The mathematical description for the electropolymerization of furan, pyrrole and thiophene derivatives in alkaline media

Abstract

The electropolymerization of furan, pyrrole and thiophene in strong basic media was mathematically described. Two models for the cases of the insoluble and soluble anodes were described and analyzed by using the linear stability theory and bifurcation analysis and compared with the models for other cases of electropolymerization. The causes for the oscillatory behavior, monotonic instabilities and steady-state stability conditions were found.

The mechanism for the electrooxidation of procarbazine pharmaceutical preparation in alkaline media and its mathematical description

“…Self-oscillating instability of the system is possible since necessary conditions of Hopf bifurcation can be fulfilled in fact in the main diagonal of Jacobian there are positive elements responsible for the [19][20][21], but it should be noted that if for alkaline medium both factors are possible then for neutral medium, in which the salt formation and passing of the acid anion in the solution does not virtually take place, only the latter factor is the cause of the self-oscillatory behavior. Steady state stability study on the basis of the Routh-Hurwitz criterion shows that said reaction is controlled by a procarbazine adsorption factor as well as the state of the EDL during the reaction.…”

“…Achievement of this aim is based on achieving the following specific objectives: the construction of a mathematical model, the analysis of the mathematical model, the study of steady state stability conditions and electrochemical instabilities (self-oscillatory or monotonic) and the comparison of the behavior of the system with the behavior of ones similar to it [18][19][20][21].…”

The mathematical description of the electrosynthesis of composites of oxy-hydroxycompounds cobalt with polypyrrole overooxidazed

“…This analysis can explain the behavior of such systems and (as a consequence of the theorem of Kirpichev and Guchman) compare them with other similar systems are described, for example in [33][34][35][36][37][38][39][40][41][42][43][44][45][46][47][48][49].…”

“…Этот анализ может объяснить по-ведение подобных систем (как следст-вие из теоремы Кирпичева -Гухмана), а также сравнить их с другими анало-гичными системами, описанными, на-пример в [33][34][35][36][37][38][39][40][41][42][43][44][45][46][47][48][49].…”

Imobilização de Galectina-1 e Galectina-1 fusionada com Maltose Binding Protein (MBP-Gal-1) sobre superfície eletropolimerizada com [N-(3-Pirrol-1-il-propil)-4,4\'-bipiridina] (PPB) para a construção de um biossensor de lactose

“…Promover a modificação da superfície de um transdutor eletroquímico com polímeros pode ocorrer através da formação monocamadas de espécies ativas (Franco 2009 (Tkach et al 2015).…”