Waning immunity is really hard to analyze.
Let's go through the rabbit hole.
๐Ÿงต๐Ÿงต๐Ÿงต
๐Ÿ‘‡
Let's start with H3N2 Flu vaccine effectiveness (VE) from the Kaiser Permanente study in 2019.
sources:
academic.oup.com/cid/article/68โ€ฆ
science.sciencemag.org/content/364/64โ€ฆ
Notice the massive reported decline in VE even WITHIN the same flu season! The implications for public health cannot be more important. We usually offer flu shorts in the early fall (Sep), while the peak season is in the Winter (Jan-Feb). Should we reconsider our approach?
You might argue that one study is not enough. But these patterns of quickly declining VE observed in many studies, including Spain and the UK.
These results are not a fluke!
Source: cdn.sanity.io/files/0vv8moc6โ€ฆ
So you probably say: these are clear cases of waning immunity.

Antibody titers goes down and what we get is a shitty anti-Flu response 150+ days later. We know that titers matter. Here's the correlation between INITIAL titers and VE for CoV2. We need a booster.

NOT SO FAST!
(before we move forward, I would like to recommend this excellent super long thread about titers, the immune system, and VE)

Now, back to our discussion!
Of course, another option is antigen drift. The flu vaccines are designed about nine months in advance before the flu season. Maybe new strains emerge super quickly so 150+ post vaccination, they escape?
Indeed, the authors noted that antigen drift is a possibility. But H3N2 Flu antigens are not that different even in consecutive seasons. And it takes 3-5 years to have totally new variants. So less likely.
Sources:
science.sciencemag.org/content/305/56โ€ฆ
nature.com/articles/nrmicโ€ฆ
But there is another surprising option!
Before considering this option, we should first talk about the meaning of VE.

Many people assume that VE=95% means that 95% of the people are totally immune and 5% are at risk. But this an extreme option, called an all-or-none vaccine.
Another extreme option is that 100% of the vaccinated people have a reduced risk by 95%. So no heterogeneity in vaccinated at all and if you keep exposing them, eventually there will be a breakthrough. This option is called a leaky vaccine.
Now in the all-or-none vaccine, the VE measures is invariant over time.

The graph presents the # of infected individuals as a function of time in each group (R means 1-VE. ฮป = rate of infection).
Source: pubmed.ncbi.nlm.nih.gov/6698708/
But check out what happens with a leaky vaccine!
At the beginning (small ฮปT), we will get measures of VE=1-R. But if the pathogen continues to rip through the population, eventually the VE will go to zero EVEN WITHOUT WANING IMMUNITY ๐Ÿ˜ฌ.
So if we have a leaky vaccine and either wait enough or have large infectious rate, we will observe a decrease in VE. We might think that this is waning immunity but it can be just a statistical phenomenon rather an immunological one.
Now, biology does not tell us if we have an all-or-none vaccine or a leaky vaccine. And probably for covid vaccines, we have something in the middle, where some individuals have a protection that approaches 100%, some have 0% protection, and some are in between.
Take home messages:
1. Understanding waning immunity is really hard. We did not even discuss other confounders such that more vulnerable people vaccine first.

Bottom line is that a drop in VE does not always mean waning immunity.
2. If we have a leaky vaccine, we NEED TO CUT TRANSMISSION. Let it rip is not the best option.

/end

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More from @erlichya

22 Jul
ืžื—ืฉื‘ื•ืช ืขืœ ื”ื‘ื•ืกื˜ืจ.
ืฉืจืฉื•ืจ.
๐Ÿงต๐Ÿงต๐Ÿงต
๐Ÿ‘‡
ืœืžื” ื™ืฉ ืœื ื• ื’ืœ ืฉืœ ื”ื“ื‘ืงื•ืช?
ื‘ื’ื“ื•ืœ ืขื“ ืืชืžื•ืœ ืฉืžืขืชื™ ืฉืชื™ ืชื™ืื•ืจื™ื•ืช ืžื•ื‘ื™ืœื•ืช ืœื’ื‘ื™ ื”ื’ืœ ื”ื–ื”:
ื. Waning immunity. ืžืขืจื›ืช ื”ื—ื™ืกื•ืŸ ืดืฉื›ื—ื”ืด ืืช ื”ื•ื™ืจื•ืก (ืื• ืœื ื–ื•ื›ืจืช ืžืกืคื™ืง ื˜ื•ื‘) ื•ืœื›ืŸ ืื ื—ื ื• ืจื•ืื™ื ืืช ื›ืืŸ ืืช ื”ื’ืœ.
ื‘. Viral escape. ื–ืŸ ื”ื“ืœืชื ืžืฆื™ื’ ืืคื™ื˜ื•ืคื™ื ืฉื•ื ื™ื ืฉื”ื—ื™ืกื•ืŸ ืคื—ื•ืช ืจืœื‘ื ื˜ื™ ืืœื™ื”ื.
ื”ื”ื‘ื“ืœ ื‘ื™ืŸ ืฉืชื™ ื”ืชื™ืื•ืจื™ื•ืช ื”ืืœื” ื”ื•ื ืงืจื™ื˜ื™. ื”ืจืืฉื•ื ื” ืื•ืžืจืช ืชื ื• ื‘ื•ืกื˜ืจ ืžื”ืจ ื•ื”ืฉื ื™ื” ืื•ืžืจืช ืžื” ืคืชืื•ื ื‘ื•ืกื˜ืจ? ื—ื›ื• ืœืขื“ื›ื•ืŸ ืœื–ืŸ ื”ื—ื“ืฉ.

ืื—ืจื™ ืฉืฉื•ื—ื—ืชื™ ืขื ื›ืžื” ืžื—ื‘ืจื™ ืืชืžื•ืœ ื‘ืœื™ืœื”, ื™ืฉ ืชื™ืื•ืจื™ื” ืฉืœื™ืฉื™ืช ืฉื”ื™ื ืžืื“ ืžืขื ื™ื™ื ืช. ื‘ื•ื ื ืฆื ืœืžืกืข ืงืฆืจ.
Read 16 tweets
20 Jul
It might be that we are back to square one (March 2020) in Israel in terms of prevention of transmission despite the impressive vaccine operation.

A thread ๐Ÿงต
[translated from my Hebrew thread due to the popular demand]
๐Ÿ‘‡๐Ÿ‘‡๐Ÿ‘‡
Increasing lines of evidence from Israel suggest a massive drop in the effectiveness of the Pfizer vaccine to prevent *transmission* of Delta. Recent numbers suggest ~60% compared to ~90% against previous VoC.

What is the blended protecting for the Israeli population?
Let's consider three groups: no vaccine (0% effectiveness), vaccinated (60%), recovered (100%, which is a bit of an overestimation).

The size of each group is from here (MoH data):
Read 9 tweets
20 Jul
ื—ื–ืจื ื• ื›ืžืขื˜ ืœื ืงื•ื“ืช ื”ืืคืก (ืžืจืฅ 2020) ืžื‘ื—ื™ื ืช ืžื ื™ืขืช ื”ื“ื‘ืงื”.
ืฉืจืฉื•ืจ.
๐Ÿงต๐Ÿงต๐Ÿงต
๐Ÿ‘‡
ืžืชืจื‘ื•ืช ื”ืขื“ื•ื™ื•ืช ืฉื™ืขื™ืœื•ืช ื”ื—ื™ืกื•ืŸ ื›ื ื’ื“ ื”ื“ื‘ืงื” ื‘ื“ืœืชื ื”ื™ื ื‘ืื–ื•ืจ ื” 60% (ืœืขื•ืžืช ืžืขืœ 90% ื‘ื–ื ื™ื ื”ืงื•ื“ืžื™ื). ืขื›ืฉื™ื• ืžื›ื™ื•ื•ืŸ ืฉืœื ื›ื•ืœื ืžื—ื•ืกื ื™ื ืขื ื™ื™ืŸ ืื•ืชื™ ืœื“ืขืช ืื™ืš ืžื‘ื—ื™ื ืช ืื•ื›ืœื•ืกื™ื” ืžืžื•ืฆืขืช ืื ื—ื ื• ื™ื•ืชืจ ื—ืกื™ื ื™ื ืœื”ื“ื‘ืงื•ืช ืœืื•ืจ ื”ื ืชื•ืŸ ื”ื”ื–ื”.
ืœื›ืŸ, ื—ื™ืฉื‘ืชื™ ืืช ื”ืžืžื•ืฆืข ื”ืžืฉื•ืงืœืœ ืฉืœ ื™ืขื™ืœื•ืช ื”ื—ืกื™ื ื•ืช ื”ื”ื“ื‘ืงื” ื‘ื”ืชื—ืฉื‘ ืฉื™ืฉ ื‘ืื•ื›ืœื•ืกื™ื” ืฉืœื•ืฉ ืงื‘ื•ืฆื•ืช: ืœื ืžื—ื•ืกื ื™ื (ื™ืขื™ืœื•ืช ืืคืก ื‘ืžื ื™ืขืช ื”ื“ื‘ืงื”), ืžื—ื•ืกื ื™ื (ื™ืขื™ืœื•ืช 60%), ื•ืžื—ืœื™ืžื™ื (ืฉื ืชืชื™ ืœื”ืื™ืขื™ืœื•ืช 100% ืœืžืจื•ืช ืฉื–ื” ื‘ื˜ื— over-estimate). ื’ื“ืœื™ ื”ืงื‘ื•ืฆื•ืช ื”ื ื›ืืŸ:
Read 9 tweets
18 Jul
ื’ื ืœื™ ื ืžืืก ืžื”ื“ื™ื•ืŸ ื”ืื™ื ืกื•ืคื™ ืขืœ ื”ื’ื‘ืœื•ืช ืžื•ืœ ื—ื™ืกื•ื ื™ื ืžื•ืœ ื“ืขื™ื›ื” ืกืคื•ื ื˜ื ื™ืช.

ื”ื ื” ืฉืจืฉื•ืจ ืฉืžื ืกื” ืœื™ืฆื•ืจ ืœืงื— ืžื”ื’ืœ ื”ืจื‘ื™ืขื™ ืขื ื”ืกืชื›ืœื•ืช ืœื˜ื•ื•ื— ื”ื‘ื™ื ื•ื ื™.
๐Ÿงต๐Ÿงต๐Ÿงต
ืื ื™ ื‘ื ื™ื’ื•ื“ ืœื—ื‘ืจื™ ื“ื‘ื™ืจ ื—ื•ืฉื‘ ืฉื“ืœืชื ื”ื•ื ื”ืกื™ื‘ื” ื”ืขื™ืงืจื™ืช ืœื”ืชืคืจืฆื•ืช. ืื ื”ืชื ืื™ื ื”ืกื‘ื™ื‘ืชื™ื ื”ื™ื• ืžืกื‘ื™ืจื™ื ืืช ื”ื—ืœืง ื”ืืจื™, ืจื•ื‘ ื”ืกื™ื›ื•ื™ื™ื ืฉื”ื™ื™ื ื• ืจื•ืื™ื ื‘ืžืงื‘ื™ืœ ื”ืชืคืจืฆื•ืช ืฉืœ ืืœืคื ื‘ื ื•ืกืฃ ืœืืœืคื. ืื‘ืœ ื“ืœืชื ื”ื•ื ื”ื–ืŸ ื”ืฉื•ืœื˜ ื”ื™ื—ื™ื“ื™ ื›ืืŸ. ื–ื” ืงื•ืจื” ื‘ืขื•ื“ ืžืงื•ืžื•ืช ื‘ืขื•ืœื ื•ืœื›ืŸ ื–ืืช ื”ืกื™ื‘ื” ื”ืžืจื›ื–ื™ืช.
ืœื›ืŸ ื”ื›ืฉืœ ื‘ื’ืœ ื”ืจื‘ื™ืขื™ ื”ื•ื ืฉื‘ืžืฉืš ืฉื‘ื•ืขื™ื™ื, ื”ืชื™ื™ื—ืกื ื• ืœื“ืœืชื ื›ืืœ ืขื•ื“ ื–ืŸ ื›ืžื• ืืœืคื ื•ื”ืกื‘ืจื” ื”ืžื•ื˜ืขืช ื”ื™ื™ืชื” ืฉื—ื•ืžืช ื”ืืฉ ืฉืœ ื”ื—ื™ืกื•ื ื™ื ื™ืขืฆืจื• ืืช *ื”ื”ื“ื‘ืงื•ืช*. ื•ื›ืš ื”ื’ืขื ื• ืœืžืฆื‘ ืฉืžืคื—ื•ืช ืขืฉืจื” ื ื‘ื“ืงื™ื ื‘ื™ื•ื ื™ืฉ ืœื ื• ืžืขืœ ืืœืฃ ื‘ื™ื•ื ื•ื”ื™ื“ ืขื•ื“ ื ื˜ื•ื™ื”.
Read 10 tweets
14 May
On rockets in Tel-Aviv๐Ÿš€, measures, and statistics
[with some comparisons to covid19]
A thread without politics.
Hint: I use cute emojis but it is anything but cute.
๐Ÿงต๐Ÿงต๐Ÿงต
๐Ÿ‘‡๐Ÿ‘‡๐Ÿ‘‡
In the past four days, Hamas and other Islamic extremists have launched over 3000 rockets on Israeli cities, a country that has one of the highest population density in the world (rank #17, 20x the US). Yet, less than 10 civilians were killed.

How can it be?
First, let's get familiarized ourself with the Hamas rockets. Their rockets can target nearly every population center in Israel with a warhead of 10kg-250kg explosives. But they have one main drawbacks: low accuracy
Read 18 tweets
13 May
ืคื™ื™ืกื‘ื•ืง (ื›ื•ืœืœ ื•ื•ืื˜ืกืืค) ืžืฉืžืฉืช ืœื”ืชืืจื’ื ื•ืช ื—ืกืจืช ืชืงื“ื™ื ืฉืœ ืžืœื™ืฆื™ื•ืช ืคื•ืจืขื™ื. ื”ื—ื‘ืจื” ืœื ืขื•ืฉื” ื›ืœื•ื ื‘ื ื™ื“ื•ืŸ. ืขื“ื™ ืกื•ืคืจ ืชืื ื™ ื ืขืœืžื” ื›ืื™ืœื• ื–ื” ืœื ืงืฉื•ืจ ืืœื™ื” ื‘ื›ืœืœ ื‘ื–ืžืŸ ืฉืื ื—ื ื• ืžื ืกื™ื ืœืืกื•ืฃ ืืช ื”ืฉื‘ืจื™ื. ืขื•ื“ ื—ื•ื“ืฉื™ื™ื ืชื”ื™ื” ืœื” ื›ืชื‘ืช ื™ื—"ืฆ ืžืคื ืงืช ืฉื”ื™ื ืชืกืคืจ ืขืœ ื”ืฉื ื” ื”ืงืฉื” ืฉืœื”.
@grolnik @Nadav_Eyal @amsterdamski2
ื›ืžื” ื—ื‘ืจื™ื ื›ืืŸ ืฉืืœื• ืื™ืš ื–ื” ื‘ื›ืœืœ ืืคืฉืจื™ ืœื ื˜ืจ ื•ื•ื˜ืืกืืค. ืื– ื”ื ื” ื›ืžื” ืืคืฉืจื•ื™ื•ืช ืฉืงืœ ืžืื“ ืœืขืฉื•ืช:
1. ื—ืกื™ืžื” ื–ืžื ื™ืช ืฉืœ ื™ืฆื™ืจืช ืงื‘ื•ืฆื•ืช ื—ื“ืฉื•ืช ืžืขืœ ื’ื•ื“ืœ ืžืกื•ื™ื.
2. ืฉื ื”ืงื‘ื•ืฆื” ื”ื•ื ืœื ืžื•ืฆืคืŸ ืœืžื™ื˜ื‘ ื™ื“ืขืชื™. ืงื‘ื•ืฆืช: ืดื”ื•ืจื’ื™ื ืขืจื‘ื™ื ื‘ื‘ืช ื™ืืด ื”ื™ื ืœื ืงื‘ื•ืฆื” ืœื’ื™ื˜ื™ืžื™ืช. ืืคืฉืจ ืœื”ืฉืขื•ืช ื›ืืœื” ืงื‘ื•ืฆื•ืช.
3. ืืคืฉืจ ื’ื ื—ืกื™ืžื” ื›ืœืœื™ืช
ืฉืœ ืงื‘ื•ืฆื•ืช ื•ื•ืื˜ืกืืค ืžืขืœ ื ื ื™ื— 20 ืื ืฉื™ื ื‘ืฉืขื•ืช ืžืกื•ื™ืžื•ืช ืขื“ ื”ื•ื“ืขื” ื—ื“ืฉื”. ื–ื” ื™ื”ื™ื” ื›ืžื• ืกื•ืคืจ ื˜ืื ืงืจ ืขืœ ืฉืจื™ืคื”.

4. ืคื™ื™ืกื‘ื•ืง ื”ื™ื ื—ื‘ืจื” 850 ืžื™ืœื™ืืจื“ ื“ื•ืœืจ. ืื ื”ื™ื ืœื ื™ื•ื“ืขืช ืœืคืชื•ืจ ืืช ื”ื–ื™ื”ื•ื ืื•ื™ืจ ื”ื—ื‘ืจืชื™ ืฉืœื” ืขื ื”ื›ืดื ื”ืื™ื›ื•ืชื™ ืฉืœื”, ืื™ืŸ ืœื” ื–ื›ื•ืช ืงื™ื•ื.
Read 4 tweets

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