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...
- 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/51110
- Acceso en línea:
- https://repositorio.unal.edu.co/handle/unal/51110
http://bdigital.unal.edu.co/45182/
http://bdigital.unal.edu.co/45182/2/
- 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
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| 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 |
2019-06-29T11:24:28Z |
| dc.date.available.spa.fl_str_mv |
2019-06-29T11:24:28Z |
| 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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info:eu-repo/semantics/article |
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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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http://purl.org/coar/version/c_970fb48d4fbd8a85 |
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Text |
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http://purl.org/redcol/resource_type/ART |
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publishedVersion |
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https://repositorio.unal.edu.co/handle/unal/51110 |
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http://bdigital.unal.edu.co/45182/ http://bdigital.unal.edu.co/45182/2/ |
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https://repositorio.unal.edu.co/handle/unal/51110 http://bdigital.unal.edu.co/45182/ http://bdigital.unal.edu.co/45182/2/ |
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spa |
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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 |
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http://creativecommons.org/licenses/by-nc/4.0/ |
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info:eu-repo/semantics/openAccess |
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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 |
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openAccess |
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application/pdf |
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Revista Colombiana de Ciencias Químico Farmacéuticas |
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Universidad Nacional de Colombia |
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1806886628878188544 |
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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-abc014438a4a3002019-06-29T11:24:28Z2019-06-29T11:24:28Z2012https://repositorio.unal.edu.co/handle/unal/51110http://bdigital.unal.edu.co/45182/http://bdigital.unal.edu.co/45182/2/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/51110/1/45097-216214-1-SM.pdf0b9375413096258ee90da479a9ac4b5eMD51THUMBNAIL45097-216214-1-SM.pdf.jpg45097-216214-1-SM.pdf.jpgGenerated Thumbnailimage/jpeg5929https://repositorio.unal.edu.co/bitstream/unal/51110/2/45097-216214-1-SM.pdf.jpgb26c27a5ed7be656741b4152ddf76c00MD52unal/51110oai:repositorio.unal.edu.co:unal/511102022-12-23 23:02:54.763Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co |