this is for holding javascript data
Alun Hughes edited results_table.tex
over 3 years ago
Commit id: 78f778117fd54555c42d44185f4358d60d4672fd
deletions | additions
diff --git a/results_table.tex b/results_table.tex
index e9cc390..fa0260a 100644
--- a/results_table.tex
+++ b/results_table.tex
...
\[
\frac{\sum dP^2}{\sum dU^2} = (\rho c)^2 \frac{ \sum (dP_+^2 +2dP_+dP_- +dP_-)^2}{\sum (dP_-^2 - 2dP_+dP_- +dP_-)^2} = (\rho c)^2 \qquad \]
if
\qquad \sum dP_+dP_- = 0
where the sums are taken over an integral number of cardiac periods. The last condition is equivalent to requiring that the forward and backward changes in pressure are not correlated over the cardiac period. In the coronary arteries this assumption is difficult to defend since both the forward and backward waves are generated by the contraction of the myocardium and so some correlation of the two might be expected. We therefore look for an alternative method for estimating the local wave speed from the simultaneously measured pressure and velocity.