A computer model for Atrio-Ventricular blocks
| Autor: | Moshé Zloof, Joseph Abbott, Reinhardt M. Rosenberg |
|---|---|
| Rok vydání: | 1973 |
| Předmět: |
Statistics and Probability
Combinatorics General Immunology and Microbiology Applied Mathematics Modeling and Simulation Beat (acoustics) Cardiac activity General Medicine Wenckebach phenomenon General Agricultural and Biological Sciences General Biochemistry Genetics and Molecular Biology Third degree block Mathematics |
| Zdroj: | Mathematical Biosciences. 18:87-117 |
| ISSN: | 0025-5564 |
| DOI: | 10.1016/0025-5564(73)90022-9 |
| Popis: | A mathematical model of the A-V node and of the His bundle has been incorporated into a model of electrical cardiac activity to devise a mechanism for A-V block. A coefficient of conduction efficiency η has been defined whose magnitude can vary from 1-0. Seven theorems are demonstrated which may be summarized as follows: there exist three critical values of η ordered as 1 > η 1 > η 2 > η 3 > 0 such that a first degree block occurs when 1 > η ⩾ η 1 , Wenckebach cycles when η 1 > η ⩾ η 2 , n :1 block when η 2 > η ⩾ η 3 , third degree block when η 3 > η ⩾ 0. A least upper bound is given for the number of consecutive ventricular beats in the Wenckebach phenomenon. Wenckebach cycles are shown to have P-R growth at a decreasing rate and ventricular beat acceleration as the dropped beat is approached, and where n :1 block is interpersed with ( n + 1):1 block, the P-R interval is shorter after n + 1, than after n dropped ventricular beats. Finally, when partial block occurs in the His bundle, a Mobitz II block results. All this corresponds to clinical experience. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|