Title
Nonlinear modeling of neural population dynamics for hippocampal prostheses.
Abstract
Developing a neural prosthesis for the damaged hippocampus requires restoring the transformation of population neural activities performed by the hippocampal circuitry. To bypass a damaged region, output spike trains need to be predicted from the input spike trains and then reinstated through stimulation. We formulate a multiple-input, multiple-output (MIMO) nonlinear dynamic model for the input–output transformation of spike trains. In this approach, a MIMO model comprises a series of physiologically-plausible multiple-input, single-output (MISO) neuron models that consist of five components each: (1) feedforward Volterra kernels transforming the input spike trains into the synaptic potential, (2) a feedback kernel transforming the output spikes into the spike-triggered after-potential, (3) a noise term capturing the system uncertainty, (4) an adder generating the pre-threshold potential, and (5) a threshold function generating output spikes. It is shown that this model is equivalent to a generalized linear model with a probit link function. To reduce model complexity and avoid overfitting, statistical model selection and cross-validation methods are employed to choose the significant inputs and interactions between inputs. The model is applied successfully to the hippocampal CA3–CA1 population dynamics. Such a model can serve as a computational basis for the development of hippocampal prostheses.
Year
DOI
Venue
2009
10.1016/j.neunet.2009.05.004
Neural Networks
Keywords
Field
DocType
Hippocampus,Spike,Spatio-temporal pattern,Volterra kernel,Feedback,Multiple-input multiple-output system
Kernel (linear algebra),Population,Linear model,Control theory,Input/output,Statistical model,Overfitting,Artificial neural network,Mathematics,Feed forward
Journal
Volume
Issue
ISSN
22
9
0893-6080
Citations 
PageRank 
References 
11
0.84
10
Authors
6
Name
Order
Citations
PageRank
Dong Song120234.25
Rosa H M Chan218222.79
vasilis z marmarelis321929.17
Robert E Hampson410512.12
Sam A Deadwyler59810.89
theodore w berger638087.26