Temporal response of biochemical and biological sensors with bimodal surface adsorption from a finite sample

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TECHNICAL PAPER

Temporal response of biochemical and biological sensors with bimodal surface adsorption from a finite sample Ivana Jokic´1



Olga Jaksˇic´1



Milosˇ Frantlovic´1



Zoran Jaksˇic´1 • Koushik Guha2



Karumuri Srinivasa Rao3

Received: 16 September 2020 / Accepted: 26 September 2020 Ó Springer-Verlag GmbH Germany, part of Springer Nature 2020

Abstract The importance of adsorption-based biochemical/biological sensors in biochemistry and biophysics is paramount. Their temporal response gives information about the presence of a biochemical/biological analyte, its concentration and its interactions with the adsorption sites (which may be an integral part of the surface itself or immobilized functionalizing molecules). Mathematical models of the temporal response taking into account as many relevant effects as possible are essential for obtaining reliable information. We present a novel model taking into account the bimodal affinity of a sensing surface (adsorption occurs on two distinct site types), and the adsorption-caused depletion of the analyte from the sample. We perform qualitative and quantitative analysis of the analyte depletion influence on the bimodal adsorption, and of the influence of the sensing surface inhomogeneity on the sensor temporal response, for different analyte concentrations and different fractions of two types of adsorption sites. Since the presented mathematical model deals with the realistic cases of the sensing surface non-uniformity and the finite amount of analyte present in the sensor reaction chamber, it enables improved accuracy in interpreting the measurement data. Our results are general, i.e. valid for any adsorption sensor (microcantilevers, plasmonics) and for arbitrary sensor dimensions.

1 Introduction In the vast fields of biochemistry and biophysics, the devices intended for sensing of biochemical or biological analytes and their interactions play one of the crucial roles (Ram and Bhethanabotla 2018). Among them are the affinity-based micro/nanosensors that make use of reversible adsorption of target analyte particles as a mechanism of the analyte recognition and sensor response generation (Rogers and Mulchandani 1998). Examples include microcantilever or nanocantilever-based MEMS sensors & Olga Jaksˇic´ [email protected] 1

Center of Microelectronic Technologies, Institute of Chemistry, Technology and Metallurgy, National Institute of the Republic of Serbia, University of Belgrade, 11000 Belgrade, Serbia

2

National MEMS Design Centre, Department of Electronics and Communication Engineering, National Institute of Technology, Silchar, Assam, Silchar 788010, India

3

Head of Microelectronics Research Group, Department of Electronics and Communication Engineering, KL University, Green Fields, Vaddeswaram, Gunter, Andhra Pradesh 522502, India

(Hansen and Thundat 2005) and plasmonic devices that utilize evanescent surface electromagnetic waves (Choi and Choi 2011). The affinity-based micro and nanosyst