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'''Numerical manipulation''' of Doppler parameters obtain during routine [[Echocardiography]] has been extensively utilized to non-invasively estimate intra-cardiac pressures, in many cases removing the need for invasive cardiac catheterization.<ref>{{cite journal |pmid=3366997 | volume=11 | issue=6 | title=Prediction of the severity of aortic stenosis by Doppler aortic valve area determination: prospective Doppler-catheterization correlation in 100 patients | year=1988 | journal=J. Am. Coll. Cardiol. | pages=1227–34 | doi=10.1016/0735-1097(88)90286-0| last1=Oh | first1=Jae K. | last2=Taliercio | first2=Charles P. | last3=Holmes | first3=David R. | last4=Reeder | first4=Guy S. | last5=Bailey | first5=Kent R. | last6=Seward | first6=James B. | last7=Tajik | first7=A.Jamil }}</ref>
Echocardiography uses ultrasound to create real-time anatomic images of the [[heart]] and its structures. [[Doppler echocardiography]] utilizes the Doppler principle to estimate intracardiac velocities. Via the modified [[Bernoulli's principle|Bernoulli equation]], velocity is routinely converted to pressure gradient for use in clinical cardiology decision making.<ref>http://www.wikiecho.org/wiki/Aortic_stenosis</ref>
A broad discipline of mathematical modeling of intracardiac velocity parameters for pulmonary circulation and aortic Doppler for [[aortic stenosis]] have been investigated. [[Diastolic heart failure|Diasatolic dysfunction]] algorithms use complex combinations of these numeric models to estimate intra-cardiac filling pressures.<ref>{{cite journal | last1 = Scalia | first1 = Gregory M. | last2 = Greenberg | first2 = Neil L. | last3 = McCarthy | first3 = Patrick M. | last4 = Thomas | first4 = James D. | last5 = Vandervoort | first5 = Pieter M. | year = 1997 | title = Non-Invasive Assessment of the Ventricular Relaxation Time Constant (?) in Humans by Doppler
==See also==
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