Theoretical analysis of putrescine enzymatic biosensor with optical oxygen transducer in sensitive layer using Akbari–Ganji method

Reena, A.; Karpagavalli, SG.; Rajendran, L.; Manimegalai, B.; Swaminathan, R.

doi:10.1016/j.ijoes.2023.100113

Cited by 13 publications

(4 citation statements)

References 39 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The Akbari-Ganji Method is the new name for this method, formerly known as the Algebraic Method. Recently, this technique was applied to solve a non-linear problem in the chemical sciences [33][34][35].…”

Section: Analytical Solutions For the Substrate And Product Concentra...mentioning

confidence: 99%

Mathematical Investigation of Non-Linear Reaction-Diffusion Equations on Multiphase Flow Transport in the Entrapped-Cell Photobioreactor Using Asymptotic Methods

Reena,

Swaminathan

2024

Int. J. Anal. Appl.

View full text Add to dashboard Cite

The mathematical investigation of a multiphase flow transport model intended to clarify the interaction mechanism between reactions and diffusion processes in the gel granules containing the entrapped-cell photobioreactor Rhodopseudomonas palustris CQK 01 is presented in this research. The model uses two pertinent non-linear reaction-diffusion equations for biochemical interactions in the photobioreactor under steady-state circumstances to reflect the substrate and product concentration within the gel granules. The solid phase and liquid phase fluxes within the gel granules and their concentrations are analytically calculated using the asymptotic methods of the Akbari-Ganji method and the homotopy perturbation approach. Our analytical results and the numerical data obtained by MATLAB software are compared to determine accuracy. The analytical results agreed with the simulated results for all possible reaction-diffusion and saturation parameter values. In addition, the impacts of applying two limiting cases—saturated and unsaturated enzyme kinetics—were examined. The close correspondence between the simulated and analytical data demonstrates that the parameters in our suggested solution can be used to simulate the dynamic performance of a system.

show abstract

Section: Analytical Solutions For the Substrate And Product Concentra...mentioning

confidence: 99%

Mathematical Investigation of Non-Linear Reaction-Diffusion Equations on Multiphase Flow Transport in the Entrapped-Cell Photobioreactor Using Asymptotic Methods

Reena,

Swaminathan

2024

Int. J. Anal. Appl.

View full text Add to dashboard Cite

show abstract

“…Non-linear problems are highly complex to solve analytically. Recently several analytical techniques have been used to solve non-linear equations like Homotopy Perturbation Method(HPM), the Variational iteration method, Taylor's series method(TSM) , the Akbari-Ganji method and the Hyperbolic function method [9][10][11][12][13][14][15][16][17][18][19][20][21][22]. Here we employed two methods HPM and TSM to solve Eqns(11-13).…”

Section: Analytical Observationsmentioning

confidence: 99%

Mathematical Modelling and Application of Analytical Methods for A Non-Linear EC2E Mechanism in Rotating Disk Electrode

Nebiyal,

Swaminathan,

Karpagavalli

2024

Int. J. Anal. Appl.

View full text Add to dashboard Cite

Rotating disk electrode is the hydrodynamic technique used in the process of analyzing electroanalytic works. This paper deals with the mathematical model describing a non-linear EC2E mechanism that arises in a rotating disk electrode. This model is based on the system of non-linear reaction-convection-diffusion equations. EC2E mechanism has an application in finding the shape of current curves in the system of chronoamperometry in addition to steady-state voltammetry. The approximate analytical expression for the concentration of reactant species and current at steady-state condition is obtained using the analytical methods. The attained analytical result is compared with the numerical simulation (MATLAB) result. A satisfactory result is obtained between the series of solutions. The influence of parameters on the concentration of species and current is investigated and presented graphically.

show abstract

“…Effective mathematical modelling serves as a valuable tool for elucidating enzymatic reaction processes. Since direct analytical solutions are unavailable for many non-linear enzymatic reaction equations, employing approximate analytical methods such as the variational iteration method (VIM) [4,5], Akbari Ganji method (AGM) [6,7], differential transform method (DTM) [8,9], homotopy perturbation method (HPM) [10,11], and homotopy analysis method (HAM) [12,13] becomes essential for obtaining analytical solutions. Most realistic models across chemistry, engineering, biology, and physics exhibit nonlinearity, making obtaining analytical solutions for such systems impractical.…”

Section: Related Workmentioning

confidence: 99%

Theoretical Analysis of Pre-Steady State Behaviour of Non-Linear Double Intermediate Enzymatic Reaction

2024

Contemp. Math.

View full text Add to dashboard Cite

This paper explores the mathematical modelling of a non-linear double intermediate enzymatic reaction, focusing on its pre-steady state behaviour. Using homotopy perturbation and Taylor's series methods, an approximate analytical solution is derived for the concentrations of substrate, the first enzyme-substrate complex, and the second enzyme-substrate complex. The model is applicable in scenarios where the initial substrate concentration dramatically exceeds that of the enzyme and when they are comparable. Comparisons between analytical and numerical solutions are made, highlighting the efficacy of the proposed model. Additionally, an improved understanding is achieved by comparing results obtained from Matlab simulations with analytical solutions. Moreover, sensitivity analysis on parameters affecting the concentrations is conducted. This mathematical model enhances comprehension of biochemical reactions in living organisms.

show abstract

Theoretical analysis of putrescine enzymatic biosensor with optical oxygen transducer in sensitive layer using Akbari–Ganji method

Cited by 13 publications

References 39 publications

Mathematical Investigation of Non-Linear Reaction-Diffusion Equations on Multiphase Flow Transport in the Entrapped-Cell Photobioreactor Using Asymptotic Methods

Mathematical Investigation of Non-Linear Reaction-Diffusion Equations on Multiphase Flow Transport in the Entrapped-Cell Photobioreactor Using Asymptotic Methods

Mathematical Modelling and Application of Analytical Methods for A Non-Linear EC2E Mechanism in Rotating Disk Electrode

Theoretical Analysis of Pre-Steady State Behaviour of Non-Linear Double Intermediate Enzymatic Reaction

Contact Info

Product

Resources

About