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Exact and approximate solutions for spatial stochastic models of chemical systems
Published on Mar 07, 20161338 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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Chapter list
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