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Title: Mathematical modeling to validate on-line CO 2 measurements as a metric for cellulolytic biofilm activity in continuous-flow bioreactors

Abstract

A mathematical model for the growth of thin Clostridium thermocellum biofilms on cellulose sheets with penetration from the surface into the interior fiber matrix is formulated in this paper, and used to assess the potential of CO 2 on-line measurements for activity of cellulolytic biofilms. The biofilm growth model is linked to a product formation model. It includes the processes of carbon substrate consumption, biofilm growth, biofilm upkeep, and carbon dioxide production. The mathematical description leads to a system of ordinary differential equations that is simple enough to lend itself to qualitative analysis, yet complex enough to capture the essential features of the system. Numerical fitting of the model against experimental data showed excellent quantitative agreement. Finally, the model substantiates the utility of on-line CO 2 measurements as indicator of cellulose substrate colonization and consumption, which may be useful for reporting bioreactor performance.

Authors:
 [1];  [2];  [3];  [4]
  1. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Bioscience Division. Bioenergy Science Center
  2. Univ. of Guelph, ON (Canada). Dept. of Mathematics and Statistics. Biophysics Interdepartmental Program
  3. Univ. of Toronto, ON (Canada). Dept. of Chemical Engineering and Applied Chemistry
  4. Stellenbosch Univ. (South Africa). Dept. of Microbiology; Ryerson Univ., Toronto, ON (Canada). Dept. of Chemistry and Biology
Publication Date:
Research Org.:
Univ. of Guelph, ON (Canada); Univ. of Toronto, ON (Canada); Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Sponsoring Org.:
USDOE; Genome Canada (GW) (Canada); Canada Research Chair Program (Canada); Natural Sciences and Engineering Research Council of Canada (NSERC)
Contributing Org.:
Stellenbosch Univ. (South Africa); Ryerson Univ., Toronto, ON (Canada)
OSTI Identifier:
1361294
DOE Contract Number:  
AC05-00OR22725
Resource Type:
Journal Article
Journal Name:
Biochemical Engineering Journal
Additional Journal Information:
Journal Volume: 101; Journal ID: ISSN 1369-703X
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICS AND COMPUTING; 59 BASIC BIOLOGICAL SCIENCES; Biofilm; Cellulose; Clostridium thermocellum; CO2 on-line measurement; Dynamic modeling; Growth kinetics

Citation Formats

Dumitrache, Alexandru, Eberl, Hermann J., Allen, D. Grant, and Wolfaardt, Gideon M. Mathematical modeling to validate on-line CO2 measurements as a metric for cellulolytic biofilm activity in continuous-flow bioreactors. United States: N. p., 2015. Web. doi:10.1016/j.bej.2015.04.022.
Dumitrache, Alexandru, Eberl, Hermann J., Allen, D. Grant, & Wolfaardt, Gideon M. Mathematical modeling to validate on-line CO2 measurements as a metric for cellulolytic biofilm activity in continuous-flow bioreactors. United States. doi:10.1016/j.bej.2015.04.022.
Dumitrache, Alexandru, Eberl, Hermann J., Allen, D. Grant, and Wolfaardt, Gideon M. Sat . "Mathematical modeling to validate on-line CO2 measurements as a metric for cellulolytic biofilm activity in continuous-flow bioreactors". United States. doi:10.1016/j.bej.2015.04.022.
@article{osti_1361294,
title = {Mathematical modeling to validate on-line CO2 measurements as a metric for cellulolytic biofilm activity in continuous-flow bioreactors},
author = {Dumitrache, Alexandru and Eberl, Hermann J. and Allen, D. Grant and Wolfaardt, Gideon M.},
abstractNote = {A mathematical model for the growth of thin Clostridium thermocellum biofilms on cellulose sheets with penetration from the surface into the interior fiber matrix is formulated in this paper, and used to assess the potential of CO2 on-line measurements for activity of cellulolytic biofilms. The biofilm growth model is linked to a product formation model. It includes the processes of carbon substrate consumption, biofilm growth, biofilm upkeep, and carbon dioxide production. The mathematical description leads to a system of ordinary differential equations that is simple enough to lend itself to qualitative analysis, yet complex enough to capture the essential features of the system. Numerical fitting of the model against experimental data showed excellent quantitative agreement. Finally, the model substantiates the utility of on-line CO2 measurements as indicator of cellulose substrate colonization and consumption, which may be useful for reporting bioreactor performance.},
doi = {10.1016/j.bej.2015.04.022},
journal = {Biochemical Engineering Journal},
issn = {1369-703X},
number = ,
volume = 101,
place = {United States},
year = {2015},
month = {5}
}