Calculation of fluctuations in boundary layers of nanowire field-effect biosensors

Clemens Heitzinger, Yang Liu, Norbert J. Mauser, Christian Ringhofer, Robert W. Dutton

Research output: Contribution to journalArticle

27 Citations (Scopus)

Abstract

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.

Original languageEnglish (US)
Pages (from-to)2574-2580
Number of pages7
JournalJournal of Computational and Theoretical Nanoscience
Volume7
Issue number12
DOIs
StatePublished - Dec 2010

Fingerprint

Biosensor
Nanowires
bioinstrumentation
Biosensors
Boundary Layer
boundary layers
Boundary layers
nanowires
Fluctuations
Oligomers
Electrostatics
oligomers
Boltzmann equation
Brownian movement
Charge distribution
Charge
Biomolecules
Silicon
Surface charge
electrostatics

Keywords

  • Field-effect biosensor
  • Fluctuation
  • Homogenization
  • Multiscale problem
  • Nanowire
  • Noise
  • Stochastic Poisson-Boltzmann equation

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Electrical and Electronic Engineering
  • Materials Science(all)
  • Computational Mathematics
  • Chemistry(all)

Cite this

Calculation of fluctuations in boundary layers of nanowire field-effect biosensors. / Heitzinger, Clemens; Liu, Yang; Mauser, Norbert J.; Ringhofer, Christian; Dutton, Robert W.

In: Journal of Computational and Theoretical Nanoscience, Vol. 7, No. 12, 12.2010, p. 2574-2580.

Research output: Contribution to journalArticle

Heitzinger, Clemens ; Liu, Yang ; Mauser, Norbert J. ; Ringhofer, Christian ; Dutton, Robert W. / Calculation of fluctuations in boundary layers of nanowire field-effect biosensors. In: Journal of Computational and Theoretical Nanoscience. 2010 ; Vol. 7, No. 12. pp. 2574-2580.
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