Mathematical modelling of enzymatic glucose fuel cell and numerical validation

The performance of an enzymatic membrane-less and mediator-less glucose fuel cell is theoretically discussed. This paper solves a system of strongly nonlinear differential equations following Michaelis-Menten kinetics analytically. Simple approximate expressions for the concentration of glucose and hydrogen ions have been derived using a new analytical approach. Glucose concentration profiles are seen to drop throughout the cell. A careful study of the system parameters on concentration and current has been done. Sensitivity analysis has been carried out to understand the impact of each parameter on current. Satisfactory agreement is noted between the numerical results obtained through MATLAB and the results obtained by the new analytical approach. Tables and figures are presented to support the conclusions achieved.

Automated summary

The performance of an enzymatic membrane-less and mediator-less glucose fuel cell is discussed theoretically. A system of strongly nonlinear differential equations following Michaelis-Menten kinetics is solved analytically. Simple approximate expressions for the concentration of glucose and hydrogen ions are derived using a new analytical approach. The study investigates the impact of system parameters on concentration and current, and performs sensitivity analysis. The numerical results obtained through MATLAB are in satisfactory agreement with the results obtained by the new analytical approach, supported by tables and figures.