Quick search Find article
Quick search
Find article
Deutsche Physikalische Gessellschaft IOP Institute of Physics

Ergodic and non-ergodic anomalous diffusion in coupled stochastic processes

Golan Bel1 and Ilya Nemenman

Show affiliations


[1]
Guet C C et al 2008 Minimally invasive determination of mrna concentration in single living bacteria Nucleic Acids Res. 36 e73
CrossRef  PubMed 
[2]
English B P et al 2006 Ever-fluctuating single enzyme molecules: Michaelis-Menten equation revisited Nat. Chem. Biol. 2 87
CrossRef  PubMed 
[3]
Golding I and Cox E C 2006 Physical nature of bacterial cytoplasm Phys. Rev. Lett. 96 098102
CrossRef  PubMed 
[4]
McAdams H H and Arkin A 1998 Simulation of prokaryotic genetic circuits Annu. Rev. Biophys. Biomol. Struct. 27 199-224
CrossRef  PubMed 
[5]
Paulsson J 2004 Summing up the noise in gene networks Nature 427 415-8
CrossRef  PubMed 
[6]
Sinitsyn N A, Hengartner N and Nemenman I 2009 Adiabatic coarse-graining and simulations of stochastic biochemical networks Proc. Natl Acad. Sci. USA 106 10546
CrossRef  PubMed 
[7]
Sasai M and Wolynes P G 2003 Stochastic gene expression as a many-body problem Proc. Natl Acad. Sci. USA 100 2374-9
CrossRef  PubMed 
[8]
Aurell E and Sneppen K 2002 Epigenetics as a first exit problem Phys. Rev. Lett. 88 048101
CrossRef  PubMed 
[9]
Gopich I V and Szabo A 2006 Theory of the statistics of kinetic transitions with application to single-molecule enzyme catalysis J. Chem. Phys. 124 154712
CrossRef  PubMed 
[10]
Sinitsyn N A and Nemenman I 2007 The berry phase and the pump flux in stochastic chemical kinetics Europhys. Lett. 77 58001
IOPscience 
[11]
Weiss G H and Havlin S 1986 Some properties of a random walk on a comb structure Physica A 134 474-82
CrossRef 
[12]
Korobkova E et al 2004 From molecular noise to behavioural variability in single bacterium Nature 428 574
CrossRef  PubMed 
[13]
Lubashevsky I, Friedrich R and Heuer A 2009 Realization of levy walks as Markovian stochastic process Phys. Rev. E 79 011110
CrossRef 
[14]
Beck C 2001 Dynamical foundations of nonextensive statistical mechanics Phys. Rev. Lett. 87 180601
CrossRef 
[15]
Ausloos M and Lambiotte R 2006 Brownian particle having a fluctuating mass Phys. Rev. E 73 011105
CrossRef 
[16]
Alberts B, Johnson A, Walter P, Lewis J, Raff M and Roberts K 2007 Molecular Biology of the Cell 5th edn (London: Garland Science)

[17]
Wolfram S 1999 The Mathematica Book 4th edn (Cambridge: Cambridge University Press)

[18]
Luczka J, Talkner P and Hanggi P 2000 Diffusion of Brownian particles goverened by fluctuating friction Physica A 278 18-31
CrossRef 
[19]
Sher H and Montroll E W 1975 Anomalous transit-time dispersion in amorphous solids Phys. Rev. B 12 2455
CrossRef 
[20]
Mandelbrot B B and Van Ness J W 1968 Fractional brownian motions, fractional noises and applications SIAM Rev. 10 422-37
CrossRef 
[21]
Min W, Luo G, Cherayil B J, Kou S C and Xie X S 2005 Observation of a power-law memory kernel for fluctuations within a single protein molecule Phys. Rev. Lett. 94 198302
CrossRef  PubMed 
[22]
Goychuk I and Hänggi P 2007 Anomalous escape governed by thermal 1/f noise Phys. Rev. Lett. 99 200601
CrossRef  PubMed 
[23]
Burov S and Barkai E 2008 Critical exponent of the fractional Langevin equation Phys. Rev. Lett. 100 070601
CrossRef  PubMed 
[24]
Muralidhar R, Ramkrishna D, Nakanishi H and Jacobs D 1990 Anomalous diffusion: a dynamic perspective Physica A 167 539-59
CrossRef 
[25]
Bouchaud J P and Georges A 1990 Anomalous diffusion in disordered media: statistical mechanisms, models and physical applications Phys. Rep. 195 127
CrossRef 
[26]
Bel G and Barkai E 2005 Ergodicity breaking in continuous time random walk Phys. Rev. Lett. 94 240602
CrossRef 
[27]
Tolic-Norrelykke I M et al 2004 Anomalous diffusion in living yeast cells Phys. Rev. Lett. 93 078102
CrossRef  PubMed 
[28]
He Y, Burov S, Metzler R and Barkai E 2008 Random time-scale invariant diffusion and transport coefficients Phys. Rev. Lett. 101 058101
CrossRef  PubMed 
[29]
Sokolov I M, Lubelski A and Klafter Y 2008 Nonergodicity mimics inhomogeneity in single particle tracking Phys. Rev. Lett. 100 250602
CrossRef  PubMed 
[30]
Deng W and Barkai E 2009 Ergodic properties of fractional Brownian-Langevin motion Phys. Rev. E 79 011112
CrossRef 
[31]
Dreisigmeyer D W, Stajic J, Nemenman I, Hlavacek W S and Wall M E 2008 Determinants of bistability in induction of the Escherichia coli lac operon IET Syst. Biol. 2 293-303
CrossRef  PubMed 
crossref member

Related review articles

What's this?
View review articles related to this research to gain an insight into the key trends in this subject area. Related review articles are selected based on PACS/MSC codes, and are no more than three years old.

  1. Universal randomness

View by subject




Export








Please login to access our web services, or create an account if you don't yet have one.

You must have cookies enabled in your web browser to be able to login.

Username
Password

Forgotten your password? Get a new one here.