Monotone and near-monotone biochemical networks

ED Sontag - Systems and synthetic biology, 2007 - Springer
Monotone subsystems have appealing properties as components of larger networks, since
they exhibit robust dynamical stability and predictability of responses to perturbations. This …

[PDF][PDF] Some new directions in control theory inspired by systems biology

ED Sontag - Systems biology, 2004 - academia.edu
This paper, addressed primarily to engineers and mathematicians with an interest in control
theory, argues that entirely new theoretical problems arise naturally when addressing …

A Petri net approach to the study of persistence in chemical reaction networks

D Angeli, P De Leenheer, ED Sontag - Mathematical biosciences, 2007 - Elsevier
Persistence is the property, for differential equations in Rn, that solutions starting in the
positive orthant do not approach the boundary of the orthant. For chemical reactions and …

Molecular systems biology and control

ED Sontag - European journal of control, 2005 - Elsevier
This paper, prepared for a tutorial at the 2005 IEEE Conference on Decision and Control,
presents an introduction to molecular systems biology and some associated problems in …

Operating regimes of signaling cycles: statics, dynamics, and noise filtering

C Gomez-Uribe, GC Verghese… - PLoS computational …, 2007 - journals.plos.org
A ubiquitous building block of signaling pathways is a cycle of covalent modification (eg,
phosphorylation and dephosphorylation in MAPK cascades). Our paper explores the kind of …

Stochastic strategies for a swarm robotic assembly system

L Matthey, S Berman, V Kumar - 2009 IEEE International …, 2009 - ieeexplore.ieee.org
We present a decentralized, scalable approach to assembling a group of heterogeneous
parts into different products using a swarm of robots. While the assembly plans are …

On imposing detailed balance in complex reaction mechanisms

J Yang, WJ Bruno, WS Hlavacek, JE Pearson - Biophysical journal, 2006 - cell.com
In a recent article, Colquhoun et al.(Colquhoun, D., KA Dowsland, M. Beato, and AJ Plested.
2004. Biophys. J. 86: 3510–3518) present a method to impose detailed balance on a …

A Petri net approach to persistence analysis in chemical reaction networks

D Angeli, P De Leenheer, E Sontag - Biology and control theory: current …, 2007 - Springer
A positive dynamical system is said to be persistent if every solution that starts in the interior
of the positive orthant does not approach the boundary of this orthant. For chemical reaction …

Menage a Trois: intimate relationship among a microRNA, long noncoding RNA, and mRNA

GW Dorn, SJ Matkovich - Circulation research, 2014 - Am Heart Assoc
Dorn and Matkovich Interaction Between RNA Species 1363 meaningful levels in mouse
hearts, the structure of the mouse Sox6 3′ UTRs provides a high probability of access to≥ …

Input-to-state stability of rate-controlled biochemical networks

M Chaves - SIAM Journal on Control and Optimization, 2005 - SIAM
In this paper, the study of the class of biochemical systems known as zero deficiency
networks is extended to the case of time-varying kinetic parameters. We show that the …