Neural receptive fields are plastic: with experience, neurons in many brain
regions change their spiking responses to relevant stimuli. Analysis of re
ceptive field plasticity from experimental measurements is crucial for unde
rstanding how neural systems adapt their representations of relevant biolog
ical information. Current analysis methods using histogram estimates of spi
ke rate functions in nonoverlapping temporal windows do not track the evolu
tion of receptive field plasticity on a fine time scale. Adaptive signal pr
ocessing is an established engineering paradigm for estimating time-varying
system parameters from experimental measurements. We present an adaptive f
ilter algorithm for tracking neural receptive field plasticity based on poi
nt process models of spike train activity. We derive an instantaneous steep
est descent algorithm by using as the criterion function the instantaneous
log likelihood of a point process spike train model. We apply the point pro
cess adaptive filter algorithm in a study of spatial (place) receptive fiel
d properties of simulated and actual spike train data from rat CA1 hippocam
pal neurons. A stability analysis of the algorithm is sketched in the Appen
dix. The adaptive algorithm can update the place field parameter estimates
on a millisecond time scale. It reliably tracked the migration, changes in
scale, and changes in maximum firing rate characteristic of hippocampal pla
ce fields in a rat running on a linear track. Point process adaptive filter
ing offers an analytic method for studying the dynamics of neural receptive
fields.