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Exact and approximate solutions for spatial stochastic models of chemical systems
Published on 2016-03-071384 Views
Stochastic effects in chemical reaction systems have been mostly studied via the chemical master equation, a non-spatial discrete stochastic formulation of chemical kinetics which assumes well-mixin
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Presentation
Exact and approximate solutions for spatial stochastic models of chemical systems00:00
Contents01:18
What is intrinsic noise?04:09
The standard stochastic description06:24
What is macromolecular crowding?10:29
Noise + space in dilute conditions10:43
Spatial stochastic description10:52
Illustration12:11
Problem: the high dimensionality of the RDME12:56
Approximation of the RDME of a multi-species system14:26
Approximation of the 2D RDME of a multi-species system17:37
Application20:47
Protein number, probability24:38
Noise + space in crowded conditions24:40
Spatial crowded stochastic description: cRDME24:51
Illustration of RDME vs cRDME modeling25:40
Visually26:43
Exact solution of the cRDME in equilibrium conditions - 126:54
Exact solution of the cRDME in equilibrium conditions - 227:36
Exact solution of the cRDME in equilibrium conditions - 429:49
Exact solution of the cRDME in equilibrium conditions - 330:00
Chemical systems with no chemical conservation laws30:12
Crowding leads to30:26
Chemical systems with a special type of chemical conservation laws31:51
Marginal distribution32:53
Chemical systems with other types of chemical conservation laws33:25
Acknowledgments33:30