This paper reviews several inverse problems related to biological ion channels and polymer
nanopores. Different problems arise at different scales and thus lead to different inversion …

Synchronous and asynchronous dynamics in all-to-all coupled networks of identical,
excitatory, current-based, integrate-and-fire (I&F) neurons with delta-impulse coupling …

Perfect spike-to-spike synchrony is studied in all-to-all coupled networks of identical
excitatory, current-based, integrate-and-fire neurons with delta-impulse coupling currents …

Information processing in the brain crucially depends on the topology of the neuronal
connections. We investigate how the topology influences the response of a population of …

Studies of structural connectivity at the synaptic level show that in synaptic connections of
the cerebral cortex, the excitatory postsynaptic potential (EPSP) in most synapses exhibits …

Randomly connected networks of neurons driven by Poisson inputs are often assumed to
produce “homogeneous” dynamics, characterized by largely independent firing and …

The voltage-conductance kinetic equation for an ensemble of neurons has been studied by
many scientists and mathematicians, while its rigorous analysis is still at a premature stage …

Early olfactory pathway responses to the presentation of an odor exhibit remarkably similar
dynamical behavior across phyla from insects to mammals, and frequently involve …

Can we understand the dynamic behaviour of leaky integrate-and-fire (LIF) networks, which
present the major, and possibly the only, analytically tractable tool we employ in …

The center-surround receptive field structure, ubiquitous in the visual system, is
hypothesized to be evolutionarily advantageous in image processing tasks. We address the …