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(1)
Stochastic Process
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(110)
Handbook of Stochastic Methods
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Stochastic approach to chemical kinetics
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Stochastic Processes in Physics and Chemistry
Stochastic Processes in Physics and Chemistry,N. G. Van Kampen
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Stochastic Processes in Physics and Chemistry
(
Citations: 3679
)
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N. G. Van Kampen
Published in 1981.
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Citation Context
(1207)
...are cornerstone algorithms for stochastic simulation of chemical kinetics with very important applications in modeling a variety of biological phenomena. The GSSA is applicable where the small number of reactant molecules in the system does not allow deterministic modeling using coupled ordinary differential equations. The GSSA is essentially a random walk over the set of reaction channels and exactly represents the distribution of the chemical master equation
...
Ivan Komarov
,
et al.
Accelerating the Gillespie τ-Leaping Method Using Graphics Processing ...
...The most comprehensive account of the statistical properties of random events is by means of the intensity correlations, defined as
1
for
k
= 1, 2, … ...
Henk F. Arnoldus
,
et al.
Waiting times, probabilities and the Q factor of fluorescent photons
...In stochastic approximation algorithms, for which the learning rate is annealed, an FPE (with linear drift and constant diffusion—what van Kampen,
2007
, refers to as the linear noise regime), is useful for analysis of asymptotic convergence...
Todd K. Leen
,
et al.
Stochastic Perturbation Methods for Spike-Timing-Dependent Plasticity
...Using standard methods (van Kampen,
1992
), the transition probabilities may be calculated explicitly...
Terry Elliott
,
et al.
The Rise and Fall of Memory in a Model of Synaptic Integration
...Other examples are given by the class of Brownian diffusion processes or Lévy fields that are central objects in financial mathematics (Cont and Tankov 2003; Lamberton and Lapeyre 1996), and Markov processes that modelize the kinematics of chemical reactions (
Van Kampen 2007
) and evolutionary dynamics (Kimmel and Axelrod 2002)...
Benoît Cadre
,
et al.
On Hölder fields clustering
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Citations
(3679)
Accelerating the Gillespie τ-Leaping Method Using Graphics Processing Units
Ivan Komarov
,
Roshan M. D’Souza
,
Jose-Juan Tapia
Journal:
PLOS One
, vol. 7, no. 6, 2012
Waiting times, probabilities and the Q factor of fluorescent photons
Henk F. Arnoldus
,
Robertsen A. Riehle
Journal:
Journal of Modern Optics - J MOD OPTIC
, vol. ahead-of-p, no. ahead-of-p, pp. 1-14, 2012
Stochastic Perturbation Methods for Spike-Timing-Dependent Plasticity
Todd K. Leen
,
Robert Friel
Journal:
Neural Computation - NECO
, vol. 24, no. 5, pp. 1109-1146, 2012
The Rise and Fall of Memory in a Model of Synaptic Integration
Terry Elliott
,
Konstantinos Lagogiannis
Journal:
Neural Computation - NECO
, vol. 24, no. 10, pp. 2604-2654, 2012
On Hölder fields clustering
Benoît Cadre
,
Quentin Paris
Journal:
Test
, pp. 1-16, 2012