Global ETD Search
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Showing 1 to 9 of 9 for “"First Passage Times"”.
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Random walks conditioned to stay positive
… := inf{n ≥ 1 : x + S<sub>n</sub> ≤ 0} — the first passage times. For x ≥ 0 we study the asymptotic expansion for the tail distribution P(t<sub>x</sub> > n) under the condition that one-step distribution has finite high moments. We also derive asymptotic expansion for local probabilities …
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Extracting Equilibrium From Nonequilibrium: Free Energy Calculation From Steered Molecular Dynamics Simulations
… paths is discussed: a new method based on mean first-passage times is proposed and is applied to the excitation migration in photosynthesis.
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Some aspects of time-dependent one-dimensional random walks
… of classical interest are discussed such as first-passage times, first maxima, the time of occurrence of the rth return to zero, and the number of returns to zero during an arbitrary time interval (0,t). In addition to the discussion of these topics for ∞²/M/M and M/M/1, probability density …
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Extracting Equilibrium From Nonequilibrium: Free Energy Calculation From Steered Molecular Dynamics Simulations
… paths is discussed: a new method based on mean first-passage times is proposed and is applied to the excitation migration in photosynthesis.
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On the reaction coordinate optimality for reversible aggregation kinetics
… contribution, we employ a suitable separation of timescales in a way that the more usual energy variable can also be used as a reliable reaction coordinate. In particular, we validate our previously introduced analytical expressions for the aggregation and dilution rates, which are based on the …
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Stochastic Modeling and Simulations of Biological Transport
… of dimensionality reduction but correlation times play a crucial role in the overall search times. Finally, a more general field of stochastic processes, namely first-passage time process is investigated. Explicit expressions of important properties, such as splitting probailities and mean …
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Steered molecular dynamics: a tool to investigate molecular interactions
… equations, together with the theory of first passage times. These models demonstrate that picosecond to nanosecond simulations of ligand unbinding result in protein-ligand motion far from the thermally activated regime of millisecond atomic force microscopy experiments. It is also …
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Analysing First Passage Time Distributions of Large Ill-Conditioned Energy Landscapes
… and improving algorithms to compute first passage time (FPT) distributions. First, we introduce new insights into FPT distributions, including showing how the distribution depends on initial conditions, and how features can be assigned to specific kinetic traps. When the state space …
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Stochastic dynamics of cell adhesion in hydrodynamic flow
… on modern nanotechnological developments. In the first part the influence of flow rate, as well as of the number and geometry of receptors and ligands, on the probability for initial binding is studied. This is done by determining the mean time that elapses until the first encounter between a …