-
1
-
-
0036207347
-
Modeling and simulation of genetic regulatory systems: A literature review
-
De Jong H. Modeling and simulation of genetic regulatory systems: A literature review. J. Comput. Biol. 9 (2002) 67-103
-
(2002)
J. Comput. Biol.
, vol.9
, pp. 67-103
-
-
De Jong, H.1
-
2
-
-
0035449932
-
Modeling circadian oscillations with interlocking positive and negative feedback loops
-
Smolen P., Baxter D.A., and Byrne J.H. Modeling circadian oscillations with interlocking positive and negative feedback loops. J. Neurosci. 27 (2001) 6644-6656
-
(2001)
J. Neurosci.
, vol.27
, pp. 6644-6656
-
-
Smolen, P.1
Baxter, D.A.2
Byrne, J.H.3
-
3
-
-
0036840199
-
A reduced model clarifies the role of feedback loops and time delays in the Drosophila circadian oscillator
-
Smolen P., Baxter D.A., and Byrne J.H. A reduced model clarifies the role of feedback loops and time delays in the Drosophila circadian oscillator. Biophys. J. 83 (2002) 2349-2359
-
(2002)
Biophys. J.
, vol.83
, pp. 2349-2359
-
-
Smolen, P.1
Baxter, D.A.2
Byrne, J.H.3
-
4
-
-
0032758081
-
A simple model of circadian rhythms based on dimerization and proteolysis of PER and TIM
-
Tyson J.J., Hong C.I., Thron C.D., and Novak B. A simple model of circadian rhythms based on dimerization and proteolysis of PER and TIM. Biophys. J. 77 (1999) 2411-2417
-
(1999)
Biophys. J.
, vol.77
, pp. 2411-2417
-
-
Tyson, J.J.1
Hong, C.I.2
Thron, C.D.3
Novak, B.4
-
5
-
-
0033532569
-
Chaos and birhythmicity in a model for circadian oscillations of the PER and TIM proteins in Drosophila
-
Leloup J.C., and Loldbeter A. Chaos and birhythmicity in a model for circadian oscillations of the PER and TIM proteins in Drosophila. J. Theoret. Biol. 198 (1999) 445-459
-
(1999)
J. Theoret. Biol.
, vol.198
, pp. 445-459
-
-
Leloup, J.C.1
Loldbeter, A.2
-
6
-
-
0028741468
-
A liapunov function for four dimensional positive feedback systems
-
Jiang J.F. A liapunov function for four dimensional positive feedback systems. Quart. Appl. Math. 62 (1994) 601-614
-
(1994)
Quart. Appl. Math.
, vol.62
, pp. 601-614
-
-
Jiang, J.F.1
-
7
-
-
0023080895
-
Oscillations and multiple steady states in cyclic gene model with repression
-
Smith H.L. Oscillations and multiple steady states in cyclic gene model with repression. J. Math. Biol. 25 (1987) 169-190
-
(1987)
J. Math. Biol.
, vol.25
, pp. 169-190
-
-
Smith, H.L.1
-
8
-
-
0036576340
-
Stability of genetic regulatory networks with time delay
-
Chen L.N., and Aihara K. Stability of genetic regulatory networks with time delay. IEEE Trans. Circuits Syst. I 49 (2002) 602-608
-
(2002)
IEEE Trans. Circuits Syst. I
, vol.49
, pp. 602-608
-
-
Chen, L.N.1
Aihara, K.2
-
9
-
-
0029267491
-
Dynamical behaviour of biological regulatory networks:I. Biological role of feedback loops and practical use of the concept of the loop-characteristic state
-
Thomas R., Thieffry D., and Kaufman M. Dynamical behaviour of biological regulatory networks:I. Biological role of feedback loops and practical use of the concept of the loop-characteristic state. Bull. Math. Biol. 57 (1995) 247-276
-
(1995)
Bull. Math. Biol.
, vol.57
, pp. 247-276
-
-
Thomas, R.1
Thieffry, D.2
Kaufman, M.3
-
10
-
-
0034688173
-
A synthetic oscillatory network of transcriptional regulators
-
Elowitz M.B., and Liebler S. A synthetic oscillatory network of transcriptional regulators. Nature 403 (2000) 335-338
-
(2000)
Nature
, vol.403
, pp. 335-338
-
-
Elowitz, M.B.1
Liebler, S.2
-
11
-
-
0034688174
-
Construction of a genetic toggle switch in Escherichia coli
-
Gardner T.S., Cantor C.R., and Collins J.J. Construction of a genetic toggle switch in Escherichia coli. Nature 403 (2000) 339-342
-
(2000)
Nature
, vol.403
, pp. 339-342
-
-
Gardner, T.S.1
Cantor, C.R.2
Collins, J.J.3
-
12
-
-
0036803078
-
A model of periodic oscillation for genetic regulatory systems
-
Chen L.N., and Aihara K. A model of periodic oscillation for genetic regulatory systems. IEEE Trans. Circuits Syst. I 49 (2002) 1429-1436
-
(2002)
IEEE Trans. Circuits Syst. I
, vol.49
, pp. 1429-1436
-
-
Chen, L.N.1
Aihara, K.2
-
13
-
-
0345549531
-
Modeling genetic switches with positive feedback loops
-
Kobayashi T., Chen L.N., and Aihara K. Modeling genetic switches with positive feedback loops. J. Theoret. Biol. 221 (2003) 379-399
-
(2003)
J. Theoret. Biol.
, vol.221
, pp. 379-399
-
-
Kobayashi, T.1
Chen, L.N.2
Aihara, K.3
-
14
-
-
0029267492
-
Dynamical behaviour of biological regulatory networks-II. Immunity control in bacteriophage lambda
-
Thieffry D., and Thomas R. Dynamical behaviour of biological regulatory networks-II. Immunity control in bacteriophage lambda. Bull. Math. Biol. 57 (1995) 277-297
-
(1995)
Bull. Math. Biol.
, vol.57
, pp. 277-297
-
-
Thieffry, D.1
Thomas, R.2
-
15
-
-
0002984231
-
Systems of differential equations that are competitive or cooperative V: Convergence in 3-dimensional systems
-
Hirsch M.W. Systems of differential equations that are competitive or cooperative V: Convergence in 3-dimensional systems. J. Differential Equations 80 (1989) 94-106
-
(1989)
J. Differential Equations
, vol.80
, pp. 94-106
-
-
Hirsch, M.W.1
-
16
-
-
0000885375
-
Systems of differential equations which are competitive or cooperative I: Limits sets
-
Hirsch M.W. Systems of differential equations which are competitive or cooperative I: Limits sets. SIAM J. Math. Anal. 13 (1982) 167-179
-
(1982)
SIAM J. Math. Anal.
, vol.13
, pp. 167-179
-
-
Hirsch, M.W.1
-
17
-
-
0001176145
-
System of differential equations which are competitive or cooperative II: Convergence almost everywhere
-
Hirsch M.W. System of differential equations which are competitive or cooperative II: Convergence almost everywhere. SIAM J. Math. Anal. 16 (1985) 423-434
-
(1985)
SIAM J. Math. Anal.
, vol.16
, pp. 423-434
-
-
Hirsch, M.W.1
-
18
-
-
84956106116
-
System of differential equations which are competitive or cooperative III: Competing species
-
Hirsch M.W. System of differential equations which are competitive or cooperative III: Competing species. Nonlinearity 1 (1988) 51-71
-
(1988)
Nonlinearity
, vol.1
, pp. 51-71
-
-
Hirsch, M.W.1
-
19
-
-
0001015290
-
System of differential equations which are competitive or cooperative IV: Structural stability in three dimensional systems
-
Hirsch M.W. System of differential equations which are competitive or cooperative IV: Structural stability in three dimensional systems. SIAM J. Math. Anal. 21 (1990) 1225-1234
-
(1990)
SIAM J. Math. Anal.
, vol.21
, pp. 1225-1234
-
-
Hirsch, M.W.1
-
20
-
-
0003270907
-
Monotone dynamical systems: An introduction to theory of competitive and cooperative systems
-
AMS, Providence, RI
-
Smith H.L. Monotone dynamical systems: An introduction to theory of competitive and cooperative systems. Math. Surveys Monogr. vol. 41 (1995), AMS, Providence, RI
-
(1995)
Math. Surveys Monogr.
, vol.41
-
-
Smith, H.L.1
-
21
-
-
0036833148
-
The classification of the dynamical behavior of 3-dimensional type K monotone Lotka-Volterra systems
-
Liang X., and Jiang J.F. The classification of the dynamical behavior of 3-dimensional type K monotone Lotka-Volterra systems. Nonlinear Anal. TMA 51 (2002) 749-763
-
(2002)
Nonlinear Anal. TMA
, vol.51
, pp. 749-763
-
-
Liang, X.1
Jiang, J.F.2
-
22
-
-
0242371799
-
The dynamical behavior of type-K competitive Kolmogorov systems and its application to three-dimensional type-K competitive Lotka-Volterra systems
-
Liang X., and Jiang J.F. The dynamical behavior of type-K competitive Kolmogorov systems and its application to three-dimensional type-K competitive Lotka-Volterra systems. Nonlinearity 16 (2003) 785-801
-
(2003)
Nonlinearity
, vol.16
, pp. 785-801
-
-
Liang, X.1
Jiang, J.F.2
-
23
-
-
0034968287
-
A mathematical model for prokaryotic synthesis
-
Drew D.A. A mathematical model for prokaryotic synthesis. Bull. Math. Biol 63 (2001) 329-351
-
(2001)
Bull. Math. Biol
, vol.63
, pp. 329-351
-
-
Drew, D.A.1
-
24
-
-
0017745278
-
A global stability criterion for simple control loops
-
Allwright D.J. A global stability criterion for simple control loops. J. Math. Biol. 4 (1977) 363-373
-
(1977)
J. Math. Biol.
, vol.4
, pp. 363-373
-
-
Allwright, D.J.1
-
25
-
-
0038298805
-
Feedback regulation in the lactose operon: A mathematical modeling study and comparison with experimental data
-
Yildirim N., and Mackey M.C. Feedback regulation in the lactose operon: A mathematical modeling study and comparison with experimental data. Biophys. J. 84 (2003) 2841-2851
-
(2003)
Biophys. J.
, vol.84
, pp. 2841-2851
-
-
Yildirim, N.1
Mackey, M.C.2
-
26
-
-
3042596483
-
Dynamics and bistability in a reduced model of the lac operon
-
Yildirim N., Santillan M., and Horike D. Dynamics and bistability in a reduced model of the lac operon. Chaos 14 (2004) 279-292
-
(2004)
Chaos
, vol.14
, pp. 279-292
-
-
Yildirim, N.1
Santillan, M.2
Horike, D.3
-
28
-
-
0034696445
-
How to make a biological switch
-
Cherry J.L., and Adler F.R. How to make a biological switch. J. Theoret. Biol. 203 (2000) 117-133
-
(2000)
J. Theoret. Biol.
, vol.203
, pp. 117-133
-
-
Cherry, J.L.1
Adler, F.R.2
-
29
-
-
3142741540
-
Dynamic behaviour in mathematical models of the tryptophan operon
-
Santillan M., and Mackey M.C. Dynamic behaviour in mathematical models of the tryptophan operon. Chaos 11 (2001) 261-268
-
(2001)
Chaos
, vol.11
, pp. 261-268
-
-
Santillan, M.1
Mackey, M.C.2
-
30
-
-
0035852686
-
Dynamic regulation of the tryptophan operson: A modeling study and comparison with data
-
Santillan M., and Mackey M.C. Dynamic regulation of the tryptophan operson: A modeling study and comparison with data. Proc. Natl. Acad. Sci. 98 (2001) 1364-1369
-
(2001)
Proc. Natl. Acad. Sci.
, vol.98
, pp. 1364-1369
-
-
Santillan, M.1
Mackey, M.C.2
-
31
-
-
0001243427
-
Monotone semiflows generated by functional differential equations
-
Smith H.L. Monotone semiflows generated by functional differential equations. J. Differential Equations 66 (1987) 420-442
-
(1987)
J. Differential Equations
, vol.66
, pp. 420-442
-
-
Smith, H.L.1
-
32
-
-
0020155008
-
A test for stability of linear differential delay equations
-
Mahaffy J.M. A test for stability of linear differential delay equations. Quart. Appl. Math. 40 (1982) 193-202
-
(1982)
Quart. Appl. Math.
, vol.40
, pp. 193-202
-
-
Mahaffy, J.M.1
-
33
-
-
0028817626
-
Global stability for the SEIR model in epidemiology
-
Li M.Y., and Muldowney J.S. Global stability for the SEIR model in epidemiology. Math. Biosci. 125 (1995) 155-164
-
(1995)
Math. Biosci.
, vol.125
, pp. 155-164
-
-
Li, M.Y.1
Muldowney, J.S.2
-
34
-
-
0031997312
-
On the asymptotic May-Leonard model of three competitive species
-
Chi C.W., Hsu S.B., and Wu L.I. On the asymptotic May-Leonard model of three competitive species. SIAM J. Appl. Math. 58 (1998) 211-226
-
(1998)
SIAM J. Appl. Math.
, vol.58
, pp. 211-226
-
-
Chi, C.W.1
Hsu, S.B.2
Wu, L.I.3
-
36
-
-
7744230024
-
Graphic requirement for multistationarity
-
Soulé C. Graphic requirement for multistationarity. ComPlexUs 1 (2003) 123-133
-
(2003)
ComPlexUs
, vol.1
, pp. 123-133
-
-
Soulé, C.1
-
37
-
-
0035578429
-
Design principles for elementary gene circuits: Elements, methods and examples
-
Savageau M.A. Design principles for elementary gene circuits: Elements, methods and examples. Chaos 11 (2001) 142-159
-
(2001)
Chaos
, vol.11
, pp. 142-159
-
-
Savageau, M.A.1
-
38
-
-
0036846553
-
Alternative designs for a genetic switch: Analysis of switching times using the piecewise power-law representation
-
Savageau M.A. Alternative designs for a genetic switch: Analysis of switching times using the piecewise power-law representation. Math. Biosci. 180 (2002) 237-253
-
(2002)
Math. Biosci.
, vol.180
, pp. 237-253
-
-
Savageau, M.A.1
|