2003
DOI: 10.1016/s1567-5394(03)00052-5
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Modeling of ionic relaxation around a biomembrane disk

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Cited by 8 publications
(3 citation statements)
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“…The motion of molecules are described by the three-dimensional random walk algorithm [15,21,22]. Yet despite its simplicity, random walk simulations can yield accurate results for complex processes and it has been used in a wide range of applications including electrodeposition [22][23][24][25], ionic relaxation around an electrode [26] or biomembrane [27], diffusional interacting at microelectrodes [28][29][30], as well as neurotransmitter dynamics [31,32]. In the random walk simulation, the molecule is allowed to take a step Dl either forward or backward randomly in each x, y and z directions after a fixed interval Dt.…”
Section: Theoretical Model and Simulation Methodsmentioning
confidence: 99%
“…The motion of molecules are described by the three-dimensional random walk algorithm [15,21,22]. Yet despite its simplicity, random walk simulations can yield accurate results for complex processes and it has been used in a wide range of applications including electrodeposition [22][23][24][25], ionic relaxation around an electrode [26] or biomembrane [27], diffusional interacting at microelectrodes [28][29][30], as well as neurotransmitter dynamics [31,32]. In the random walk simulation, the molecule is allowed to take a step Dl either forward or backward randomly in each x, y and z directions after a fixed interval Dt.…”
Section: Theoretical Model and Simulation Methodsmentioning
confidence: 99%
“…Then, the charge of the electroactive species is suddenly changed ͑it becomes Ϫ1 for the solute placed near the cathode and ϩ1 for the anode͒, and the subsequent relaxation of the surrounding ionic atmosphere is observed performing nonequilibrium Brownian dynamics simulations, as already employed in the litterature. 33,34 The jump of the charge mimics the electron transfer which occurs during an electrochemical reaction at the electrode, and takes place within the femtosecond time scale, i.e., well below any time scale considered in this study. Parameters describing the system are chosen to be closest to the conditions of standard electrochemical experiments: the supporting electrolyte is a 1:1 electrolyte at concentrations in the range 0.1 to 1.0 mol L Ϫ1 , surface charges are moderate ͑Ӎ0.05 C m Ϫ2 ͒ and the electroactive species is about 100 times more dilute than the smallest electrolyte concentration (10 Ϫ3 mol L Ϫ1 ).…”
Section: Introductionmentioning
confidence: 94%
“…This specific method has been used to explore dual microdisk chronoamperometry [17], finite volume spherical electrodes [18], microdisk electrode arrays in two dimensions [19,20], neurodynamics [21,22], deposition [23][24][25], and ionic relaxation at a biomembrane [26] and at an electrode [27]. Amatore et al also probed moving boundary diffusion with aggregation [28] and protein cluster formation [29] in two dimensions using a Gaussian method [30].…”
Section: Introductionmentioning
confidence: 99%