  • 8
    • 33745478676 scopus 로고    scopus 로고
    • Simulating complex tumor dynamics from avascular to vascular growth using a general level-set method
    • Hogea C.S., Murray B.T., and Sethian J.A. Simulating complex tumor dynamics from avascular to vascular growth using a general level-set method. Journal of Mathematical Biology 53 (2006) 86-134
    • (2006) Journal of Mathematical Biology , vol.53 , pp. 86-134
    • Hogea, C.S.1    Murray, B.T.2    Sethian, J.A.3
  • 9
    • 0025935485 scopus 로고
    • Mathematical analysis of a basic model for epidermal wound healing
    • Sherratt J.A., and Murray J.D. Mathematical analysis of a basic model for epidermal wound healing. Journal of Mathematical Biology 29 (1991) 389-404
    • (1991) Journal of Mathematical Biology , vol.29 , pp. 389-404
    • Sherratt, J.A.1    Murray, J.D.2
  • 10
    • 1842866747 scopus 로고    scopus 로고
    • Investigating a simple model for cutaneous wound healing angiogenesis
    • Gaffney E.A., Pugh K., and Maini P.K. Investigating a simple model for cutaneous wound healing angiogenesis. Journal of Mathematical Biology 45 4 (2002) 337-374
    • (2002) Journal of Mathematical Biology , vol.45 , Issue.4 , pp. 337-374
    • Gaffney, E.A.1    Pugh, K.2    Maini, P.K.3
  • 11
    • 0003448545 scopus 로고    scopus 로고
    • American Mathematical Society, Providence, Rhode Island
    • Evans L.C. Partial Differential Equations vol. 19 (1998), American Mathematical Society, Providence, Rhode Island
    • (1998) Partial Differential Equations , vol.19
    • Evans, L.C.1
  • 14
    • 0013198426 scopus 로고    scopus 로고
    • Springer-Verlag, New York
    • Ladyzhenskaya O.A. The Boundary Value Problems of Mathematical Physics. Applied Mathematical Sciences vol. 49 (1985), Springer-Verlag, New York
    • (1985) Applied Mathematical Sciences , vol.49
    • Ladyzhenskaya, O.A.1
  • 15
    • 0013198426 scopus 로고    scopus 로고
    • Springer-Verlag, New York
    • Temam R. Infinite-dimensional Dynamical Systems in Mechanics and Physics. Applied Mathematical Sciences vol. 68 (1997), Springer-Verlag, New York
    • (1997) Applied Mathematical Sciences , vol.68
    • Temam, R.1
  • 19
    • 0008927219 scopus 로고
    • American Mathematical Society, Providence, RI
    • Ito S. Diffusion Equations (1992), American Mathematical Society, Providence, RI
    • (1992) Diffusion Equations
    • Ito, S.1
  • 21
    • 31244432975 scopus 로고    scopus 로고
    • The effect of surface curvature on wound healing in bone
    • Adam J.A. The effect of surface curvature on wound healing in bone. Applied Mathematics Letters 15 (2002) 59-62
    • (2002) Applied Mathematics Letters , vol.15 , pp. 59-62
    • Adam, J.A.1
  • 22
    • 1042302640 scopus 로고    scopus 로고
    • Inside mathematical modelling: Building models in the context of wound healing in bone
    • Adam J.A. Inside mathematical modelling: Building models in the context of wound healing in bone. Discrete and Continuous Dynamical Systems - Series B 4 1 (2004) 1-24
    • (2004) Discrete and Continuous Dynamical Systems - Series B , vol.4 , Issue.1 , pp. 1-24
    • Adam, J.A.1
  • 23
    • 0035427262 scopus 로고    scopus 로고
    • A simplified model of wound healing III: The critical size defect in three dimensions
    • Arnold J.S. A simplified model of wound healing III: The critical size defect in three dimensions. Mathematical and Computer Modelling 34 (2001) 385-392
    • (2001) Mathematical and Computer Modelling , vol.34 , pp. 385-392
    • Arnold, J.S.1
  • 25
    • 67949093263 scopus 로고    scopus 로고
    • A mathematical approach to epidermal wound closure: Model analysis and computer simulations, Report 07-14 at DIAM, Delft University of Technology
    • submitted for publication
    • E. Javierre, F.J. Vermolen, C Vuik, S. van der Zwaag, A mathematical approach to epidermal wound closure: Model analysis and computer simulations, Report 07-14 at DIAM, Delft University of Technology, Journal of Mathematical Biology (2008) (submitted for publication)
    • (2008) Journal of Mathematical Biology
    • Javierre, E.1    Vermolen, F.J.2    Vuik, C.3    van der Zwaag, S.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.