Modelling host tissue degradation by extracellular bacterial pathogens

Mathematical Medicine and Biology

Volumn 20, Issue 3, 2003, Pages 227-260

  King, J R ^a   Koerber, A J ^a   Croft, J M ^a   Ward, J P ^b   Williams, P ^a   Sockett, R E ^a  

^a UNIVERSITY OF NOTTINGHAM   (United Kingdom)

^b LOUGHBOROUGH UNIVERSITY   (United Kingdom)

Author keywords

Bacterial infection; Moving boundary; Sharp interface limit; Tissue degradation; Travelling wave

Indexed keywords

BACTERIA; BIODEGRADATION; WAVE TRANSMISSION;

BACTERIAL INFECTIONS; BACTERIAL PATHOGENS; EXTRACELLULAR; HOST TISSUES; IN-VITRO; MOVING BOUNDARIES; PSEUDOMONAS AERUGINOSA; SHARP INTERFACE LIMITS; TISSUE DEGRADATION; TRAVELLING WAVES;

TISSUE;

AGAR MEDIUM; ARTICLE; CONTROLLED STUDY; HOST; HOST PATHOGEN INTERACTION; IMMUNE RESPONSE; IN VITRO STUDY; MATHEMATICAL MODEL; MICROBIAL DEGRADATION; NONHUMAN; PREDICTION; PSEUDOMONAS AERUGINOSA;

BACTERIA (MICROORGANISMS); PSEUDOMONAS; PSEUDOMONAS AERUGINOSA;

EID: 0348134483     PISSN: 14778599     EISSN: None     Source Type: Journal    
DOI: 10.1093/imammb/20.3.227     Document Type: Article

References (20)

1. Dockery, J. D, & Keener, J. P. (2001) A mathematical model for quorum sensing in Pseudomonas aeruginosa. Bull. Math. Biol., 63, 95-116.
2. Elliott, C. M, & Ockendon, J. R. (1982) Weak and Variational Methods for Moving Boundary Problems. Boston, MA: Pitman.
3. Evans, J. D, & King, J. R. (2000) On the derivation of heterogeneous reaction kinetics from a homogeneous reaction model. SIAM J. Appl. Math., 60, 1977-1996.
4. Gang, R. K., Bang, R. L., Sanyal, S. C., Mokaddas, E, & Lari, A. R. (1999) Pseudomonas aeruginosa septicaemia in burns. Burns, 25, 611-616.
5. Hadeler, K. P, & Rothe, F. (1975) Travelling fronts in nonlinear diffusion equations. J. Math. Biol., 2, 251-263.
6. Herndon, D., ed. (2002) Total Burn Care, 2nd edn. Philadelphia, PA: W. B. Saunders.
7. Hilhorst, D., Van Der Hout, R, & Peletier, L. A. (1996) The fast reaction limit for a reaction-diffusion system. J. Math. Anal. Appl., 199, 349-373.
8. Hilhorst, D, Van Der Hout, R, & Peletier, L. A. (2000) Nonlinear diffusion in the presence of fast reaction. Nonlin. Anal., 41, 803-823.
9. Holder, I. A. (1993) P. aeruginosa burn infections: Pathogenesis and treatment, in 'Pseudomonas Aeruginosa as an Opportunistic Pathogen. New York: Plenum, pp. 275-295.
10. Howison, S. D, & King, J. R. (1989) Explicit solutions to six free boundary problems. IMA J. Appl. Math., 42, 155-175.
11. King, J. R. (1986) Mathematical aspects of semiconductor process modelling. D. Phil. Thesis, University of Oxford.
12. Koerber, A. J., King, J. R., Ward, J. P., Williams, P., Croft, J. M, & Sockett, R. E. (2002) A mathematical model of partial-thickness burn-wound infection by Pseudomonas aeruginosa: Quorum sensing and the build-up to invasion. Bull. Math. Biol., 64, 239-259.
13. McManus, W. F., Goodwin, C. W., Mason, A. D, & Pruitt, B. A. (1981) Burn wound infection. J. Trauma, 21, 753-756.
14. Murray, J. D. (1993) Mathematical Biology. Berlin: Springer.
15. Thaler, F., Rohan, J. E. & Loirat, P. (1998) Méd. Mal. Infect., 28, 167-174.
16. Van Saarloos, W. (1989) Front propagation into unstable states. II: Linear versus nonlinear marginal stability and rate of covergence. Phys. Rev. A, 39, 6367-6390.
17. Wallman, A. M., King, J. R. & Riley, D. S. (1997) Asymptotic and numerical solutions for the two-dimensional solidification of a liquid half-space. Proc. Roy. Soc. A, 453, 1397-1410.
18. Ward, J. P., King, J. R., Koerber, A. J., Williams, P., Croft, J. M. & Sockett, R. E. (2001) Mathematical modelling of quorum sensing in bacteria. IMA J. Math. Appl. Med. Biol., 18, 263-292.
19. Williams, P. (2002) Quorum sensing: An emerging target for antibacterial chemotherapy? Expert Opin. Ther. Targets, 6, 257-274.
20. Winzer, K. & Williams, P. (2001) Quorum sensing and the regulation of virulence gene expression in pathogenic bacteria. Int. J. Med. Microbiol., 291, 131-143.