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Jasinski et al. [8] presented a relatively detailed model in the Hodgkin-Huxley framework for pre-BötC neurons and showed that a synaptically coupled population of these neurons, with heterogeneous parameter values, can generate SB solutions (Fig. 1A), whereas a single model pre-BötC neuron without synaptic inputs cannot produce a sighing rhythm.
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Neural field equations are used to describe the spatio-temporal evolution of the activity in a network of synaptically coupled populations of neurons in the continuum limit.
Neural field equations were first introduced by Amari [1] and Wilson and Cowan [2, 3] and have since been used extensively to study the spatio-temporal dynamics of the activity in coupled populations of neurons.
The dynamic range of DI where stable bursting occurs is significantly larger for the coupled population than that of individual cells, suggesting a functional role of cellular heterogeneity in making biological rhythms more robust.
To overcome these limitations, an extension of the concept of a coupled population balance model is presented for application in the simulation and optimization of a spherical crystallization system.
The reduced system consists of three coupled population balance equations in which all three are structurally similar to a single one-dimensional population balance equation, where growth and nucleation only are considered.
Thus, tracking the abundance of syntrophically coupled populations should aid in the development and monitoring of sustainable bioremediation strategies.
We use a Master Equation formalism, together with a semi-analytic approach to the transfer function of AdEx neurons to describe the average dynamics of the coupled populations.
The case of two coupled populations was also explored through a similar approach invoking Poisson processes for the generation of secondary infection and Markovian transitions for the migration between patches.
We consider a coupled, heterogeneous population of relaxation oscillators used to model rhythmic oscillations in the pre-Bötzinger complex.
Garcia-Ojalvo et al. proposed a modular addition to the repressilator, with the aim of coupling a population of cells containing this network [ 1].
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