TY - JOUR
T1 - Periodic Switching in a Recombinase-Based Molecular Circuit
AU - Samaniego, Christian Cuba
AU - Giordano, Giulia
AU - Franco, Elisa
N1 - Accepted Author Manuscript
PY - 2020
Y1 - 2020
N2 - An important challenge in synthetic biology is the construction of periodic circuits with tunable and predictable period. We propose a general architecture, based on the use of recombinase proteins and negative feedback, to build a molecular device for periodic switching between two distinct regimes; the switching rule depends on known concentration thresholds for some circuit components. We analytically characterize the threshold values for which a periodic orbit is guaranteed to exist and attract all trajectories with initial conditions within an invariant set, and we provide expressions for period and amplitude. We describe two distinct biological realizations of the recombinase architecture, and show their capacity to exhibit periodic behaviors via extensive numerical simulations.
AB - An important challenge in synthetic biology is the construction of periodic circuits with tunable and predictable period. We propose a general architecture, based on the use of recombinase proteins and negative feedback, to build a molecular device for periodic switching between two distinct regimes; the switching rule depends on known concentration thresholds for some circuit components. We analytically characterize the threshold values for which a periodic orbit is guaranteed to exist and attract all trajectories with initial conditions within an invariant set, and we provide expressions for period and amplitude. We describe two distinct biological realizations of the recombinase architecture, and show their capacity to exhibit periodic behaviors via extensive numerical simulations.
KW - Biomolecular systems
KW - systems biology
UR - http://www.scopus.com/inward/record.url?scp=85068605661&partnerID=8YFLogxK
U2 - 10.1109/LCSYS.2019.2923271
DO - 10.1109/LCSYS.2019.2923271
M3 - Article
AN - SCOPUS:85068605661
SN - 2475-1456
VL - 4
SP - 241
EP - 246
JO - IEEE Control Systems Letters
JF - IEEE Control Systems Letters
IS - 1
ER -