Abstract:Unfortunately, several errors occurred in Sect. 2.3.2 Statistical analysis, second paragraph.The corrected paragraph is given below.When considering a parameter X, the variability between the heartbeats of each measurement was evaluated by the intra-registration variability r h ; which can be written as follows: The inter-registration variability r m that evaluates the variability between the measurements of the volunteer can be written as:In this equation, X v,m is the parameter value of measurement m for vol… Show more
“…26 Despite being rarely used in clinical studies, this assumption was recently shown to be reliable in estimating real BFV using US investigation. 27 Briefly, luminal diameter was first assessed and then maximum blood flow velocity was recorded for several cardiac cycles using pulsed-wave Doppler, sampling the central volume of the blood vessel (centerline velocity). The time average of maximum velocity spectrum was then calculated and used to estimate BFV as previously described.…”
“…26 Despite being rarely used in clinical studies, this assumption was recently shown to be reliable in estimating real BFV using US investigation. 27 Briefly, luminal diameter was first assessed and then maximum blood flow velocity was recorded for several cardiac cycles using pulsed-wave Doppler, sampling the central volume of the blood vessel (centerline velocity). The time average of maximum velocity spectrum was then calculated and used to estimate BFV as previously described.…”
“…The blood flow measurement were performed in pulsed-Doppler mode. Blood flow was estimated from mean blood flow velocity and vessel diameter using the Poiseuille formulation [28].…”
“…Unfortunately, no general analytical solutions exist for pulsatile flow in curved and tapered tubes. Despite the fact that little is known about the estimation errors in blood volume flow induced by vessel curvature and tapering, Poiseuille or Womersley methods remain the standard for blood volume flow estimates based on velocity measurements [96].…”
The article has emerged from the exploration of currently available cardiac and vascular mathematical tools and their corresponding clinical application. The summarized analysis suggests that future efforts should be aimed at developing more accurate and patient-specific mathematical models integrating cardiac and vascular functions to enhance the knowledge of cardiovascular pathologies.
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