Non-Newtonian Behavior Effect on Gas-liquid Mass Transfer using an Anchor Impeller for CSTR Bioreactors: A CFD Approach

Objectives: kL a mass transfer coefficient was predicted using CFD (computational fluid dynamics) for analyzing non-newtonian effects on gas liquid mass transfer in a 10 L bioreactor stirred with an Anchor Impeller. Methods/Statistical Analysis: The set up bioreactor configurations were defined by t...

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Autores:
Niño, Lilibeth
Gelves, German
Peñuela, Mariana
Tipo de recurso:
Article of journal
Fecha de publicación:
2018
Institución:
Universidad Francisco de Paula Santander
Repositorio:
Repositorio Digital UFPS
Idioma:
eng
OAI Identifier:
oai:repositorio.ufps.edu.co:ufps/540
Acceso en línea:
http://repositorio.ufps.edu.co/handle/ufps/540
Palabra clave:
Anchor
Bubble Coalescence
Non-Newtonian
Sauter Diameter
CFD
Rights
openAccess
License
This work is licensed under a Creative Commons Attribution 4.0 International License.
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repository_id_str
dc.title.eng.fl_str_mv Non-Newtonian Behavior Effect on Gas-liquid Mass Transfer using an Anchor Impeller for CSTR Bioreactors: A CFD Approach
title Non-Newtonian Behavior Effect on Gas-liquid Mass Transfer using an Anchor Impeller for CSTR Bioreactors: A CFD Approach
spellingShingle Non-Newtonian Behavior Effect on Gas-liquid Mass Transfer using an Anchor Impeller for CSTR Bioreactors: A CFD Approach
Anchor
Bubble Coalescence
Non-Newtonian
Sauter Diameter
CFD
title_short Non-Newtonian Behavior Effect on Gas-liquid Mass Transfer using an Anchor Impeller for CSTR Bioreactors: A CFD Approach
title_full Non-Newtonian Behavior Effect on Gas-liquid Mass Transfer using an Anchor Impeller for CSTR Bioreactors: A CFD Approach
title_fullStr Non-Newtonian Behavior Effect on Gas-liquid Mass Transfer using an Anchor Impeller for CSTR Bioreactors: A CFD Approach
title_full_unstemmed Non-Newtonian Behavior Effect on Gas-liquid Mass Transfer using an Anchor Impeller for CSTR Bioreactors: A CFD Approach
title_sort Non-Newtonian Behavior Effect on Gas-liquid Mass Transfer using an Anchor Impeller for CSTR Bioreactors: A CFD Approach
dc.creator.fl_str_mv Niño, Lilibeth
Gelves, German
Peñuela, Mariana
dc.contributor.author.none.fl_str_mv Niño, Lilibeth
Gelves, German
Peñuela, Mariana
dc.subject.proposal.eng.fl_str_mv Anchor
Bubble Coalescence
Non-Newtonian
Sauter Diameter
CFD
topic Anchor
Bubble Coalescence
Non-Newtonian
Sauter Diameter
CFD
description Objectives: kL a mass transfer coefficient was predicted using CFD (computational fluid dynamics) for analyzing non-newtonian effects on gas liquid mass transfer in a 10 L bioreactor stirred with an Anchor Impeller. Methods/Statistical Analysis: The set up bioreactor configurations were defined by typical culturing conditions used for fungi organism. Bubble breakage frequency and coalescence rate were simulated using Luo - Colaloglou and Tavlarides models and PBM approaches, respectively. Simulated results from different shear rates due to non-newtonian behaviour are compared by analyzing its influences in bubble size and power input. Findings: A clear relationship between high levels of shear rates and small bubble sizes is found in this work. The later is also associated with the high values of kL a simulated (270 h-1) and compared to levels found at low shear rates (62 h-1). Application/Improvements: Impressed by these findings new design optimizations for non-newtonian bioprocessing applications would be improved using CFD.
publishDate 2018
dc.date.issued.none.fl_str_mv 2018-11
dc.date.accessioned.none.fl_str_mv 2021-10-31T16:21:43Z
dc.date.available.none.fl_str_mv 2021-10-31T16:21:43Z
dc.type.spa.fl_str_mv Artículo de revista
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dc.identifier.uri.none.fl_str_mv http://repositorio.ufps.edu.co/handle/ufps/540
dc.identifier.doi.none.fl_str_mv 10.17485/ijst/2018/v11i43/129357
url http://repositorio.ufps.edu.co/handle/ufps/540
identifier_str_mv 10.17485/ijst/2018/v11i43/129357
dc.language.iso.spa.fl_str_mv eng
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dc.relation.ispartof.none.fl_str_mv Indian Journal of Science and Technology ISSN: 0974-6846, 2018 vol:11 fasc: N/A págs: 1 - 6, DOI:10.17485/ijst/2018/v11i43/129357
dc.relation.citationedition.spa.fl_str_mv Vol. 11, No. 43 (2018)
dc.relation.citationendpage.spa.fl_str_mv 5
dc.relation.citationissue.spa.fl_str_mv 43 (2018)
dc.relation.citationstartpage.spa.fl_str_mv 1
dc.relation.citationvolume.spa.fl_str_mv 11
dc.relation.cites.none.fl_str_mv N. Lilibeth, P. Mariana y R. G. Germán, "Non-Newtonian behavior effect on gas-liquid mass transfer using an anchor impeller for CSTR bioreactors: A CFD approach", Indian Journal of Science and Technology, vol. 11, n.º 43, pp. 1–5, noviembre de 2018. [En línea]. Disponible: https://doi.org/10.17485/ijst/2018/v11i43/129357
dc.relation.ispartofjournal.spa.fl_str_mv Indian Journal of Science and Technology
dc.rights.eng.fl_str_mv This work is licensed under a Creative Commons Attribution 4.0 International License.
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.rights.accessrights.spa.fl_str_mv info:eu-repo/semantics/openAccess
dc.rights.creativecommons.spa.fl_str_mv Atribución 4.0 Internacional (CC BY 4.0)
rights_invalid_str_mv This work is licensed under a Creative Commons Attribution 4.0 International License.
Atribución 4.0 Internacional (CC BY 4.0)
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eu_rights_str_mv openAccess
dc.format.extent.spa.fl_str_mv 5 páginas
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dc.publisher.spa.fl_str_mv Indian Journal of Science and Technology
dc.publisher.place.spa.fl_str_mv India
dc.source.spa.fl_str_mv https://indjst.org/articles/non-newtonian-behavior-effect-on-gas-liquid-mass-transfer-using-an-anchor-impeller-for-cstr-bioreactors-a-cfd-approach
institution Universidad Francisco de Paula Santander
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spelling Niño, Lilibethfe424d07e145b419adb1d1597b49fd4f600Gelves, German7446587450ae5fc4984fae3331a66538600Peñuela, Marianaaad6186e0c1383b902b4827a1731e6b02021-10-31T16:21:43Z2021-10-31T16:21:43Z2018-11http://repositorio.ufps.edu.co/handle/ufps/54010.17485/ijst/2018/v11i43/129357Objectives: kL a mass transfer coefficient was predicted using CFD (computational fluid dynamics) for analyzing non-newtonian effects on gas liquid mass transfer in a 10 L bioreactor stirred with an Anchor Impeller. Methods/Statistical Analysis: The set up bioreactor configurations were defined by typical culturing conditions used for fungi organism. Bubble breakage frequency and coalescence rate were simulated using Luo - Colaloglou and Tavlarides models and PBM approaches, respectively. Simulated results from different shear rates due to non-newtonian behaviour are compared by analyzing its influences in bubble size and power input. Findings: A clear relationship between high levels of shear rates and small bubble sizes is found in this work. The later is also associated with the high values of kL a simulated (270 h-1) and compared to levels found at low shear rates (62 h-1). Application/Improvements: Impressed by these findings new design optimizations for non-newtonian bioprocessing applications would be improved using CFD.5 páginasapplication/pdfengIndian Journal of Science and TechnologyIndiaIndian Journal of Science and Technology ISSN: 0974-6846, 2018 vol:11 fasc: N/A págs: 1 - 6, DOI:10.17485/ijst/2018/v11i43/129357Vol. 11, No. 43 (2018)543 (2018)111N. Lilibeth, P. Mariana y R. G. Germán, "Non-Newtonian behavior effect on gas-liquid mass transfer using an anchor impeller for CSTR bioreactors: A CFD approach", Indian Journal of Science and Technology, vol. 11, n.º 43, pp. 1–5, noviembre de 2018. [En línea]. Disponible: https://doi.org/10.17485/ijst/2018/v11i43/129357Indian Journal of Science and TechnologyThis work is licensed under a Creative Commons Attribution 4.0 International License.info:eu-repo/semantics/openAccessAtribución 4.0 Internacional (CC BY 4.0)http://purl.org/coar/access_right/c_abf2https://indjst.org/articles/non-newtonian-behavior-effect-on-gas-liquid-mass-transfer-using-an-anchor-impeller-for-cstr-bioreactors-a-cfd-approachNon-Newtonian Behavior Effect on Gas-liquid Mass Transfer using an Anchor Impeller for CSTR Bioreactors: A CFD ApproachArtículo de revistahttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1Textinfo:eu-repo/semantics/articlehttp://purl.org/redcol/resource_type/ARTinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/version/c_970fb48d4fbd8a85AnchorBubble CoalescenceNon-NewtonianSauter DiameterCFDNi-o L, Pe-uela M, Gelves GR. CFD simulations for improving gas liquid mass transfer in a spin filter bioreactor. International Journal of Applied Engineering Research. 2016; 11(9):6097–108.Olsvik E, Kristiansen B. Rheology of filamentous fermentations. Biotechnology Advances. 1994; 12(1):1–39. https://doi.org/10.1016/0734-9750(94)90288-7Ni-o L. Gelves R. Simulating gas-liquid mass transfer in a spin filter bioreactor. Revista Facultad de Ingeniería Universidad de Antioquia. 2015; 75:163–74.Peixoto SMC, Nunhez JR, Duarte CG. Characterizing the flow of stirred vessels with anchor type impellers. Brazilian Journal of Chemical Engineering. 2000; 17(4–7):925–36. https://doi.org/10.1590/S0104-66322000000400057Jenne M, Reuss M. A critical assessment on the use of k–e turbulence models for simulation of the turbulent liquid flow induced by Rushton turbine in baffled stirred-tank reactors. Chemical Engineering Science. 1999; 54:3921–41. https://doi.org/10.1016/S0009-2509 (99)00093-7Luo J, Issa RI, Gosman AD. Prediction of impeller induced flows in mixing vessels using multiple frames of reference. Institution of Chemical Engineers Symposium Series.1994; 136:549–56. PMid:7532484Micale G, Brucat A, Grisafi F. Prediction of flow fields in a dual-impeller stirred tank. AICHE Journal. 1999; 45(3):445–64. https://doi.org/10.1002/aic.690450303Bakker, Van Den Akker H. A computational model for the gas–liquid flow in stirred reactors. Transactions of IChemE. 1994; 72(4):594–606.Gelves R, Dietrich A, Takors R. Modeling of gasliquid mass transfer in a stirred tank bioreactor agitated by a Rushton turbine or a new pitched blade impeller. Bioprocess and Biosystems Engineering. 2014; 37(3):365–75. https://doi. org/10.1007/s00449-013-1001-8. PMid:23828243Kasat R, Pandit GR. Simulation of Gas-Liquid Flows in a Reactor Stirred by Dual Rushton Turbines. International Journal of Chemical Reactor Engineering. 2008; 6(1):1–28. https://doi.org/10.2202/1542-6580.1628Gabelle J, Jourdier E, Licht RB, Chaabane B, Henaut I, Morchain J, Augier J. Impact of rheology on the mass transfer coefficient during the growth phase of in stirred bioreactors. Chemical Engineering Science. 2012; 75: 408–17. https://doi.org/10.1016/j.ces.2012.03.053Hounslow MJ, Ryall RL, Marschall VR. A Discretized Population Balance for Nucleation, Growth and Aggregation. AIChE Journal. 1988; 34(11):1821–32. https:// doi.org/10.1002/aic.690341108Ramkrishna D. Population Balances: Theory and Applications to Particulate Systems in Engineering. Academic Press, San Diego; 2000. PMid:11027180Coulaloglou CA, Tavlarides LL. Description of interaction processes in agitated liquid-liquid dispersions. Chemical Engineering Science. 1977; 32(11):1289 –97. https://doi. org/10.1016/0009-2509(77)85023-9Dhanasekharan K, Sanyal J, Jain A, Haidari A. A generalized approach to model oxygen transfer in bioreactors using population balances and computational fluid dynamics. Chemical Engineering Science. 2005; 60(1):213–18. https:// doi.org/10.1016/j.ces.2004.07.118ORIGINALNon-Newtonian Behavior Effect on Gas-Liquid Mass Transfer using an Anchor Impeller.pdfNon-Newtonian Behavior Effect on Gas-Liquid Mass Transfer using an Anchor Impeller.pdfapplication/pdf927672https://repositorio.ufps.edu.co/bitstream/ufps/540/1/Non-Newtonian%20Behavior%20Effect%20on%20Gas-Liquid%20Mass%20Transfer%20using%20an%20Anchor%20Impeller.pdf4e37b3a0d796295fdc5d154708ab94dcMD51open accessLICENSElicense.txtlicense.txttext/plain; charset=utf-814828https://repositorio.ufps.edu.co/bitstream/ufps/540/2/license.txt2f9959eaf5b71fae44bbf9ec84150c7aMD52open accessTEXTNon-Newtonian Behavior Effect on Gas-Liquid Mass Transfer using an Anchor Impeller.pdf.txtNon-Newtonian Behavior Effect on Gas-Liquid Mass Transfer using an Anchor Impeller.pdf.txtExtracted 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 incorporada en las Obras Colectivas.

b.	Distribuir copias o fonogramas de las Obras, exhibirlas públicamente, ejecutarlas públicamente y/o ponerlas a disposición pública, incluyéndolas como incorporadas en Obras Colectivas, según corresponda.

c.	Distribuir copias de las Obras Derivadas que se generen, exhibirlas públicamente, ejecutarlas públicamente y/o ponerlas a disposición pública.
Los derechos mencionados anteriormente pueden ser ejercidos en todos los medios y formatos, actualmente conocidos o que se inventen en el futuro. Los derechos antes mencionados incluyen el derecho a realizar dichas modificaciones en la medida que sean técnicamente necesarias para ejercer los derechos en otro medio o formatos, pero de otra manera usted no está autorizado para realizar obras derivadas. Todos los derechos no otorgados expresamente por el Licenciante quedan por este medio reservados, incluyendo pero sin limitarse a aquellos que se mencionan en las secciones 4(d) y 4(e).

4. Restricciones.
La licencia otorgada en la anterior Sección 3 está expresamente sujeta y limitada por las siguientes restricciones:

a.	Usted puede distribuir, exhibir públicamente, ejecutar públicamente, o poner a disposición pública la Obra sólo bajo las condiciones de esta Licencia, y Usted debe incluir una copia de esta licencia o del Identificador Universal de Recursos de la misma con cada copia de la Obra que distribuya, exhiba públicamente, ejecute públicamente o ponga a disposición pública. No es posible ofrecer o imponer ninguna condición sobre la Obra que altere o limite las condiciones de esta Licencia o el ejercicio de los derechos de los destinatarios otorgados en este documento. No es posible sublicenciar la Obra. Usted debe mantener intactos todos los avisos que hagan referencia a esta Licencia y a la cláusula de limitación de garantías. Usted no puede distribuir, exhibir públicamente, ejecutar públicamente, o poner a disposición pública la Obra con alguna medida tecnológica que controle el acceso o la utilización de ella de una forma que sea inconsistente con las condiciones de esta Licencia. Lo anterior se aplica a la Obra incorporada a una Obra Colectiva, pero esto no exige que la Obra Colectiva aparte de la obra misma quede sujeta a las condiciones de esta Licencia. Si Usted crea una Obra Colectiva, previo aviso de cualquier Licenciante debe, en la medida de lo posible, eliminar de la Obra Colectiva cualquier referencia a dicho Licenciante o al Autor Original, según lo solicitado por el Licenciante y conforme lo exige la cláusula 4(c).

b.	Usted no puede ejercer ninguno de los derechos que le han sido otorgados en la Sección 3 precedente de modo que estén principalmente destinados o directamente dirigidos a conseguir un provecho comercial o una compensación monetaria privada. El intercambio de la Obra por otras obras protegidas por derechos de autor, ya sea a través de un sistema para compartir archivos digitales (digital file-sharing) o de cualquier otra manera no será considerado como estar destinado principalmente o dirigido directamente a conseguir un provecho comercial o una compensación monetaria privada, siempre que no se realice un pago mediante una compensación monetaria en relación con el intercambio de obras protegidas por el derecho de autor.

c.	Si usted distribuye, exhibe públicamente, ejecuta públicamente o ejecuta públicamente en forma digital la Obra o cualquier Obra Derivada u Obra Colectiva, Usted debe mantener intacta toda la información de derecho de autor de la Obra y proporcionar, de forma razonable según el medio o manera que Usted esté utilizando: (i) el nombre del Autor Original si está provisto (o seudónimo, si fuere aplicable), y/o (ii) el nombre de la parte o las partes que el Autor Original y/o el Licenciante hubieren designado para la atribución (v.g., un instituto patrocinador, editorial, publicación) en la información de los derechos de autor del Licenciante, términos de servicios o de otras formas razonables; el título de la Obra si está provisto; en la medida de lo razonablemente factible y, si está provisto, el Identificador Uniforme de Recursos (Uniform Resource Identifier) que el Licenciante especifica para ser asociado con la Obra, salvo que tal URI no se refiera a la nota sobre los derechos de autor o a la información sobre el licenciamiento de la Obra; y en el caso de una Obra Derivada, atribuir el crédito identificando el uso de la Obra en la Obra Derivada (v.g., "Traducción Francesa de la Obra del Autor Original," o "Guión Cinematográfico basado en la Obra original del Autor Original"). Tal crédito puede ser implementado de cualquier forma razonable; en el caso, sin embargo, de Obras Derivadas u Obras Colectivas, tal crédito aparecerá, como mínimo, donde aparece el crédito de cualquier otro autor comparable y de una manera, al menos, tan destacada como el crédito de otro autor comparable.

d.	Para evitar toda confusión, el Licenciante aclara que, cuando la obra es una composición musical:

i.	Regalías por interpretación y ejecución bajo licencias generales. El Licenciante se reserva el derecho exclusivo de autorizar la ejecución pública o la ejecución pública digital de la obra y de recolectar, sea individualmente o a través de una sociedad de gestión colectiva de derechos de autor y derechos conexos (por ejemplo, SAYCO), las regalías por la ejecución pública o por la ejecución pública digital de la obra (por ejemplo Webcast) licenciada bajo licencias generales, si la interpretación o ejecución de la obra está primordialmente orientada por o dirigida a la obtención de una ventaja comercial o una compensación monetaria privada.

ii.	Regalías por Fonogramas. El Licenciante se reserva el derecho exclusivo de recolectar, individualmente o a través de una sociedad de gestión colectiva de derechos de autor y derechos conexos (por ejemplo, los consagrados por la SAYCO), una agencia de derechos musicales o algún agente designado, las regalías por cualquier fonograma que Usted cree a partir de la obra (“versión cover”) y distribuya, en los términos del régimen de derechos de autor, si la creación o distribución de esa versión cover está primordialmente destinada o dirigida a obtener una ventaja comercial o una compensación monetaria privada.

e.	Gestión de Derechos de Autor sobre Interpretaciones y Ejecuciones Digitales (WebCasting). Para evitar toda confusión, el Licenciante aclara que, cuando la obra sea un fonograma, el Licenciante se reserva el derecho exclusivo de autorizar la ejecución pública digital de la obra (por ejemplo, webcast) y de recolectar, individualmente o a través de una sociedad de gestión colectiva de derechos de autor y derechos conexos (por ejemplo, ACINPRO), las regalías por la ejecución pública digital de la obra (por ejemplo, webcast), sujeta a las disposiciones aplicables del régimen de Derecho de Autor, si esta ejecución pública digital está primordialmente dirigida a obtener una ventaja comercial o una compensación monetaria privada.

5. Representaciones, Garantías y Limitaciones de Responsabilidad.
A MENOS QUE LAS PARTES LO ACORDARAN DE OTRA FORMA POR ESCRITO, EL LICENCIANTE OFRECE LA OBRA (EN EL ESTADO EN EL QUE SE ENCUENTRA) “TAL CUAL”, SIN BRINDAR GARANTÍAS DE CLASE ALGUNA RESPECTO DE LA OBRA, YA SEA EXPRESA, IMPLÍCITA, LEGAL O CUALQUIERA OTRA, INCLUYENDO, SIN LIMITARSE A ELLAS, GARANTÍAS DE TITULARIDAD, COMERCIABILIDAD, ADAPTABILIDAD O ADECUACIÓN A PROPÓSITO DETERMINADO, AUSENCIA DE INFRACCIÓN, DE AUSENCIA DE DEFECTOS LATENTES O DE OTRO TIPO, O LA PRESENCIA O AUSENCIA DE ERRORES, SEAN O NO DESCUBRIBLES (PUEDAN O NO SER ESTOS DESCUBIERTOS). ALGUNAS JURISDICCIONES NO PERMITEN LA EXCLUSIÓN DE GARANTÍAS IMPLÍCITAS, EN CUYO CASO ESTA EXCLUSIÓN PUEDE NO APLICARSE A USTED.

6. Limitación de responsabilidad.
A MENOS QUE LO EXIJA EXPRESAMENTE LA LEY APLICABLE, EL LICENCIANTE NO SERÁ RESPONSABLE ANTE USTED POR DAÑO ALGUNO, SEA POR RESPONSABILIDAD EXTRACONTRACTUAL, PRECONTRACTUAL O CONTRACTUAL, OBJETIVA O SUBJETIVA, SE TRATE DE DAÑOS MORALES O PATRIMONIALES, DIRECTOS O INDIRECTOS, PREVISTOS O IMPREVISTOS PRODUCIDOS POR EL USO DE ESTA LICENCIA O DE LA OBRA, AUN CUANDO EL LICENCIANTE HAYA SIDO ADVERTIDO DE LA POSIBILIDAD DE DICHOS DAÑOS. ALGUNAS LEYES NO PERMITEN LA EXCLUSIÓN DE CIERTA RESPONSABILIDAD, EN CUYO CASO ESTA EXCLUSIÓN PUEDE NO APLICARSE A USTED.

7. Término.

a.	Esta Licencia y los derechos otorgados en virtud de ella terminarán automáticamente si Usted infringe alguna condición establecida en ella. Sin embargo, los individuos o entidades que han recibido Obras Derivadas o Colectivas de Usted de conformidad con esta Licencia, no verán terminadas sus licencias, siempre que estos individuos o entidades sigan cumpliendo íntegramente las condiciones de estas licencias. Las Secciones 1, 2, 5, 6, 7, y 8 subsistirán a cualquier terminación de esta Licencia.

b.	Sujeta a las condiciones y términos anteriores, la licencia otorgada aquí es perpetua (durante el período de vigencia de los derechos de autor de la obra). No obstante lo anterior, el Licenciante se reserva el derecho a publicar y/o estrenar la Obra bajo condiciones de licencia diferentes o a dejar de distribuirla en los términos de esta Licencia en cualquier momento; en el entendido, sin embargo, que esa elección no servirá para revocar esta licencia o que deba ser otorgada , bajo los términos de esta licencia), y esta licencia continuará en pleno vigor y efecto a menos que sea terminada como se expresa atrás. La Licencia revocada continuará siendo plenamente vigente y efectiva si no se le da término en las condiciones indicadas anteriormente.

8. Varios.

a.	Cada vez que Usted distribuya o ponga a disposición pública la Obra o una Obra Colectiva, el Licenciante ofrecerá al destinatario una licencia en los mismos términos y condiciones que la licencia otorgada a Usted bajo esta Licencia.

b.	Si alguna disposición de esta Licencia resulta invalidada o no exigible, según la legislación vigente, esto no afectará ni la validez ni la aplicabilidad del resto de condiciones de esta Licencia y, sin acción adicional por parte de los sujetos de este acuerdo, aquélla se entenderá reformada lo mínimo necesario para hacer que dicha disposición sea válida y exigible.

c.	Ningún término o disposición de esta Licencia se estimará renunciada y ninguna violación de ella será consentida a menos que esa renuncia o consentimiento sea otorgado por escrito y firmado por la parte que renuncie o consienta.

d.	Esta Licencia refleja el acuerdo pleno entre las partes respecto a la Obra aquí licenciada. No hay arreglos, acuerdos o declaraciones respecto a la Obra que no estén especificados en este documento. El Licenciante no se verá limitado por ninguna disposición adicional que pueda surgir en alguna comunicación emanada de Usted. Esta Licencia no puede ser modificada sin el consentimiento mutuo por escrito del Licenciante y Usted.
