-
1
-
-
0002712756
-
Signal processing by biochemical reaction networks
-
Walleczek, J., Ed.; Cambridge University Press: Cambridge, U.K.
-
Arkin, A. Signal Processing by Biochemical Reaction Networks. In Self-Organized Biodynamics and Nonlinear Control; Walleczek, J., Ed.; Cambridge University Press: Cambridge, U.K., 2000; pp 112-144.
-
(2000)
Self-Organized Biodynamics and Nonlinear Control
, pp. 112-144
-
-
Arkin, A.1
-
5
-
-
0020041267
-
-
Richardson, I.W.; Louie, A.H.; Swaminathan, S. J. Theor. Biol. 1982, 94, 61.
-
(1982)
J. Theor. Biol.
, vol.94
, pp. 61
-
-
Richardson, I.W.1
Louie, A.H.2
Swaminathan, S.3
-
7
-
-
0011305131
-
-
Hauri, D.C.; Shen, P.-D.; Arkin, A.; Ross, J. J. Phys. Chem. B 1997, 101, 3872-3876.
-
(1997)
J. Phys. Chem. B
, vol.101
, pp. 3872-3876
-
-
Hauri, D.C.1
Shen, P.-D.2
Arkin, A.3
Ross, J.4
-
8
-
-
0030848624
-
-
Arkin, A.P.; Shen, P.-D.; Ross, J. Science (Washington, D.C.) 1997, 277, 1275.
-
(1997)
Science (Washington, D.C.)
, vol.277
, pp. 1275
-
-
Arkin, A.P.1
Shen, P.-D.2
Ross, J.3
-
9
-
-
0030888186
-
-
Dolmetsh, R.E.; Lewis, R.S.; Goodnow, C.; Healy, J.I. Nature (London) 1997, 386, 855.
-
(1997)
Nature (London)
, vol.386
, pp. 855
-
-
Dolmetsh, R.E.1
Lewis, R.S.2
Goodnow, C.3
Healy, J.I.4
-
10
-
-
0004155427
-
-
W.H. Freeman and Co.: New York
-
Stryer, L. Biochemistry; W.H. Freeman and Co.: New York, 1988.
-
(1988)
Biochemistry
-
-
Stryer, L.1
-
11
-
-
0029143569
-
-
Hajnoczky, G.; Robb-Gaspers, L.D.; Seitz, M.B.; Thomas, A.P. Cell 1995, 82, 415.
-
(1995)
Cell
, vol.82
, pp. 415
-
-
Hajnoczky, G.1
Robb-Gaspers, L.D.2
Seitz, M.B.3
Thomas, A.P.4
-
14
-
-
0034880844
-
-
Lansky, P.; Krivan, V.; Rospars, J.P. Eur. Biophys. J. 2001, 30, 110-120.
-
(2001)
Eur. Biophys. J.
, vol.30
, pp. 110-120
-
-
Lansky, P.1
Krivan, V.2
Rospars, J.P.3
-
18
-
-
0011350447
-
-
note
-
l2 throughout the expressions related to eq 23.
-
-
-
-
20
-
-
0011264571
-
-
note
-
i〉).
-
-
-
-
21
-
-
0011265661
-
-
note
-
From this point on, we shall leave out most of the derivations and intermediate computations, presenting only the main results. For a more detailed explanation and discussion, please refer to ref 17.
-
-
-
-
22
-
-
0011305598
-
-
note
-
2 > 1, regimes, respectively.
-
-
-
-
23
-
-
0011264386
-
-
note
-
Note that writing the solution in this form provides a concise formalism that incorporates the two possible cases for initial conditions simultaneously rather than considering them separately while getting essentially the same result with tanh replaced by coth. If Im[α] = π/2 - tanh is converted to coth, because tanh (x ± iy) = (tanh (x) ± i tan (y))/(1 ± i tanh(x) tan(y)) and tanh(x) = 1/coth(x), the solution exponentially decays towards the stationary state instead of exponentially approaching it from below, which is the case when Ira[α] = 0. Titus, the solution is always real and consistent with the result for γ = 0.
-
-
-
-
24
-
-
0011350448
-
-
note
-
2 and that the "flat" region discussed above does not exist.
-
-
-
-
26
-
-
0011746974
-
-
Hahn, H.S.; Nitzan, A.; Ortoleva, P.; Ross, J. Proc. Natl. Acad. Sci. U.S.A. 1974, 71, 4067-4071.
-
(1974)
Proc. Natl. Acad. Sci. U.S.A.
, vol.71
, pp. 4067-4071
-
-
Hahn, H.S.1
Nitzan, A.2
Ortoleva, P.3
Ross, J.4
-
29
-
-
33947090652
-
-
Field, R.J.; Koros, E.; Noyes, R.M. J. Am. Chem. Soc. 1972, 94, 8649-8664.
-
(1972)
J. Am. Chem. Soc.
, vol.94
, pp. 8649-8664
-
-
Field, R.J.1
Koros, E.2
Noyes, R.M.3
-
32
-
-
0029654080
-
-
Tang, Y.: Othmer, H.G. Philos. Trans. R. Soc. London, Ser. B 1995, 349, 179-195.
-
(1995)
Philos. Trans. R. Soc. London, Ser. B
, vol.349
, pp. 179-195
-
-
Tang, Y.1
Othmer, H.G.2
-
33
-
-
0015581672
-
-
Oster, G.F.; Perelson, A.S.; Katchalsky, A.Q. Rev. Biophys. 1973, 6, 1-134.
-
(1973)
Q. Rev. Biophys.
, vol.6
, pp. 1-134
-
-
Oster, G.F.1
Perelson, A.S.2
Katchalsky, A.3
-
35
-
-
0000058879
-
-
Oster, G.F.; Perelson, A.S.; Katchalsky, A. Nature (London) 1971, 234, 393-399.
-
(1971)
Nature (London)
, vol.234
, pp. 393-399
-
-
Oster, G.F.1
Perelson, A.S.2
Katchalsky, A.3
-
37
-
-
36449004539
-
-
Dykman, M.I.; Mori, E.; Ross, J.; Hunt, P.M.. Chem. Phys. 1994, 100, 5735-5750.
-
(1994)
Chem. Phys.
, vol.100
, pp. 5735-5750
-
-
Dykman, M.I.1
Mori, E.2
Ross, J.3
Hunt, P.M.4
-
41
-
-
0033518234
-
-
Hartwell, L.H.; Hopfield, J.J.; Leibler, S.; Murray, A.W. Nature (London) 1999, 402, C47-52.
-
(1999)
Nature (London)
, vol.402
-
-
Hartwell, L.H.1
Hopfield, J.J.2
Leibler, S.3
Murray, A.W.4
-
43
-
-
0041744850
-
-
Samoilov, M.; Arkin, A.; Ross, J. Chaos 2001, 11, 108-114.
-
(2001)
Chaos
, vol.11
, pp. 108-114
-
-
Samoilov, M.1
Arkin, A.2
Ross, J.3
|