-
1
-
-
0033199525
-
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
-
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
-
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
-
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
-
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
-
6
-
-
33847623452
-
-
SIAM, Philadelphia
-
de Vries G, Hillen Th, Lewis M, Müller J, Schönfisch B (2006) A course in mathematical biology: quantitative modeling with mathematical and computational methods. SIAM, Philadelphia.
-
(2006)
A course in mathematical biology: Quantitative modeling with mathematical and computational methods
-
-
de Vries, G.1
Hillen, T.2
Lewis, M.3
Müller, J.4
Schönfisch, B.5
-
7
-
-
9744237283
-
An in vivo model of wound healing in genetically modified skin-humanized mice
-
Escámez MJ, García M, Larcher F, Meana A, Nuñoz E, Jorcano JL, Del Rio M (2004) An in vivo model of wound healing in genetically modified skin-humanized mice. J Investig Dermatol 123: 1182-1191.
-
(2004)
J Investig Dermatol
, vol.123
, pp. 1182-1191
-
-
Escámez, M.J.1
García, M.2
Larcher, F.3
Meana, A.4
Nuñoz, E.5
Jorcano, J.L.6
Del Rio, M.7
-
8
-
-
0029143960
-
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
-
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
-
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
-
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
-
12
-
-
84896702603
-
Numerical modeling of epidermal wound healing
-
In: Kunisch K, Of F, Steinbach O (eds). Springer, Berlin
-
Javierre E, Vermolen FJ, Vuik C, van der Zwaag S (2008) Numerical modeling of epidermal wound healing. In: Kunisch K, Of F, Steinbach O (eds) Numerical mathematics and advanced applications. Proceedings of ENUMATH 2007, Berlin. Springer, Berlin, pp 83-90.
-
(2008)
Numerical mathematics and advanced applications. Proceedings of ENUMATH 2007, Berlin
, pp. 83-90
-
-
Javierre, E.1
Vermolen, F.J.2
Vuik, C.3
van der Zwaag, S.4
-
14
-
-
70349908173
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
40
-
-
67949089632
-
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
-
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
-
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
-
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
|