A numerical study of biofilm growth in a microgravity environment

A. C. Aristotelous; N. C. Papanicolaou

doi:10.1063/1.5007418

A numerical study of biofilm growth in a microgravity environment

A. C. Aristotelous, N. C. Papanicolaou

Department of Computer Science

West Chester University

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

A mathematical model is proposed to investigate the effect of microgravity on biofilm growth. We examine the case of biofilm suspended in a quiescent aqueous nutrient solution contained in a rectangular tank. The bacterial colony is assumed to follow logistic growth whereas nutrient absorption is assumed to follow Monod kinetics. The problem is modeled by a coupled system of nonlinear partial differential equations in two spatial dimensions solved using the Discontinuous Galerkin Finite Element method. Nutrient and biofilm concentrations are computed in microgravity and normal gravity conditions. A preliminary quantitative relationship between the biofilm concentration and the gravity field intensity is derived.

Original language	English
Title of host publication	Application of Mathematics in Technical and Natural Sciences
Subtitle of host publication	9th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2017
Publisher	American Institute of Physics Inc.
Volume	1895
ISBN (Electronic)	9780735415799
DOIs	https://doi.org/10.1063/1.5007418
Publication status	Published - 12 Oct 2017
Event	9th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2017 - Albena, Varna, Bulgaria Duration: 21 Jun 2017 → 26 Jun 2017

Other

Other	9th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2017
Country/Territory	Bulgaria
City	Albena, Varna
Period	21/06/17 → 26/06/17

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10.1063/1.5007418

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Aristotelous, A. C., & Papanicolaou, N. C. (2017). A numerical study of biofilm growth in a microgravity environment. In Application of Mathematics in Technical and Natural Sciences: 9th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2017 (Vol. 1895). Article 120001 American Institute of Physics Inc.. https://doi.org/10.1063/1.5007418

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title = "A numerical study of biofilm growth in a microgravity environment",

abstract = "A mathematical model is proposed to investigate the effect of microgravity on biofilm growth. We examine the case of biofilm suspended in a quiescent aqueous nutrient solution contained in a rectangular tank. The bacterial colony is assumed to follow logistic growth whereas nutrient absorption is assumed to follow Monod kinetics. The problem is modeled by a coupled system of nonlinear partial differential equations in two spatial dimensions solved using the Discontinuous Galerkin Finite Element method. Nutrient and biofilm concentrations are computed in microgravity and normal gravity conditions. A preliminary quantitative relationship between the biofilm concentration and the gravity field intensity is derived.",

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Aristotelous, AC & Papanicolaou, NC 2017, A numerical study of biofilm growth in a microgravity environment. in Application of Mathematics in Technical and Natural Sciences: 9th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2017. vol. 1895, 120001, American Institute of Physics Inc., 9th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2017, Albena, Varna, Bulgaria, 21/06/17. https://doi.org/10.1063/1.5007418

A numerical study of biofilm growth in a microgravity environment. / Aristotelous, A. C.; Papanicolaou, N. C.
Application of Mathematics in Technical and Natural Sciences: 9th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2017. Vol. 1895 American Institute of Physics Inc., 2017. 120001.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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N2 - A mathematical model is proposed to investigate the effect of microgravity on biofilm growth. We examine the case of biofilm suspended in a quiescent aqueous nutrient solution contained in a rectangular tank. The bacterial colony is assumed to follow logistic growth whereas nutrient absorption is assumed to follow Monod kinetics. The problem is modeled by a coupled system of nonlinear partial differential equations in two spatial dimensions solved using the Discontinuous Galerkin Finite Element method. Nutrient and biofilm concentrations are computed in microgravity and normal gravity conditions. A preliminary quantitative relationship between the biofilm concentration and the gravity field intensity is derived.

AB - A mathematical model is proposed to investigate the effect of microgravity on biofilm growth. We examine the case of biofilm suspended in a quiescent aqueous nutrient solution contained in a rectangular tank. The bacterial colony is assumed to follow logistic growth whereas nutrient absorption is assumed to follow Monod kinetics. The problem is modeled by a coupled system of nonlinear partial differential equations in two spatial dimensions solved using the Discontinuous Galerkin Finite Element method. Nutrient and biofilm concentrations are computed in microgravity and normal gravity conditions. A preliminary quantitative relationship between the biofilm concentration and the gravity field intensity is derived.

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AN - SCOPUS:85031685178

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BT - Application of Mathematics in Technical and Natural Sciences

PB - American Institute of Physics Inc.

T2 - 9th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2017

Y2 - 21 June 2017 through 26 June 2017

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Aristotelous AC, Papanicolaou NC. A numerical study of biofilm growth in a microgravity environment. In Application of Mathematics in Technical and Natural Sciences: 9th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2017. Vol. 1895. American Institute of Physics Inc. 2017. 120001 doi: 10.1063/1.5007418

A numerical study of biofilm growth in a microgravity environment

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