Analytical expression of transient and steady-state catalytic current of mediated bioelectrocatalysis

Glucose-Oxygen Biofuel Cell with Biotic and Abiotic Catalysts: Experimental Research and Mathematical Modeling

“…The reports present various approaches (analytical and numerical) to the modeling of various types of FCs, including EFC [14][15][16][17]. The models can be classified into several types, the main one including those based on the principles of formal and electrochemical kinetics [5,[18][19][20]. As a rule, modeling and calculations are performed with commercial software packages (COMSOL Multiphysics, ANSYS FLUENT, CFD-ACE, FEM-LAB and so on.)…”

Theoretical treatment of diffusion and kinetics of osmium redox polymer mediated glucose oxidase enzyme electrodes: Analytical expression of current density for varying potential

“…(1-3) are as follows: Many authors have paid attention to study the solutions of non linear differential equations by using various advanced analytical methods such as Homotopy perturbation method [25], Homotopy analysis methods [26], variational iteration methods [27], Laplace Adomian decomposition methods [28], a new approach to Homotopy perturbation method [29,30] among others. Among these, a new approach to the Homotopy perturbation methods are employed to solve the non linear ordinary differential equations (1) - (3).…”

“…The advantage of this method is that, the results are given in a simple form which is the zeroth iteration [29]. Recently, an analytical expression of the concentration of mediated bio-electrocatalysis for the steady and non-steady-state conditions have been derived using Danckwerts' expression and new approach to homotopy perturbation method [30]. Using the same method the concentration of mediator, substrate (glucose) and oxygen are obtained as follows (Appendix B):…”

Kinetic Mechanism for Modelling of Electrochemical Mediatedenzyme Reactions and Determination of Enzyme Kinetics Parameters

“…Rajendran et al [21] reported an analytical expression of transient and steady-state catalytic current of homogeneous mediated bioelectrocatalysis for ping-pong mechanism for semi finite domain.…”

“…Therefore the dimensionless current density for finite case is as follows:Rajendran and Saravanakumar[21] obtained the analytical expressions of concentration of mediator and current by solving the Eqn. (B1) for the boundary conditions Matlab/Scilab coding to find the numerical solution of Eqns (A3) and (A4) function pdex4 m = 0; x = linspace(0,30); t = linspace(0,100); sol = pdepe(m,@pdex4pde,@pdex4ic,@pdex4bc,x,t); u1 = sol(:,:,1); u2 = sol(:,:,2); %--------------------figure plot(x,u1(end,:)) title('u1(x,t)') xlabel('Distance x') ylabel('u1(x,1)') figure plot(x,u2(end,:)) title('u2(x,t)') xlabel('Distance x') ylabel('u2(x,2)') %----------function [c,f,s] = pdex4pde(x,t,u,DuDx) c =[1;1]; f =[1;1].…”