Prof. Robert S. Eisenberg Profile

Prof. Robert S. Eisenberg

at Rush Univ Medical Ctr

SPIE Involvement:

Author

Proceedings Article | 8 June 2007 Paper

On selectivity and gating of ionic channels

D. Luchinsky, R. Tindjong, P. McClintock, I. Kaufman, R. Eisenberg

Proceedings Volume 6602, 66020D (2007) https://doi.org/10.1117/12.724703

KEYWORDS: Ions, Proteins, Sodium, Mouth, Dielectrics, Modulation, Ion channels, Motion models, Chlorine, Modeling

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Proceedings Article | 8 June 2007 Paper

Self-consistent analytic solution for the current and access resistance in open ionic channels

D. Luchinsky, R. Tindjong, P. McClintock, I. Kaufman, R. Eisenberg

Proceedings Volume 6602, 66020E (2007) https://doi.org/10.1117/12.724692

KEYWORDS: Ions, Mouth, Resistance, Proteins, Dielectrics, Ion channels, Diffusion, Analytical research, Chemical species, Spherical lenses

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Proceedings Article | 25 May 2004 Paper

Ionic current through an open channel: a low-dimensional model of coupling with vibrations of the wall

Rodrigue Tindjong, Alan Applegate, Robert Eisenberg, Igor Kaufman, Dimitry Luchinsky, Peter McClintock

Proceedings Volume 5467, (2004) https://doi.org/10.1117/12.548573

KEYWORDS: Ions, Motion models, Modulation, Chemical elements, Mouth, Biological research, Particles, Ion channels, Physics, Motion analysis

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Proceedings Article | 25 May 2004 Paper

Models of boundary behavior of particles diffusing between two concentrations

Amit Singer, Zeev Schuss, Boaz Nadler, Robert Eisenberg

Proceedings Volume 5467, (2004) https://doi.org/10.1117/12.548257

KEYWORDS: Particles, Diffusion, Ions, Control systems, Particle systems, Mathematical modeling, Proteins, Device simulation, Electrodes, Biophysics

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Flux between regions of different concentration occurs in nearly every device involving diffusion, whether an electrochemical cell, a bipolar transistor, or a protein channel in a biological membrane. Diffusion theory has calculated that flux since the time of Fick (1855), and the flux has been known to arise from the stochastic behavior of Brownian trajectories since the time of Einstein (1905), yet the mathematical description of the behavior of trajectories corresponding to different types of boundaries is not complete. We consider the trajectories of non-interacting particles diffusing in a finite region connecting two baths of fixed concentrations. Inside the region, the trajectories of diffusing particles are governed by the Langevin equation. At the interface between the region and the baths, trajectories are set by a control mechanism that modifies dynamics so the concentration of particles remains (nearly) constant. We analyze different models of controllers and derive equations for the time evolution and spatial distribution of particles inside the domain. Our analysis shows a distinct difference between the time evolution and the steady state concentrations. While the time evolution of the density is governed by an integral operator, the spatial distribution is governed by the familiar Fokker-Planck operator. The boundary conditions for the time dependent density depend on the model of the controller; however, this dependence disappears in the steady state, if the controller is of a renewal type. Renewal-type controllers, however, produce spurious boundary layers that can be catastrophic in simulations of charged particles, because even a tiny net charge can have global effects. The design of a non-renewal controller that maintains concentrations of non-interacting particles without creating spurious boundary layers at the interface requires the solution of the time-dependent Fokker-Planck equation with absorption of outgoing trajectories and a source of ingoing trajectories on the boundary (the so called albedo problem).

Proceedings Article | 11 October 1994 Paper

Detecting ionic currents in single channels using wavelet analysis, part I: zero mean Gaussian noise

Amir Averbuch, R. Eisenberg, M. Israeli, Z. Schuss

Proceedings Volume 2303, (1994) https://doi.org/10.1117/12.188812

KEYWORDS: Wavelets, Wavelet transforms, Signal detection, Smoothing, Detection and tracking algorithms, Edge detection, Statistical analysis, Interference (communication), Denoising, Wave propagation

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Conference Committee Involvement (1)

Fluctuations and Noise in Biological, Biophysical, and Biomedical Systems II

26 May 2004 | Maspalomas, Gran Canaria Island, Spain

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