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Abstract
A basic task in understanding the neural mechanism of learning and
adaptation is to detect and characterize neural interactions and
their changes in response to new experiences. Recent experimental
work has indicated that neural interactions in the primary motor
cortex of the monkey brain tend to change their preferred
directions during adaptation to an external force field. To
quantify such changes, it is necessary to develop computational
methodology for data analysis. Given that typical experimental
data consist of spike trains recorded from individual neurons,
probing the strength of neural interactions and their changes is
extremely challenging. We recently reported in a brief
communication [Zhu et al., Neural Computations 15 ,
2359 (2003)] a general procedure to detect and quantify the causal
interactions among neurons, which is based on the method of
directed transfer function derived from a class of multivariate,
linear stochastic models. The procedure was applied to spike
trains from neurons in the primary motor cortex of the monkey
brain during adaptation, where monkeys were trained to learn a new
skill by moving their arms to reach a target under external
perturbations. Our computation and analysis indicated that the
adaptation tends to alter the connection topology of the
underlying neural network, yet the average interaction strength in
the network is approximately conserved before and after the
adaptation. The present paper gives a detailed account of this
procedure and its applicability to spike-train data in terms of
the hypotheses, theory, computational methods, control test, and
extensive analysis of experimental data.
Mathematics Subject Classification: 62H20, 62P10.
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