Resumen

TKACH, V, V., NECHYPORUK, V. V., YAGODYNETS, P. I. et al. Mathematical model of the work of the mediated conducting polymer sensors with the use of the polymers of heterocyclic compounds. Rev. Soc. Quím. Perú, oct./dic. 2011, vol.77, no.4, p.259-266. ISSN 1810-634X.

The work of the mediated electrochemical sensors and biosensors with the use of polyheterocyclic compounds as mediators was mathematically described. Using the linear stability theory and bifurcation analysis we show, that the electrochemical oscillatory instabilities during the sensing act can be caused by changes in double electric layer (DEL) during the electrochemical oxidation of the reduced form of the mediator (which is based on polyheterocyclic compound). The stable steady-state conditions were found by using of Rauss-Gurwitz criterium. The critical value of the rate of the first chemical stage, for which the monotonic instability is possible, was also derived from general conditions.

Palabras llave: Conducting polymers; electrochemical sensors; electrochemical instability; stable steady-state; oscillations.