Theory and Applications of Monte Carlo Simulations 2013
DOI: 10.5772/53709
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Kinetic Monte Carlo Simulation in Biophysics and Systems Biology

Abstract: 2.1. Master equation description for one-dimensional random walk At each step, a random walker executing a one-dimensional random walk (on a lattice) jumps to one of the two neighboring lattice sites. One-dimensional random walk is described by a master equation (discrete time and discrete space formulation) of the form: P n,N+1 = Theory and Applications of Monte Carlo Simulations 228

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Cited by 5 publications
(21 citation statements)
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“…Monte Carlo approach has been shown to capture some of the complexities of signaling reactions such as the effect of spatial heterogeneity (Raychaudhuri 2013). Each run of our Monte Carlo simulation corresponds to apoptotic activation in a single cell, thus, Monte Carlo can capture cell-to-cell stochastic variability including inherent variability.…”
Section: Monte Carlo Simulation Of Cell Death Signalingmentioning
confidence: 99%
See 3 more Smart Citations
“…Monte Carlo approach has been shown to capture some of the complexities of signaling reactions such as the effect of spatial heterogeneity (Raychaudhuri 2013). Each run of our Monte Carlo simulation corresponds to apoptotic activation in a single cell, thus, Monte Carlo can capture cell-to-cell stochastic variability including inherent variability.…”
Section: Monte Carlo Simulation Of Cell Death Signalingmentioning
confidence: 99%
“…(1) a probabilistic rate constant based (implicit free energy) kinetic Monte Carlo simulation for various reaction moves such as diffusion, binding/unbinding and catalytic cleavage; (2) an explicit free-energy based model that captures clustering of ligand-bound death receptors utilizing energy-function based diffusion moves. Both of the above approaches have been utilized in previous works from this lab (Raychaudhuri 2013). At each Monte Carlo (MC) step molecules are randomly sampled N number of times, where N is the total number of molecules (either free or complexed) present in the system.…”
Section: Monte Carlo Simulation Of Cell Death Signalingmentioning
confidence: 99%
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“…Both of the above approaches have been utilized in previous works from this lab [38]. In our previous studies of apoptotic death signaling, a kinetic Monte Carlo based approach was taken which allowed straightforward estimation of probabilistic rate constants from the known diffusion and kinetic rate constants.…”
Section: Methodsmentioning
confidence: 99%