Some possible papers for project
- Network Motifs: Simple Building Blocks of Complex Networks,
R Milo, S Shen-Orr, S Itzkovitz, N Kashtan, D Chklovskii & U Alon,
Science, 298:824-827 (2002).
- Construction of a genetic toggle switch in Escherichia coli,
Nature 403, 339 - 342 (2000)
Timothy S. Gardner, Charles R. Cantor, James J. Collins
- Synchronizing genetic relaxation oscillators by intercell signaling,
Proc Natl Acad Sci U S A. 2002 Jan 22;99(2):679-84.
McMillen D, Kopell N, Hasty J, Collins JJ.
- Essential nonlinearities in hearing,
Eguiluz, V. M., Ospeck, M., Choe, Y., Hudspeth, A. J. & Magnasco, M. O.
Physical Review Letters 84, 5232-5235 (2000).
- Prediction and measurement of an autoregulatory genetic module,
Isaacs FJ, Hasty J, Cantor CR, Collins JJ.,
Proc Natl Acad Sci U S A. 2003 Jun 24;100(13):7714-9.
- Multistationarity, the Basis of Cell Differentiation and Memory. I. Structural Conditions of Multistationarity and Other Non-Trivial Behaviour,
R. Thomas and M. Kaufman
Chaos 11,170-179 (2001).
- MAP kinase phosphatase as a locus of flexibility in a mitogen-activated protein kinase signaling network,
Bhalla US, Ram PT, Iyengar R.,
Science. 2002 Aug 9;297(5583):948-9.
- Dynamic behavior in mathematical models of the tryptophan operon,
Moises Santillan and Michael C. Mackey
Chaos: An Interdisciplinary Journal of Nonlinear Science Vol 11(1) pp. 261-268. March 2001
- Systemic metabolic reactions are obtained by singular value decomposition of genome-scale stoichiometric matrices,
Famili I, Palsson BO,
J Theor Biol. 2003 Sep 7;224(1):87-96.
- Frequency domain analysis of noise in autoregulated gene circuits,
Proc Natl Acad Sci U S A. 2003 Apr 15;100(8):4551-6.
Simpson ML, Cox CD, Sayler GS.
- A Model of Periodic Oscillation for Genetic Regulatory Systems,
IEEE Transactions On Circuits And Systems I: Fundamental Theory And Applications, VOL. 49, NO. 10, October 2002 1429
Luonan Chen and Kazuyuki Aihara
- Using mathematics to understand HIV immune dynamics,
Kirschner D.
AMS Notices pp. 191-202, February 1996.
(This paper is a bit older than the rest, and quite different. But since
there was a talk about the subject in class, some of you might be interested.)
- Network Dynamics And Cell Physiology,
Nat Rev Mol Cell Biol. 2001 Dec;2(12):908-16.
Tyson JJ, Chen K, Novak B.
(This paper is more of a "survey" and expository type.)