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clinmed/2001060002v1 (August 2, 2001)
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Mathematical simulation of hemodynamical processes and medical technologies

Nadiya Branicka, Ulyana Lushchyk, and Victor Novyckyy

Vascular pathologies constitute a significant part of human’s diseases and their rate tends to increase. Numerous investigations of brain blood flow in a normal condition and in a pathological one has created a new branch of modern medicine - angioneurology. It combines the information on brain angioarchitecture and on blood supply in a normal condition and in a pathological one. Investigations of a disease’s development constitute an important problem of a modern medicine. Cerebrum blood supply is regulated by arterial inflow and venous outflow, but, unfortunately, in the literature available arterial and venous beds are considered separately. This causes an one-sided interpretation of atherosclerotical and discirculatory encefalopathies. As arterial inflow and venous outflow are interrelated, it seems to be expedient to perform a complex estimation of arteriovenous interactions, prove a correlation dependence connection between the beds and find a dependence in a form of mathematical function. The results will be observed clearly in the graphs. There were 139 patients aged from 2 up to 70 examined in the "Istyna" Scientific Medical Ultrasound Center by means of a Logidop 2 apparatus manufactured by Kranzbuhler, Germany using a technique of cerebral arteries and veins ultrasound location (invented and patented by Ulyana Lushchyk, State Patent of Ukraine N10262 of 19/07/1995). A clinical interpretation of the results obtained was performed. With the help of this technique and ultrasound Dopplerography the blood flow in major head and cervical arteries was investigated. While performing a visual graphic analysis we paid attention to the changes of carotid artery (CA), internal jugular vein (IJV) and supratroclear artery’s (STA) hemodynamical parameters. Generally accepted blood flow parameters: FS - maximal systolic frequency and FD - minimal diastolic frequency were measured. The correlation between different combinations of parameters in the vessels mentioned above was investigated. Correlation analysis shows a significant (r=0.95) interdependence between different combination of hemodynamical parameters. Keywords: arteriovenous interactions, hemodynamical parameters, correlation dependence.