On the weak solutions of the forward problem in EEG
The process underlying the generation of the EEG signals can be described as a set of current sources within the brain. The potential distribution produced by these sources can be measured on the scalp and inside the brain by means of an EEG recorder. There is a well-known mathematical model that re...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2003-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/S1110757X03305030 |
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| _version_ | 1832550981950242816 |
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| author | M. I. Troparevsky D. Rubio |
| author_facet | M. I. Troparevsky D. Rubio |
| author_sort | M. I. Troparevsky |
| collection | DOAJ |
| description | The process underlying the generation of the EEG signals can be
described as a set of current sources within the brain. The
potential distribution produced by these sources can be measured
on the scalp and inside the brain by means of an EEG recorder.
There is a well-known mathematical model that relates the
electric potential in the head with the intracerebral sources. In
this work, we study and prove some properties of the solutions of
the model for known sources. In particular, we study the error in
the potential, introduced by considering an approximated shape of
the head. |
| format | Article |
| id | doaj-art-799334d3a95d49ddba71b3d92315572e |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2003-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-799334d3a95d49ddba71b3d92315572e2025-02-03T06:05:19ZengWileyJournal of Applied Mathematics1110-757X1687-00422003-01-0120031264765610.1155/S1110757X03305030On the weak solutions of the forward problem in EEGM. I. Troparevsky0D. Rubio1Departamento de Matemática, Facultad de Ingeniería, Universidad de Buenos Aires, Paseo Colon 850, Buenos Aires, ArgentinaEscuela de Ciencia y Tecnología, Universidad Nacional de General San Martín, San Lorenzo 3391, Pcia. Buenos Aires, ArgentinaThe process underlying the generation of the EEG signals can be described as a set of current sources within the brain. The potential distribution produced by these sources can be measured on the scalp and inside the brain by means of an EEG recorder. There is a well-known mathematical model that relates the electric potential in the head with the intracerebral sources. In this work, we study and prove some properties of the solutions of the model for known sources. In particular, we study the error in the potential, introduced by considering an approximated shape of the head.http://dx.doi.org/10.1155/S1110757X03305030 |
| spellingShingle | M. I. Troparevsky D. Rubio On the weak solutions of the forward problem in EEG Journal of Applied Mathematics |
| title | On the weak solutions of the forward problem in EEG |
| title_full | On the weak solutions of the forward problem in EEG |
| title_fullStr | On the weak solutions of the forward problem in EEG |
| title_full_unstemmed | On the weak solutions of the forward problem in EEG |
| title_short | On the weak solutions of the forward problem in EEG |
| title_sort | on the weak solutions of the forward problem in eeg |
| url | http://dx.doi.org/10.1155/S1110757X03305030 |
| work_keys_str_mv | AT mitroparevsky ontheweaksolutionsoftheforwardproblemineeg AT drubio ontheweaksolutionsoftheforwardproblemineeg |