BP measurements using the proposed Merkfree sphygmomanometer has good agreement with commonly used MS and OS. Assuming that MS readings are the true readings of BP, in terms of percentage error, Merkfree readings have lower error compared to OS readings for both SBP and DBP. Merkfree readings also have a higher correlation with MS as compared to correlation obtained between OS and MS. Merkree SBP has lower agreement with OS SBP than MS SBP. Interestingly, this reverses in case of DBP, and Merkfree DBP has higher an agreement with OS SBP than MS SBP.
Merkfree shows comparable performance with respect to the gold standard MS during direct one-to-one comparison of pressure readings in technical validation using a T-connector joint. The Merkfree has a 0.9999 correlation factor with MS in one-to-one direct comparison in technical validation. The bland Altman’s analysis also reveals that bias is zero, which corresponds to the zero-measurement error, all data points lie within the limit of agreements and shows the good agreement between pressure readings of two devices. However, the same results were not reproduced during clinical trials, which can also be associated with the accumulation of various errors, such as hearing and concentration variation among individuals while measuring BP, white coat hypertension, and patient anxiety [19].
Bar graphs for SBP and DBP for both all three devices were plotted by taking a frequency interval of 5 (Fig. 7 (a, b)). A bar at x represents the number of readings lying between x-2.5 to x + 2.5, where x is the multiple of five. Three bars are bunched together at every multiple of 5 for a side-by-side comparison of distribution of readings from all three devices. All three devices show a broad normal distribution which is expected for a random population study like this. It is well known that MS suffers from rounding-off errors due to operator bias towards rounding the readings to the nearest multiple of 10 [20]. This specifically happens as the mercury sphygmomanometers scale has major calibration tick marks at multiples of 10. This can be clearly visualized by comparing at the histogram bar heights at multiples of 10 and multiples of 5 in Fig. 7(a) and Fig. 7(b). We can see that frequency of readings are in general higher at multiples of 10 than at multiples of 5. In case of Merkfree, we have a longer scale and calibration marks at multiples of 5. Hence, we see that the bias towards rounding off to nearest multiple of 10 is reduced and we have comparable heights of frequency bars even at multiples of 5. OS type doesn’t have rounding-off error at all because human in the loop is eliminated. Distribution of the yellow bars in Fig. 7(a) and Fig. 7(b) demonstrate this quite clearly.
To quantify the extent of the mismatch in the distribution with respect to the expected normal distribution, we created the theoretically expected distribution and calculated its KL divergence with respect to the expected distribution. We have SBP and DBP data for all three devices which are 6 variables in total. For each variable X, we found the mean and standard deviation. An ideal gaussian distribution was calculated for MS SBP (Fig. 7(c)) using just the mean and the standard deviation. This distribution was then sampled at multiples of 5 starting from 85 mmHg to 195 mmHg for SBP; and from 45 mmHg to 125 mmHg for DBP. These ranges cover all readings starting from lowest to the highest in all columns. KL Divergence was then calculated between this distribution and the actual distribution for all 6 variables. The results are listed in Table I. Here we can see that MS has highest KL divergence while OS has lowest indicated that MS have highest deviation from Normal distribution, primarily owing to rounding-off errors while OS has no rounding-off errors. Merkfree while maintaining better accuracy than OS, is also having lower rounding-off error compared to MS. This is apparent from the intermediate KL divergence values.
Table I
KL Divergence between ideal and actual distribution of readings for SBP and DBP of all three devices
Column Name
|
KL-Divergence Value
|
MS SBP
|
0.4088
|
MS DBP
|
0.4756
|
Merkfree SBP
|
0.1991
|
Merkfree DBP
|
0.2581
|
OS SBP
|
0.0848
|
OS DBP
|
0.0423
|
Most developed countries have already banned the MS, and most developing countries are in the process of doing so [21]. Merkfree is likely to be widely applicable and acceptable in these changed circumstances where MSs are discouraged. Digital BP measuring devices are independent of the operator, but their accuracy and repeatability have been questionable due to variability in proprietary software algorithms from company to company. As per the study conducted by us recently among Indian Clinicians [13], it was found that digital BP measuring devices are considered inferior in accuracy and robustness compared to auscultatory BP monitors by most respondents. Owing to auscultatory method and longer measurement scale, Merkfree is expected to have limited use in home monitoring of BP. However, it is expected to have wide acceptance for clinical measurement of BP.