The mathematical investigation of the work of enzyme biosensors based on conductive polymers

The work of CP-based biosensors was described mathematically in potentiostatic and potentiodynamic mode with constant voltage was mathematically described. The mathematical models were analyzed by linear-stability theory and bifurcation analysis. The stable-state conditions were derived by using the...

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Autores:
Valentynovych Tkach, Volodymyr
Vasyl´ovych Nechyporuk, Vasyl´
Ivanovych Yagodynets, Petro
Tipo de recurso:
Article of journal
Fecha de publicación:
2012
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/50535
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/50535
http://bdigital.unal.edu.co/44533/
http://bdigital.unal.edu.co/44533/2/
Palabra clave:
polímeros condutores
sensores bioquímicos
sensores enzimáticos
sensores eletroquímicos
oscilações eletroquímicas
o estado estacionário estável
Conductive polymers
biosensors
enzymatic sensors
electrochemical sensors
electrochemical oscillations
stable steady-state
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
id UNACIONAL2_1c54ff548c08896eb03320c98e133ee5
oai_identifier_str oai:repositorio.unal.edu.co:unal/50535
network_acronym_str UNACIONAL2
network_name_str Universidad Nacional de Colombia
repository_id_str
dc.title.spa.fl_str_mv The mathematical investigation of the work of enzyme biosensors based on conductive polymers
title The mathematical investigation of the work of enzyme biosensors based on conductive polymers
spellingShingle The mathematical investigation of the work of enzyme biosensors based on conductive polymers
polímeros condutores
sensores bioquímicos
sensores enzimáticos
sensores eletroquímicos
oscilações eletroquímicas
o estado estacionário estável
Conductive polymers
biosensors
enzymatic sensors
electrochemical sensors
electrochemical oscillations
stable steady-state
title_short The mathematical investigation of the work of enzyme biosensors based on conductive polymers
title_full The mathematical investigation of the work of enzyme biosensors based on conductive polymers
title_fullStr The mathematical investigation of the work of enzyme biosensors based on conductive polymers
title_full_unstemmed The mathematical investigation of the work of enzyme biosensors based on conductive polymers
title_sort The mathematical investigation of the work of enzyme biosensors based on conductive polymers
dc.creator.fl_str_mv Valentynovych Tkach, Volodymyr
Vasyl´ovych Nechyporuk, Vasyl´
Ivanovych Yagodynets, Petro
dc.contributor.author.spa.fl_str_mv Valentynovych Tkach, Volodymyr
Vasyl´ovych Nechyporuk, Vasyl´
Ivanovych Yagodynets, Petro
dc.subject.proposal.spa.fl_str_mv polímeros condutores
sensores bioquímicos
sensores enzimáticos
sensores eletroquímicos
oscilações eletroquímicas
o estado estacionário estável
Conductive polymers
biosensors
enzymatic sensors
electrochemical sensors
electrochemical oscillations
stable steady-state
topic polímeros condutores
sensores bioquímicos
sensores enzimáticos
sensores eletroquímicos
oscilações eletroquímicas
o estado estacionário estável
Conductive polymers
biosensors
enzymatic sensors
electrochemical sensors
electrochemical oscillations
stable steady-state
description The work of CP-based biosensors was described mathematically in potentiostatic and potentiodynamic mode with constant voltage was mathematically described. The mathematical models were analyzed by linear-stability theory and bifurcation analysis. The stable-state conditions were derived by using the stable-state requirements for 2-dimensional systems (for the potentiostatic mode) and Routh-Hurwitz criterion (for the potentiodynamic mode). The causes for the oscillatory behavior are the influence of the anodic oxidation of strong reducents forming during the work of the sensor and the formation of the less conductive polymer form (for the potentiodynamic mode). For the case of the presence of autocatalytic stage, its influence is the third oscillations´ cause. The causes of monotonic instability and respective critical values of parameters for potentiostatic mode were also found.
publishDate 2012
dc.date.issued.spa.fl_str_mv 2012
dc.date.accessioned.spa.fl_str_mv 2019-06-29T10:26:06Z
dc.date.available.spa.fl_str_mv 2019-06-29T10:26:06Z
dc.type.spa.fl_str_mv Artículo de revista
dc.type.coar.fl_str_mv http://purl.org/coar/resource_type/c_2df8fbb1
dc.type.driver.spa.fl_str_mv info:eu-repo/semantics/article
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dc.type.content.spa.fl_str_mv Text
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format http://purl.org/coar/resource_type/c_6501
status_str publishedVersion
dc.identifier.uri.none.fl_str_mv https://repositorio.unal.edu.co/handle/unal/50535
dc.identifier.eprints.spa.fl_str_mv http://bdigital.unal.edu.co/44533/
http://bdigital.unal.edu.co/44533/2/
url https://repositorio.unal.edu.co/handle/unal/50535
http://bdigital.unal.edu.co/44533/
http://bdigital.unal.edu.co/44533/2/
dc.language.iso.spa.fl_str_mv spa
language spa
dc.relation.spa.fl_str_mv http://revistas.unal.edu.co/index.php/rccquifa/article/view/45097
dc.relation.ispartof.spa.fl_str_mv Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Ciencias Químico Farmacéuticas
Revista Colombiana de Ciencias Químico Farmacéuticas
dc.relation.ispartofseries.none.fl_str_mv Revista Colombiana de Ciencias Químico Farmacéuticas; Vol. 41, núm. 2 (2012); 203-216 0034-7418 1909-6356
dc.relation.references.spa.fl_str_mv Valentynovych Tkach, Volodymyr and Vasyl´ovych Nechyporuk, Vasyl´ and Ivanovych Yagodynets, Petro (2012) The mathematical investigation of the work of enzyme biosensors based on conductive polymers. Revista Colombiana de Ciencias Químico Farmacéuticas; Vol. 41, núm. 2 (2012); 203-216 0034-7418 1909-6356 .
dc.rights.spa.fl_str_mv Derechos reservados - Universidad Nacional de Colombia
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.rights.license.spa.fl_str_mv Atribución-NoComercial 4.0 Internacional
dc.rights.uri.spa.fl_str_mv http://creativecommons.org/licenses/by-nc/4.0/
dc.rights.accessrights.spa.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv Atribución-NoComercial 4.0 Internacional
Derechos reservados - Universidad Nacional de Colombia
http://creativecommons.org/licenses/by-nc/4.0/
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.mimetype.spa.fl_str_mv application/pdf
dc.publisher.spa.fl_str_mv Revista Colombiana de Ciencias Químico Farmacéuticas
institution Universidad Nacional de Colombia
bitstream.url.fl_str_mv https://repositorio.unal.edu.co/bitstream/unal/50535/1/45097-216214-1-SM.pdf
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repository.name.fl_str_mv Repositorio Institucional Universidad Nacional de Colombia
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spelling Atribución-NoComercial 4.0 InternacionalDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Valentynovych Tkach, Volodymyr0af06e9e-3416-4e57-9a4b-a7823148c985300Vasyl´ovych Nechyporuk, Vasyl´f109bb18-0591-4e2d-937c-3a1d581844fb300Ivanovych Yagodynets, Petro539d11e8-f31a-4a60-b58d-abc014438a4a3002019-06-29T10:26:06Z2019-06-29T10:26:06Z2012https://repositorio.unal.edu.co/handle/unal/50535http://bdigital.unal.edu.co/44533/http://bdigital.unal.edu.co/44533/2/The work of CP-based biosensors was described mathematically in potentiostatic and potentiodynamic mode with constant voltage was mathematically described. The mathematical models were analyzed by linear-stability theory and bifurcation analysis. The stable-state conditions were derived by using the stable-state requirements for 2-dimensional systems (for the potentiostatic mode) and Routh-Hurwitz criterion (for the potentiodynamic mode). The causes for the oscillatory behavior are the influence of the anodic oxidation of strong reducents forming during the work of the sensor and the formation of the less conductive polymer form (for the potentiodynamic mode). For the case of the presence of autocatalytic stage, its influence is the third oscillations´ cause. The causes of monotonic instability and respective critical values of parameters for potentiostatic mode were also found.O desempenho de biossensores eletroquímicos baseados em polímeros condutores (PC), modificados pelos fragmentos da enzima, foi descrito matematicamente nos modos potenciostático e potenciodinâmico de voltagem constante. Os modelos matemáticos foram analisados por meio da teoria de estabilidade linear e da análise de bifurcações. As condições da estabilidade dos estados estacionários foram inferidas com o uso dos requisitos da estabilidade do estado estacionário para os sistemas de duas dimensões (para o modo potenciostático) e usando o critério de Routh- Hurwitz (para o modo potenciodinâmico de voltagem constante). As causas das oscilações eletroquímicas, possíveis durante o funcionamento do sensor, são: a influência da oxidação eletroquímica dos redutores fortes, que se formam durante a reação específica entre o polímero e o analito, sobre a camada dupla e também a formação da forma menos condutora do polímero (para o modo potenciodinâmico). Caso a detecção se realize por meio das reações autocatalíticas, estas também são responsáveis pelo comportamento oscilatório no processo.application/pdfspaRevista Colombiana de Ciencias Químico Farmacéuticashttp://revistas.unal.edu.co/index.php/rccquifa/article/view/45097Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Ciencias Químico FarmacéuticasRevista Colombiana de Ciencias Químico FarmacéuticasRevista Colombiana de Ciencias Químico Farmacéuticas; Vol. 41, núm. 2 (2012); 203-216 0034-7418 1909-6356Valentynovych Tkach, Volodymyr and Vasyl´ovych Nechyporuk, Vasyl´ and Ivanovych Yagodynets, Petro (2012) The mathematical investigation of the work of enzyme biosensors based on conductive polymers. Revista Colombiana de Ciencias Químico Farmacéuticas; Vol. 41, núm. 2 (2012); 203-216 0034-7418 1909-6356 .The mathematical investigation of the work of enzyme biosensors based on conductive polymersArtículo de revistainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/ARTpolímeros condutoressensores bioquímicossensores enzimáticossensores eletroquímicososcilações eletroquímicaso estado estacionário estávelConductive polymersbiosensorsenzymatic sensorselectrochemical sensorselectrochemical oscillationsstable steady-stateORIGINAL45097-216214-1-SM.pdfapplication/pdf235126https://repositorio.unal.edu.co/bitstream/unal/50535/1/45097-216214-1-SM.pdf0b9375413096258ee90da479a9ac4b5eMD51THUMBNAIL45097-216214-1-SM.pdf.jpg45097-216214-1-SM.pdf.jpgGenerated Thumbnailimage/jpeg5929https://repositorio.unal.edu.co/bitstream/unal/50535/2/45097-216214-1-SM.pdf.jpgb26c27a5ed7be656741b4152ddf76c00MD52unal/50535oai:repositorio.unal.edu.co:unal/505352022-12-20 23:06:42.647Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co