Abstract
A mathematical modelling of diagnostic biosensors system at three basic types of enzyme kinetics is discussed in the presence of diffusion. Enzyme kinetics is adopted to be first order, Michaelis-Menten and ping-pong mechanism. In this paper, approximate analytical solutions are obtained for the non-linear equations under steady-state conditions by using the new Homotopy perturbation method. Simple and closed forms of analytical expressions for concentrations of substrate, product and co-substrate and corresponding current response have been derived for all possible values of parameters. Furthermore, the numerical simulation of the problem is also reported here by using Matlab program. Good agreement between analytical and numerical results is noted.
Highlights
A biosensor is an analytical device used for the detection of an analyte that combines a biological component with a physicochemical detector [1] [2]
A mathematical modelling of diagnostic biosensors system at three basic types of enzyme kinetics is discussed in the presence of diffusion
A mathematical model that describes the steady-state response of a two parameters diagnostic of biosensor is discussed
Summary
A biosensor is an analytical device used for the detection of an analyte that combines a biological component with a physicochemical detector [1] [2]. The earlier biosensors were catalytic systems that integrated especially enzymes with transducers that converted the biological response into an electronic signal. The generation of biosensors, took advantage of different biological elements, such as antibodies, receptors (natural or synthetic), or nucleic acids [3] [4]. Biosensors for environmental application include the detection of harmful bacteria or pesticides in air, water, or food. New technologies are likely to encompass all-printed systems capitalising on the printed electronics revolution. T. Preethi et al 494 and systems with high compatibility with future mobile technology such as tablets and 4G phones [5]
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