1 00:00:10,980 --> 00:00:12,810 PROFESSOR: So now we're ready to synthesize 2 00:00:12,810 --> 00:00:14,940 our knowledge of airborne transmission 3 00:00:14,940 --> 00:00:18,570 in a well-mixed room and epidemiological models 4 00:00:18,570 --> 00:00:21,060 to arrive at a safety guideline to limit 5 00:00:21,060 --> 00:00:24,240 the indoor airborne spread of COVID-19, 6 00:00:24,240 --> 00:00:28,120 or, more generally, other respiratory pathogens. 7 00:00:28,120 --> 00:00:32,409 Existing guidelines limit one parameter 8 00:00:32,409 --> 00:00:33,700 that might be important. 9 00:00:33,700 --> 00:00:37,300 For example, social distancing limits the spacing 10 00:00:37,300 --> 00:00:39,670 between people, which can be defined 11 00:00:39,670 --> 00:00:45,070 by the average area per occupant for example, to a minimum 12 00:00:45,070 --> 00:00:49,350 of, say, 6 feet or 1 meter. 13 00:00:49,350 --> 00:00:52,350 Other rules, for example, adopted here 14 00:00:52,350 --> 00:00:56,070 in the state of Massachusetts, limit all gatherings 15 00:00:56,070 --> 00:01:00,000 to be no larger than 25 persons indoors. 16 00:01:00,000 --> 00:01:03,960 There also are recommendations from heating and ventilation 17 00:01:03,960 --> 00:01:07,440 societies that may recommend we increase the fresh air 18 00:01:07,440 --> 00:01:11,730 change rate to six or higher. 19 00:01:11,730 --> 00:01:15,260 In the UK, for example, the fresh air flow rate 20 00:01:15,260 --> 00:01:18,480 might be prescribed to 10 liters per second per person 21 00:01:18,480 --> 00:01:19,770 or other such numbers. 22 00:01:19,770 --> 00:01:22,560 Also the time that an infected person 23 00:01:22,560 --> 00:01:24,480 is in the presence of susceptible people 24 00:01:24,480 --> 00:01:27,150 might be limited to say, 15 minutes. 25 00:01:27,150 --> 00:01:30,270 That's involved in the definition of a contact 26 00:01:30,270 --> 00:01:32,070 here in the United States. 27 00:01:32,070 --> 00:01:34,770 So what we will see is that it's really not 28 00:01:34,770 --> 00:01:37,259 possible to write down a realistic guideline that 29 00:01:37,259 --> 00:01:40,770 bounds any one quantity, because there will always be situations 30 00:01:40,770 --> 00:01:43,530 where you either are too conservative 31 00:01:43,530 --> 00:01:47,729 or are not careful enough in bounding that quantity, 32 00:01:47,729 --> 00:01:49,690 because these qualities are all related. 33 00:01:49,690 --> 00:01:52,080 So, for example, 25 persons might 34 00:01:52,080 --> 00:01:54,360 be perfectly safe in a very large space 35 00:01:54,360 --> 00:01:57,270 for a very short amount of time with very high ventilation. 36 00:01:57,270 --> 00:02:01,170 But take those 25 persons and seal them into a small tent, 37 00:02:01,170 --> 00:02:04,590 breathing each other's air for 24 hours with very 38 00:02:04,590 --> 00:02:07,500 little ventilation, it's a completely different situation. 39 00:02:07,500 --> 00:02:09,240 And the same holds for the distance, 40 00:02:09,240 --> 00:02:12,100 or the time, or the flow rates, everything is mixed. 41 00:02:12,100 --> 00:02:13,560 And then what about other variables 42 00:02:13,560 --> 00:02:15,210 that we don't explicitly control? 43 00:02:15,210 --> 00:02:18,960 Like relative humidity or filtration efficiency, 44 00:02:18,960 --> 00:02:21,570 if you're using filters to filter the air. 45 00:02:21,570 --> 00:02:23,100 Or if you're wearing masks. 46 00:02:23,100 --> 00:02:26,910 The quality of the masks, how well does that come in? 47 00:02:26,910 --> 00:02:28,820 How about the volume of the space? 48 00:02:28,820 --> 00:02:30,570 It's not just the flow rate, but it's also 49 00:02:30,570 --> 00:02:34,270 the geometry, even the area, or the length of the space. 50 00:02:34,270 --> 00:02:37,020 So somehow all these variables must be related, 51 00:02:37,020 --> 00:02:40,360 and the goal of this chapter is to derive that relationship 52 00:02:40,360 --> 00:02:42,240 for the case of a well-mixed room, where it's 53 00:02:42,240 --> 00:02:44,700 a unique universal guideline. 54 00:02:44,700 --> 00:02:47,700 And to parameterize this specifically for COVID-19, 55 00:02:47,700 --> 00:02:50,700 by looking at a variety of superspreading events for which 56 00:02:50,700 --> 00:02:52,980 enough data is available that we can make 57 00:02:52,980 --> 00:02:57,660 a reasonable and consistent inference of the infectiousness 58 00:02:57,660 --> 00:03:00,020 of exhaled breath.