Neural Comput - Local linear approximation of the Jacobian matrix better captures phase resetting of neural limit cycle oscillators.

Tópicos

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Resumo

One effect of any external perturbations, such as presynaptic inputs, received by limit cycle oscillators when they are part of larger neural networks is a transient change in their firing rate, or phase resetting. A brief external perturbation moves the figurative point outside the limit cycle, a geometric perturbation that we mapped into a transient change in the firing rate, or a temporal phase resetting. In order to gain a better qualitative understanding of the link between the geometry of the limit cycle and the phase resetting curve (PRC), we used a moving reference frame with one axis tangent and the others normal to the limit cycle. We found that the stability coefficients associated with the unperturbed limit cycle provided good quantitative predictions of both the tangent and the normal geometric displacements induced by external perturbations. A geometric-to-temporal mapping allowed us to correctly predict the PRC while preserving the intuitive nature of this geometric approach.

Resumo Limpo

one effect extern perturb presynapt input receiv limit cycl oscil part larger neural network transient chang fire rate phase reset brief extern perturb move figur point outsid limit cycl geometr perturb map transient chang fire rate tempor phase reset order gain better qualit understand link geometri limit cycl phase reset curv prc use move refer frame one axi tangent other normal limit cycl found stabil coeffici associ unperturb limit cycl provid good quantit predict tangent normal geometr displac induc extern perturb geometrictotempor map allow us correct predict prc preserv intuit natur geometr approach

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