A new mathematical modelling using Homotopyperturbation method to solve nonlinear equations in enzymatic glucose fuel cells

Saranya, J.; Rajendran, L.; Wang, Linshan; Fernandez, Carlos

doi:10.1016/j.cplett.2016.09.056

Cited by 16 publications

(8 citation statements)

References 16 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…3 shows the dimensionless steady-state concentrations of species C using Eq. (8). From this figure it is observed that concentration of species C decreases when λ increases.…”

Section: Numerical Simulationmentioning

confidence: 68%

“…After putting the equations (B31) to (B33) in the equation (B28) to (B30) we obtain the equations (6) - (8) in the text.…”

Section: Appendix B: Analytical Solutions Of Non-linear Equations (1)mentioning

confidence: 99%

“…Rajendran and co-workers are solved many non-linear equation in chemical science using homotopy perturbation method and variational iteration method [8]. Comparative analysis of variational iteration method and Haar wavelet method for the numerical solutions of Burgers-Huxley and Huxley equations is presented by Ray and Gupta [9].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

New Approach of Homotopy Perturbation Method for Solving the Equations in Enzyme Biochemical Systems

Preethi¹

2017

ACM

View full text Add to dashboard Cite

Abstract:In this paper, new homotopy perturbation method (iteration scheme) will be employed to solve the nonlinear dynamical problems that arise in thin membrane kinetics. More precisely, the method will be used to mathematically model and solve the kinetics of the thin membrane. A main property that makes the proposed method superior to other iterative methods is the way it handles boundary value problems, where both mixed Dirichlet and Neumann boundary conditions are taken into consideration, while other iterative methods only make account of the initial point and as a result, the approximate solution may deteriorate for values that are far away from the initial point and closer to the other endpoint. Our analytical results are compared with numerical solution. The method is found to be easily implemented, fast, and computationally economical and attractive.

show abstract

“…3 shows the dimensionless steady-state concentrations of species C using Eq. (8). From this figure it is observed that concentration of species C decreases when λ increases.…”

Section: Numerical Simulationmentioning

confidence: 68%

“…After putting the equations (B31) to (B33) in the equation (B28) to (B30) we obtain the equations (6) - (8) in the text.…”

Section: Appendix B: Analytical Solutions Of Non-linear Equations (1)mentioning

confidence: 99%

See 1 more Smart Citation

New Approach of Homotopy Perturbation Method for Solving the Equations in Enzyme Biochemical Systems

Preethi¹

2017

ACM

View full text Add to dashboard Cite

show abstract

“…Modeling and simulation of these processes allows understanding and optimizing the performance of enzymatic electrodes and consequently of the entire fuel cell. Specifically, the focus involves the mathematical resolution of the corresponding non-linear reaction-diffusion problems [38,50], including reaction and transport kinetics, statistical analysis and metabolic control analysis. Theoretical, numerical and experimental methods for estimating the biofuel cell performance was discussed by various authors.…”

Section: Non-microfluidic Configurationsmentioning

confidence: 99%

Enzymatic Biofuel Cells: A Review on Flow Designs

et al. 2021

View full text Add to dashboard Cite

Because of environmental concerns, there is a growing interest in new ways to produce green energy. Among the several studied applications, enzymatic biofuel cells can be considered as a promising solution to generate electricity from biological catalytic reactions. Indeed, enzymes show very good results as biocatalysts thanks to their excellent intrinsic properties, such as specificity toward substrate, high catalytic activity with low overvoltage for substrate conversion, mild operating conditions like ambient temperature and near-neutral pH. Furthermore, enzymes present low cost, renewability and biodegradability. The wide range of applications moves from miniaturized portable electronic equipment and sensors to integrated lab-on-chip power supplies, advanced in vivo diagnostic medical devices to wearable devices. Nevertheless, enzymatic biofuel cells show great concerns in terms of long-term stability and high power output nowadays, highlighting that this particular technology is still at early stage of development. The main aim of this review concerns the performance assessment of enzymatic biofuel cells based on flow designs, considered to be of great interest for powering biosensors and wearable devices. Different enzymatic flow cell designs are presented and analyzed highlighting the achieved performances in terms of power output and long-term stability and emphasizing new promising fabrication methods both for electrodes and cells.

show abstract

“…Over the last two decades, some nonlinear reaction-diffusion equations have been analytically solved by applying the homotopy perturbation method (HPM) [24]. This method, which is a combination of homotopy in topology and classic perturbation techniques, provides a convenient way to obtain approximate solutions for a wide variety of problems arising in different fields, including reaction-diffusion equation involving Michaelis-Menten kinetics [29,39]. However, often accurate analytical solutions obtained by the HPM are not expressed in the closed form and the accuracy of the constructed closedforms of analytical expressions of the substrate concentration is not satisfactory [37].…”

Section: Nonlinear Steady-state Solutionmentioning

confidence: 99%

Modelling the enzyme catalysed substrate conversion in a microbioreactor acting in continuous flow mode

Baronas

Kulys

Petkevičius

2018

NAMC

View full text Add to dashboard Cite

A model for the numerical simulation of the action of microbioreactor acting in the continuous flow mode was developed. The microbioreactor system was mathematically modelled by a two-compartment model based on transient reaction-diffusion equations containing a nonlinear term related to the Michaelis-Menten kinetics of the enzymatic reaction. The effectiveness of microbioreactor and the process duration were numerically and partially analytically analysed at transition and steady-state conditions in a wide range of model parameters. The computational simulation was carried out using the finite difference technique. The performed calculations showed nonlinear effects of the internal and external diffusion limitations on the effectiveness and process duration.

show abstract

A new mathematical modelling using Homotopyperturbation method to solve nonlinear equations in enzymatic glucose fuel cells

Abstract: A new mathematical modelling using Homotopyperturbation method to solve nonlinear equations in enzymatic glucose fuel cells. Chemical physics letters [online], 662, pages 317-326.

Cited by 16 publications

References 16 publications

New Approach of Homotopy Perturbation Method for Solving the Equations in Enzyme Biochemical Systems

New Approach of Homotopy Perturbation Method for Solving the Equations in Enzyme Biochemical Systems

Enzymatic Biofuel Cells: A Review on Flow Designs

Modelling the enzyme catalysed substrate conversion in a microbioreactor acting in continuous flow mode

Contact Info

Product

Resources

About