Christian Bick, Marc Goodfellow, Carlo R. Laing, Erik Andreas Martens
AbstractMany biological and neural systems can be seen as networks of
interacting periodic processes. Importantly, their functionality, i.e., whether
these networks can perform their function or not, depends on the emerging
collective dynamics of the network. Synchrony of oscillations is one of the most
prominent examples of such collective behavior and has been associated both with
function and d... hiện toàn bộ
AbstractCoarse-graining microscopic models of biological neural networks to
obtain mesoscopic models of neural activities is an essential step towards
multi-scale models of the brain. Here, we extend a recent theory for mesoscopic
population dynamics with static synapses to the case of dynamic synapses
exhibiting short-term plasticity (STP). The extended theory offers an
approximate mean-field dyn... hiện toàn bộ
AbstractThis is the first half of a two-part paper dealing with the geometry of
color perception. Here we analyze in detail the seminal 1974 work by H.L.
Resnikoff, who showed that there are only two possible geometric structures and
Riemannian metrics on the perceived color space $\mathcal{P} $ P compatible with
the set of Schrödinger’s axioms completed with the hypothesis of homogeneity. We
reca... hiện toàn bộ