-
1
-
-
33744775760
-
Asymptotic analysis of multiscale approximations to reaction networks
-
Ball K, Kurtz TG, Popovic L, Rempala G. Asymptotic analysis of multiscale approximations to reaction networks. The Annals of Applied Probability 2006; 16(4):1925-1961.
-
(2006)
The Annals of Applied Probability
, vol.16
, Issue.4
, pp. 1925-1961
-
-
Ball, K.1
Kurtz, T.G.2
Popovic, L.3
Rempala, G.4
-
2
-
-
82455192062
-
-
Numerical solution methods in stochastic chemical kinetics. PhD Thesis, Uppsala University, Division of Scientific Computing, Numerical Analysis
-
Engblom S. Numerical solution methods in stochastic chemical kinetics. PhD Thesis, Uppsala University, Division of Scientific Computing, Numerical Analysis, 2008.
-
(2008)
-
-
Engblom, S.1
-
3
-
-
0040862006
-
Finding transient solutions in Markovian event systems through randomization
-
Stewart WJ (ed.). Marcel Dekker: New York
-
Grassmann WK. Finding transient solutions in Markovian event systems through randomization. In Numerical Solution of Markov Chains, Stewart WJ (ed.). Marcel Dekker: New York, 1991; 357-371.
-
(1991)
Numerical Solution of Markov Chains
, pp. 357-371
-
-
Grassmann, W.K.1
-
4
-
-
49749117469
-
Ant-based approach for determining the change of measure in importance sampling
-
IEEE Press: Piscataway, New Jersey
-
Heegaard PE, Sandmann W. Ant-based approach for determining the change of measure in importance sampling. In Proceedings of the Winter Simulation Conference, WSC 2007, IEEE Press: Piscataway, New Jersey, 2007;412-420.
-
(2007)
Proceedings of the Winter Simulation Conference, WSC 2007
, pp. 412-420
-
-
Heegaard, P.E.1
Sandmann, W.2
-
5
-
-
70349966117
-
Formalisms for specifying Markovian population models
-
LNCS. Springer-Verlag: Berlin, Heidelberg
-
Henzinger TA, Jobstmann B, Wolf V. Formalisms for specifying Markovian population models. In Proceedings of the 3rd International Workshop on Reachability Problems, Vol. 5797, LNCS. Springer-Verlag: Berlin, Heidelberg, 2009.
-
(2009)
Proceedings of the 3rd International Workshop on Reachability Problems
, vol.5797
-
-
Henzinger, T.A.1
Jobstmann, B.2
Wolf, V.3
-
6
-
-
0001455869
-
The relationship between stochastic and deterministic models for chemical reactions
-
Kurtz TG. The relationship between stochastic and deterministic models for chemical reactions. Journal of Chemical Physics 1972; 57(7):2976-2978.
-
(1972)
Journal of Chemical Physics
, vol.57
, Issue.7
, pp. 2976-2978
-
-
Kurtz, T.G.1
-
7
-
-
78649892428
-
Hybrid numerical solution of the chemical master equation
-
ACM Digital Library: New York
-
Henzinger TA, Mateescu M, Mikeev L, Wolf V. Hybrid numerical solution of the chemical master equation. In Proceedings of the 8th International Conference on Computational Methods in Systems Biology, CMSB '10. ACM Digital Library: New York, 2010.
-
(2010)
Proceedings of the 8th International Conference on Computational Methods in Systems Biology, CMSB '10
-
-
Henzinger, T.A.1
Mateescu, M.2
Mikeev, L.3
Wolf, V.4
-
10
-
-
0842285841
-
Summing up the noise in gene networks
-
Paulsson J. Summing up the noise in gene networks. Nature 2004; 427(6973):415-418.
-
(2004)
Nature
, vol.427
, Issue.6973
, pp. 415-418
-
-
Paulsson, J.1
-
11
-
-
33845629747
-
Solving the chemical master equation for monomolecular reaction systems analytically
-
Jahnke T, Huisinga W. Solving the chemical master equation for monomolecular reaction systems analytically. Journal of Mathematical Biology 2007; 54(1):1-26.
-
(2007)
Journal of Mathematical Biology
, vol.54
, Issue.1
, pp. 1-26
-
-
Jahnke, T.1
Huisinga, W.2
-
14
-
-
34248187057
-
A solver for the stochastic master equation applied to gene regulatory networks
-
Hegland M, Burden C, Santoso L, MacNamara S, Booth H. A solver for the stochastic master equation applied to gene regulatory networks. Journal of Computational and Applied Mathematics 2007; 205(2):708-724.
-
(2007)
Journal of Computational and Applied Mathematics
, vol.205
, Issue.2
, pp. 708-724
-
-
Hegland, M.1
Burden, C.2
Santoso, L.3
MacNamara, S.4
Booth, H.5
-
15
-
-
55549104055
-
Inexact uniformization method for computing transient distributions of Markov chains
-
Sidje RB, Burrage K, MacNamara S. Inexact uniformization method for computing transient distributions of Markov chains. SIAM Journal on Scientific Computing 2007; 29(6):2562-2580.
-
(2007)
SIAM Journal on Scientific Computing
, vol.29
, Issue.6
, pp. 2562-2580
-
-
Sidje, R.B.1
Burrage, K.2
MacNamara, S.3
-
16
-
-
0024680811
-
Stochastic complementation, uncoupling Markov chains, and the theory of nearly reducible systems
-
DOI: 10.1137/1031050.
-
Meyer CD. Stochastic complementation, uncoupling Markov chains, and the theory of nearly reducible systems. SIAM Review 1989; 31(2): 240-272. DOI: 10.1137/1031050.
-
(1989)
SIAM Review
, vol.31
, Issue.2
, pp. 240-272
-
-
Meyer, C.D.1
-
17
-
-
0021508951
-
Bounds for the positive eigenvectors of nonnegative matrices and for their approximations by decomposition
-
DOI: 10.1145/1634.1637.
-
Courtois P-J, Semal P. Bounds for the positive eigenvectors of nonnegative matrices and for their approximations by decomposition. Journal of the ACM 1984; 31(4):804-825. DOI: 10.1145/1634.1637.
-
(1984)
Journal of the ACM
, vol.31
, Issue.4
, pp. 804-825
-
-
Courtois, P.-J.1
Semal, P.2
-
18
-
-
0003882833
-
-
2nd ed., Graduate Texts in Mathematics, Springer: New York, Berlin, Heidelberg
-
Halmos PR. A Hilbert Space Problem Book, 2nd ed., Graduate Texts in Mathematics, Springer: New York, Berlin, Heidelberg, 1982.
-
(1982)
A Hilbert Space Problem Book
-
-
Halmos, P.R.1
-
19
-
-
0016527233
-
Sufficient conditions for regularity, recurrence and ergodicity of Markov processes
-
DOI: 10.1017/S0305004100051562.
-
Tweedie RL. Sufficient conditions for regularity, recurrence and ergodicity of Markov processes. Mathematical Proceedings of the Cambridge Philosophical Society 1975; 78(01):125-136. DOI: 10.1017/S0305004100051562.
-
(1975)
Mathematical Proceedings of the Cambridge Philosophical Society
, vol.78
, Issue.1
, pp. 125-136
-
-
Tweedie, R.L.1
-
20
-
-
82455170873
-
-
Aggregate matrix-analytic techniques and their applications. PhD Thesis, The College of William and Mary, AAI3081205.
-
Riska A. Aggregate matrix-analytic techniques and their applications. PhD Thesis, The College of William and Mary, 2002. AAI3081205.
-
(2002)
-
-
Riska, A.1
-
21
-
-
0030367202
-
Some properties of the rate operators in level dependent quasi-birth-and-death processes with countable number of phases
-
Ramaswami V, Taylor PG. Some properties of the rate operators in level dependent quasi-birth-and-death processes with countable number of phases. Communications in Statistics. Stochastic Models 1996; 12(1):143-164.
-
(1996)
Communications in Statistics. Stochastic Models
, vol.12
, Issue.1
, pp. 143-164
-
-
Ramaswami, V.1
Taylor, P.G.2
-
25
-
-
0017981037
-
An implementation of Tarjan's algorithm for the block triangularization of a matrix
-
DOI: 10.1145/355780.355785.
-
Duff IS, Reid JK. An implementation of Tarjan's algorithm for the block triangularization of a matrix. ACM Transactions on Mathematical Software 1978; 4(2):137-147. DOI: 10.1145/355780.355785.
-
(1978)
ACM Transactions on Mathematical Software
, vol.4
, Issue.2
, pp. 137-147
-
-
Duff, I.S.1
Reid, J.K.2
-
26
-
-
82455192059
-
-
Analysis of large Markovian models by parts. Applications to queueing network models, Messung, Modellierung und Bewertung von Rechensystemen, 3. GI/NTG-Fachtagung
-
Courtois P-J. Analysis of large Markovian models by parts. Applications to queueing network models, Messung, Modellierung und Bewertung von Rechensystemen, 3. GI/NTG-Fachtagung, 1985; 1-10.
-
(1985)
, pp. 1-10
-
-
Courtois, P.-J.1
-
27
-
-
0031536532
-
Quasi lumpability, lower-bounding coupling matrices, and nearly completely decomposable Markov chains
-
DOI: 10.1137/S0895479895294277.
-
Dayar T, Stewart WJ. Quasi lumpability, lower-bounding coupling matrices, and nearly completely decomposable Markov chains. SIAM Journal on Matrix Analysis and Applications 1997; 18(2):482-498. DOI: 10.1137/S0895479895294277.
-
(1997)
SIAM Journal on Matrix Analysis and Applications
, vol.18
, Issue.2
, pp. 482-498
-
-
Dayar, T.1
Stewart, W.J.2
-
28
-
-
0024664027
-
Bounding availability of repairable computer systems
-
ACM: New York, NY, USA, DOI: 10.1145/75108.75376.
-
Muntz RR, de Souza e Silva E, Goyal A. Bounding availability of repairable computer systems. In Sigmetrics '89: Proceedings of the 1989 ACM Sigmetrics International Conference on Measurement and Modeling of Computer Systems. ACM: New York, NY, USA, 1989; 29-38, DOI: 10.1145/75108.75376.
-
(1989)
Sigmetrics '89: Proceedings of the 1989 ACM Sigmetrics International Conference on Measurement and Modeling of Computer Systems
, pp. 29-38
-
-
Muntz, R.R.1
de Souza e Silva, E.2
Goyal, A.3
-
29
-
-
82455192060
-
-
Geobound., Last site access on 9 March 2011.
-
Geobound., Last site access on 9 March 2011.
-
-
-
-
30
-
-
56749179605
-
HOM4PS-2.0: A software package for solving polynomial systems by the polyhedral homotopy continuation method
-
DOI: 10.1007/s00607-008-0015-6.
-
Lee TL, Li TY, Tsai CH. HOM4PS-2.0: A software package for solving polynomial systems by the polyhedral homotopy continuation method. Computing 2008; 83(2-3):109-133. DOI: 10.1007/s00607-008-0015-6.
-
(2008)
Computing
, vol.83
, Issue.2-3
, pp. 109-133
-
-
Lee, T.L.1
Li, T.Y.2
Tsai, C.H.3
-
31
-
-
0033239808
-
A supernodal approach to sparse partial pivoting
-
Demmel JW, Eisenstat SC, Gilbert JR, Li XS, Liu JWH. A supernodal approach to sparse partial pivoting. SIAM Journal on Matrix Analysis and Applications 1999; 20(3):720-755.
-
(1999)
SIAM Journal on Matrix Analysis and Applications
, vol.20
, Issue.3
, pp. 720-755
-
-
Demmel, J.W.1
Eisenstat, S.C.2
Gilbert, J.R.3
Li, X.S.4
Liu, J.W.H.5
-
32
-
-
33846972643
-
Stochastic simulations of genetic switch systems
-
Loinger A, Lipshtat A, Balaban NQ, Biham O. Stochastic simulations of genetic switch systems. Physical Review E 2007; 75(2):021904.
-
(2007)
Physical Review E
, vol.75
, Issue.2
, pp. 021904
-
-
Loinger, A.1
Lipshtat, A.2
Balaban, N.Q.3
Biham, O.4
-
33
-
-
33646397850
-
Genetic toggle switch without cooperative binding
-
DOI: 10.1103/PhysRevLett.96.188101.
-
Lipshtat A, Loinger A, Balaban NQ, Biham O. Genetic toggle switch without cooperative binding. Physical Review Letters 2006; 96(18):188101. DOI: 10.1103/PhysRevLett.96.188101.
-
(2006)
Physical Review Letters
, vol.96
, Issue.18
, pp. 188101
-
-
Lipshtat, A.1
Loinger, A.2
Balaban, N.Q.3
Biham, O.4
-
34
-
-
0034688174
-
Construction of a genetic toggle switch in Escherichia coli
-
DOI: 10.1038/35002131.
-
Gardner TS, Cantor CR, Collins JJ. Construction of a genetic toggle switch in Escherichia coli. Nature 2000; 403(6767):339-342. DOI: 10.1038/35002131.
-
(2000)
Nature
, vol.403
, Issue.6767
, pp. 339-342
-
-
Gardner, T.S.1
Cantor, C.R.2
Collins, J.J.3
|