Mathematical Modeling of Biofilm Structures Using COMSTAT Data

Davide Verotta*, Janus Anders Juul Haagensen, Alfred M. Spormann, Katherine Yang

*Corresponding author for this work

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Abstract

Mathematical modeling holds great potential for quantitatively describing biofilm growth in presence or absence of chemical agents used to limit or promote biofilm growth. In this paper, we describe a general mathematical/statistical framework that allows for the characterization of complex data in terms of few parameters and the capability to (i) compare different experiments and exposures to different agents, (ii) test different hypotheses regarding biofilm growth and interaction with different agents, and (iii) simulate arbitrary administrations of agents. The mathematical framework is divided to submodels characterizing biofilm, including new models characterizing live biofilm growth and dead cell accumulation; the interaction with agents inhibiting or stimulating growth; the kinetics of the agents. The statistical framework can take into account measurement and interexperiment variation. We demonstrate the application of (some of) the models using confocal microscopy data obtained using the computer program COMSTAT.
Original languageEnglish
JournalComputational and Mathematical Methods in Medicine
Volume2017
Pages (from-to)1-11
Number of pages11
ISSN1748-670X
DOIs
Publication statusPublished - 2017

Bibliographical note

Copyright © 2017 Davide Verotta et al. 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.

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