Sentence examples for a sequence of microscopic from inspiring English sources
Thus, ( Y t n ) t ≥ 0 = ( Θ t n, t ) t ≥ 0, n ∈ N, denotes a sequence of microscopic PDMP neural field models of the type as defined in Sect.
Presently, the aim is not to derive moment equations, i.e., a deterministic set of equations that approximate the moments of the Markovian particle model, but rather processes (deterministic or stochastic) to which a sequence of microscopic models converges under suitable conditions in a probabilistic way.
We show that the Wilson Cowan equation can be obtained as the limit in uniform convergence on compacts in probability for a sequence of microscopic models when the number of neuron populations distributed in space and the number of neurons per population tend to infinity.
To this end, we first define a suitable sequence of microscopic models, which gives the connection between the defining objects of the Wilson Cowan equation (1.3) and the microscopic models discussed in Sect.
A sequence-of-tenses problem.
There we set up the sequence of microscopic models and state conditions for convergence.
In the following paragraphs, we discuss the connection of the defining components of this sequence of microscopic models to the components of the macroscopic limit.
Our microscopic observations revealed a sequence of ouabain-induced pathology in the cochlea that started with prior degeneration in SGNs and auditory nerve fibers 72 h following lowdose (50 μM) ouabain treatment, while most cochlear HCs were intact.
For experimental spatiotemporal datasets, spatial information is often recorded as a set of pixel coordinates measured directly from the microscopic images, whereas time is usually considered as a sequence of regular time frames.
There is a sequence of steps.
