A possible predictive mathematical model for the growth of a periphytic alga
Algae are photosynthetic organisms and have qualities that are very attractive for cultivation and industrial development for commercial purposes. When algal growth is analyzed for the production of biomass usually only the exponential phase of the growth curve is considered and the other phases are...
- Autores:
-
Agredo, Julián
J, Cárdenas Poblador
M L, Ortiz Moreno
A, Vega Moreno
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 2022
- Institución:
- Escuela Colombiana de Ingeniería Julio Garavito
- Repositorio:
- Repositorio Institucional ECI
- Idioma:
- eng
- OAI Identifier:
- oai:repositorio.escuelaing.edu.co:001/2333
- Acceso en línea:
- https://repositorio.escuelaing.edu.co/handle/001/2333
https://iopscience.iop.org/article/10.1088/1742-6596/2159/1/012004/pdf
- Palabra clave:
- Modelos matemáticos
Ecuación discreta
Matemáticas
Modelos matemáticos
Ecuación discreta
Matemáticas
Mathematical models
Discrete equation
Math
- Rights
- openAccess
- License
- http://purl.org/coar/access_right/c_abf2
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| dc.title.eng.fl_str_mv |
A possible predictive mathematical model for the growth of a periphytic alga |
| title |
A possible predictive mathematical model for the growth of a periphytic alga |
| spellingShingle |
A possible predictive mathematical model for the growth of a periphytic alga Modelos matemáticos Ecuación discreta Matemáticas Modelos matemáticos Ecuación discreta Matemáticas Mathematical models Discrete equation Math |
| title_short |
A possible predictive mathematical model for the growth of a periphytic alga |
| title_full |
A possible predictive mathematical model for the growth of a periphytic alga |
| title_fullStr |
A possible predictive mathematical model for the growth of a periphytic alga |
| title_full_unstemmed |
A possible predictive mathematical model for the growth of a periphytic alga |
| title_sort |
A possible predictive mathematical model for the growth of a periphytic alga |
| dc.creator.fl_str_mv |
Agredo, Julián J, Cárdenas Poblador M L, Ortiz Moreno A, Vega Moreno |
| dc.contributor.author.none.fl_str_mv |
Agredo, Julián J, Cárdenas Poblador M L, Ortiz Moreno A, Vega Moreno |
| dc.contributor.publisher.eng.fl_str_mv |
IOP Publishing Ltd |
| dc.contributor.researchgroup.spa.fl_str_mv |
GIMATH: Grupo de investigación en Matemáticas de la Escuela Colombiana de Ingeniería |
| dc.subject.armarc.none.fl_str_mv |
Modelos matemáticos Ecuación discreta Matemáticas |
| topic |
Modelos matemáticos Ecuación discreta Matemáticas Modelos matemáticos Ecuación discreta Matemáticas Mathematical models Discrete equation Math |
| dc.subject.proposal.spa.fl_str_mv |
Modelos matemáticos Ecuación discreta Matemáticas |
| dc.subject.proposal.eng.fl_str_mv |
Mathematical models Discrete equation Math |
| description |
Algae are photosynthetic organisms and have qualities that are very attractive for cultivation and industrial development for commercial purposes. When algal growth is analyzed for the production of biomass usually only the exponential phase of the growth curve is considered and the other phases are ignored. The objective of the work is to present a possible predictive mathematical model that allows a better understanding of the kinetic behavior of a periphytic microalgae by means of the use of the Smoluchowski discrete equation, with special emphasis on the lag phase. More specifically, unknown connection between the discrete Smoluchowski equation and the deterministic Baranyi model is shown in the present study. Analysis of this connection leads to a possible predictive mathematical model about of the kinetic behavior of a periphytic microalgae. |
| publishDate |
2022 |
| dc.date.issued.none.fl_str_mv |
2022 |
| dc.date.accessioned.none.fl_str_mv |
2023-05-15T20:30:25Z |
| dc.date.available.none.fl_str_mv |
2023-05-15T20:30:25Z |
| dc.type.spa.fl_str_mv |
Artículo de revista |
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http://purl.org/coar/resource_type/c_2df8fbb1 |
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http://purl.org/coar/version/c_970fb48d4fbd8a85 |
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info:eu-repo/semantics/publishedVersion |
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http://purl.org/coar/resource_type/c_6501 |
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Text |
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1742-6596 |
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https://repositorio.escuelaing.edu.co/handle/001/2333 |
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10.1088/1742-6596/2159/1/012004 |
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https://iopscience.iop.org/article/10.1088/1742-6596/2159/1/012004/pdf |
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1742-6596 10.1088/1742-6596/2159/1/012004 |
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https://repositorio.escuelaing.edu.co/handle/001/2333 https://iopscience.iop.org/article/10.1088/1742-6596/2159/1/012004/pdf |
| dc.language.iso.spa.fl_str_mv |
eng |
| language |
eng |
| dc.relation.citationedition.spa.fl_str_mv |
Journal of Physics: Conference Series, Volume 2159, VIII International Conference Days of Applied Mathematics (VIII ICDAM) 20-22 October 2021, San José de Cúcuta, Colombia |
| dc.relation.citationendpage.spa.fl_str_mv |
8 |
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1 |
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2159 |
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N/A |
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Journal of Physics: Conference Series |
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openAccess |
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9 páginas |
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application/pdf |
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San José de Cúcuta, Colombia |
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Escuela Colombiana de Ingeniería Julio Garavito |
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Agredo, Juliáneb075c3df2f17618f2993b7a55824937600J, Cárdenas Poblador6967fd36ed15c42e432e1465aa32cb88600M L, Ortiz Moreno58d2091281c5d12dcc28593a21a66fb3600A, Vega Moreno642538bba224872204e883e5f74ff689600IOP Publishing LtdGIMATH: Grupo de investigación en Matemáticas de la Escuela Colombiana de Ingeniería2023-05-15T20:30:25Z2023-05-15T20:30:25Z20221742-6596https://repositorio.escuelaing.edu.co/handle/001/233310.1088/1742-6596/2159/1/012004https://iopscience.iop.org/article/10.1088/1742-6596/2159/1/012004/pdfAlgae are photosynthetic organisms and have qualities that are very attractive for cultivation and industrial development for commercial purposes. When algal growth is analyzed for the production of biomass usually only the exponential phase of the growth curve is considered and the other phases are ignored. The objective of the work is to present a possible predictive mathematical model that allows a better understanding of the kinetic behavior of a periphytic microalgae by means of the use of the Smoluchowski discrete equation, with special emphasis on the lag phase. More specifically, unknown connection between the discrete Smoluchowski equation and the deterministic Baranyi model is shown in the present study. Analysis of this connection leads to a possible predictive mathematical model about of the kinetic behavior of a periphytic microalgae.Las algas son organismos fotosintéticos y poseen cualidades muy atractivas para su cultivo y desarrollo industrial con fines comerciales. Cuando se analiza el crecimiento de algas para la producción de biomasa, generalmente solo se considera la fase exponencial de la curva de crecimiento y se ignoran las otras fases. El objetivo del trabajo es presentar un posible modelo matemático predictivo que permita una mejor comprensión del comportamiento cinético de una microalga perifítica mediante el uso de la ecuación discreta de Smoluchowski, con especial énfasis en la fase de latencia. Más específicamente, en el presente estudio se muestra una conexión desconocida entre la ecuación discreta de Smoluchowski y el modelo determinista de Baranyi. El análisis de esta conexión conduce a un posible modelo matemático predictivo sobre el comportamiento cinético de una microalga perifítica.9 páginasapplication/pdfengA possible predictive mathematical model for the growth of a periphytic algaArtículo de revistainfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1Textinfo:eu-repo/semantics/articlehttp://purl.org/redcol/resource_type/ARThttp://purl.org/coar/version/c_970fb48d4fbd8a85San José de Cúcuta, ColombiaJournal of Physics: Conference Series, Volume 2159, VIII International Conference Days of Applied Mathematics (VIII ICDAM) 20-22 October 2021, San José de Cúcuta, Colombia812159N/AJournal of Physics: Conference Seriesinfo:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Modelos matemáticosEcuación discretaMatemáticasModelos matemáticosEcuación discretaMatemáticasMathematical modelsDiscrete equationMathORIGINALA possible predictive mathematical model for the growth of a periphytic alga.pdfA possible predictive mathematical model for the growth of a periphytic alga.pdfArtículo de revistaapplication/pdf328753https://repositorio.escuelaing.edu.co/bitstream/001/2333/5/A%20possible%20predictive%20mathematical%20model%20for%20the%20growth%20of%20a%20periphytic%20alga.pdf7718cb7151285ac8c37f4ff23d0bfb9fMD55open accessTHUMBNAILA possible predictive mathematical model for the growth of a periphytic alga.pdf.jpgA possible predictive mathematical model for the growth of a periphytic alga.pdf.jpgGenerated Thumbnailimage/jpeg9036https://repositorio.escuelaing.edu.co/bitstream/001/2333/4/A%20possible%20predictive%20mathematical%20model%20for%20the%20growth%20of%20a%20periphytic%20alga.pdf.jpg32922994f18d320566f2e19d6a9f14cdMD54open accessTEXTA possible predictive mathematical model for the growth of a periphytic alga.pdf.txtA possible predictive mathematical model for the growth of a periphytic alga.pdf.txtExtracted texttext/plain18603https://repositorio.escuelaing.edu.co/bitstream/001/2333/3/A%20possible%20predictive%20mathematical%20model%20for%20the%20growth%20of%20a%20periphytic%20alga.pdf.txtd0a395a0e0b2b0e95ff89d59c59ca4bfMD53open accessLICENSElicense.txtlicense.txttext/plain; charset=utf-81881https://repositorio.escuelaing.edu.co/bitstream/001/2333/2/license.txt5a7ca94c2e5326ee169f979d71d0f06eMD52open access001/2333oai:repositorio.escuelaing.edu.co:001/23332023-06-22 16:39:37.326open accessRepositorio Escuela Colombiana de Ingeniería Julio Garavitorepositorio.eci@escuelaing.edu.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 |