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Our aim is to bring the elusive goal of inner psychophysics for large neuronal populations one step closer, by introducing and testing a general assumption about how these populations process information.
Together, these PN populations process information on dual olfactory pathways (Liang et al., 2013; Wang et al., 2014), as do processing mechanisms in other sensory modalities (Nassi and Callaway, 2009), and most likely accomplish different olfactory behaviors.
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In particular, organogenesis frequently requires the movement and rearrangement of physically associated cell populations, processes that need to be accurately choreographed over both time and space.
Here we will explicitly derive the OU process from the population process given in Sect.
The underlying description of Schmandt and Galán's model [14] is given by the population process described in Sect.
The suggested technique is applied for the modeling of the crude oil blending process and the beetle population process.
By approximating the population process with a closely related Ornstein Uhlenbeck process we effectively linearized the system about a fixed point given by the mean field behavior.
To set the stage before moving to the OU process framework, we briefly describe a population process on a graph of the type considered by Schmandt and Galán.
The OU process connects to the population process via a tau-leaping approximation, as described in Appendix B. The tau-leaping method involves two key assumptions.
This paper examines the asymptotic behaviour of the stochastic extension of a fundamentally important population process, namely the delay Lotka-Volterra model.
For example, in the full population process one can decompose the fluxes in the model into a sum of a mean component and a mean zero fluctuating component.
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