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Data assimilation transfers information from an observed system to a physically based model system with state variables x(t). The observations are typically noisy, the model has errors, and the initial state x(t 0) is uncertain: the data assimilation is statistical. One can ask about expected values of functions G(X) on the path X = {x(t 0),. . ., x(t m)}… (More)

- Jingxin Ye, Paul J Rozdeba, Uriel I Morone, Arij Daou, Henry D I Abarbanel
- Physical review. E, Statistical, nonlinear, and…
- 2014

We investigate the dynamics of a conductance-based neuron model coupled to a model of intracellular calcium uptake and release by the endoplasmic reticulum. The intracellular calcium dynamics occur on a time scale that is orders of magnitude slower than voltage spiking behavior. Coupling these mechanisms sets the stage for the appearance of chaotic… (More)

- Paul Rozdeba
- 2013

It has been posited that biological neural networks, such as a brain, may naturally exist in critical states. We propose two mechanisms for signal transduction in two such networks as encoding strategies which are optimized by criticality. First, we examine compressive sensing in a 2-dimensional Ising model at or near its critical temperature. Secondly, we… (More)

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