Mathematical Models for Sensing Devices Constructed out of Artificial Cell Membranes

William Hoiles; Vikram Krishnamurthy; Bruce Cornell

Nanoscale Systems: Mathematical Modeling, Theory and Applications (2012)

  • Volume: 1, page 143-171
  • ISSN: 2299-3290

Abstract

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This paper presents a review of ion channel based biosensors with a focus on the mathematical modeling of the stateof- the-art ion channel switch (ICS) biosensor and the novel cation specific (CS) sensor. The characteristics of the analyte present in the electrolyte, the ionic transport of chemical species, and the bioelectronic interface present in the ICS biosensor and CS sensor are modeled using ordinary and partial differential equations. The methodologies presented are important for modeling similar bioelectronic devices. Biosensors have applications in the fields of medicine, engineering, and biology. The recent emergence of biomimetically engineered nanomachine devices capable of measuring femto-molar concentrations of chemical species and the detection of channelopathies (ion channel disorders) makes them an attractive tool due to their high sensitivity and rapid detection rates. Beyond the continuum models used for the ICS and CS sensors, we present methods by which firstprinciple approaches such as molecular dynamics combined with stochastic methodologies can be used to obtain macrolevel parameters such as conductance and chemical reaction rates.

How to cite

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William Hoiles, Vikram Krishnamurthy, and Bruce Cornell. "Mathematical Models for Sensing Devices Constructed out of Artificial Cell Membranes." Nanoscale Systems: Mathematical Modeling, Theory and Applications 1 (2012): 143-171. <http://eudml.org/doc/267311>.

@article{WilliamHoiles2012,
abstract = {This paper presents a review of ion channel based biosensors with a focus on the mathematical modeling of the stateof- the-art ion channel switch (ICS) biosensor and the novel cation specific (CS) sensor. The characteristics of the analyte present in the electrolyte, the ionic transport of chemical species, and the bioelectronic interface present in the ICS biosensor and CS sensor are modeled using ordinary and partial differential equations. The methodologies presented are important for modeling similar bioelectronic devices. Biosensors have applications in the fields of medicine, engineering, and biology. The recent emergence of biomimetically engineered nanomachine devices capable of measuring femto-molar concentrations of chemical species and the detection of channelopathies (ion channel disorders) makes them an attractive tool due to their high sensitivity and rapid detection rates. Beyond the continuum models used for the ICS and CS sensors, we present methods by which firstprinciple approaches such as molecular dynamics combined with stochastic methodologies can be used to obtain macrolevel parameters such as conductance and chemical reaction rates.},
author = {William Hoiles, Vikram Krishnamurthy, Bruce Cornell},
journal = {Nanoscale Systems: Mathematical Modeling, Theory and Applications},
keywords = {Ion Channel Biosensors; Molecular Dynamics; Stochastic Dynamics; Poisson-Nernst-Planck; Disease Diagnosis and Medicine},
language = {eng},
pages = {143-171},
title = {Mathematical Models for Sensing Devices Constructed out of Artificial Cell Membranes},
url = {http://eudml.org/doc/267311},
volume = {1},
year = {2012},
}

TY - JOUR
AU - William Hoiles
AU - Vikram Krishnamurthy
AU - Bruce Cornell
TI - Mathematical Models for Sensing Devices Constructed out of Artificial Cell Membranes
JO - Nanoscale Systems: Mathematical Modeling, Theory and Applications
PY - 2012
VL - 1
SP - 143
EP - 171
AB - This paper presents a review of ion channel based biosensors with a focus on the mathematical modeling of the stateof- the-art ion channel switch (ICS) biosensor and the novel cation specific (CS) sensor. The characteristics of the analyte present in the electrolyte, the ionic transport of chemical species, and the bioelectronic interface present in the ICS biosensor and CS sensor are modeled using ordinary and partial differential equations. The methodologies presented are important for modeling similar bioelectronic devices. Biosensors have applications in the fields of medicine, engineering, and biology. The recent emergence of biomimetically engineered nanomachine devices capable of measuring femto-molar concentrations of chemical species and the detection of channelopathies (ion channel disorders) makes them an attractive tool due to their high sensitivity and rapid detection rates. Beyond the continuum models used for the ICS and CS sensors, we present methods by which firstprinciple approaches such as molecular dynamics combined with stochastic methodologies can be used to obtain macrolevel parameters such as conductance and chemical reaction rates.
LA - eng
KW - Ion Channel Biosensors; Molecular Dynamics; Stochastic Dynamics; Poisson-Nernst-Planck; Disease Diagnosis and Medicine
UR - http://eudml.org/doc/267311
ER -

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