Amperometric biosensors and coupled enzyme nonlinear reactions processes: A complete theoretical and numerical approach

Sylvia, S. Vinolyn; Salomi, R. Joy; Rajendran, L.; Lyons, Michael E. G.

doi:10.1016/j.electacta.2022.140236

Cited by 10 publications

(2 citation statements)

References 29 publications

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“…This method would find and add a small parameter to the equation, utilizing the traditional perturbation method while eliminating its limitations. Numerous studies have used HPM to formulate an analytical solution for non-linear equations in various engineering and physical problems [31][32]. This approach combines traditional perturbation techniques with the topological concept of homotopy.…”

Section: An Approximative Analytical Expression For the Concentration...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.

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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.

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Section: An Approximative Analytical Expression For the Concentration...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.

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“…Therefore, to reduce the detection time and to develop much less expensive and simple point-of-care tests, novel sensing methods have been investigated in the past years. These methods and approaches include among others fluorescent labeling [16], the use of amperometric biosensors [17], piezoelectric biosensors [18], and polymerase chain reaction (PCR) [19].…”

Section: Introductionmentioning

confidence: 99%

Impact of Surface Area on Sensitivity in Autonomously Reporting Sensing Hydrogel Nanomaterials for the Detection of Bacterial Enzymes

Kinyua

Owino²,

Kaur³

et al. 2022

Chemosensors

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The rapid and selective detection of bacterial contaminations and bacterial infections in a non-laboratory setting using advanced sensing materials holds the promise to enable robust point-of-care tests and rapid diagnostics for applications in the medical field as well as food safety. Among the various possible analytes, bacterial enzymes have been targeted successfully in various sensing formats. In this current work, we focus on the systematic investigation of the role of surface area on the sensitivity in micro- and nanostructured autonomously reporting sensing hydrogel materials for the detection of bacterial enzymes. The colorimetric sensing materials for the detection of β-glucuronidase (ß-GUS) from Escherichia coli (E. coli) were fabricated by template replication of crosslinked pullulan acetoacetate (PUAA) and by electrospinning chitosan/polyethylene oxide nanofibers (CS/PEO NFs), both equipped with the chromogenic substrate 5-bromo-4-chloro-3-indolyl-β-D-glucuronide. The investigation of the dependence of the initial reaction rates on surface area unveiled a linear relationship of rate and thereby time to observe a signal for a given concentration of bacterial enzyme. This knowledge was exploited in nanoscale sensing materials made of CS/PEO NFs with diameters of 295 ± 100 nm. Compared to bulk hydrogel slabs, the rate of hydrolysis was significantly enhanced in NFs when exposed to bacteria suspension cultures and thus ensuring a rapid detection of living E. coli that produces the enzyme β-GUS. The findings afford generalized design principles for the improvement of known and novel sensing materials towards rapid detection of bacteria by nanostructuring in medical and food related settings.

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Theoretical analysis of homogeneous catalysis of electrochemical reactions: steady-state current–potential

Rani

Rajendran

Abukhaled

2023

Reac Kinet Mech Cat

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Amperometric biosensors and coupled enzyme nonlinear reactions processes: A complete theoretical and numerical approach

Cited by 10 publications

References 29 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

Impact of Surface Area on Sensitivity in Autonomously Reporting Sensing Hydrogel Nanomaterials for the Detection of Bacterial Enzymes

Theoretical analysis of homogeneous catalysis of electrochemical reactions: steady-state current–potential

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