Cardiac resonant oscillations in terms of finite-dimensional group representation in atrial parasystole.
In order to understand the variation of the atrial parasystolic cycle lengths and mutual interactions of sinus node and atrial parasystolic pacemakers, a representation theory for finite groups of invertible linear transformation on a vector space is considered. A quantitative description of manifest atrial parasystolic cycles can be provided by the mapping in the group multiplication with the use of numerical factors of 2, 4 square root of 2 pi, 2/ 4 square root of 2 pi and 2 4 square root of 2 pi. These represent operators of a linear transformation in matrix multiplication of the similarity transformation representing an isomorphism.
Izumi
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K
Mouridai Clinic, Atsugi, Kanagawa, Japan.
Izumi
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S
D000368:Aged; D000369:Aged, 80 and over; D016275:Atrial Function; D004562:Electrocardiography; D005260:Female; D006801:Humans; D008297:Male; D017574:Parasystole / Q000503:physiopathology*