3 research outputs found
Fast Approximation of EEG Forward Problem and Application to Tissue Conductivity Estimation
Bioelectric source analysis in the human brain from scalp
electroencephalography (EEG) signals is sensitive to the conductivity of the
different head tissues. Conductivity values are subject dependent, so
non-invasive methods for conductivity estimation are necessary to fine tune the
EEG models. To do so, the EEG forward problem solution (so-called lead field
matrix) must be computed for a large number of conductivity configurations.
Computing one lead field requires a matrix inversion which is computationally
intensive for realistic head models. Thus, the required time for computing a
large number of lead fields can become impractical. In this work, we propose to
approximate the lead field matrix for a set of conductivity configurations,
using the exact solution only for a small set of basis points in the
conductivity space. Our approach accelerates the computing time, while
controlling the approximation error. Our method is tested for brain and skull
conductivity estimation , with simulated and measured EEG data, corresponding
to evoked somato-sensory potentials. This test demonstrates that the used
approximation does not introduce any bias and runs significantly faster than if
exact lead field were to be computed.Comment: Copyright (c) 2019 IEEE. Personal use of this material is permitted.
However, permission to use this material for any other purposes must be
obtained from the IEEE by sending a request to [email protected]
Fast Approximation of EEG Forward Problem and Application to Tissue Conductivity Estimation
Bioelectric source analysis in the human brain from scalp electroencephalography (EEG) signals is sensitive to the conductivity of the different head tissues. Conductivity values are subject dependent, so non-invasive methods for conductivity estimation are necessary to fine tune the EEG models. To do so, the EEG forward problem solution (so-called lead field matrix) must be computed for a large number of conductivity configurations. Computing one lead field requires a matrix inversion which is computationally intensive for realistic head models. Thus, the required time for computing a large number of lead fields can become impractical. In this work, we propose to approximate the lead field matrix for a set of conductivity configurations, using the exact solution only for a small set of basis points in the conductivity space. Our approach accelerates the computing time, while controlling the approximation error. Our method is tested for brain and skull conductivity estimation , with simulated and measured EEG data, corresponding to evoked somato-sensory potentials. This test demonstrates that the used approximation does not introduce any bias and runs significantly faster than if exact lead field were to be computed