The Effect of Bacteria on Epidermal Wound Healing
Mathematical modelling of natural phenomena, Tome 5 (2010) no. 3, pp. 28-39.

Voir la notice de l'article provenant de la source EDP Sciences

Epidermal wound healing is a complex process that repairs injured tissue. The complexity of this process increases when bacteria are present in a wound; the bacteria interaction determines whether infection sets in. Because of underlying physiological problems infected wounds do not follow the normal healing pattern. In this paper we present a mathematical model of the healing of both infected and uninfected wounds. At the core of our model is an account of the initiation of angiogenesis by macrophage-derived growth factors. We express the model as a system of reaction-diffusion equations, and we present results of computations for a version of the model with one spatial dimension.
DOI : 10.1051/mmnp/20105303

E. Agyingi 1 ; S. Maggelakis 1 ; D. Ross 1

1 School of Mathematical Sciences, Rochester Institute of Technology Rochester, NY 14623-5603, USA
@article{MMNP_2010_5_3_a3,
     author = {E. Agyingi and S. Maggelakis and D. Ross},
     title = {The {Effect} of {Bacteria} on {Epidermal} {Wound} {Healing}},
     journal = {Mathematical modelling of natural phenomena},
     pages = {28--39},
     publisher = {mathdoc},
     volume = {5},
     number = {3},
     year = {2010},
     doi = {10.1051/mmnp/20105303},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/mmnp/20105303/}
}
TY  - JOUR
AU  - E. Agyingi
AU  - S. Maggelakis
AU  - D. Ross
TI  - The Effect of Bacteria on Epidermal Wound Healing
JO  - Mathematical modelling of natural phenomena
PY  - 2010
SP  - 28
EP  - 39
VL  - 5
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.1051/mmnp/20105303/
DO  - 10.1051/mmnp/20105303
LA  - en
ID  - MMNP_2010_5_3_a3
ER  - 
%0 Journal Article
%A E. Agyingi
%A S. Maggelakis
%A D. Ross
%T The Effect of Bacteria on Epidermal Wound Healing
%J Mathematical modelling of natural phenomena
%D 2010
%P 28-39
%V 5
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.1051/mmnp/20105303/
%R 10.1051/mmnp/20105303
%G en
%F MMNP_2010_5_3_a3
E. Agyingi; S. Maggelakis; D. Ross. The Effect of Bacteria on Epidermal Wound Healing. Mathematical modelling of natural phenomena, Tome 5 (2010) no. 3, pp. 28-39. doi : 10.1051/mmnp/20105303. http://geodesic.mathdoc.fr/articles/10.1051/mmnp/20105303/

[1] F. Arnold, D. C. West Angiogenesis in wound healing Pharmac. Ther. 1992 407 422

[2] P.G. Bowler The 105 bacterial growth guideline: reassessing its clinical relevance in wound healing Ostomy/Wound Manage 2003 44 53

[3] W.S. Bullough. Cell Replacement after Tissue Damage in C. Illingworth (Ed.), Wound Healing, Churchill, London 1966.

[4] A.Q. Cai, K.A. Landman, B.D. Hughes Multi-scale modeling of a wound-healing cell migration assay J. Theoret. Biol. 2007 576 594

[5] R.A.F. Clark. Overview and general considerations of wound repair. In: The Molecular and Cellular Biology of Wound Repair (R. A. F. Clark and P. M. Hendson, eds) 3-34, Plenum, New York 1988.

[6] R.A.F Clark Wound repair Curr. Opin. Cell Biol. 1989 1000 1008

[7] R.A.F Clark Growth factors and wound repair J. Cell. Biochem. 1991 1 2

[8] R.A.F Clark Regulation of fibroplasia in cutaneous wound repair Am. J. Med. Sci. 1993 42 48

[9] R. Edwards, K.G. Harding Bacteria and wound healing Current Opinion in Infectious Diseases 2004 91 96

[10] S. Enoch, K. Harding Wound bed preparation: the science behind the removal of barriers to healing Wounds 2003 213 229

[11] E.A. Gaffney, K. Pugh, P.K. Maini, F. Arnold Investigating a simple model of cutaneous wound healing angiogenesis J. Math. Biol. 2002 337 374

[12] D. Hilhorst, J.R. King, M. Röger Travelling-wave analysis of a model describing tissue degradation by bacteria European J. Appl. Math. 2007 583 605

[13] D. Hilhorst, J.R. King, M. Röger Mathematical analysis of a model describing the invasion of bacteria in burn wounds Nonlinear Anal. 2007 1118 1140

[14] J.R. King, A.J. Kooerber Modeling host tissue degradation by extracelluar bacterial pathogens Mathematical Medicine and Biology 2003 227 260

[15] A.J. Koerber, J.R. Kingand, P. Williams Deterministic and stochastic modelling of endosome escape by Staphylococcus aureus: “quorum”sensing by a single bacterium J. Math. Biol. 2005 440 488

[16] A.J. Koerber, J.R. King, J.P. Ward, P. Williams, J.M. Croft, R.E. Sockett A mathematical model of partial-thickness burn-wound infection by Pseudomonas aeruginosa: quorum sensing and the build-up to invasion Bulletin of mathematical biology. 2002 239 59

[17] S.A. Maggelakis, A.E. Savakis. Modeling techniques in epidermal wound healing. Computational methods in biophysics, biomaterials, biotechnology and medical systems: algorithm development, mathematical analysis, and diagnostics, 2 (2003), 91-118, Kluwer Acad. Publ., Boston, MA.

[18] S.A Maggelakis A mathematical model of tissue replacement during epidermal wound healing Applied Mathematical modelling 2003 189 196

[19] S.A Maggelakis Modeling the role of angiogenesis in epidermal wound healing Discrete and Continuous Dynmical Systems Series B 2004 267 273

[20] S. Mcdougall, J. Dallon, J. Sherratt, P. Maini Fibroblast migration and collagen deposition during dermal wound healing: mathematical modelling and clinical implications Philos. Trans. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci. 2006 1385 1405

[21] G. Odland, R. Ross Human wound repair: I. Epidermal regeneration J. Cell Biol. 1968 135 151

[22] G.J. Pettet, H.M. Byrne, D. L. Mcelwain, J. Norbury A model of wound-healing angiogenesis in soft tissue Mathematical biosciences. 1996 35 63

[23] G.J. Pettet, A.J. Chaplain, D.L.S. Mcelwain, H.M. Byrne On the role of angiogenesis in wound healing Proc. R. Soc. Lond. B 1996 1487 1493

[24] P.J. Polverini, P.S. Cotran, M.A. Gimbrone, E.R. Unanue Activated macrophages induce vascular proliferation Nature. 1977 804 806

[25] M.C. Robson, B.D. Stenberg, J.P. Heggers Wound healing alterations caused by infections Clin. Plast. Surg. 1990 485 492

[26] R. Rudolph, J. Vande Berg, H.P. Egrlich. Wound contraction and scar contracture. In: Wound Healing: Biochemical and Clinical Aspects (I. K. Cohen, R. F. Diegelmann and W. J. Lindblad. eds) Saunders, Philadelphia (1992), 96-114.

[27] J.A. Sherratt, J.D. Murray Models of epidermal wound healing Proc. R. Soc. Lond. B 1990 29 36

[28] J.A. Sherratt, J.D. Murray Mathematical analysis of a basic model of epidermal wound healing J. Math Biol. 1991 389 404

[29] M.J. Tindall, S.L. Porter, P.K. Maini, G. Gaglia, J.P. Armitage Overview of mathematical approaches used to model bacterial chemotaxis. I. The single cell Bull. Math. Biol. 2008 1525 1569

[30] M.J. Tindall, P.K. Maini, S.L. Porter, J.P. Armitage Overview of mathematical approaches used to model bacterial chemotaxis. II. Bacterial populations Bull. Math. Biol. 2008 1570 1607

[31] H.V. Waugh, J.A. Sherratt Macrophage dynamics in diabetic wound healing Bull. Math. Biol. 2006 197 207

Cité par Sources :