caa a22 4500 397593120 CHVBK 20180308164944.0 cr unu---uuuuu 161202e199611 xx s 000 0 eng 10.1093/jac/38.5.757 doi (NATIONALLICENCE)oxford-10.1093/jac/38.5.757 Mathematical model of β-lactam penetration into a biofilm of Pseudomonas aeruginosa while undergoing simultaneous inactivation by released β-lactamases [Elektronische Daten] [George H. Dibdin, Stephen J. Assinder, Wright W. Nichols, Peter A. Lambert] We present a mathematical model that describes penetration of an antibacterial agent into a bacterial biofilm and, in particular, the penetration of a β-lactam compound into a biofilm of Pseudomonas aeruginosa. As well as dealing with this penetration, and the consequent bacterial lysis, the model considered diffusion of the released β-lactamases in the extracellular space and the consequent inactivation there of further incoming antibiotic; it also allowed for any chosen fraction of the total β-lactamase to be permanently accessible to exogenous substrate. The modelling scheme was validated against analytical solutions under appropriately simplified conditions. Using published experimental data we show here that lysis of cells in the surface layers of a film could have an important protective effect on the viability of underlying bacteria, especially in thick biofilms. © 1996 by the British Society for Antimicrobial Chemotherapy Original articles nationallicence Dibdin George H. Medical Research Council Dental Group, University of Bristol Lower Maudlin Street, Bristol BS1 2LY aut Assinder Stephen J. Medical Research Council Dental Group, University of Bristol Lower Maudlin Street, Bristol BS1 2LY aut Nichols Wright W. Zeneca Pharmaceuticals, Mereside, Aston University Birmingham, UK aut Lambert Peter A. Department of Pharmaceutical and Biological Sciences, Aston University Birmingham, UK aut Journal of Antimicrobial Chemotherapy Oxford University Press 38/5(1996-11), 757-769 0305-7453 38:5<757 1996 38 jac https://doi.org/10.1093/jac/38.5.757 text/html Onlinezugriff via DOI 1 other jats NATIONALLICENCE 856 40 https://doi.org/10.1093/jac/38.5.757 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Dibdin George H. Medical Research Council Dental Group, University of Bristol Lower Maudlin Street, Bristol BS1 2LY aut NATIONALLICENCE 700 1- Assinder Stephen J. Medical Research Council Dental Group, University of Bristol Lower Maudlin Street, Bristol BS1 2LY aut NATIONALLICENCE 700 1- Nichols Wright W. Zeneca Pharmaceuticals, Mereside, Aston University Birmingham, UK aut NATIONALLICENCE 700 1- Lambert Peter A. Department of Pharmaceutical and Biological Sciences, Aston University Birmingham, UK aut NATIONALLICENCE 773 0- Journal of Antimicrobial Chemotherapy Oxford University Press 38/5(1996-11), 757-769 0305-7453 38:5<757 1996 38 jac Metadata rights reserved CC BY-NC-4.0 http://creativecommons.org/licenses/by-nc/4.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-oxford