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/50896
- Acceso en línea:
- https://repositorio.unal.edu.co/handle/unal/50896
http://bdigital.unal.edu.co/44937/
http://bdigital.unal.edu.co/44937/2/
- 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
Summary: | 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. |
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