2014
DOI: 10.1016/j.cma.2014.06.006
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Use and comparative assessment of the CVFEM method for Poisson–Boltzmann and Poisson–Nernst–Planck three dimensional simulations of impedimetric nano-biosensors operated in the DC and AC small signal regimes

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Cited by 33 publications
(15 citation statements)
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“…Following the assumption that the bulk concentration c 0 is much larger than c i1 , c 0 ≫ c i1 this model has an analytical solution and can serve as a benchmark for the numerical computations . The application of PNP with slight modifications is used for Li‐batteries simulation,, transport, biosensors, etc .…”
Section: Circuit Modelling Data Interpretation and Validationmentioning
confidence: 99%
“…Following the assumption that the bulk concentration c 0 is much larger than c i1 , c 0 ≫ c i1 this model has an analytical solution and can serve as a benchmark for the numerical computations . The application of PNP with slight modifications is used for Li‐batteries simulation,, transport, biosensors, etc .…”
Section: Circuit Modelling Data Interpretation and Validationmentioning
confidence: 99%
“…A microsphere induces position-dependent changes in the electrodes' switching capacitances, ΔC exp . To quantitatively elucidate the signal transduction mechanism, we performed extensive three-dimensional finite-element simulations (Supplementary Sections IV and V) based on the Poisson-Nernst-Planck formalism 14 in the frequency domain using a numerical simulator reported previously 15 . Figure 1e shows a map of the a.c. potential amplitude generated by three electrodes in 150 mM salt at zero d.c. bias and a 10 kHz modulation frequency typical of conventional electrochemical impedance spectroscopy 14,16 .…”
mentioning
confidence: 99%
“…For the ion-penetrable bacterial cell wall, the ionic diffusion coefficient is assumed 40% of the one of the surrounding electrolyte [26]. The ion transport is described by the Nernst-Planck equation [20,34,35]:…”
Section: Constitutive Equationsmentioning
confidence: 99%
“…Instead of analytical models, 2D or 3D electrostatic simulations have been reported to accurately quantify the sensitivity to bacterial cells depending on their random positions on the 3D electrode topology [16], their number [16,17] and the thickness of the passivation layer [13]. Such 2D or 3D simulations have also been implemented to analyze the impact of the applied frequency on the sensor impedance [18] and sensitivity [19][20][21] of nanometer-scale biomolecules.…”
Section: Introductionmentioning
confidence: 99%