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The Role of Ongoing Dendritic Oscillations in Single-Neuron Dynamics
Figure 5
Phase-locking behavior of subthreshold oscillators.
The oscillations are generated by interactions between 
and 
(see Methods). A: Voltage trajectory (blue) and phase response function (black) of the oscillator. B: Corresponding bifurcation diagrams showing the stable (solid black lines) and unstable (dashed red lines) phase-locked solutions as a function of 
. The bifurcation diagram is shown for a passive cable (top), a cable with a regenerative current (middle), and a cable with a restorative current (bottom). The restorative current 
and regenerative current 
(described in Methods) are inserted in the cable with relative densities of 
and 
, respectively. Linearizing these currents around 
mV gives the parameters 
, 
and 
ms for the regenerative current, and 
, 
and 
ms for the restorative current. The membrane time constant of the connecting dendrite is 
ms. Cross marks in the bifurcation diagrams give the stable phase difference determined with numerical simulations using 
S cm
, 
ms, and 
is 
mV, 
mV and 
mV, respectively for the three panels, so that the cable's resting potential is 
mV. Note that the numerical simulations use the original (i.e. not the linearized) active currents in the connecting cable.
doi: https://doi.org/10.1371/journal.pcbi.1000493.g005