-
1
-
-
58549110252
-
Stochastic modelling for quantitative description of heterogeneous biological systems
-
D. J. Wilkinson, "Stochastic modelling for quantitative description of heterogeneous biological systems," Nat. Rev. Genet. 10 (2), 122-133 (2009). 10.1038/nrg2509
-
(2009)
Nat. Rev. Genet.
, vol.10
, Issue.2
, pp. 122-133
-
-
Wilkinson, D.J.1
-
2
-
-
33645429016
-
Exact stochastic simulation of coupled chemical reactions
-
D. T. Gillespie, "Exact stochastic simulation of coupled chemical reactions," J. Phys. Chem. 81 (25), 2340-2361 (1977). 10.1021/j100540a008
-
(1977)
J. Phys. Chem.
, vol.81
, Issue.25
, pp. 2340-2361
-
-
Gillespie, D.T.1
-
3
-
-
1342309249
-
Hybrid simulation of cellular behavior
-
T. R. Kiehl, R. M. Mattheyses, and M. K. Simmons, "Hybrid simulation of cellular behavior," Bioinformatics 20 (3), 316-322 (2004). 10.1093/bioinformatics/btg409
-
(2004)
Bioinformatics
, vol.20
, Issue.3
, pp. 316-322
-
-
Kiehl, T.R.1
Mattheyses, R.M.2
Simmons, M.K.3
-
4
-
-
1542345686
-
Bridging the gap between stochastic and deterministic regimes in the kinetic simulations of the biochemical reaction networks
-
J. Puchalka and A. M. Kierzek, "Bridging the gap between stochastic and deterministic regimes in the kinetic simulations of the biochemical reaction networks," Biophys. J. 86 (3), 1357-1372 (2004). 10.1016/S0006-3495(04)74207-1
-
(2004)
Biophys. J.
, vol.86
, Issue.3
, pp. 1357-1372
-
-
Puchalka, J.1
Kierzek, A.M.2
-
5
-
-
84876357659
-
Decomposing noise in biochemical signaling systems highlights the role of protein degradation
-
M. Komorowski, J. Mikisz, and M. P. H. Stumpf, "Decomposing noise in biochemical signaling systems highlights the role of protein degradation," Biophys. J. 104 (8), 1783-1793 (2013). 10.1016/j.bpj.2013.02.027
-
(2013)
Biophys. J.
, vol.104
, Issue.8
, pp. 1783-1793
-
-
Komorowski, M.1
Mikisz, J.2
Stumpf, M.P.H.3
-
6
-
-
71749100925
-
Bayesian inference of biochemical kinetic parameters using the linear noise approximation
-
M. Komorowski, B. Finkenstadt, C. Harper, and D. Rand, "Bayesian inference of biochemical kinetic parameters using the linear noise approximation," BMC Bioinf. 10 (1), 343 (2009). 10.1186/1471-2105-10-343
-
(2009)
BMC Bioinf.
, vol.10
, Issue.1
, pp. 343
-
-
Komorowski, M.1
Finkenstadt, B.2
Harper, C.3
Rand, D.4
-
7
-
-
84867122511
-
Linear noise approximation is valid over limited times for any chemical system that is sufficiently large
-
E. W. J. Wallace, D. T. Gillespie, K. R. Sanft, and L. R. Petzold, "Linear noise approximation is valid over limited times for any chemical system that is sufficiently large," IET Syst. Biol. 6 (4), 102-115 (2012). 10.1049/iet-syb.2011.0038
-
(2012)
IET Syst. Biol.
, vol.6
, Issue.4
, pp. 102-115
-
-
Wallace, E.W.J.1
Gillespie, D.T.2
Sanft, K.R.3
Petzold, L.R.4
-
8
-
-
33846250352
-
Mass fluctuation kinetics: Capturing stochastic effects in systems of chemical reactions through coupled mean-variance computations
-
C. A. Gómez-Uribe and G. C. Verghese, "Mass fluctuation kinetics: Capturing stochastic effects in systems of chemical reactions through coupled mean-variance computations," J. Chem. Phys. 126 (2), 024109 (2007). 10.1063/1.2408422
-
(2007)
J. Chem. Phys.
, vol.126
, Issue.2
, pp. 024109
-
-
Gómez-Uribe, C.A.1
Verghese, G.C.2
-
9
-
-
69249209842
-
Investigating the two-moment characterisation of subcellular biochemical networks
-
M. Ullah and O. Wolkenhauer, "Investigating the two-moment characterisation of subcellular biochemical networks," J. Theor. Biol. 260 (3), 340-352 (2009). 10.1016/j.jtbi.2009.05.022
-
(2009)
J. Theor. Biol.
, vol.260
, Issue.3
, pp. 340-352
-
-
Ullah, M.1
Wolkenhauer, O.2
-
10
-
-
84877766748
-
A general moment expansion method for stochastic kinetic models
-
A. Ale, P. Kirk, and M. P. H. Stumpf, "A general moment expansion method for stochastic kinetic models," J. Chem. Phys. 138 (17), 174101 (2013). 10.1063/1.4802475
-
(2013)
J. Chem. Phys.
, vol.138
, Issue.17
, pp. 174101
-
-
Ale, A.1
Kirk, P.2
Stumpf, M.P.H.3
-
11
-
-
84940990436
-
Population growth of the sexes
-
Biomathematics (Springer, Berlin, Heidelberg)
-
L. A. Goodman, "Population growth of the sexes," in Mathematical Demography, Biomathematics (Springer, Berlin, Heidelberg, 1977), Vol. 6, pp. 469-480.
-
(1977)
Mathematical Demography
, vol.6
, pp. 469-480
-
-
Goodman, L.A.1
-
12
-
-
0001637131
-
On the use of the normal approximation in the treatment of stochastic processes
-
P. Whittle, "On the use of the normal approximation in the treatment of stochastic processes," J. R. Stat. Soc., Ser. B 19 (2), 268-281 (1957).
-
(1957)
J. R. Stat. Soc., Ser. B
, vol.19
, Issue.2
, pp. 268-281
-
-
Whittle, P.1
-
13
-
-
84859158805
-
Achieving moment closure through cumulant neglect
-
T. I. Matis and I. G. Guardiola, "Achieving moment closure through cumulant neglect," Math. J. 12 (1), 2:1-2:18 (2010). 10.3888/tmj.12-2
-
(2010)
Math. J.
, vol.12
, Issue.1
, pp. 2:1-2:18
-
-
Matis, T.I.1
Guardiola, I.G.2
-
14
-
-
58849107628
-
Moment-closure approximations for mass-action models
-
C. S. Gillespie, "Moment-closure approximations for mass-action models," IET Syst. Biol. 3 (1), 52-58 (2009). 10.1049/iet-syb:20070031
-
(2009)
IET Syst. Biol.
, vol.3
, Issue.1
, pp. 52-58
-
-
Gillespie, C.S.1
-
15
-
-
79954928350
-
Moment closure approximations for stochastic kinetic models with rational rate laws
-
P. Milner, C. S. Gillespie, and D. J. Wilkinson, "Moment closure approximations for stochastic kinetic models with rational rate laws," Math. Biosci. 231 (2), 99-104 (2011). 10.1016/j.mbs.2011.02.006
-
(2011)
Math. Biosci.
, vol.231
, Issue.2
, pp. 99-104
-
-
Milner, P.1
Gillespie, C.S.2
Wilkinson, D.J.3
-
16
-
-
19044383593
-
Novel moment closure approximations in stochastic epidemics
-
I. Krishnarajah, A. Cook, G. Marion, and G. Gibson, "Novel moment closure approximations in stochastic epidemics," Bull. Math. Biol. 67 (4), 855-873 (2005). 10.1016/j.bulm.2004.11.002
-
(2005)
Bull. Math. Biol.
, vol.67
, Issue.4
, pp. 855-873
-
-
Krishnarajah, I.1
Cook, A.2
Marion, G.3
Gibson, G.4
-
17
-
-
34547125135
-
Novel bivariate moment-closure approximations
-
I. Krishnarajah, G. Marion, and G. Gibson, "Novel bivariate moment-closure approximations," Math. Biosci. 208 (2), 621-643 (2007). 10.1016/j.mbs.2006.12.002
-
(2007)
Math. Biosci.
, vol.208
, Issue.2
, pp. 621-643
-
-
Krishnarajah, I.1
Marion, G.2
Gibson, G.3
-
18
-
-
64549159754
-
A moment closure method for stochastic reaction networks
-
C. H. Lee, K.-H. Kim, and P. Kim, "A moment closure method for stochastic reaction networks," J. Chem. Phys. 130 (13), 134107 (2009). 10.1063/1.3103264
-
(2009)
J. Chem. Phys.
, vol.130
, Issue.13
, pp. 134107
-
-
Lee, C.H.1
Kim, K.-H.2
Kim, P.3
-
19
-
-
0033794910
-
Metapopulation moments: Coupling, stochasticity and persistence
-
M. J. Keeling, "Metapopulation moments: Coupling, stochasticity and persistence," J. Anim. Ecol. 69 (5), 725-736 (2000). 10.1046/j.1365-2656.2000.00430.x
-
(2000)
J. Anim. Ecol.
, vol.69
, Issue.5
, pp. 725-736
-
-
Keeling, M.J.1
-
21
-
-
34547683508
-
A derivative matching approach to moment closure for the stochastic logistic model
-
A. Singh and J. P. Hespanha, "A derivative matching approach to moment closure for the stochastic logistic model," Bull. Math. Biol. 69 (6), 1909-1925 (2007). 10.1007/s11538-007-9198-9
-
(2007)
Bull. Math. Biol.
, vol.69
, Issue.6
, pp. 1909-1925
-
-
Singh, A.1
Hespanha, J.P.2
-
22
-
-
79951586485
-
Approximate moment dynamics for chemically reacting systems
-
A. Singh and J. P. Hespanha, "Approximate moment dynamics for chemically reacting systems," IEEE Trans. Autom. Control 56 (2), 414-418 (2011). 10.1109/TAC.2010.2088631
-
(2011)
IEEE Trans. Autom. Control
, vol.56
, Issue.2
, pp. 414-418
-
-
Singh, A.1
Hespanha, J.P.2
-
23
-
-
78649842369
-
A closure approximation technique for epidemic models
-
K. Hausken and J. F. Moxnes, "A closure approximation technique for epidemic models," Math. Comput. Modell. Dyn. Syst. 16, 555-574 (2010). 10.1080/13873954.2010.496149
-
(2010)
Math. Comput. Modell. Dyn. Syst.
, vol.16
, pp. 555-574
-
-
Hausken, K.1
Moxnes, J.F.2
-
24
-
-
84883337952
-
A closure scheme for chemical master equations
-
P. Smadbeck and Y. N. Kaznessis, "A closure scheme for chemical master equations," Proc. Natl. Acad. Sci. U. S. A. 110 (35), 14261-14265 (2013). 10.1073/pnas.1306481110
-
(2013)
Proc. Natl. Acad. Sci. U. S. A.
, vol.110
, Issue.35
, pp. 14261-14265
-
-
Smadbeck, P.1
Kaznessis, Y.N.2
-
25
-
-
84860114415
-
A study of the accuracy of moment-closure approximations for stochastic chemical kinetics
-
R. Grima, "A study of the accuracy of moment-closure approximations for stochastic chemical kinetics," J. Chem. Phys. 136 (15), 154105 (2012). 10.1063/1.3702848
-
(2012)
J. Chem. Phys.
, vol.136
, Issue.15
, pp. 154105
-
-
Grima, R.1
-
27
-
-
84872601837
-
Moment closure based parameter inference of stochastic kinetic models
-
P. Milner, C. S. Gillespie, and D. J. Wilkinson, "Moment closure based parameter inference of stochastic kinetic models," Stat. Comput. 23 (2), 287-295 (2013). 10.1007/s11222-011-9310-8
-
(2013)
Stat. Comput.
, vol.23
, Issue.2
, pp. 287-295
-
-
Milner, P.1
Gillespie, C.S.2
Wilkinson, D.J.3
-
28
-
-
58149142997
-
Approximate Bayesian computation scheme for parameter inference and model selection in dynamical systems
-
T. Toni, D. Welch, N. Strelkowa, A. Ipsen, and M. P. H. Stumpf, "Approximate Bayesian computation scheme for parameter inference and model selection in dynamical systems," J. R. Soc., Interface 6 (31), 187-202 (2009). 10.1098/rsif.2008.0172
-
(2009)
J. R. Soc., Interface
, vol.6
, Issue.31
, pp. 187-202
-
-
Toni, T.1
Welch, D.2
Strelkowa, N.3
Ipsen, A.4
Stumpf, M.P.H.5
-
29
-
-
84902474441
-
Efficient parametric inference for stochastic biological systems with measured variability
-
I. G. Johnston, "Efficient parametric inference for stochastic biological systems with measured variability," Stat. Appl. Genet. Mol. Biol. 13 (3), 379-390 (2014). 10.1515/sagmb-2013-0061
-
(2014)
Stat. Appl. Genet. Mol. Biol.
, vol.13
, Issue.3
, pp. 379-390
-
-
Johnston, I.G.1
-
30
-
-
84926672524
-
Likelihood free inference for Markov processes: A comparison
-
J. Owen, D. J. Wilkinson, and C. S. Gillespie, "Likelihood free inference for Markov processes: A comparison," Stat. Appl. Genet. Mol. Biol. 14 (2), 189-209 (2015). 10.1515/sagmb-2014-0072
-
(2015)
Stat. Appl. Genet. Mol. Biol.
, vol.14
, Issue.2
, pp. 189-209
-
-
Owen, J.1
Wilkinson, D.J.2
Gillespie, C.S.3
-
31
-
-
84881027074
-
Model selection in systems and synthetic biology
-
P. Kirk, T. W. Thorne, and M. P. H. Stumpf, "Model selection in systems and synthetic biology," Curr. Opin. Biotechnol. 24 (4), 767-774 (2013). 10.1016/j.copbio.2013.03.012
-
(2013)
Curr. Opin. Biotechnol.
, vol.24
, Issue.4
, pp. 767-774
-
-
Kirk, P.1
Thorne, T.W.2
Stumpf, M.P.H.3
-
32
-
-
84898667327
-
Semi-automatic selection of summary statistics for ABC model choice
-
P. Fearnhead, D. Prangle, M. P. Cox, P. J. Biggs, and N. P. French, "Semi-automatic selection of summary statistics for ABC model choice," Stat. Appl. Genet. Mol. Biol. 13 (1), 67-82 (2014). 10.1515/sagmb-2013-0012
-
(2014)
Stat. Appl. Genet. Mol. Biol.
, vol.13
, Issue.1
, pp. 67-82
-
-
Fearnhead, P.1
Prangle, D.2
Cox, M.P.3
Biggs, P.J.4
French, N.P.5
-
33
-
-
7244247445
-
Maximum-entropy in the problem of moments
-
L. R. Mead and N. Papanicolaou, "Maximum-entropy in the problem of moments," J. Math. Phys. 25, 2404-2417 (1984). 10.1063/1.526446
-
(1984)
J. Math. Phys.
, vol.25
, pp. 2404-2417
-
-
Mead, L.R.1
Papanicolaou, N.2
-
34
-
-
79957743805
-
Sensitivity, robustness, and identifiability in stochastic chemical kinetics models
-
M. Komorowski, M. J. Costa, D. A. Rand, and M. P. H. Stumpf, "Sensitivity, robustness, and identifiability in stochastic chemical kinetics models," Proc. Natl. Acad. Sci. U. S. A. 108 (21), 8645-8650 (2011). 10.1073/pnas.1015814108
-
(2011)
Proc. Natl. Acad. Sci. U. S. A.
, vol.108
, Issue.21
, pp. 8645-8650
-
-
Komorowski, M.1
Costa, M.J.2
Rand, D.A.3
Stumpf, M.P.H.4
-
35
-
-
84873505176
-
Maximizing the information content of experiments in systems biology
-
J. Liepe, S. Filippi, M. Komorowski, and M. P. H. Stumpf, "Maximizing the information content of experiments in systems biology," PLoS Comput. Biol. 9 (1), e1002888 (2013). 10.1371/journal.pcbi.1002888
-
(2013)
PLoS Comput. Biol.
, vol.9
, Issue.1
-
-
Liepe, J.1
Filippi, S.2
Komorowski, M.3
Stumpf, M.P.H.4
-
36
-
-
84903388376
-
Model selection in systems biology depends on experimental design
-
D. Silk, P. Kirk, C. P. Barnes, T. Toni, and M. P. H. Stumpf, "Model selection in systems biology depends on experimental design," PLoS Comput. Biol. 10 (6), e1003650 (2014). 10.1371/journal.pcbi.1003650
-
(2014)
PLoS Comput. Biol.
, vol.10
, Issue.6
-
-
Silk, D.1
Kirk, P.2
Barnes, C.P.3
Toni, T.4
Stumpf, M.P.H.5
-
37
-
-
80055040254
-
Designing attractive models via automated identification of chaotic and oscillatory dynamical regimes
-
D. Silk, P. D. W. Kirk, C. P. Barnes, T. Toni, A. Rose, S. Moon, M. J. Dallman, and M. P. H. Stumpf, "Designing attractive models via automated identification of chaotic and oscillatory dynamical regimes," Nat. Commun. 2, 489 (2011). 10.1038/ncomms1496
-
(2011)
Nat. Commun.
, vol.2
, pp. 489
-
-
Silk, D.1
Kirk, P.D.W.2
Barnes, C.P.3
Toni, T.4
Rose, A.5
Moon, S.6
Dallman, M.J.7
Stumpf, M.P.H.8
-
38
-
-
80053056624
-
Bayesian design of synthetic biological systems
-
C. P. Barnes, D. Silk, X. Sheng, and M. P. H. Stumpf, "Bayesian design of synthetic biological systems," Proc. Natl. Acad. Sci. U. S. A. 108 (37), 15190-15195 (2011). 10.1073/pnas.1017972108
-
(2011)
Proc. Natl. Acad. Sci. U. S. A.
, vol.108
, Issue.37
, pp. 15190-15195
-
-
Barnes, C.P.1
Silk, D.2
Sheng, X.3
Stumpf, M.P.H.4
-
39
-
-
84917709063
-
Chemical master equation closure for computer-aided synthetic biology
-
P. Smadbeck and Y. N. Kaznessis, "Chemical master equation closure for computer-aided synthetic biology," Methods Mol. Biol. (Clifton, N.J.) 1244, 179-191 (2015). 10.1007/978-1-4939-1878-2-9
-
(2015)
Methods Mol. Biol. (Clifton, N.J.)
, vol.1244
, pp. 179-191
-
-
Smadbeck, P.1
Kaznessis, Y.N.2
-
40
-
-
77955102352
-
Quantifying e. coli proteome and transcriptome with single-molecule sensitivity in single cells
-
Y. Taniguchi, P. J. Choi, G.-W. Li, H. Chen, M. Babu, J. Hearn, A. Emili, and X. S. Xie, "Quantifying e. coli proteome and transcriptome with single-molecule sensitivity in single cells," Science 329 (5991), 533-538 (2010). 10.1126/science.1188308
-
(2010)
Science
, vol.329
, Issue.5991
, pp. 533-538
-
-
Taniguchi, Y.1
Choi, P.J.2
Li, G.-W.3
Chen, H.4
Babu, M.5
Hearn, J.6
Emili, A.7
Xie, X.S.8
-
41
-
-
33750247101
-
Linking stochastic dynamics to population distribution: An analytical framework of gene expression
-
N. Friedman, L. Cai, and X. S. Xie, "Linking stochastic dynamics to population distribution: An analytical framework of gene expression," Phys. Rev. Lett. 97 (16), 168302 (2006). 10.1103/PhysRevLett.97.168302
-
(2006)
Phys. Rev. Lett.
, vol.97
, Issue.16
, pp. 168302
-
-
Friedman, N.1
Cai, L.2
Xie, X.S.3
-
42
-
-
0000951308
-
On a formula for the product-moment coefficient of any order of a normal frequency distribution in any number of variables
-
L. Isserlis, "On a formula for the product-moment coefficient of any order of a normal frequency distribution in any number of variables," Biometrika 12 (1-2), 134-139 (1918). 10.1093/biomet/12.1-2.134
-
(1918)
Biometrika
, vol.12
, Issue.1-2
, pp. 134-139
-
-
Isserlis, L.1
-
44
-
-
0003401818
-
-
Statistics, Textbooks and Monographs (M. Dekker, New York)
-
E. L. Crow and K. Shimizu, Lognormal Distributions: Theory and Applications, Statistics, Textbooks and Monographs (M. Dekker, New York, 1988), Vol. 88.
-
(1988)
Lognormal Distributions: Theory and Applications
, vol.88
-
-
Crow, E.L.1
Shimizu, K.2
-
46
-
-
52749086166
-
On a multivariate gamma distribution
-
E. Furman, "On a multivariate gamma distribution," Stat. Probab. Lett. 78, 2353-2360 (2008). 10.1016/j.spl.2008.02.012
-
(2008)
Stat. Probab. Lett.
, vol.78
, pp. 2353-2360
-
-
Furman, E.1
-
47
-
-
33745451921
-
Oscillations and variability in the p53 system
-
2006.0033
-
N. Geva-Zatorsky, N. Rosenfeld, S. Itzkovitz, R. Milo, A. Sigal, E. Dekel, T. Yarnitzky, Y. Liron, P. Polak, G. Lahav, and U. Alon, "Oscillations and variability in the p53 system," Mol. Syst. Biol. 2, 2006.0033 (2006). 10.1038/msb4100068
-
(2006)
Mol. Syst. Biol.
, vol.2
-
-
Geva-Zatorsky, N.1
Rosenfeld, N.2
Itzkovitz, S.3
Milo, R.4
Sigal, A.5
Dekel, E.6
Yarnitzky, T.7
Liron, Y.8
Polak, P.9
Lahav, G.10
Alon, U.11
-
48
-
-
84861152188
-
Mathematical modeling reveals the functional implications of the different nuclear shuttling rates of erk1 and erk2
-
H. A. Harrington, M. Komorowski, M. Beguerisse-Díaz, G. M. Ratto, and M. P. H. Stumpf, "Mathematical modeling reveals the functional implications of the different nuclear shuttling rates of erk1 and erk2," Phys. Biol. 9 (3), 036001 (2012). 10.1088/1478-3975/9/3/036001
-
(2012)
Phys. Biol.
, vol.9
, Issue.3
, pp. 036001
-
-
Harrington, H.A.1
Komorowski, M.2
Beguerisse-Díaz, M.3
Ratto, G.M.4
Stumpf, M.P.H.5
-
49
-
-
84864988006
-
Moment fitting for parameter inference in repeatedly and partially observed stochastic biological models
-
P. Kügler, "Moment fitting for parameter inference in repeatedly and partially observed stochastic biological models," PLoS One 7 (8), e43001 (2012). 10.1371/journal.pone.0043001
-
(2012)
PLoS One
, vol.7
, Issue.8
-
-
Kügler, P.1
-
50
-
-
73149105740
-
Listening to the noise: Random fluctuations reveal gene network parameters
-
B. Munsky, B. Trinh, and M. Khammash, "Listening to the noise: Random fluctuations reveal gene network parameters," Mol. Syst. Biol. 5 (1), 318 (2009). 10.1038/msb.2009.75
-
(2009)
Mol. Syst. Biol.
, vol.5
, Issue.1
, pp. 318
-
-
Munsky, B.1
Trinh, B.2
Khammash, M.3
-
51
-
-
0014465002
-
The decoupling of multivariable systems by state feedback
-
E. G. Gilbert, "The decoupling of multivariable systems by state feedback," SIAM J. Control 7 (1), 50-63 (1969). 10.1137/0307004
-
(1969)
SIAM J. Control
, vol.7
, Issue.1
, pp. 50-63
-
-
Gilbert, E.G.1
-
52
-
-
40149112059
-
Stimulus design for model selection and validation in cell signaling
-
J. F. Apgar, J. E. Toettcher, D. Endy, F. M. White, and B. Tidor, "Stimulus design for model selection and validation in cell signaling," PLoS Comput. Biol. 4 (2), e30 (2008). 10.1371/journal.pcbi.0040030
-
(2008)
PLoS Comput. Biol.
, vol.4
, Issue.2
, pp. e30
-
-
Apgar, J.F.1
Toettcher, J.E.2
Endy, D.3
White, F.M.4
Tidor, B.5
-
53
-
-
34247589861
-
Techniques for the reconstruction of a distribution from a finite number of its moments
-
V. John, I. Angelov, A. A. Oencuel, and D. Thevenin, "Techniques for the reconstruction of a distribution from a finite number of its moments," Chem. Eng. Sci. 62, 2890-2904 (2007). 10.1016/j.ces.2007.02.041
-
(2007)
Chem. Eng. Sci.
, vol.62
, pp. 2890-2904
-
-
John, V.1
Angelov, I.2
Oencuel, A.A.3
Thevenin, D.4
-
54
-
-
84906320354
-
Method of conditional moments (mcm) for the chemical master equation: A unified framework for the method of moments and hybrid stochastic-deterministic models
-
J. Hasenauer, V. Wolf, A. Kazeroonian, and F. J. Theis, "Method of conditional moments (mcm) for the chemical master equation: A unified framework for the method of moments and hybrid stochastic-deterministic models," J. Math. Biol. 69 (3), 687-735 (2013). 10.1007/s00285-013-0711-5
-
(2013)
J. Math. Biol.
, vol.69
, Issue.3
, pp. 687-735
-
-
Hasenauer, J.1
Wolf, V.2
Kazeroonian, A.3
Theis, F.J.4
-
56
-
-
84899783682
-
Quantifying Waddington landscapes and paths of non-adiabatic cell fate decisions for differentiation, reprogramming and transdifferentiation
-
C. Li and J. Wang, "Quantifying Waddington landscapes and paths of non-adiabatic cell fate decisions for differentiation, reprogramming and transdifferentiation," J. R. Soc., Interface 10 (89), 20130787 (2013). 10.1098/rsif.2013.0787
-
(2013)
J. R. Soc., Interface
, vol.10
, Issue.89
, pp. 20130787
-
-
Li, C.1
Wang, J.2
-
57
-
-
84929223710
-
On a theory of stability for nonlinear stochastic chemical reaction networks
-
P. Smadbeck and Y. N. Kaznessis, "On a theory of stability for nonlinear stochastic chemical reaction networks," J. Chem. Phys. 142 (18), 184101 (2015). 10.1063/1.4919834
-
(2015)
J. Chem. Phys.
, vol.142
, Issue.18
, pp. 184101
-
-
Smadbeck, P.1
Kaznessis, Y.N.2
-
58
-
-
84906861074
-
Validity conditions for moment closure approximations in stochastic chemical kinetics
-
D. Schnoerr, G. Sanguinetti, and R. Grima, "Validity conditions for moment closure approximations in stochastic chemical kinetics," J. Chem. Phys. 141 (8), 084103 (2014). 10.1063/1.4892838
-
(2014)
J. Chem. Phys.
, vol.141
, Issue.8
, pp. 084103
-
-
Schnoerr, D.1
Sanguinetti, G.2
Grima, R.3
-
59
-
-
54249089721
-
Statistical interpretation of the interplay between noise and chaos in the stochastic logistic map
-
K. Erguler and M. P. H. Stumpf, "Statistical interpretation of the interplay between noise and chaos in the stochastic logistic map," Math. Biosci. 216, 90-99 (2008). 10.1016/j.mbs.2008.08.012
-
(2008)
Math. Biosci.
, vol.216
, pp. 90-99
-
-
Erguler, K.1
Stumpf, M.P.H.2
-
60
-
-
27744503232
-
Bayesian inference for stochastic kinetic models using a diffusion approximation
-
A. Golightly and D. J. Wilkinson, "Bayesian inference for stochastic kinetic models using a diffusion approximation," Biometrics 61 (3), 781-788 (2005). 10.1111/j.1541-0420.2005.00345.x
-
(2005)
Biometrics
, vol.61
, Issue.3
, pp. 781-788
-
-
Golightly, A.1
Wilkinson, D.J.2
-
61
-
-
84860901236
-
Bayesian parameter inference for stochastic biochemical network models using particle Markov chain Monte Carlo
-
A. Golightly and D. J. Wilkinson, "Bayesian parameter inference for stochastic biochemical network models using particle Markov chain Monte Carlo," Interface Focus 1 (6), 807-820 (2011). 10.1098/rsfs.2011.0047
-
(2011)
Interface Focus
, vol.1
, Issue.6
, pp. 807-820
-
-
Golightly, A.1
Wilkinson, D.J.2
-
62
-
-
84941010379
-
-
A Python package that implements the method described here is available from our web page http://www.theosysbio.bio.ic.ac.uk.
-
-
-
|