Deep Diffusion Kalman Filter Combining Large-Scale Neuronal Networks Simulation with Multimodal Neuroimaging Data

Wenyong Zhang and Wenlian Lu ()
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Wenyong Zhang: School of Mathematical Sciences, Fudan University, Shanghai 200433, China
Wenlian Lu: School of Mathematical Sciences, Fudan University, Shanghai 200433, China

Mathematics, 2023, vol. 11, issue 12, 1-25

Abstract: Using computers to numerically simulate large-scale neuronal networks has become a common method for studying the mechanism of the human brain, and neuroimaging has brought forth multimodal brain data. Determining how to fully consider these multimodal data in the process of brain modeling has become a crucial issue. Data assimilation is an efficient method for combining the dynamic system with the observation data, and many related algorithms have been developed. In this paper, we utilize data assimilation to perform brain state variables estimation, put forward a general form of a diffusion Kalman filter named the deep diffusion Kalman filter, and provide a specific algorithm that is combined with data assimilation. Then, we theoretically demonstrate the deep diffusion Kalman filter’s effectiveness and further validate it by using an experiment in the toy model. Finally, according to the resting state functional magnetic resonance imaging signals, we assimilate a cortex networks model with the resting state brain, where the correlation is as high as 98.42%.

Keywords: distributed Kalman filter; deep diffusion distributed Kalman filter; spiking neuronal network; large-scale brain model; resting-state brain activity (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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