The monitoring of biofilm development at a small-scale is often observed to be a stochastic process. This raises important issues concerning the reproducibility of biofilm growth monitoring experiments. By realising that there are limits to the latter, a model of biofilm accumulation curves that takes into account the dynamics of seemingly random fluctuations resulting from sloughing events is proposed. The model is derived from a stochastic differential equation (SDE) based on the logistic equation, adding a stochastic term for the sloughing events and measurement noise. Experimental light absorbance data that correlate with biofilm biomass obtained from the development of phototrophic biofilms are analysed to illustrate the use of SDE modeling.
Skip Nav Destination
Article navigation
Research Article|
April 01 2007
Stochastic modeling for characterisation of biofilm development with discrete detachment events (sloughing) Available to Purchase
A. Bohn;
*Biomathematics Group, Instituto de Tecnologia Química e Biológica, Universidade Nova de Lisboa, R Quinta Grande 6, 2780-156 , Oeiras, Portugal (E-mail: [email protected]; [email protected])
E-mail: [email protected]
Search for other works by this author on:
B. Zippel;
B. Zippel
**Department of River Ecology, UFZ Centre for Environmental Research Leipzig-Halle, Brückstr. 3a, 39114 , Magdeburg, Germany (E-mail: [email protected])
Search for other works by this author on:
J.S. Almeida;
J.S. Almeida
*Biomathematics Group, Instituto de Tecnologia Química e Biológica, Universidade Nova de Lisboa, R Quinta Grande 6, 2780-156 , Oeiras, Portugal (E-mail: [email protected]; [email protected])
***Department of Biostatistics and Applied Mathematics, University of Texas MDAnderson Cancer Center – unit 447, 1515 Holcombe Blvd, Houston, TX 77030-4009, USA (E-mail: [email protected])
Search for other works by this author on:
J.B. Xavier
J.B. Xavier
*Biomathematics Group, Instituto de Tecnologia Química e Biológica, Universidade Nova de Lisboa, R Quinta Grande 6, 2780-156 , Oeiras, Portugal (E-mail: [email protected]; [email protected])
Search for other works by this author on:
Water Sci Technol (2007) 55 (8-9): 257–264.
Citation
A. Bohn, B. Zippel, J.S. Almeida, J.B. Xavier; Stochastic modeling for characterisation of biofilm development with discrete detachment events (sloughing). Water Sci Technol 1 April 2007; 55 (8-9): 257–264. doi: https://doi.org/10.2166/wst.2007.266
Download citation file:
Sign in
Don't already have an account? Register
Client Account
You could not be signed in. Please check your email address / username and password and try again.
Could not validate captcha. Please try again.
eBook
Pay-Per-View Access
$38.00