2013年5月23日星期四

Mathematical modelling of a biofilm: The Adomian decomposition method




Biofilm is any group of microorganisms in which cells stick to each other on a surface. Biofilms may form on living or non-living surfaces and can be prevalent in natural, industrial and hospital settings. Biofilms have been found to be involved in a wide variety of microbial infections in the body, by one estimate 80% of all infections. Infectious processes in which biofilms have been implicated include common problems such as urinary tract infections, catheter infections, middle-ear infections, formation of dental plaque, gingivitis, coating contact lenses, and less common but more lethal processes such as endocarditis, infections in cystic fibrosis, and infections of permanent indwelling devices such as joint prostheses and heart valves.
Biofilm has a stubborn resistance to conventional sterilization, clean ,removal mechanisms, iust like spores.It often intimately adhere to reusable medical device surface and difficult to remove.Thus,the bacteria wrapped was protected well.There is a doubt,whether these b microorganisms will die?The death rate?
A mathematical treatment for analyzing biofilm for a square law of microbial death rate is put forward in a paper published in Natural Science. The nonlinear differential Equations in biofilm reaction is solved using the Adomian decomposition method. Approximate analytical expressions for substrate concentration have been derived for all values of parameters δ and SL. These analytical results are compared with the available numerical results and are found to be in good agreement.


(source: Scientific Research Publishing)

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