Calculation of the Response of Field-Effect Transistors to Charged Biological Molecules
Robust approximations are presented that allow for the simple calculation of the total charge and potential drop psi 0 across the region of electrolyte containing charged biological macromolecules that are attached to the gate area of a field-effect transistor (FET). The attached macromolecules are...
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Published in | IEEE sensors journal Vol. 7; no. 9; pp. 1233 - 1242 |
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Main Authors | , , , , , |
Format | Journal Article |
Language | English |
Published |
New York
IEEE
01.09.2007
The Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
Subjects | |
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Abstract | Robust approximations are presented that allow for the simple calculation of the total charge and potential drop psi 0 across the region of electrolyte containing charged biological macromolecules that are attached to the gate area of a field-effect transistor (FET). The attached macromolecules are modeled as an ion-permeable membrane in contact with the insulator surface, exchanging protons with the electrolyte as described by the site-binding model. The approximations are based on a new screening length involving the Donnan potential in the membrane and are validated by comparison to the results obtained by numerical solution of the one-dimensional Poisson-Boltzmann equation in the electrolyte and membrane. For gates covered with amphoteric materials such as SiO 2 , the high surface charge density sigma 0 due to proton exchange at values of pH far from the point-of-zero charge is a nonlinear function of psi 0 , but psi 0 and sigma 0 are still linear functions of the semiconductor surface potential between the source and drain. Nonlinear expressions for the amphoteric site charge at the contacts can thus be applied effectively with the new approximations to calculate the current-voltage characteristics of the FETs using the strong inversion and charge-sheet models. |
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AbstractList | Robust approximations are presented that allow for the simple calculation of the total charge and potential drop psi 0 across the region of electrolyte containing charged biological macromolecules that are attached to the gate area of a field-effect transistor (FET). The attached macromolecules are modeled as an ion-permeable membrane in contact with the insulator surface, exchanging protons with the electrolyte as described by the site-binding model. The approximations are based on a new screening length involving the Donnan potential in the membrane and are validated by comparison to the results obtained by numerical solution of the one-dimensional Poisson-Boltzmann equation in the electrolyte and membrane. For gates covered with amphoteric materials such as SiO 2 , the high surface charge density sigma 0 due to proton exchange at values of pH far from the point-of-zero charge is a nonlinear function of psi 0 , but psi 0 and sigma 0 are still linear functions of the semiconductor surface potential between the source and drain. Nonlinear expressions for the amphoteric site charge at the contacts can thus be applied effectively with the new approximations to calculate the current-voltage characteristics of the FETs using the strong inversion and charge-sheet models. For gates covered with amphoteric materials such as SiO2, the high surface charge density sigma0 due to proton exchange at values of pH far from the point-of-zero charge is a nonlinear function of psi0, but psi0 and sigma0 are still linear functions of the semiconductor surface potential between the source and drain. Robust approximations are presented that allow for the simple calculation of the total charge and potential drop psi sub(0) across the region of electrolyte containing charged biological macromolecules that are attached to the gate area of a field-effect transistor (FET). The attached macromolecules are modeled as an ion-permeable membrane in contact with the insulator surface, exchanging protons with the electrolyte as described by the site-binding model. The approximations are based on a new screening length involving the Donnan potential in the membrane and are validated by comparison to the results obtained by numerical solution of the one-dimensional Poisson-Boltzmann equation in the electrolyte and membrane. For gates covered with amphoteric materials such as SiO sub(2), the high surface charge density sigma sub(0) due to proton exchange at values of pH far from the point-of-zero charge is a nonlinear function of psi sub(0), but psi sub(0) and sigma sub(0) are still linear functions of the semiconductor surface potential between the source and drain. Nonlinear expressions for the amphoteric site charge at the contacts can thus be applied effectively with the new approximations to calculate the current-voltage characteristics of the FETs using the strong inversion and charge-sheet models. Robust approximations are presented that allow for the simple calculation of the total charge and potential drop psi@@d0@ across the region of electrolyte containing charged biological macromolecules that are attached to the gate area of a field-effect transistor (FET). The attached macromolecules are modeled as an ion-permeable membrane in contact with the insulator surface, exchanging protons with the electrolyte as described by the site- binding model. The approximations are based on a new screening length involving the Donnan potential in the membrane and are validated by comparison to the results obtained by numerical solution of the one- dimensional Poisson-Boltzmann equation in the electrolyte and membrane. For gates covered with amphoteric materials such as SiO@@d2@, the high surface charge density sigma@@d0@ due to proton exchange at values of pH far from the point-of-zero charge is a nonlinear function of psi@@d0@, but psi@@d0@ and sigma@@d0@ are still linear functions of the semiconductor surface potential between the source and drain. Nonlinear expressions for the amphoteric site charge at the contacts can thus be applied effectively with the new approximations to calculate the current-voltage characteristics of the FETs using the strong inversion and charge-sheet models. |
Author | Landheer, D. Shinwari, M.W. Weihong Jiang Deen, M.J. McKinnon, W.R. Aers, G. |
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Cites_doi | 10.1109/T-ED.1982.20665 10.1021/jp963056h 10.1063/1.2345466 10.1109/T-ED.1972.17474 10.1063/1.442812 10.1021/ma970381+ 10.1016/j.bios.2004.08.010 10.1063/1.2008354 10.1016/0956-5663(91)85009-L 10.1109/T-ED.1983.21284 10.1016/0021-9797(88)90230-5 10.1016/S0022-0728(83)80030-8 10.1016/S0956-5663(01)00282-2 10.1039/f19747001807 10.1063/1.2355542 10.1016/S0925-4005(99)00102-1 10.1016/j.snb.2005.03.083 |
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Snippet | Robust approximations are presented that allow for the simple calculation of the total charge and potential drop psi 0 across the region of electrolyte... For gates covered with amphoteric materials such as SiO2, the high surface charge density sigma0 due to proton exchange at values of pH far from the... Robust approximations are presented that allow for the simple calculation of the total charge and potential drop psi@@d0@ across the region of electrolyte... Robust approximations are presented that allow for the simple calculation of the total charge and potential drop psi sub(0) across the region of electrolyte... |
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SubjectTerms | Algorithms Approximation Biological system modeling biomedical transducers Biomembranes Biosensors Charge Electrolytes FETs field-effect transistors (FETs) Insulation Macromolecules Mathematical analysis Mathematical models Membranes modeling Molecular biophysics Optical signal processing Poisson equations Protons Semiconductor materials Semiconductors Studies |
Title | Calculation of the Response of Field-Effect Transistors to Charged Biological Molecules |
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