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Items: 1 to 20 of 154

1.

Correction factors for boundary diffusion in reaction-diffusion master equations.

Leier A, Marquez-Lago TT.

J Chem Phys. 2011 Oct 7;135(13):134109. doi: 10.1063/1.3634003.

PMID:
21992284
2.

A convergent reaction-diffusion master equation.

Isaacson SA.

J Chem Phys. 2013 Aug 7;139(5):054101. doi: 10.1063/1.4816377.

PMID:
23927237
3.

The Spatial Chemical Langevin Equation and Reaction Diffusion Master Equations: moments and qualitative solutions.

Ghosh A, Leier A, Marquez-Lago TT.

Theor Biol Med Model. 2015 Feb 27;12:5. doi: 10.1186/s12976-015-0001-6.

4.

Reaction-diffusion master equation in the microscopic limit.

Hellander S, Hellander A, Petzold L.

Phys Rev E Stat Nonlin Soft Matter Phys. 2012 Apr;85(4 Pt 1):042901.

PMID:
22680526
5.

Reaction rates for mesoscopic reaction-diffusion kinetics.

Hellander S, Hellander A, Petzold L.

Phys Rev E Stat Nonlin Soft Matter Phys. 2015 Feb;91(2):023312.

6.

Reaction-diffusion master equation, diffusion-limited reactions, and singular potentials.

Isaacson SA, Isaacson D.

Phys Rev E Stat Nonlin Soft Matter Phys. 2009 Dec;80(6 Pt 2):066106.

7.

Reactive boundary conditions for stochastic simulations of reaction-diffusion processes.

Erban R, Chapman SJ.

Phys Biol. 2007 Feb 14;4(1):16-28.

PMID:
17406082
9.

Breakdown of the reaction-diffusion master equation with nonelementary rates.

Smith S, Grima R.

Phys Rev E. 2016 May;93(5):052135. doi: 10.1103/PhysRevE.93.052135.

PMID:
27300857
10.

Stochastic chemical kinetics and the total quasi-steady-state assumption: application to the stochastic simulation algorithm and chemical master equation.

Macnamara S, Bersani AM, Burrage K, Sidje RB.

J Chem Phys. 2008 Sep 7;129(9):095105. doi: 10.1063/1.2971036.

PMID:
19044893
11.

Exact on-lattice stochastic reaction-diffusion simulations using partial-propensity methods.

Ramaswamy R, Sbalzarini IF.

J Chem Phys. 2011 Dec 28;135(24):244103. doi: 10.1063/1.3666988.

PMID:
22225140
13.

Variable-free exploration of stochastic models: a gene regulatory network example.

Erban R, Frewen TA, Wang X, Elston TC, Coifman R, Nadler B, Kevrekidis IG.

J Chem Phys. 2007 Apr 21;126(15):155103.

PMID:
17461667
14.

Stochastic simulation of catalytic surface reactions in the fast diffusion limit.

Mastny EA, Haseltine EL, Rawlings JB.

J Chem Phys. 2006 Nov 21;125(19):194715.

PMID:
17129158
15.

Stochastic modelling of reaction-diffusion processes: algorithms for bimolecular reactions.

Erban R, Chapman SJ.

Phys Biol. 2009 Aug 21;6(4):046001. doi: 10.1088/1478-3975/6/4/046001.

PMID:
19700812
16.

Reducing a chemical master equation by invariant manifold methods.

Roussel MR, Zhu R.

J Chem Phys. 2004 Nov 8;121(18):8716-30.

PMID:
15527335
17.

On the origins of approximations for stochastic chemical kinetics.

Haseltine EL, Rawlings JB.

J Chem Phys. 2005 Oct 22;123(16):164115.

PMID:
16268689
18.

Accurate hybrid stochastic simulation of a system of coupled chemical or biochemical reactions.

Salis H, Kaznessis Y.

J Chem Phys. 2005 Feb 1;122(5):54103.

PMID:
15740306
19.

MesoRD 1.0: Stochastic reaction-diffusion simulations in the microscopic limit.

Fange D, Mahmutovic A, Elf J.

Bioinformatics. 2012 Dec 1;28(23):3155-7. doi: 10.1093/bioinformatics/bts584.

PMID:
23044538
20.

Molecular finite-size effects in stochastic models of equilibrium chemical systems.

Cianci C, Smith S, Grima R.

J Chem Phys. 2016 Feb 28;144(8):084101. doi: 10.1063/1.4941583.

PMID:
26931675

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