Preprint Article Version 2 Preserved in Portico This version is not peer-reviewed

Biofilm Early Stages of Growth and Accumulation Theoretical Model

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 of Growth and Accumulation Theoretical Model. Preprints 2020, 2020120673 (doi: 10.20944/preprints202012.0673.v2). Carvalho, J.; Carrondo, M.; Bonilla, L. Biofilm Early Stages of Growth and Accumulation Theoretical Model. Preprints 2020, 2020120673 (doi: 10.20944/preprints202012.0673.v2).

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

Comments (1)

Comment 1
Received: 1 March 2021
Commenter: José Carvalho
Commenter's Conflict of Interests: Author
Comment: New sections were included:
1. More detailed initial description of the model
2. A section of numerical examples
3. A conclusions section
4. A future work section
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