Remarks on feedforward circuits, adaptation, and pulse memory
Remarks on feedforward circuits, adaptation, and pulse memory
- Author(s): E.D. Sontag
- DOI: 10.1049/iet-syb.2008.0171
For access to this article, please select a purchase option:
Buy article PDF
Buy Knowledge Pack
IET members benefit from discounts to all IET publications and free access to E&T Magazine. If you are an IET member, log in to your account and the discounts will automatically be applied.
Thank you
Your recommendation has been sent to your librarian.
- Author(s): E.D. Sontag 1
-
-
View affiliations
-
Affiliations:
1: Department of Mathematics, Rutgers University, New Brunswick, USA
-
Affiliations:
1: Department of Mathematics, Rutgers University, New Brunswick, USA
- Source:
Volume 4, Issue 1,
January 2010,
p.
39 – 51
DOI: 10.1049/iet-syb.2008.0171 , Print ISSN 1751-8849, Online ISSN 1751-8857
This note studies feedforward circuits as models for perfect adaptation to step signals in biological systems. A global convergence theorem is proved in a general framework, which includes examples from the literature as particular cases. A notable aspect of these circuits is that they do not adapt to pulse signals, because they display a memory phenomenon. Estimates are given of the magnitude of this effect.
Inspec keywords: differential equations; biology; feedforward
Other keywords:
Subjects: Systems theory applications in biology and medicine; General, theoretical, and mathematical biophysics; Function theory, analysis
References
-
-
1)
- E. Voit , A.R. Neves , H. Santos . The intricate side of systems biology. Proc. Natl. Acad. Sci. USA. , 9452 - 9457
-
2)
- Andrews, B., Iglesias, P., Sontag, E.D.: `Signal detection and approximate adaptation implies an approximate internal model', Proc. IEEE Conf. Decision and Control, December 2006, San Diego, p. 2364–2369.
-
3)
- J. Tsang , J. Zhu , A. van Oudenaarden . MicroRNA-mediated feedback and feedforward loops are recurrent network motifs in mammals. Mol. Cell , 753 - 767
-
4)
- T.-M. Yi , Y. Huang , M.I. Simon , J. Doyle . Robust perfect adaptation in bacterial chemotaxis through integral feedback control. Proc. Natl. Acad. Sci. USA , 4649 - 4653
-
5)
- A. Levchenko , P.A. Iglesias . Models of eukaryotic gradient sensing: application to chemotaxis of amoebae and neutrophils. Biophys J. , 50 - 63
-
6)
- S. Sasagawa , Y. Ozaki , K. Fujita , S. Kuroda . Prediction and validation of the distinct dynamics of transient and sustained ERK activation. Nat. Cell Biol. , 365 - 373
-
7)
- S. Mangan , S. Itzkovitz , A. Zaslaver , U. Alon . The incoherent feed-forward loop accelerates the response-time of the gal system of Escherichia coli. J. Mol. Biol. , 1073 - 1081
-
8)
- A. Kremling , K. Bettenbrock , E.D. Gilles . A feed-forward loop guarantees robust behavior in escherichia coli carbohydrate uptake. Bioinformatics , 704 - 710
-
9)
- P. Menè , G. Pugliese , F. Pricci , U. Di Mario , G.A. Cinotti , F. Pugliese . High glucose level inhibits capacitative Ca2+ influx in cultured rat mesangial cells by a protein kinase C-dependent mechanism. Diabetologia , 521 - 527
-
10)
- T. Nagashima , H. Shimodaira , K. Ide . Quantitative transcriptional control of ErbB receptor signaling undergoes graded to biphasic response for cell differentiation. J. Biol. Chem. , 4045 - 4056
-
11)
- J.J. Tyson , K. Chen , B. Novak . Sniffers, buzzers, toggles, and blinkers: dynamics of regulatory and signaling pathways in the cell. Curr. Opin. Cell. Biol. , 221 - 231
-
12)
- M.P. Mahaut-Smith , S.J. Ennion , M.G. Rolf , R.J. Evans . ADP is not an agonist at P2X(1) receptors: evidence for separate receptors stimulated by ATP and ADP on human platelets. Br. J. Pharmacol. , 108 - 114
-
13)
- E.D. Sontag . (1998) Mathematical control theory. Deterministic finite-dimensional systems.
-
14)
- C. Beta , D. Wyatt , W.-J. Rappel , E. Bodenschatz . Flow photolysis for spatiotemporal stimulation of single cells. Anal. Chem. , 10 , 3940 - 3944
-
15)
- P.A. Iglesias . Feedback control in intracellular signaling pathways: regulating chemotaxis in dictyostelium discoideum. Eur. J. Control. , 216 - 225
-
16)
- S. Marsigliante , M.G. Elia , B. Di Jeso , S. Greco , A. Muscella , C. Storelli . Increase of [Ca(2+)](i) via activation of ATP receptors in PC-Cl3 rat thyroid cell line. Cell. Signal. , 61 - 67
-
17)
- U. Alon . (2006) An introduction to systems biology: design principles of biological circuits.
-
18)
- A. Ma'ayan , S.L. Jenkins , S. Neves . Formation of regulatory patterns during signal propagation in a Mammalian cellular network. Science , 1078 - 1083
-
19)
- F.-D. Xu , Z.-R. Liu , Z.-Y. Zhang , J.-W. Shen . Robust and adaptive microRNA-mediated incoherent feedforward motifs. Chinese Phys. Lett. , 2 , 028701 - 3
-
20)
- G. Hornung , N. Barkai . Noise propagation and signaling sensitivity in biological networks: a role for positive feedback. PLoS Comput. Biol.
-
21)
- S. Semsey , S. Krishna , K. Sneppen , S. Adhya . Signal integration in the galactose network of Escherichia coli. Mol. Microbiol. , 465 - 476
-
22)
- M.E. Wall , M.J. Dunlop , W.S. Hlavacek . Multiple functions of a feed-forward-loop gene circuit. J. Mol. Biol. , 501 - 514
-
23)
- R. Nesher , E. Cerasi . Modeling phasic insulin release: immediate and time-dependent effects of glucose. Diabetes , S53 - 59
-
24)
- L.A. Ridnour , A.N. Windhausen , J.S. Isenberg . Nitric oxide regulates matrix metalloproteinase-9 activity by guanylyl-cyclase-dependent and -independent pathways. Proc. Natl. Acad. Sci. USA , 16898 - 16903
-
25)
- J.S.A. Hepburn , W.M. Wonham . Error feedback and internal models on differentiable manifolds. IEEE Trans. Autom. Control , 397 - 403
-
26)
- Andrews, B., Sontag, E.D., Iglesias, P.: `An approximate internal model principle: applications to nonlinear models of biological systems', Proc. 17th IFAC World Congress, Seoul, p. 6, Paper FrB25.3, 2008.
-
27)
- D. Kim , Y.K. Kwon , K.H. Cho . The biphasic behavior of incoherent feed-forward loops in biomolecular regulatory networks. Bioessays , 1204 - 1211
-
28)
- E.D. Sontag . Adaptation and regulation with signal detection implies internal model. Syst. Control Lett. , 2 , 119 - 126
-
29)
- L. Yang , P.A. Iglesias . Positive feedback may cause the biphasic response observed in the chemoattractant-induced response of dictyostelium cells. Syst. Control Lett. , 4 , 329 - 337
-
30)
- A. Cournac , J.A. Sepulchre . Simple molecular networks that respond optimally to time-periodic stimulation. BMC Syst Biol.
-
31)
- B.A. Francis , W.M. Wonham . The internal model principle for linear multivariable regulators. Appl. Math. Optim. , 170 - 194
-
1)