---
res:
  bibo_abstract:
  - Whether or not the neuron emits a spike in response to stimulation by an excitatory
    current pulse is determined by a strength-duration curve (SDC) for the pulse parameters.
    The SDC is a dependence of the minimal pulse amplitude required to elicit the
    spiking response on either the pulse duration or its decay time. Excitatory neurons
    affect the others through pulses of excitatory postsynaptic current. A simple
    yet plausible approximation for the time course of such a pulse is the alpha function,
    with linear rise at the start and exponential decay at the end. However, an exact
    analytical SDC for this case is hitherto not known, even for the leaky integrate-and-fire
    (LIF) neuron, the simplest spiking neuron model used in practice. We have obtained
    general SDC equations for the LIF neuron. Using the Lambert W function — a widely-implemented
    special function, we have found the exact analytical SDC for the spiking response
    of the LIF neuron stimulated by an excitatory current pulse in the form of the
    alpha function. To compare results in a unified way, we have also derived the
    analytical SDCs for (i) rectangular pulse, (ii) ascending ramp pulse, and (iii)
    instantly rising and exponentially decaying pulse. In the limit of no leakage,
    we show that the SDC is reduced to the classical hyperbola for all considered
    cases.@eng
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Alexander
      foaf_name: Paraskevov, Alexander
      foaf_surname: Paraskevov
      foaf_workInfoHomepage: http://www.librecat.org/personId=d05e3c56-9262-11ed-9231-be692464e5ac
  bibo_doi: 10.1016/j.rinam.2025.100548
  bibo_volume: 25
  dct_date: 2025^xs_gYear
  dct_isPartOf:
  - http://id.crossref.org/issn/2590-0374
  dct_language: eng
  dct_publisher: Elsevier@
  dct_title: Analytical strength-duration curve for the spiking response of the LIF
    neuron to an alpha-function-shaped excitatory current pulse@
...