Version 1
: Received: 24 December 2020 / Approved: 26 December 2020 / Online: 26 December 2020 (10:45:47 CET)
Version 2
: Received: 27 February 2021 / Approved: 1 March 2021 / Online: 1 March 2021 (13:13:47 CET)
How to cite:
Carvalho, J.; Carrondo, M.; Bonilla, L. Biofilm Early Stages Growth and Accumulation Theoretical Model. Preprints2020, 2020120673. https://doi.org/10.20944/preprints202012.0673.v1
Carvalho, J.; Carrondo, M.; Bonilla, L. Biofilm Early Stages Growth and Accumulation Theoretical Model. Preprints 2020, 2020120673. https://doi.org/10.20944/preprints202012.0673.v1
Carvalho, J.; Carrondo, M.; Bonilla, L. Biofilm Early Stages Growth and Accumulation Theoretical Model. Preprints2020, 2020120673. https://doi.org/10.20944/preprints202012.0673.v1
APA Style
Carvalho, J., Carrondo, M., & Bonilla, L. (2020). Biofilm Early Stages Growth and Accumulation Theoretical Model. Preprints. https://doi.org/10.20944/preprints202012.0673.v1
Chicago/Turabian Style
Carvalho, J., Manuel Carrondo and Luis Bonilla. 2020 "Biofilm Early Stages Growth and Accumulation Theoretical Model" Preprints. https://doi.org/10.20944/preprints202012.0673.v1
Abstract
A theoretical model to translate the evolution over time, in early stages, of growth and accumulation of biofilm bacterial mass is introduced. The model implies the solution of a system of differential-difference master equations. The application of an algorithm like Miller´s tree term recurrence, already known for Bessel functions of first kind, allows an exact calculation of the solutions of such equations, for a wide range of parameters values and time. For biofilm model a five term recurrence is deduced and applied in a backwards computation. A suitable normalisation condition completes the reach of the solution.
Keywords
biofilm; Miller recurrent algorithm; Bessel functions; differential-difference master equations
Subject
Engineering, Automotive Engineering
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.