The Continuum Heterogeneous Biofilm Model With Multiple Limiting Substrate Monod Kinetics

Autores
Gonzo, Elio Emilio; Wuertz, Stefan; Rajal, Verónica Beatriz
Año de publicación
2014
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We describe a novel procedure to estimate the net growth rate of biofilms on multiple substrates. The approach is based on diffusion-reaction mass balances for chemical species in a continuum biofilm model with reaction kinetics corresponding to a Double-Monod expression. This analytical model considers a heterogeneous biofilm with variable distributions of biofilm density, activity, and effective diffusivity as a function of depth. We present the procedure to estimate the effectiveness factor analytically and compare the outcome with values obtained by the application of a rigorous numerical computational method using several theoretical examples and a test case. A comparison of the profiles of the effectiveness factor as a function of the Thiele modulus, φ, revealed that the activity of a homogeneous biofilm could be as much as 42% higher than that of a heterogeneous biofilm, under the given conditions. The maximum relative error between numerical and estimated effectiveness factor was 2.03% at φ near 0.7 (corresponding to a normalized Thiele modulus φ* = 1). For φ < 0.3 or φ > 1.4, the relative error was less than 0.5%. A biofilm containing aerobic ammonium oxidizers was chosen as a test case to illustrate the model's capability. We assumed a continuum heterogeneous biofilm model where the effective diffusivities of oxygen and ammonium change with biofilm position. Calculations were performed for two scenarios; Case I had low dissolved oxygen (DO) concentrations and Case II had high DO concentrations, with a concentration at the biofilm–fluid interface of 10 g O2/m3. For Case II, ammonium was the limiting substrate for a biofilm surface concentration, CNs, ≤13.84 g of N/m3. At these concentrations ammonium was limiting inside the biofilm, and oxygen was fully penetrating. Conversely, for CNs > 13.84 g of N/m3, oxygen became the limiting substrate inside the biofilm and ammonium was fully penetrating. Finally, a generalized procedure to estimate the effectiveness factor for a system with multiple (n > 2) limiting substrates is given.
Fil: Gonzo, Elio Emilio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Salta. Instituto de Investigación para la Industria Química (i); Argentina
Fil: Wuertz, Stefan. Nanyang Technological University. School of Biological Sciences. Singapore Centre on Environmental Life Sciences Engineering; Singapur. University Of California At Davis; Estados Unidos. Nanyang Technological University. School of Civil and Environmental Engineering; Singapur
Fil: Rajal, Verónica Beatriz. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Salta. Instituto de Investigación para la Industria Química (i); Argentina
Materia
Biofilm
Continuum Heterogenepous Model
Multiple Substrate Monod Kinetics
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/4742

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spelling The Continuum Heterogeneous Biofilm Model With Multiple Limiting Substrate Monod KineticsGonzo, Elio EmilioWuertz, StefanRajal, Verónica BeatrizBiofilmContinuum Heterogenepous ModelMultiple Substrate Monod Kineticshttps://purl.org/becyt/ford/2.8https://purl.org/becyt/ford/2We describe a novel procedure to estimate the net growth rate of biofilms on multiple substrates. The approach is based on diffusion-reaction mass balances for chemical species in a continuum biofilm model with reaction kinetics corresponding to a Double-Monod expression. This analytical model considers a heterogeneous biofilm with variable distributions of biofilm density, activity, and effective diffusivity as a function of depth. We present the procedure to estimate the effectiveness factor analytically and compare the outcome with values obtained by the application of a rigorous numerical computational method using several theoretical examples and a test case. A comparison of the profiles of the effectiveness factor as a function of the Thiele modulus, φ, revealed that the activity of a homogeneous biofilm could be as much as 42% higher than that of a heterogeneous biofilm, under the given conditions. The maximum relative error between numerical and estimated effectiveness factor was 2.03% at φ near 0.7 (corresponding to a normalized Thiele modulus φ* = 1). For φ < 0.3 or φ > 1.4, the relative error was less than 0.5%. A biofilm containing aerobic ammonium oxidizers was chosen as a test case to illustrate the model's capability. We assumed a continuum heterogeneous biofilm model where the effective diffusivities of oxygen and ammonium change with biofilm position. Calculations were performed for two scenarios; Case I had low dissolved oxygen (DO) concentrations and Case II had high DO concentrations, with a concentration at the biofilm–fluid interface of 10 g O2/m3. For Case II, ammonium was the limiting substrate for a biofilm surface concentration, CNs, ≤13.84 g of N/m3. At these concentrations ammonium was limiting inside the biofilm, and oxygen was fully penetrating. Conversely, for CNs > 13.84 g of N/m3, oxygen became the limiting substrate inside the biofilm and ammonium was fully penetrating. Finally, a generalized procedure to estimate the effectiveness factor for a system with multiple (n > 2) limiting substrates is given.Fil: Gonzo, Elio Emilio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Salta. Instituto de Investigación para la Industria Química (i); ArgentinaFil: Wuertz, Stefan. Nanyang Technological University. School of Biological Sciences. Singapore Centre on Environmental Life Sciences Engineering; Singapur. University Of California At Davis; Estados Unidos. Nanyang Technological University. School of Civil and Environmental Engineering; SingapurFil: Rajal, Verónica Beatriz. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Salta. Instituto de Investigación para la Industria Química (i); ArgentinaWiley2014-11info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/4742Gonzo, Elio Emilio; Wuertz, Stefan; Rajal, Verónica Beatriz; The Continuum Heterogeneous Biofilm Model With Multiple Limiting Substrate Monod Kinetics; Wiley; Biotechnology and Bioengineering; 111; 11; 11-2014; 2252-22641097-0290enginfo:eu-repo/semantics/altIdentifier/url/http://onlinelibrary.wiley.com/wol1/doi/10.1002/bit.25284/abstractinfo:eu-repo/semantics/altIdentifier/doi/10.1002/bit.25284info:eu-repo/semantics/altIdentifier/issn/1097-0290info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:43:55Zoai:ri.conicet.gov.ar:11336/4742instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 09:43:55.591CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv The Continuum Heterogeneous Biofilm Model With Multiple Limiting Substrate Monod Kinetics
title The Continuum Heterogeneous Biofilm Model With Multiple Limiting Substrate Monod Kinetics
spellingShingle The Continuum Heterogeneous Biofilm Model With Multiple Limiting Substrate Monod Kinetics
Gonzo, Elio Emilio
Biofilm
Continuum Heterogenepous Model
Multiple Substrate Monod Kinetics
title_short The Continuum Heterogeneous Biofilm Model With Multiple Limiting Substrate Monod Kinetics
title_full The Continuum Heterogeneous Biofilm Model With Multiple Limiting Substrate Monod Kinetics
title_fullStr The Continuum Heterogeneous Biofilm Model With Multiple Limiting Substrate Monod Kinetics
title_full_unstemmed The Continuum Heterogeneous Biofilm Model With Multiple Limiting Substrate Monod Kinetics
title_sort The Continuum Heterogeneous Biofilm Model With Multiple Limiting Substrate Monod Kinetics
dc.creator.none.fl_str_mv Gonzo, Elio Emilio
Wuertz, Stefan
Rajal, Verónica Beatriz
author Gonzo, Elio Emilio
author_facet Gonzo, Elio Emilio
Wuertz, Stefan
Rajal, Verónica Beatriz
author_role author
author2 Wuertz, Stefan
Rajal, Verónica Beatriz
author2_role author
author
dc.subject.none.fl_str_mv Biofilm
Continuum Heterogenepous Model
Multiple Substrate Monod Kinetics
topic Biofilm
Continuum Heterogenepous Model
Multiple Substrate Monod Kinetics
purl_subject.fl_str_mv https://purl.org/becyt/ford/2.8
https://purl.org/becyt/ford/2
dc.description.none.fl_txt_mv We describe a novel procedure to estimate the net growth rate of biofilms on multiple substrates. The approach is based on diffusion-reaction mass balances for chemical species in a continuum biofilm model with reaction kinetics corresponding to a Double-Monod expression. This analytical model considers a heterogeneous biofilm with variable distributions of biofilm density, activity, and effective diffusivity as a function of depth. We present the procedure to estimate the effectiveness factor analytically and compare the outcome with values obtained by the application of a rigorous numerical computational method using several theoretical examples and a test case. A comparison of the profiles of the effectiveness factor as a function of the Thiele modulus, φ, revealed that the activity of a homogeneous biofilm could be as much as 42% higher than that of a heterogeneous biofilm, under the given conditions. The maximum relative error between numerical and estimated effectiveness factor was 2.03% at φ near 0.7 (corresponding to a normalized Thiele modulus φ* = 1). For φ < 0.3 or φ > 1.4, the relative error was less than 0.5%. A biofilm containing aerobic ammonium oxidizers was chosen as a test case to illustrate the model's capability. We assumed a continuum heterogeneous biofilm model where the effective diffusivities of oxygen and ammonium change with biofilm position. Calculations were performed for two scenarios; Case I had low dissolved oxygen (DO) concentrations and Case II had high DO concentrations, with a concentration at the biofilm–fluid interface of 10 g O2/m3. For Case II, ammonium was the limiting substrate for a biofilm surface concentration, CNs, ≤13.84 g of N/m3. At these concentrations ammonium was limiting inside the biofilm, and oxygen was fully penetrating. Conversely, for CNs > 13.84 g of N/m3, oxygen became the limiting substrate inside the biofilm and ammonium was fully penetrating. Finally, a generalized procedure to estimate the effectiveness factor for a system with multiple (n > 2) limiting substrates is given.
Fil: Gonzo, Elio Emilio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Salta. Instituto de Investigación para la Industria Química (i); Argentina
Fil: Wuertz, Stefan. Nanyang Technological University. School of Biological Sciences. Singapore Centre on Environmental Life Sciences Engineering; Singapur. University Of California At Davis; Estados Unidos. Nanyang Technological University. School of Civil and Environmental Engineering; Singapur
Fil: Rajal, Verónica Beatriz. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Salta. Instituto de Investigación para la Industria Química (i); Argentina
description We describe a novel procedure to estimate the net growth rate of biofilms on multiple substrates. The approach is based on diffusion-reaction mass balances for chemical species in a continuum biofilm model with reaction kinetics corresponding to a Double-Monod expression. This analytical model considers a heterogeneous biofilm with variable distributions of biofilm density, activity, and effective diffusivity as a function of depth. We present the procedure to estimate the effectiveness factor analytically and compare the outcome with values obtained by the application of a rigorous numerical computational method using several theoretical examples and a test case. A comparison of the profiles of the effectiveness factor as a function of the Thiele modulus, φ, revealed that the activity of a homogeneous biofilm could be as much as 42% higher than that of a heterogeneous biofilm, under the given conditions. The maximum relative error between numerical and estimated effectiveness factor was 2.03% at φ near 0.7 (corresponding to a normalized Thiele modulus φ* = 1). For φ < 0.3 or φ > 1.4, the relative error was less than 0.5%. A biofilm containing aerobic ammonium oxidizers was chosen as a test case to illustrate the model's capability. We assumed a continuum heterogeneous biofilm model where the effective diffusivities of oxygen and ammonium change with biofilm position. Calculations were performed for two scenarios; Case I had low dissolved oxygen (DO) concentrations and Case II had high DO concentrations, with a concentration at the biofilm–fluid interface of 10 g O2/m3. For Case II, ammonium was the limiting substrate for a biofilm surface concentration, CNs, ≤13.84 g of N/m3. At these concentrations ammonium was limiting inside the biofilm, and oxygen was fully penetrating. Conversely, for CNs > 13.84 g of N/m3, oxygen became the limiting substrate inside the biofilm and ammonium was fully penetrating. Finally, a generalized procedure to estimate the effectiveness factor for a system with multiple (n > 2) limiting substrates is given.
publishDate 2014
dc.date.none.fl_str_mv 2014-11
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/4742
Gonzo, Elio Emilio; Wuertz, Stefan; Rajal, Verónica Beatriz; The Continuum Heterogeneous Biofilm Model With Multiple Limiting Substrate Monod Kinetics; Wiley; Biotechnology and Bioengineering; 111; 11; 11-2014; 2252-2264
1097-0290
url http://hdl.handle.net/11336/4742
identifier_str_mv Gonzo, Elio Emilio; Wuertz, Stefan; Rajal, Verónica Beatriz; The Continuum Heterogeneous Biofilm Model With Multiple Limiting Substrate Monod Kinetics; Wiley; Biotechnology and Bioengineering; 111; 11; 11-2014; 2252-2264
1097-0290
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://onlinelibrary.wiley.com/wol1/doi/10.1002/bit.25284/abstract
info:eu-repo/semantics/altIdentifier/doi/10.1002/bit.25284
info:eu-repo/semantics/altIdentifier/issn/1097-0290
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Wiley
publisher.none.fl_str_mv Wiley
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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