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Numerical simulation of hydrogel-based pH-responsive biosensors in BioMEMS

机译：BioMEMS中基于水凝胶的pH响应生物传感器的数值模拟

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摘要

Applications of hydrogels in BioMEMS as mircoscale sensors/actuators have increasingly driven wide range effort of researchers since the bio-stimuli-responsive phenomena of hydrogels are observed, including the stimulation of pH, antigens, glucose, temperatures, pressure, etc. However, most of the studies are conducted through experimental works. A few theoretical works done are based on some over simplified assumptions. In this paper, a mathematical model, based on the chemo-electro-mechanical coupling formulations, is presented and known as the Multi-Effect-Coupling for pH-stimulus (MECpH) model. The MECpH model is developed to simulate the response of pH-sensitive hydrogels stimulated by pH value of the surrounding solution. This mathematical model is constructed from the nonlinear partial differential Nernst-Planck diffusive equations for diffusing ion species, and coupled with both the Poisson equations for electric potential and mechanical equilibrium equation for deformation of hydrogels. In order to solve the present MECpH model, consisting of a set of coupled nonlinear partial differential equations, a novel meshless technique, Hermite-Cloud method, is employed to simulate the responsive performance of the pH-sensitive hydrogels with varying pH in the bathing solution. Finally, one-dimensional steady-state simulations are carried out and compared with experimental results. It is shown that the presently developed MECpH model can simulate numerically and predict accurately the swelling response of the pH-responsive hydrogel.
机译：自从观察到水凝胶的生物刺激响应现象（包括对pH值，抗原，葡萄糖，温度，压力等的刺激）以来，水凝胶在BioMEMS中作为微尺度传感器/执行器的应用就日益推动研究人员的广泛努力。这些研究是通过实验工作进行的。完成的一些理论工作是基于一些简化的假设。在本文中，提出了一种基于化学-电-机械耦合公式的数学模型，该模型被称为pH刺激的多效应耦合（MECpH）模型。开发MECpH模型以模拟由周围溶液的pH值刺激的pH敏感水凝胶的响应。该数学模型由用于扩散离子种类的非线性偏微分Nernst-Planck扩散方程构建，并与电势的泊松方程和水凝胶变形的机械平衡方程相结合。为了解决由一组耦合的非线性偏微分方程组成的当前MECpH模型，采用一种新颖的无网格技术Hermite-Cloud方法来模拟pH敏感水凝胶在沐浴溶液中pH值变化的响应性能。 。最后，进行一维稳态仿真并将其与实验结果进行比较。结果表明，目前开发的MECpH模型可以数值模拟并准确预测pH响应水凝胶的溶胀响应。

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