-
1
-
-
1242274449
-
Detection of multi-stability, bifurcations, and hysteresis in a large class of biological positive-feedback systems
-
D. Angeli, J. E. Ferrell Jr. and E. D. Sontag. Detection of multi-stability, bifurcations, and hysteresis in a large class of biological positive-feedback systems, Proc. Nat. Acad. Sci. USA, 101: 1822-1827, 2004.
-
(2004)
Proc. Nat. Acad. Sci. USA
, vol.101
, pp. 1822-1827
-
-
Angeli, D.1
Ferrell Jr., J.E.2
Sontag, E.D.3
-
2
-
-
1042288931
-
A small-gain theorem for almost global convergence of monotone systems
-
D. Angeli, P. De Leenheer and E. D. Sontag. A small-gain theorem for almost global convergence of monotone systems, Systems and Control Letters, 51: 185-202, 2004.
-
(2004)
Systems and Control Letters
, vol.51
, pp. 185-202
-
-
Angeli, D.1
De Leenheer, P.2
Sontag, E.D.3
-
5
-
-
14344254778
-
An analysis of a circadian model using the smallgain approach to monotone systems
-
Paradise Island, Bahamas, Dec. 2004, IEEE Publications
-
D. Angeli and E. D. Sontag. An analysis of a circadian model using the smallgain approach to monotone systems, proceedings of the IEEE Conf. Decision and Control, Paradise Island, Bahamas, Dec. 2004, IEEE Publications, 575-578, 2004.
-
(2004)
Proceedings of the IEEE Conf. Decision and Control
, pp. 575-578
-
-
Angeli, D.1
Sontag, E.D.2
-
6
-
-
0036306859
-
Positive and negative feedback: Striking a balance between necessary antagonists
-
O. Cinquin and J. Demongeot. Positive and negative feedback: striking a balance between necessary antagonists, J. Theor. Biol., 216: 229-241, 2002.
-
(2002)
J. Theor. Biol.
, vol.216
, pp. 229-241
-
-
Cinquin, O.1
Demongeot, J.2
-
7
-
-
0034644270
-
The segment polarity network is a robust developmental module
-
G. von Dassaw, E. Meir, E.M. Munro, and G.M. Odell. The segment polarity network is a robust developmental module, Nature 406: 188-192, 2000.
-
(2000)
Nature
, vol.406
, pp. 188-192
-
-
Von Dassaw, G.1
Meir, E.2
Munro, E.M.3
Odell, G.M.4
-
9
-
-
33244479806
-
Non-monotone systems decomposable into monotone systems with negative feedback
-
to appear
-
G.A. Enciso, H.L. Smith, and E. D. Sontag. Non-monotone systems decomposable into monotone systems with negative feedback, J. of Differential Equations, 2005, to appear.
-
(2005)
J. of Differential Equations
-
-
Enciso, G.A.1
Smith, H.L.2
Sontag, E.D.3
-
10
-
-
11144226518
-
On the stability of a model of testosterone dynamics
-
G. Enciso and E. Sontag, On the stability of a model of testosterone dynamics, Journal of Mathematical Biology 49: 627-634, 2004.
-
(2004)
Journal of Mathematical Biology
, vol.49
, pp. 627-634
-
-
Enciso, G.1
Sontag, E.2
-
11
-
-
10444225481
-
Monotone systems under positive feedback: Multistability and a reduction theorem
-
G. Enciso and E. D. Sontag. Monotone systems under positive feedback: multistability and a reduction theorem, Systems and Control Letters, 54: 159-168, 2005.
-
(2005)
Systems and Control Letters
, vol.54
, pp. 159-168
-
-
Enciso, G.1
Sontag, E.D.2
-
12
-
-
84941163538
-
Global attractivity, I/O monotone small-gain theorems, and biological delay systems
-
to appear
-
G. Enciso and E. Sontag. Global attractivity, I/O monotone small-gain theorems, and biological delay systems, Discrete and Continuous Dynamical Systems, to appear.
-
Discrete and Continuous Dynamical Systems
-
-
Enciso, G.1
Sontag, E.2
-
13
-
-
33645407079
-
Oscillation in multi-stable monotone system with slowly varying positive feedback
-
submitted for publication (abstract in, New Orleans, July)
-
T. Gedeon and E. D. Sontag. Oscillation in multi-stable monotone system with slowly varying positive feedback, submitted for publication (abstract in Sixth SIAM Conf. on Control and its Applications, New Orleans, July 2005).
-
(2005)
Sixth SIAM Conf. on Control and Its Applications
-
-
Gedeon, T.1
Sontag, E.D.2
-
14
-
-
84893574327
-
Improved approximation algorithms for maximum cut and satisfiability problems using semidefinite programming
-
M. Goemans and D. Williamson. Improved approximation algorithms for maximum cut and satisfiability problems using semidefinite programming, Journal of the ACM, 42 (6): 1115-1145, 1995.
-
(1995)
Journal of the ACM
, vol.42
, Issue.6
, pp. 1115-1145
-
-
Goemans, M.1
Williamson, D.2
-
15
-
-
0001176145
-
Systems of differential equations that are competitive or cooperative II: Convergence almost everywhere
-
M. Hirsch. Systems of differential equations that are competitive or cooperative II: Convergence almost everywhere, SIAM J. Mathematical Analysis, 16: 423-439, 1985.
-
(1985)
SIAM J. Mathematical Analysis
, vol.16
, pp. 423-439
-
-
Hirsch, M.1
-
16
-
-
0042171088
-
Differential equations and convergence almost everywhere in strongly monotone flows
-
M. Hirsch. Differential equations and convergence almost everywhere in strongly monotone flows, Contemporary Mathematics, 17: 267-285, 1983.
-
(1983)
Contemporary Mathematics
, vol.17
, pp. 267-285
-
-
Hirsch, M.1
-
17
-
-
3142517462
-
Topology and robustness in the drosophila segment polarity network
-
N. Ingolia. Topology and robustness in the drosophila segment polarity network, Public Library of Science, 2 (6): 0805-0815, 2004.
-
(2004)
Public Library of Science
, vol.2
, Issue.6
, pp. 805-815
-
-
Ingolia, N.1
-
22
-
-
0018164946
-
Space-dependent cell determination under the control of morphogen gradient
-
H. Meinhardt. Space-dependent cell determination under the control of morphogen gradient, J. Theor. Biol., 74: 307-321, 1978.
-
(1978)
J. Theor. Biol.
, vol.74
, pp. 307-321
-
-
Meinhardt, H.1
-
23
-
-
73049167504
-
General conclusions: Telenomic mechanisms in cellular metabolism, growth, and differentiation
-
J. Monod and F. Jacob. General conclusions: telenomic mechanisms in cellular metabolism, growth, and differentiation, Cold Spring Harbor Symp. Quant. Biol., 26: 389-401, 1961.
-
(1961)
Cold Spring Harbor Symp. Quant. Biol.
, vol.26
, pp. 389-401
-
-
Monod, J.1
Jacob, F.2
-
25
-
-
33746889808
-
A comprehensive pathway map of epidermal growth factor receptor signaling
-
doi:10.1038/msb4100014
-
K. Oda, Y. Matsuoka, A. Funahashi, H. Kitano. A comprehensive pathway map of epidermal growth factor receptor signaling, Molecular Systems Biology doi:10.1038/msb4100014, 2005.
-
(2005)
Molecular Systems Biology
-
-
Oda, K.1
Matsuoka, Y.2
Funahashi, A.3
Kitano, H.4
-
26
-
-
0001549388
-
Feedback loops, stability and multistationarity in dynamical systems
-
E. Plathe, T. Mestl and S.W. Omholt. Feedback loops, stability and multistationarity in dynamical systems, J. Biol. Syst., 3: 409-413, 1995.
-
(1995)
J. Biol. Syst.
, vol.3
, pp. 409-413
-
-
Plathe, E.1
Mestl, T.2
Omholt, S.W.3
-
27
-
-
24744457753
-
A description of dynamical graphs associated to elementary regulatory circuits
-
E. Remy, B. Mosse, C. Chaouiya and D. Thieffry. A description of dynamical graphs associated to elementary regulatory circuits, Bioinformatics, 19 (Suppl. 2): ii172-ii178, 2003.
-
(2003)
Bioinformatics
, vol.19
, Issue.2 SUPPL.
-
-
Remy, E.1
Mosse, B.2
Chaouiya, C.3
Thieffry, D.4
-
30
-
-
0023967009
-
Systems of ordinary differential equations wich generate an orderpreserving flow: A survey of results
-
H. L. Smith. Systems of ordinary differential equations wich generate an orderpreserving flow: A survey of results, SIAM Revews, 30: 87-111, 1988.
-
(1988)
SIAM Revews
, vol.30
, pp. 87-111
-
-
Smith, H.L.1
-
31
-
-
0001923376
-
Necessary conditions for multistationarity and stable periodicity
-
E. H. Snoussi. Necessary conditions for multistationarity and stable periodicity, J. Biol. Syst., 6: 39, 1998.
-
(1998)
J. Biol. Syst.
, vol.6
, pp. 39
-
-
Snoussi, E.H.1
-
32
-
-
10444264607
-
Some new directions in control theory inspired by systems biology
-
E. D. Sontag. Some new directions in control theory inspired by systems biology, Systems Biology, 1: 9-18, 2004.
-
(2004)
Systems Biology
, vol.1
, pp. 9-18
-
-
Sontag, E.D.1
-
34
-
-
0018080896
-
Logical analysis of systems comprising feedback loops
-
R. Thomas. Logical analysis of systems comprising feedback loops, J. Theor. Biol., 73: 631656, 1978.
-
(1978)
J. Theor. Biol.
, vol.73
, pp. 631656
-
-
Thomas, R.1
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