1/ Not surprising & consistent w/ comments I made in a recent article by @RobertRoyBritt. Exposure time is NOT the only factor that determines risk, whether in close contact or indoor far field. We should focus on inhaled deposited dose (IDD) & not just on distance or time.
2/ IDD = Concentration (C) (#/L) x Respiratory minute volume (B) (L/min) x Time of exposure (t) (min) x Fraction deposited in respiratory system (f) (-). C & f are taken for specific particle sizes and the resultant size-specific IDD values summed (integrated) for total IDD.
3/ Concentration (C) depends on a number of factors, including distance, emission mode and strength, air flow conditions (e.g., cross-flow, mixing/TKE) & whether the receptor is wearing a mask (as concentration is in breathing zone inside mask), quality of mask, etc.
4/ C can vary widely just by the nature of emissions from the infector (up to two orders of magnitude difference in particles emitted per min), even larger differences in total viral load (#/mL), and order of magnitude differences in fraction of viruses that are infectious.
5/ Just the nature of emitter leads to many orders of magnitude differences in C (if C is based on virions), & when superimposed on other factors noted above even GR8er variation. It is entirely logical that at high C exposure times << 15 min lead to elevated infection risk.
6/ Respiratory minute volume (B) depends on the individual and their level of activity. Note that this can vary over an order of magnitude for someone at rest versus someone doing strenuous work or aerobic activity. I address here for gyms: radio.com/kcbsradio/podc…
7/ Time (t) is time of exposure (min). In many ways I would rather see B and t be combined into inhalation volume per exposure event so that others would acknowledge the need to account for B and not stick to simple and overly simplified individual factors like "time".
8/ The fraction of particles that deposit in the respiratory system (f) (and where particles deposit in system) depends on particle size, mode of breathing (nose vs. mouth), and (to some extent) B (see above). I have tweeted about this previously.
9/ I fully understand the desire to provide the public with simple guidelines as anything more can be confusing to many & thus counterproductive. But we need to UNDERSCORE that 6 ft and 15 minutes are GROSS generalizations and do NOT eliminate risk.
10/ Greater distance lowers risk. Less time lowers risk. Wearing masks lowers risk. Being outdoors lowers risk. Not breathing heavily near others lowers risk, & all other strategies that many of us have been stating ad nauseam for months on end lower risk. None eliminates risk.
11/ I've added more on inhaled deposited dose and the factors described above on my blog at corsiaq.com. IMHO, we need to become one with this concept. The greater the dose the greater the risk. Let's focus on lowering dose (& many steps for doing so) to lower risk.
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1/ Why universal mask wearing in buildings is important
First, the persons infected are unknown. So, if everyone wears a mask the infectors are also wearing masks. Second, everyone else (receptors) get an extra layer of protection for also wearing a mask.
2/ The % reduction in volume (or mass) of aerosol particles inhaled by a receptor is given by the following equation: Z = A + 0.01 x B x (100 – A)
3/ Where Z = combined % reduction in inhaled particle volume by receptors, A = % reduction in emissions by virtue of infector(s) wearing masks, B = % reduction in inhaled volume by virtue of receptors wearing masks.
Of importance is also if someone in close contact is breathing heavily, e.g., in an aerobic workout class, etc. In that case the respiratory minute volume can be 10 to 15 x what it is at rest AND the emitter might be emitting much more. Does that mean 1 minute or less contact?
I spoke about the new CDC guideline today on a radio show with listener questions. We need to be clear that there is nothing magical about 6 ft or 15 minutes. These are gross generalization that provide something "simple" for the public. more...
1/ On new CDC guidelines that move from single-event exposure time for close contact to 24-hour integrated exposure time over 24 hours. My take ....
2/ First, while exposure time is an important factor, it is incomplete. At corsiaq.com, I describe inhalation dose. Time is an important factor, but so is concentration of aerosol particles in the breathing zone & respiratory minute volume.
3/ Concentration (C) decreases with distance from the source, and so 10 ft is better than 6 ft, etc. Take advantage of this, but also know that some dose occurs in the far field as well. Further, C is taken in breathing zone, e.g., air inside mask. Thus masks reduce C!
Aerobic activities in gyms are a bad idea during this pandemic, and it is difficult to get risk down to what I believe are acceptable levels. Results of a gym simulation I did several months ago are shown here w/ specs next ....
2/ In this simulation I used Infector X in a restaurant in China with a significant outbreak of COVID-19. By analyzing metadata for the restaurant it is possible to ask the following question ... more ...
3/ If infector X is placed in a gym as a staff member, how much volume of virus laden aerosols would someone in the gym inhale relative to those who were infected in Restaurant X? The value "omega" on the vertical axis shows this ratio for different conditions. more ..
1/ Starting to post hand-written notes and (soon) slide presentations for undergraduate and graduate indoor air quality and exposure science courses that I taught at UT Austin for decades. At corsiaq.com under teaching. Will take awhile to populate. More ....
2/ I almost always provided handwritten notes to students well in advance of class meetings. The "blank" sections were for problems or derivations that I did on the board so that students could write in the notes I provided during lecture. More ...
3/ Some notes are admittedly "cleaner" than others. You can tell by the handwriting when I was up until 3 a.m.!
These notes are primarily intended for fellow academics who might be developing such courses, but might also be of interest to others who wish to know more about ...
1/ The rebreathed fraction of air is the fraction of air that one inhales that came out of the collective respiratory systems of others in an indoor space. If a rebreathed fraction is 0.05 (a high value), every breath you take contains 5% of the collective breath of others.
2/ An important parameter is the average rebreathed fraction while you are in a space with others. The average rebreathed fraction (f) can be determined using CO2 measurements as f = (Cavg - Cout)/Cbreath.
3/ Cbreath is the CO2 concentration exhaled and is approximately 38,000 ppm (some variation with diet, etc.). Cavg is the average indoor CO2 concentration during the time you are in an indoor space in ppm, and Cout is the CO2 concentration outdoors in ppm.