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State‐space models for optical imaging
Author(s) -
Myers Kary L.,
Brockwell Anthony E.,
Eddy William F.
Publication year - 2007
Publication title -
statistics in medicine
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.996
H-Index - 183
eISSN - 1097-0258
pISSN - 0277-6715
DOI - 10.1002/sim.2933
Subject(s) - computer science , kalman filter , context (archaeology) , heartbeat , artificial intelligence , signal (programming language) , pattern recognition (psychology) , paleontology , computer security , biology , programming language
Abstract Measurement of stimulus‐induced changes in activity in the brain is critical to the advancement of neuroscience. Scientists use a range of methods, including electrode implantation, surface (scalp) electrode placement, and optical imaging of intrinsic signals, to gather data capturing underlying signals of interest in the brain. These data are usually corrupted by artifacts, complicating interpretation of the signal; in the context of optical imaging, two primary sources of corruption are the heartbeat and respiration cycles. We introduce a new linear state‐space framework that uses the Kalman filter to remove these artifacts from optical imaging data. The method relies on a likelihood‐based analysis under the specification of a formal statistical model, and allows for corrections to the signal based on auxiliary measurements of quantities closely related to the sources of contamination, such as physiological processes. Furthermore, the likelihood‐based modeling framework allows us to perform both goodness‐of‐fit testing and formal hypothesis testing on parameters of interest. Working with data collected by our collaborators, we demonstrate the method of data collection in an optical imaging study of a cat's brain. Copyright © 2007 John Wiley & Sons, Ltd.