Artículos de revistas
Planteamiento operacional y análisis del problema inverso electroencefalográfico
Institución
Resumen
TÉCNICAS DE LA TEORÍA DE POTENCIAL HAN SIDO UTILIZADAS PARA ANALIZAR LAS PROPIEDADES DEL OPERADOR QUE A LAS FUENTES DE CORRIENTE ASOCIADAS A LA ACTIVIDAD ELÉCTRICA DE LAS NEURONAS EN LA CORTEZA CEREBRAL, LE HACE CORRESPONDER LA MEDICIÓN DEL POTENCIAL ELÉCTRICO GENERADO POR DICHAS FUENTES SOBRE EL CUERO CABELLUDO. UN MODELO DE MEDIO CONDUCTOR QUE TOMA EN CONSIDERACIÓN LAS CIRCONVOLUCIONES DEL CEREBRO HA SIDO UTILIZADA PARA PROBAR LA UNICIDAD DE SOLUCIÓN DEL PROBLEMA INVERSO DE RECUPERACIÓN DE LAS FUENTES DE ACTIVIDAD CORTICAL A PARTIR DE LAS MEDICIONES ELECTROENCEFALOGRÁFICAS. ESTE RESULTADO DE UNICIDAD ES FUNDAMENTAL YA QUE NOS PERMITE APLICAR LO MÉTODOS DE REGULARIZACIÓN. ES PRESENTADO OTRO PLANTEAMIENTO DEL PROBLEMA QUE NOS PERMITE CONSTRUIR SOLUCIONES NUMÉRICAS DEL PROBLEMA INVERSO USANDO LOS DATOS DE ENTRADA DISCRETOS. LA ESTABILIDAD DE LOS ALGORITMOS ES ILUSTRADA EN ALGUNOS EJEMPLOS NUMÉRICOS.AbstractTECHNIQUES OF THE POTANTIAL THEORY HAVE BEEN USED TO ANALIZE THA PROPERTIES OF THE OPERATOR WHERE THA SOURCES OF CURRENT PRODUCED BY ELECTRIC ACTIVITY IN THE CEREBRAL CORTEX IS ASSOCIETS WITH THE MEASUREMENTS ON THE SCALP OF THE ELECTRIC POTANTIAL GENERATED BY THESE SOURCES. A MEDIUM CONDUCTOR MODEL WHICH TAKE IN ACCOUNT THE CIRCOMVOLUTIOM OF THE BRAIN HAS BEEN USED TO PROVE THE UNIQUENESS OF SOLUTION OF THE INVERSE PROBLEM OF RECUPERATION OF ACTIVITY CORTICAL SOURCES FROM ELECTROENCEPHALOGRAPHIC MEASUREMENT ON THE SCALP. THIS RESULT OF UNIQUENESS IS VERY IMPORTANT BECAUSE WE CAN TO USE ALGORITHMS OF REGULARIZATION. AN OTHER STATE THE PROBLEM IS PRESENTED TO ELABORATE NUMERICAL SOLUTIONS OF THE INVERSE PROBLEM USING A SET OF DISCRTE MEASUREMENT. THE STABILITY OF ALGORITHMS IS SHOWED IN SOME EXAMPLES. TECHNIQUES OF THE POTANTIAL THEORY HAVE BEEN USED TO ANALIZE THA PROPERTIES OF THE OPERATOR WHERE THA SOURCES OF CURRENT PRODUCED BY ELECTRIC ACTIVITY IN THE CEREBRAL CORTEX IS ASSOCIETS WITH THE MEASUREMENTS ON THE SCALP OF THE ELECTRIC POTANTIAL GENERATED BY THESE SOURCES. A MEDIUM CONDUCTOR MODEL WHICH TAKE IN ACCOUNT THE CIRCOMVOLUTIOM OF THE BRAIN HAS BEEN USED TO PROVE THE UNIQUENESS OF SOLUTION OF THE INVERSE PROBLEM OF RECUPERATION OF ACTIVITY CORTICAL SOURCES FROM ELECTROENCEPHALOGRAPHIC MEASUREMENT ON THE SCALP. THIS RESULT OF UNIQUENESS IS VERY IMPORTANT BECAUSE WE CAN TO USE ALGORITHMS OF REGULARIZATION. AN OTHER STATE THE PROBLEM IS PRESENTED TO ELABORATE NUMERICAL SOLUTIONS OF THE INVERSE PROBLEM USING A SET OF DISCRTE MEASUREMENT. THE STABILITY OF ALGORITHMS IS SHOWED IN SOME EXAMPLES.