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
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/4742
Ver los metadatos del registro completo
id |
CONICETDig_2013aa85cab207516e094b19b2981cea |
---|---|
oai_identifier_str |
oai:ri.conicet.gov.ar:11336/4742 |
network_acronym_str |
CONICETDig |
repository_id_str |
3498 |
network_name_str |
CONICET Digital (CONICET) |
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 |
_version_ |
1844613382498418688 |
score |
13.070432 |