Nonlinear effects of partitioning and diffusion limitation on the efficiency of three-layer enzyme bioreactors and potentiometric biosensors

IF 4.1 3区化学 Q1 CHEMISTRY, ANALYTICAL

Journal of Electroanalytical Chemistry Pub Date : 2024-10-11 DOI:10.1016/j.jelechem.2024.118698

Romas Baronas

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Abstract

The nonlinear effects of the partitioning and diffusion limitation on the efficiency of enzyme-based bioreactors and potentiometric biosensors are investigated analytically and numerically using a three-layer mathematical model involving the Michaelis–Menten type reaction in the transient and steady states. Analytical expressions of the steady state substrate and reaction product concentrations and the bioreactor effectiveness as well as biosensor output potential are presented for the first and zero-order reaction rates. Mathematical modelling of the diffusion limiting membrane and the conditions under which the same values of the steady state characteristics are obtained when simulating the treated system at different values of the diffusion and distribution coefficients are investigated. The effective diffusion coefficients in the total diffusion layer consisting of the diffusion limiting membrane and the outer diffusion (Nernst) layer are applied to reduce the three-layer model to the corresponding two-layer model. The dynamics and behaviour of the substrate consumption rate, product emission rate, effectiveness factor and the output potential are numerically investigated.

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分区和扩散限制对三层酶生物反应器和电位计生物传感器效率的非线性影响

利用涉及瞬态和稳态 Michaelis-Menten 反应的三层数学模型，分析和数值研究了分区和扩散限制对基于酶的生物反应器和电位计生物传感器效率的非线性影响。针对一阶和零阶反应速率，提出了稳态底物和反应产物浓度、生物反应器效率以及生物传感器输出电位的分析表达式。研究了扩散限制膜的数学模型，以及在不同的扩散系数和分布系数下模拟处理系统时获得相同稳态特征值的条件。应用由扩散限制膜和外扩散（奈恩斯特）层组成的总扩散层中的有效扩散系数，将三层模型简化为相应的两层模型。数值研究了基质消耗率、产物排放率、有效因子和输出势能的动态和行为。

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来源期刊

Journal of Electroanalytical Chemistry 化学-电化学

CiteScore

7.80

自引率

6.70%

发文量

912

审稿时长

2.4 months

期刊介绍： The Journal of Electroanalytical Chemistry is the foremost international journal devoted to the interdisciplinary subject of electrochemistry in all its aspects, theoretical as well as applied. Electrochemistry is a wide ranging area that is in a state of continuous evolution. Rather than compiling a long list of topics covered by the Journal, the editors would like to draw particular attention to the key issues of novelty, topicality and quality. Papers should present new and interesting electrochemical science in a way that is accessible to the reader. The presentation and discussion should be at a level that is consistent with the international status of the Journal. Reports describing the application of well-established techniques to problems that are essentially technical will not be accepted. Similarly, papers that report observations but fail to provide adequate interpretation will be rejected by the Editors. Papers dealing with technical electrochemistry should be submitted to other specialist journals unless the authors can show that their work provides substantially new insights into electrochemical processes.