System size expansion using Feynman rules and diagrams

Journal of Physics A: Mathematical and Theoretical

Volumn 47, Issue 45, 2014, Pages

  Thomas, Philipp ^a   Fleck, Christian ^b   Grima, Ramon ^a   Popović, Nikola ^a  

^a UNIVERSITY OF EDINBURGH   (United Kingdom)

^b WAGENINGEN UNIVERSITY   (Netherlands)

Author keywords

chemical reactions; master equations; noise

Indexed keywords

EID: 84937006193     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/47/45/455007     Document Type: Article

References (39)

1. McAdams H and Arkin A 1997 Proc. Natl Acad. Sci. USA 94 814-9
2. Gillespie D 2007 Annu. Rev. Phys. Chem. 58 35-55
3. Elf J and Ehrenberg M 2003 Genome Res. 13 2475-84
4. Hayot F and Jayaprakash C 2004 Phys. Biol. 1 205
5. Paulsson J 2005 Phys. Life Rev. 2 157-75
6. van Kampen N 1976 Adv. Chem. Phys. 34 245-309
7. Grima R 2010 J. Chem. Phys. 133 035101
8. Ramaswamy R, González-Segredo N, Sbalzarini I F and Grima R 2012 Nat. Commun. 3 779
9. Thomas P, Matuschek H and Grima R 2013 BMC Genomics 14 S5
10. Scott M 2012 IET Syst. Biol. 6 116-24
11. Chaturvedi S and Gardiner C 1978 J. Stat. Phys. 18 501-22
12. Thomas P, Straube A, Timmer J, Fleck C and Grima R 2013 J. Theor. Biol. 335 222-34
13. Grima R, Thomas P and Straube A 2011 J. Chem. Phys. 135 084103
14. Grima R 2011 Phys. Rev. E 84 056109
15. Srednicki M 2007 Quantum Field Theory (Cambridge: Cambridge University Press)
16. Peliti L 1985 J. Phys. (Paris) 46 1469-83
17. Droz M and McKane A 1994 J. Phys. A: Math. Gen. 27 L467
18. Kamenev A 2011 Field Theory of Non-Equilibrium Systems (Cambridge: Cambridge University Press)
19. Täuber U 2014 Critical Dynamics: A Field Theory Approach to Equilibrium and Non-Equilibrium Scaling Behavior (Cambridge: Cambridge University Press)
20. Calisto H and Tirapegui E 1993 J. Stat. Phys. 71 683-703
21. Warren P, Tənase-Nicola S and ten Wolde P 2006 J. Chem. Phys. 125 144904
22. Ushakov O, Wünsche H J, Henneberger F, Khovanov I, Schimansky-Geier L and Zaks M 2005 Phys. Rev. Lett. 95 123903
23. McKane A, Nagy J, Newman T and Stefanini M 2007 J. Stat. Phys. 128 165-91
24. van Kampen N 1992 Stochastic Processes in Physics and Chemistry (North Holland: Amsterdam)
25. Gillespie D 1992 Physica A 188 404-25
26. Zinn-Justin J 2002 Quantum Field Theory and Critical Phenomena (Oxford: Clarendon)
27. Hanggi P, Grabert H, Talkner P and Thomas H 1984 Phys. Rev. A 29 371
28. Moloney N and Dickman R 2006 Braz. J. Phys. 36 1238-49
29. Thomas P, Matuschek H and Grima R 2012 PloS One 7 e38518
30. Gardiner C 2009 Stochastic Methods: A Handbook for the Natural and Social Sciences (Berlin: Springer)
31. Keizer J 1987 Statistical Thermodynamics of Nonequilibrium Processes (Berlin: Springer)
32. Täuber U 2012 J. Phys. A: Math Theor. 45 405002
33. Thomas P, Straube A and Grima R 2011 J. Chem. Phys. 135 181103
34. Shahrezaei V and Swain P 2008 Proc. Natl Acad. Sci. 105 17256-61
35. Prigogine I and Lefever R 1968 J. Chem. Phys. 48 1695-700
36. Westermark P, Welsh D, Okamura H and Herzel H 2009 PLoS Comput. Biol. 5 e1000580
37. Toner D and Grima R 2013 J. Chem. Phys. 138 055101
38. Cianci C, di Patti F, Fanelli D and Barletti L 2012 Eur. Phys. J. Spec. Top. 212 5-22
39. Orszag M 2008 Quantum Optics: Including Noise Reduction, Trapped Ions, Quantum Trajectories, and Decoherence (Berlin: Springer)