Surya K. Ghosh, Tapanendu Kundu, Anirban Sain
We model a biosensor as a reaction-diffusion process in a confined geometry. When a solution containing unknown concentration of antigens are injected into the closed chamber of the sensor, the antigens diffuse and react with a functionalised surface. These surface reactions are then converted to an optical signal, the intensity of which indicates the level of antigen content in the solution. We probe the spatio-temporal behavior of the system by studying the governing equations, using mean field approximation and numerical integration. Mean field analysis gives important insights about the dynamics, but in order to compare with real experiments and extract the values of the relevant kinetic parameters, numerical integration was necessary. We track down the operating conditions for quick and efficient response of the sensor.
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http://arxiv.org/abs/1203.6330
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