-
1
-
-
72049099058
-
Graph-theoretic criteria for injectivity and unique equilibria in general chemical reaction systems
-
Banaji M, Craciun G (2010) Graph-theoretic criteria for injectivity and unique equilibria in general chemical reaction systems. Adv Appl Math 44(2): 168-184.
-
(2010)
Adv Appl Math
, vol.44
, Issue.2
, pp. 168-184
-
-
Banaji, M.1
Craciun, G.2
-
2
-
-
7244248616
-
Bifurcation analysis of a model of the budding yeast cell cycle
-
Battogtokh D, Tyson J (2004) Bifurcation analysis of a model of the budding yeast cell cycle. CHAOS 14(3): 653-661.
-
(2004)
Chaos
, vol.14
, Issue.3
, pp. 653-661
-
-
Battogtokh, D.1
Tyson, J.2
-
3
-
-
58049163876
-
Towards a quantitative representation of the cell signaling mechanisms of hallucinogens: Measurement and mathematical modeling of 5-ht1a and 5-ht2a receptor-mediated ERK1/2 activation
-
Chang C, Poteet E, Schetz JA, Gümüş ZH, Weinstein H (2009) Towards a quantitative representation of the cell signaling mechanisms of hallucinogens: Measurement and mathematical modeling of 5-ht1a and 5-ht2a receptor-mediated ERK1/2 activation. Neuropharmacology 56: 213-225.
-
(2009)
Neuropharmacology
, vol.56
, pp. 213-225
-
-
Chang, C.1
Poteet, E.2
Schetz, J.A.3
Gümüş, Z.H.4
Weinstein, H.5
-
4
-
-
3343020085
-
Integrative analysis of cell cycle control in budding yeast
-
Chen K, Calzone L, Csikasz-Nagy A, Cross F, Novak B, Tyson J (2004) Integrative analysis of cell cycle control in budding yeast. Mol Biol Cell 15(8): 3841-3862.
-
(2004)
Mol Biol Cell
, vol.15
, Issue.8
, pp. 3841-3862
-
-
Chen, K.1
Calzone, L.2
Csikasz-Nagy, A.3
Cross, F.4
Novak, B.5
Tyson, J.6
-
5
-
-
0023714694
-
Stoichiometric network analysis
-
Clarke BL (1988) Stoichiometric network analysis. Cell Biophys 12: 237-253.
-
(1988)
Cell Biophys
, vol.12
, pp. 237-253
-
-
Clarke, B.L.1
-
6
-
-
31144454273
-
Using chemical reaction network theory to discard a kinetic mechanism hypothesis
-
Conradi C, Saez-Rodriguez J, Gilles ED, Raisch J (2005) Using chemical reaction network theory to discard a kinetic mechanism hypothesis. IEE Proc Syst Biol (IET Syst Biol) 152(4): 243-248.
-
(2005)
IEE Proc Syst Biol (IET Syst Biol)
, vol.152
, Issue.4
, pp. 243-248
-
-
Conradi, C.1
Saez-Rodriguez, J.2
Gilles, E.D.3
Raisch, J.4
-
7
-
-
37549009180
-
Multistationarity in the activation of an MAPK: parametrizing the relevant region in parameter space
-
Conradi C, Flockerzi D, Raisch J (2008) Multistationarity in the activation of an MAPK: parametrizing the relevant region in parameter space. Math Biosci 211(1): 105-131.
-
(2008)
Math Biosci
, vol.211
, Issue.1
, pp. 105-131
-
-
Conradi, C.1
Flockerzi, D.2
Raisch, J.3
-
8
-
-
27844475135
-
Multiple equilibria in complex chemical reaction networks: I. The injectivity property
-
Craciun G, Feinberg M (2005) Multiple equilibria in complex chemical reaction networks: I. The injectivity property. SIAM J Appl Math 65(5): 1526-1546.
-
(2005)
SIAM J Appl Math
, vol.65
, Issue.5
, pp. 1526-1546
-
-
Craciun, G.1
Feinberg, M.2
-
9
-
-
33745027709
-
Multiple equilibria in complex chemical reaction networks: II. The species-reaction graph
-
Craciun G, Feinberg M (2006) Multiple equilibria in complex chemical reaction networks: II. The species-reaction graph. SIAM J Appl Math 66(4): 1321-1338.
-
(2006)
SIAM J Appl Math
, vol.66
, Issue.4
, pp. 1321-1338
-
-
Craciun, G.1
Feinberg, M.2
-
10
-
-
70349921626
-
Bistability and oscillations in chemical reaction networks
-
Domijan M, Kirkilionis M (2009) Bistability and oscillations in chemical reaction networks. J Math Biol 59(4): 467-501.
-
(2009)
J Math Biol
, vol.59
, Issue.4
, pp. 467-501
-
-
Domijan, M.1
Kirkilionis, M.2
-
11
-
-
0034689637
-
How catalytic mechanisms reveal themselves in multiple steady-state data: I. Basic principles
-
Ellison P, Feinberg M (2000) How catalytic mechanisms reveal themselves in multiple steady-state data: I. Basic principles. J Mol Catal A Chem 154(1-2): 155-167.
-
(2000)
J Mol Catal A Chem
, vol.154
, Issue.1-2
, pp. 155-167
-
-
Ellison, P.1
Feinberg, M.2
-
12
-
-
0034688966
-
How catalytic mechanisms reveal themselves in multiple steady-state data: II. An ethylene hydrogenation example
-
Ellison P, Feinberg M, Yueb MH, Saltsburg H (2000) How catalytic mechanisms reveal themselves in multiple steady-state data: II. An ethylene hydrogenation example. J Mol Catal A Chem 154(1-2): 169-184.
-
(2000)
J Mol Catal A Chem
, vol.154
, Issue.1-2
, pp. 169-184
-
-
Ellison, P.1
Feinberg, M.2
Yueb, M.H.3
Saltsburg, H.4
-
14
-
-
0023531427
-
Chemical reaction network structure and the stability of complex isothermal reactors-I. The deficiency zero and deficiency one theorems
-
Feinberg M (1987) Chemical reaction network structure and the stability of complex isothermal reactors-I. The deficiency zero and deficiency one theorems. Chem Eng Sci 42(10): 2229-2268.
-
(1987)
Chem Eng Sci
, vol.42
, Issue.10
, pp. 2229-2268
-
-
Feinberg, M.1
-
15
-
-
0023842283
-
Chemical reaction network structure and the stability of complex isothermal reactors-II. Multiple steady states for networks of deficiency one
-
Feinberg M (1988) Chemical reaction network structure and the stability of complex isothermal reactors-II. Multiple steady states for networks of deficiency one. Chem Eng Sci 43(1): 1-25.
-
(1988)
Chem Eng Sci
, vol.43
, Issue.1
, pp. 1-25
-
-
Feinberg, M.1
-
16
-
-
0001364051
-
The existence and uniqueness of steady states for a class of chemical reaction networks
-
Feinberg M (1995a) The existence and uniqueness of steady states for a class of chemical reaction networks. Arch Ration Mech Anal 132(4): 311-370.
-
(1995)
Arch Ration Mech Anal
, vol.132
, Issue.4
, pp. 311-370
-
-
Feinberg, M.1
-
17
-
-
0000112210
-
Multiple steady states for chemical reaction networks of Deficiency One
-
Feinberg M (1995b) Multiple steady states for chemical reaction networks of Deficiency One. Arch Ration Mech Anal 132(4): 371-406.
-
(1995)
Arch Ration Mech Anal
, vol.132
, Issue.4
, pp. 371-406
-
-
Feinberg, M.1
-
18
-
-
65249097835
-
Subnetwork analysis for multistationarity in mass action kinetics
-
(conference series). doi: 10. 1088/1742-6596/138/1/012006
-
Flockerzi D, Conradi C (2008) Subnetwork analysis for multistationarity in mass action kinetics. J Phys 138: 012006 (conference series). doi: 10. 1088/1742-6596/138/1/012006.
-
(2008)
J Phys
, vol.138
, pp. 012006
-
-
Flockerzi, D.1
Conradi, C.2
-
20
-
-
11244271554
-
Bernstein's second theorem and viro's method for sparse polynomial systems in chemistry
-
Gatermann K, Wolfrum M (2005) Bernstein's second theorem and viro's method for sparse polynomial systems in chemistry. Adv Appl Math 34(2): 252-294.
-
(2005)
Adv Appl Math
, vol.34
, Issue.2
, pp. 252-294
-
-
Gatermann, K.1
Wolfrum, M.2
-
21
-
-
27744465496
-
Toric ideals and graph theory to analyze hopf bifurcations in mass action systems
-
Gatermann K, Eiswirth M, Sensse A (2005) Toric ideals and graph theory to analyze hopf bifurcations in mass action systems. J Symbol Comput 40(6): 1361-1382.
-
(2005)
J Symbol Comput
, vol.40
, Issue.6
, pp. 1361-1382
-
-
Gatermann, K.1
Eiswirth, M.2
Sensse, A.3
-
22
-
-
0029790351
-
Ultrasensitivity in the mitogen-activated protein kinase cascade
-
Huang CYF, Ferrell JE (1996) Ultrasensitivity in the mitogen-activated protein kinase cascade. PNAS 93(19): 10078-10083.
-
(1996)
Pnas
, vol.93
, Issue.19
, pp. 10078-10083
-
-
Huang, C.Y.F.1
Ferrell, J.E.2
-
23
-
-
71549133354
-
Bistability by multiple phosphorylation of regulatory proteins
-
Kapuy O, Barik D, Sananes MRD, Tyson JJ, Novk B (2009) Bistability by multiple phosphorylation of regulatory proteins. Prog Biophys Mol Biol 100(1-3): 47-56.
-
(2009)
Prog Biophys Mol Biol
, vol.100
, Issue.1-3
, pp. 47-56
-
-
Kapuy, O.1
Barik, D.2
Sananes, M.R.D.3
Tyson, J.J.4
Novk, B.5
-
24
-
-
34447551397
-
Structural and functional analysis of cellular networks with cellnetanalyzer
-
Klamt S, Saez-Rodriguez J, Gilles E (2007) Structural and functional analysis of cellular networks with cellnetanalyzer. BMC Syst Biol 1(1): 2.
-
(2007)
BMC Syst Biol
, vol.1
, Issue.1
, pp. 2
-
-
Klamt, S.1
Saez-Rodriguez, J.2
Gilles, E.3
-
25
-
-
0842288229
-
Signaling switches and bistability arising from multisite phosphorylation in protein kinase cascades
-
Markevich NI, Hoek JB, Kholodenko BN (2004) Signaling switches and bistability arising from multisite phosphorylation in protein kinase cascades. J Cell Biol 164(3): 353-359.
-
(2004)
J Cell Biol
, vol.164
, Issue.3
, pp. 353-359
-
-
Markevich, N.I.1
Hoek, J.B.2
Kholodenko, B.N.3
-
26
-
-
34547292632
-
Graph-theoretic methods for the analysis of chemical and biochemical networks. I. Multistability and oscillations in ordinary differential equation models
-
Mincheva M, Roussel MR (2007) Graph-theoretic methods for the analysis of chemical and biochemical networks. I. Multistability and oscillations in ordinary differential equation models. J Math Biol 55(7): 61-86.
-
(2007)
J Math Biol
, vol.55
, Issue.7
, pp. 61-86
-
-
Mincheva, M.1
Roussel, M.R.2
-
27
-
-
34848893336
-
Bistability and oscillations in the Huang-Ferrell model of MAPK signaling
-
doi: 10. 1371/journal. pcbi. 0030, 184
-
Qiao L, Nachbar RB, Kevrekidis IG, Shvartsman SY (2007) Bistability and oscillations in the Huang-Ferrell model of MAPK signaling. PLoS Comput Biol 3(9). doi: 10. 1371/journal. pcbi. 0030, 184.
-
(2007)
PLoS Comput Biol
, vol.3
, Issue.9
-
-
Qiao, L.1
Nachbar, R.B.2
Kevrekidis, I.G.3
Shvartsman, S.Y.4
-
28
-
-
0004267646
-
-
Princeton: Princeton University Press
-
Rockafellar RT (1970) Convex analysis. Princeton University Press, Princeton.
-
(1970)
Convex Analysis
-
-
Rockafellar, R.T.1
-
29
-
-
0029011218
-
The MAPK signaling cascade
-
Seger R, Krebs E (1995) The MAPK signaling cascade. FASEB J 9: 726-735.
-
(1995)
FASEB J
, vol.9
, pp. 726-735
-
-
Seger, R.1
Krebs, E.2
-
30
-
-
0037417803
-
Hysteresis drives cell-cycle transitions in xenopus laevis egg extracts
-
Sha W, Moore J, Chen K, Lassaletta AD, Yi CS, Tyson JJ, Sible JC (2003) Hysteresis drives cell-cycle transitions in xenopus laevis egg extracts. PNAS 100(3): 975-980.
-
(2003)
Pnas
, vol.100
, Issue.3
, pp. 975-980
-
-
Sha, W.1
Moore, J.2
Chen, K.3
Lassaletta, A.D.4
Yi, C.S.5
Tyson, J.J.6
Sible, J.C.7
-
31
-
-
34547204160
-
The MEK/ERK cascade: from signaling specificity to diverse functions
-
Shaul YD, Seger R (2007) The MEK/ERK cascade: from signaling specificity to diverse functions. Biochim Biophys Acta (BBA) Mol Cell Res 1773(8): 1213-1226.
-
(2007)
Biochim Biophys Acta (BBA) Mol Cell Res
, vol.1773
, Issue.8
, pp. 1213-1226
-
-
Shaul, Y.D.1
Seger, R.2
-
33
-
-
52949098408
-
Large-scale computation of elementary flux modes with bit pattern trees
-
Terzer M, Stelling J (2008) Large-scale computation of elementary flux modes with bit pattern trees. Bioinformatics 24(19): 2229-2235.
-
(2008)
Bioinformatics
, vol.24
, Issue.19
, pp. 2229-2235
-
-
Terzer, M.1
Stelling, J.2
-
34
-
-
0007712725
-
Multistationarity, the basis of cell differentiation and memory. I. Structural conditions of multistationarity and other nontrivial behavior
-
Thomas R, Kaufman M (2001a) Multistationarity, the basis of cell differentiation and memory. I. Structural conditions of multistationarity and other nontrivial behavior. Chaos 11(1): 170-179.
-
(2001)
Chaos
, vol.11
, Issue.1
, pp. 170-179
-
-
Thomas, R.1
Kaufman, M.2
-
35
-
-
0035582202
-
Multistationarity, the basis of cell differentiation and memory. II. Logical analysis of regulatory networks in terms of feedback circuits
-
Thomas R, Kaufman M (2001b) Multistationarity, the basis of cell differentiation and memory. II. Logical analysis of regulatory networks in terms of feedback circuits. Chaos 11(1): 180-195.
-
(2001)
Chaos
, vol.11
, Issue.1
, pp. 180-195
-
-
Thomas, R.1
Kaufman, M.2
-
36
-
-
73249143291
-
The ERK signaling cascade-views from different subcellular compartments
-
Yao Z, Seger R (2009) The ERK signaling cascade-views from different subcellular compartments. BioFactors 35(5): 407-416.
-
(2009)
BioFactors
, vol.35
, Issue.5
, pp. 407-416
-
-
Yao, Z.1
Seger, R.2
|