ABSTRACT

The advance of BMIs was largely motivated by investigations of velocity encoding in single neurons during stereotypical reaching experiments. However, BMIs are designed to decode neural activity from an ensemble of neurons and direct general

Introduction .............................................................................................................. 57 Neuronal Encoding and Tuning Curves .................................................................. 58

Velocity Tuning Curves ................................................................................ 59 Spatiotemporal Tuning Curves .....................................................................60 Tuning to Spatiotemporal Patterns of Velocity ............................................. 63

Neuronal Modulations .............................................................................................64 Movement Prediction ...............................................................................................69 Ensemble Analysis ................................................................................................... 71

Principal Neurons ......................................................................................... 71 Ensemble Permanence .................................................................................. 73

Linear Regression .................................................................................................... 74 Principal Component Analysis (PCA) .......................................................... 74 Least-Square Solution ................................................................................... 75 Regularization Methods ............................................................................... 75

Conclusions .............................................................................................................. 76 Appendix-Derivation of the Variance Relationship ..............................................77