Phase-response curves of ion channel gating kinetics
Sign Up to like & getrecommendations! Published in 2018 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.5232
Abstract: Reduced models of single-neuron dynamics are widely used to characterize neuronal properties, encoding, and a cell’s contribution to network function. Low-dimensional phase oscillator models based on phaseresponse curves, in particular, permit to capture the essence… read more here.
Keywords: gating kinetics; ion channel; phase response; response curves ... See more keywords
Predicting non-stationary and stochastic activation of saddle-node bifurcation in non-smooth dynamical systems
Sign Up to like & getrecommendations! Published in 2018 at "Nonlinear Dynamics"
DOI: 10.1007/s11071-018-4189-y
Abstract: Saddle-node bifurcation can cause dynamical systems undergo large and sudden transitions in their response, which is very sensitive to stochastic and non-stationary influences that are unavoidable in practical applications. Therefore, it is essential to simultaneously… read more here.
Keywords: node bifurcation; non stationary; non smooth; dynamical systems ... See more keywords
Regularization of the Boundary-Saddle-Node Bifurcation
Sign Up to like & getrecommendations! Published in 2018 at "Advances in Mathematical Physics"
DOI: 10.1155/2018/5094878
Abstract: In this paper we treat a particular class of planar Filippov systems which consist of two smooth systems that are separated by a discontinuity boundary. In such systems one vector field undergoes a saddle-node bifurcation… read more here.
Keywords: node bifurcation; boundary saddle; regularization; bifurcation ... See more keywords