Switching between oscillations and homeostasis in competing negative and positive feedback motifs

TY - JOUR

T1 - Switching between oscillations and homeostasis in competing negative and positive feedback motifs

AU - Li, Weihan

AU - Krishna, Sandeep

AU - Pigolotti, Simone

AU - Mitarai, Namiko

AU - Jensen, Mogens Høgh

PY - 2012/8/21

Y1 - 2012/8/21

N2 - We analyze a class of network motifs in which a short, two-node positive feedback motif is inserted in a three-node negative feedback loop. We demonstrate that such networks can undergo a bifurcation to a state where a stable fixed point and a stable limit cycle coexist. At the bifurcation point the period of the oscillations diverges. Further, intrinsic noise can make the system switch between oscillatory state and the stationary state spontaneously. We find that this switching also occurs in previous models of circadian clocks that use this combination of positive and negative feedbacks. Our results suggest that real-life circadian systems may need specific regulation to prevent or minimize such switching events.

AB - We analyze a class of network motifs in which a short, two-node positive feedback motif is inserted in a three-node negative feedback loop. We demonstrate that such networks can undergo a bifurcation to a state where a stable fixed point and a stable limit cycle coexist. At the bifurcation point the period of the oscillations diverges. Further, intrinsic noise can make the system switch between oscillatory state and the stationary state spontaneously. We find that this switching also occurs in previous models of circadian clocks that use this combination of positive and negative feedbacks. Our results suggest that real-life circadian systems may need specific regulation to prevent or minimize such switching events.

M3 - Journal article

SN - 0022-5193

VL - 307

SP - 205

EP - 210

JO - Journal of Theoretical Biology

JF - Journal of Theoretical Biology

ER -