Hi this is my first post on this forum. But since I find this subject interesting I can’t resist replying.
Simon I read your paper and found it informative, if I read it correctly the biggest error is with small tidal volumes where the difference with measuring in the mouthpiece and at the end of the exhalation hose is about 1 kPa (95% CI 0,9-1,18) and with the larger tidal volumes the error is smaller 0,2 kPa (95% CI 0,19-0,23).
In the newly released document FAULT STUDY: CO2 BYPASS IN REBREATHER MOUTHPIECES Deep life does disclose a method for estimating what they call Peak end of exhale CO2 which I am quoting below.
“The Deep Life CO2 monitor computes a peak end of exhale CO2 from:
1. Direct measurement of the Volume Weighted Mean Expired CO2 (VWAE CO2) at the
scrubber inlet, minute average O2 flow and Respiratory Rate (RR)
2. Determination of RMV from N * surface minute volume of oxygen metabolised + 2,
where at the surface, N is 26.6 on the surface.
3. Calculation of tidal volume, as Tidal volume = RMV / RR
4. Conversion of the mean CO2 to peak exhaled CO2 by a linear transform correcting
for dead space using Tidal Volume. ”
As for the first point, I do not know the exact flow path but if one is to directly measure volume weighted mean CO2 one needs substantial mixing and I have a hard time seeing how that could be done in a breath by breath fashion.
The second point of determining the RMV from the oxygen consumption. As my professor use to say, all things physiological vary, the reference Deep life is giving is referring to a medium work rate in air at surface. If we look at what the work physiologist Åstrand had to say the spread is much larger and especially with low or high work rates. Looking at divers, they are exposed to a completely different environment and that does effect the breathing tremendously. It is not only the obvious work of breathing but also the hyperoxia and that many divers change their breathing pattern by just immersing in water, Morrisson and Reimers in Bennett and Elliott’s 3ed suggest that the spread is 15-30 liters of ventilation to every liter of oxygen consumed, but they also mention that observations as low as 10 has been recorded.
Continuing to number 3, if the diver is breathing with a ventilation equivalent of 15, with one liter per minute of oxygen consumption and with 20 breaths per minute respiratory rate. Then the calculated tidal volume would be 1.43 L and the real would be 0.75 L, quit a substantial difference.
Number 4 the linear transformation is to be conducted as cited below,
“If Tidal volume > 300 Then
End of exhale CO2 = Mean_CO2 * Tidal volume / (Tidal volume – 0.230) * √2 “
I do not know if this algorithm holds true, I have never seen it before and if it does hold it would be a slight revolution in allowing us to place the CO2 sensors away from the mouthpiece. But I have some concerns not only to the math itself but also that the constant 0,230 refers to the volume of the dead space where the mouthpiece is measured to 80 ml and the human is estimated to 150 ml. While this is the typical textbook anatomical dead space, in real life this of course varies, but also that it totally ignores the physiological dead space. I am not aware of any studies of ventilation/perfusion inequalities in diving but I suspect that there could be inequalities. Especially if one is varying the hydrostatic load from say negative to positive as could be the case with varying the swimming position.
Going back to the paper in DHM and this is obviously a to small study to draw any large conclusions and the effect of pressure would be interesting to see, but with tidal volumes from 750 ml the difference is 0.3 kPa (0.28-0.34) and maybe that is sufficiently accurate for this application. I ,and I am guessing here, think that the risk of tidal volumes below 750 ml, when the mouthpiece dead space is 80 ml, is low and that the other measured variables respiratory rate and VO2 (not quite sure how or if VO2 is measured) could be used to catch these dangerous situation rather than calculating in accordance with this formula.
Maybe it is better with the devil you know, and just go with the measured peak CO2 values.
Oskar