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Abstract: This paper, addressed primarily to engineers and mathematicians with an interest in control theory, argues that entirely new theoretical problems arise naturally when addressing questions in the field of systems biology. Examples from the author's recent work are used to illustrate this point. (Update)
Cited by: More
Monotone Systems Under Positive Feedback: Multistability and.. - Enciso, Sontag (2004) (Correct)
Active bibliography (related documents): More All
1.9: Interconnections of Monotone Systems with Steady-State.. - Angeli, Sontag (2004) (Correct)
1.7: Monotone Control Systems - Angeli, Sontag (2003) (Correct)
1.2: A Tutorial on Monotone Systems - With an Application to .. - De Leenheer, Angeli.. (2004) (Correct)
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0.2: Controllability of Dynamical Extensions with Bounded Control: - Application To Robotics (Correct)
0.2: On the Stability of a Model of Testosterone Dynamics - Enciso, Sontag (Correct)
0.2: A Lyapunov Characterization of Robust Stabilization - Ledyaev, Sontag (1997) (Correct)
BibTeX entry: (Update)
E.D. Sontag, Some new directions in control theory inspired by systems biology, Systems Biology (2004) 9-18. http://citeseer.ist.psu.edu/sontag04some.html More
@misc{ sontag04some,
author = "E. Sontag",
title = "Some new directions in control theory inspired by systems biology",
text = "E.D. Sontag, Some new directions in control theory inspired by systems
biology, Systems Biology (2004) 9-18.",
year = "2004",
url = "citeseer.ist.psu.edu/sontag04some.html" }
Citations (may not include all citations):28 From molecular to modular cell biology (context) - Hartwell, Leibler et al. - 1999
18 Biochemical Systems Analysis. A Study of Function and Design.. (context) - Savageau - 1976
16 Monotone dynamical systems: An introduction to the theory of.. (context) - Smith - 1995
15 Chemical reaction network structure and the stabiliy of comp.. (context) - Feinberg - 1987
13 The Regulation of Cellular Systems (context) - Heinrich, Schuster - 1996
12 General mass action kinetics (context) - Horn, Jackson - 1972
10 The hallmarks of cancer (context) - Hanahan, Weinberg - 2000
9 Monotone control systems - Angeli, Sontag - 2003
6 Asymptotic amplitudes and Cauchy gains: A small-gain princip.. (context) - Sontag - 2002
5 Kinetic proofreading in T-cell receptor signal transduction (context) - McKeithan - 1995
5 Structure and stability of certain chemical networks and app.. - Sontag - 2001
5 Robust perfect adaptation in bacterial chemotaxis through in.. (context) - Yi, Huang et al. - 2000
5 A small-gain theorem for almost global convergence of monoto.. - Angeli, De Leenheer et al.
4 State-Estimators for chemical reaction networks of Feinberg-.. - Chaves, Sontag - 2002
4 The dynamics of feedback control circuits in biochemical pat.. (context) - Tyson, Othmer - 1978
4 Ultrasensitivity in the mitogen-activated protein kinase cas.. (context) - Huang, Ferrell - 1996
4 Negative feedback and ultrasensitivity can bring about oscil.. (context) - Kholodenko - 2000
4 A Genetic Switch: Phage # and Higher Organisms (context) - Ptashne - 1992
3 The biochemical basis of an all-or-none cell fate switch in .. (context) - Jr, Machleder - 1998
3 Small-gain theorems for predator-prey systems (context) - De Leenheer, Angeli et al. - 2003
3 Detection of multi-stability, bifurcations, and hysteresis i.. (context) - Angeli, Ferrell et al. - 2004
3 Untangling the wires: a novel strategy to trace functional i.. (context) - Kholodenko, Kiyatkin et al. - 2002
3 Interconnections of monotone systems with steady-state chara.. - Angeli, Sontag - 2004
2 erential Equations and Mathematical Biology (context) - Jones, Sleeman - 1983
2 Instability results for reaction di#usion equations with Neu.. (context) - Casten, Holland - 1978
2 Multistability in monotone I/O systems (context) - Angeli, Sontag - 2004
2 Autocrine loop as a module for bidirectional and context-dep.. (context) - Shvartsman, Wiley et al. - 2000
2 Testing a mathematical model of the yeast cell cycle (context) - Cross, Archambault et al. - 2002
2 A feedback perspective for chemostat models with crowding e#.. - De Leenheer, Angeli et al. - 2003
2 Building a cell cycle oscillator: hysteresis and bistability.. (context) - Pomerening, Sontag et al. - 2003
2 Observers for certain chemical reaction networks (context) - Chaves, Sontag - 2001
2 Modeling receptor aggregation (context) - Wofsy - 1999
2 An analysis of a circadian model using the small-gain approa.. - Angeli, Sontag
1 Analysis of structural robustness of metabolic networks (context) - Schuster - 2004
1 A positive-feedback-based bistable (context) - Xiong, Ferrell - 2003
1 Feedback tuning of bifurcations (context) - Moreau, Arcak et al. - 2003
1 EGFR activation coupled to inhibition of tyrosine phosphatas.. (context) - Reynolds, Tischer et al. - 2003
1 Cell signaling pathways as control modules: Complexity for s.. (context) - enburger - 2000
1 A computational study of feedback e#ects on signal dynamics .. (context) - enburger - 2001
1 How feedback can tune a bifurcation parameter towards its un.. (context) - Moreau, Arcak et al. - 2003
1 Mitogen-activated protein kinase: Conservation of a three-ki.. (context) - Widmann, Spencer et al. - 1999
1 Monotone systems under positive feedback: multistability and.. - Enciso, Sontag
1 the stability of a model of testosterone dynamics - Enciso, Sontag
1 Di#erential equations and convergence almost everywhere in s.. (context) - Hirsch - 1983
1 Systems of di#erential equations that are competitive or coo.. (context) - Hirsch - 1985
1 the di#erential equations of species in competition (context) - Smale - 1976
1 Steady-states of receptor-ligand dynamics: A theoretical fra.. (context) - Chaves, Sontag et al. - 2004
1 The spatial homogeneity of stable equilibria of some reactio.. (context) - Kishimoto, Weinberger - 1985
1 Stability properties of solutions to systems of reaction-di#.. (context) - Casten, Holland - 1977
1 MAP kinase phosphatase as a locus of flexibility in a mitoge.. (context) - Bhalla, Ram et al. - 2002
1 A tutorial on monotone systems- with an application to chemi.. - De Leenheer, Angeli et al. - 2004
1 Enzyme induction as an all-or-none phenomenon (context) - Novick, Wiener - 1957
1 Non-uniform stable solutions to reaction-di#usion equations:.. (context) - Levin - 1979
1 A general framework for achieving integral control in chemot.. (context) - Iglesias, Levchenko - 2001
1 Adaptation and regulation with signal detection implies inte.. (context) - Sontag - 2003
1 For di#erential equations with r parameters, 2r + 1 experime.. (context) - Sontag - 2002
1 Hysteresis drives cell-cycle transitions in Xenopus laevis e.. (context) - Sha, Moore et al. - 2003
1 Inferring dynamic architecture of cellular networks using ti.. (context) - Sontag, Kiyatkin et al. - 2004
1 Balancing at the border of instability (context) - Moreau, Sontag
1 The JNK Cascade as a biochemical switch in mammalian cells: .. (context) - Bagowski, Besser et al. - 2003
1 the complexity of some combinatorial problems in reverse eng.. (context) - Berman, DasGupta et al.
1 A mechanism for memory storage insensitive to molecular turn.. (context) - Lisman - 1985
Documents on the same site (http://www.math.rutgers.edu/~sontag/papers.html): More
Interconnected Automata and Linear Systems: A Theoretical.. - Sontag (1996) (Correct)
Input-to-State Stabilization of Linear Systems with Positive.. - Nesic, Sontag (Correct)
Asymptotic Controllability Implies Feedback Stabilization - Clarke, Ledyaev, Sontag.. (1999) (Correct)
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