Journal
JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE
Volume 7, Issue 12, Pages 2574-2580Publisher
AMER SCIENTIFIC PUBLISHERS
DOI: 10.1166/jctn.2010.1644
Keywords
Nanowire; Field-Effect Biosensor; Stochastic Poisson-Boltzmann Equation; Fluctuation; Noise; Multiscale Problem; Homogenization
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Funding
- OAW (Austrian Academy of Sciences)
- FWF (Austrian Science Fund) [P20871-N13]
- Austrian Science Fund (FWF) [P20871] Funding Source: Austrian Science Fund (FWF)
- Austrian Science Fund (FWF) [P 20871] Funding Source: researchfish
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Fluctuations in the biofunctionalized boundary layers of nanowire field-effect biosensors are investigated by using the stochastic linearized Poisson-Boltzmann equation. The noise and fluctuations considered here are due to the Brownian motion of the biomolecules in the boundary layer, i.e., the various orientations of the molecules with respect to the surface are associated with their probabilities. The probabilities of the orientations are calculated using their free energy. The fluctuations in the charge distribution give rise to fluctuations in the electrostatic potential and hence in the current through the semiconductor transducer of the sensor, both of which are calculated. A homogenization result for the variance and covariance of the electrostatic potential is presented. In the numerical simulations, a cross section of a silicon nanowire on a flat surface including electrode and back-gate contacts is considered. The biofunctionalized boundary layer contains single-stranded or double-stranded DNA oligomers, and varying values of the surface charge, of the oligomer length, and of the electrolyte ionic strength are investigated.
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