Brownian Dynamics
Brownian dynamics simulations of iconic current through an open channel
... Abstract. Ionic motion through an open ion channel is analyzed within the framework of self- consistent Brownian dynamics. A novel conceptual model in which the ions motion is coupled to the vibrations of ...
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Introduction Overview Brownian Dynamics Poisson solver Simulation results Conclusion
... Discrete source charges Particle-particle interactions are accounted for through the application of Coulomb's Law Polarization effects are taken into account by adding to the system pola[r] ...
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Coulomb blockade model of permeation and selectivity in biological ion channels
... channels [19, 62]. These channels exhibit strong valence selectivity and can undergo a wide range of transformations as the result of site-directed mutagenesis, enabling us to test many of the predictions of our model. ...
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Guan_unc_0153D_16368.pdf
... Brownian dynamics is a mesoscopic method for simulating the diffusive behavior of particles which undergoes Brownian motion in ...In Brownian dynamics, the solvent is treated as a ...
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Hydrodynamic Interactions Introduce Differences in the Behaviour of a Ratchet Dimer Brownian Motor
... the Brownian dynamics with hydrodynamic interactions simulation in order to describe the movement of an elastically coupled dimer Brownian motor in a ratchet ...the dynamics of a ratchet dimer ...
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Poisson-Nernst-Planck-Fermi Theory for Ion Channels
... classical PNP model fails to yield ionic concentrations and currents properly compared with those of Brownian dynamics, especially for narrow channels, because the classical model does n[r] ...
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Stochastic dynamics of remote knock on permeation in biological ion channels
... recent Brownian dynamics (BD) investiga- tions of a simple model channel, we have obtained results that illuminate the permeation process by demonstrating the exis- tence of an additional knock-on ...
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Energetics of discrete selectivity bands and mutation-induced transitions in the calcium-sodium ion channels family
... In summary, Brownian dynamics simulations of ionic conductance for a generic model of the calcium-sodium channel family for different values of the negative charge at the selectivity fil[r] ...
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Photosynthetic Electron Transfer by Dint of Protein Mobile Carriers. Multi-particle Brownian and Molecular Modeling
... the Brownian dynamics method we repeatedly simulated the processes of approach and mutual orientation of ...the Brownian motion revealed various energetically favorable metastable states in the ...
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Coulomb blockade model of permeation and selectivity in biological ion channels
... and dynamics of moving ions and water molecules within the narrow selectivity ...of Brownian dynamics with uncorrelated noise sources for the charged particles; and the assumption of 1D ...
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Wavelet Monte Carlo dynamics : a new algorithm for simulating the hydrodynamics of interacting Brownian particles
... the Brownian dynamics of soft matter systems that evolves time by spatially correlated Monte Carlo ...and Brownian dynamics algorithms, the wavelet method was found to be only a factor of ...
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Individual Particle Motion in Colloids: Microviscosity, Microdiffusivity, and Normal Stresses
... the Brownian motion which acts to restore a uniform ...with Brownian dynamics simulations, as well as the stress computed via a traditional micromechanical (statistical mechanics) ...
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Simulating the flow of some non-Newtonian fluids with neural-like networks and stochastic processes
... Contents xvii AIN Approximate Identity Networks AVGDD Adaptive Velocity Gradient Domain Decomposition BCF Brownian Configuration Fields BDS Brownian Dynamics Simulation BEM Boundary Elem[r] ...
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Simulating the flow of some non-Newtonian fluids with neural-like networks and stochastic processes
... using Brownian dynamics from the Lagrangian point of view, namely CONNFFESSIT, have been introduced as a robust method to solve the viscoelastic problems without the requirement of closed-form con- ...
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Cosmology in a petri dish? Simulation of collective of colloids at fluid interfaces
... the dynamics of colloidal particles which are trapped at a fluid interface and subject to long–ranged capillary ...the dynamics of systems with long–ranged interactions. We used Brownian ...
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Multiple G Stratonovich Integral Driven by G Brownian Motion
... of Brownian motion in G-expectation space, we not only introduce the multiple G-Stratonovish integral of Brownian motion but also obtain the relationship between Hermite polynomials and multiple ...
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A Lévy-Ciesielski expansion for quantum Brownian motion and the construction of quantum Brownian bridges
... tum Brownian motion in terms of families of pairs of self-adjoint opera- ...space Brownian motion in terms of the canonical pair ((Q(t), P (t)), t ≥ 0) where Q(t) = a(1 [0,t) ) + a † (1 [0,t) ) and P (t) = ...
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Dyson's Brownian motions, intertwining and interlacing
... reflected Brownian motion in the Gelfand-Tsetlin cone is used to construct Dyson’s process of non-colliding Brownian ...of Brownian paths with paths belonging to the second family reflected off paths ...
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Brownian motion and the distance to a submanifold
... holds off the cut locus of N. Geometric conditions under which such an inequality arises, which allow for unbounded curvature, are given by Theorem 1 (see Corollary 2), which is derived from the classical Heintze-Karcher ...
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Manuscript Title & Authors
... Abstract : The purpose of this article is to extend numerous results from a classical stopping time in Brownian motion to a stopping line in set-indexed Brownian motion. In particular, we have advanced the ...
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