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Thanks for tuning in for this. I'm going to&nbsp;
talk today about the durability of immunity&nbsp;&nbsp;

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following affection by SARS-CoV-2 and this&nbsp;
is a collaboration led by me with a bunch&nbsp;&nbsp;

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of members of my lab and some other folks who&nbsp;
have worked on it with me or are listed here.

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So start from the beginning the durability of&nbsp;
immunity upon natural infection has been called by&nbsp;&nbsp;

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many the greatest unknown factor of the COVID-19&nbsp;
epidemic. Just to give you some examples of this,&nbsp;&nbsp;

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on the left you see a nature video talking about&nbsp;
the big questions six months on. The major one&nbsp;&nbsp;

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of which that they highlighted was what is the&nbsp;
durability of immunity once you get infected?&nbsp;&nbsp;

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Secondly on the right is a news article from&nbsp;
STAT seven months later what we know about&nbsp;&nbsp;

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COVID-19 and the pressing questions that remain&nbsp;
and in there, you'll find that one of the ones&nbsp;&nbsp;

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they highlight to the greatest degree is what&nbsp;
is the durability of immunity of COVID-19?

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Now most of the studies that have spoken about&nbsp;
this topic have done longitudinal observation&nbsp;&nbsp;

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looking at the decline of&nbsp;
some kind of antibody response&nbsp;&nbsp;

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after infection by SARS-CoV-2.&nbsp;
The difficulty with doing that&nbsp;&nbsp;

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on SARS-CoV-2 and getting a result is that the&nbsp;
decline of antibody level occurs fairly slowly&nbsp;&nbsp;

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and as you can see in this one of the first&nbsp;
papers that came out. Essentially there's&nbsp;&nbsp;

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not much decline here there's just the increase&nbsp;
consequent to infection in these three different&nbsp;&nbsp;

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IgG types and then sort of a leveling off and in&nbsp;
a few individuals there's a little bit of decline,&nbsp;&nbsp;

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but really on average you're not seeing the&nbsp;
decline yet. And that's characteristic actually&nbsp;&nbsp;

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of all coronaviruses that they tend to decline-&nbsp;
start declining around 90 days and that's already&nbsp;&nbsp;

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three months in advance and a short epidemic&nbsp;
like this there's just not enough information&nbsp;&nbsp;

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to figure out what the decline of antibodies&nbsp;
is and what its correlation with immunity is.

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So that news that in fact you know&nbsp;
that in fact antibodies may decline&nbsp;&nbsp;

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sparked some fears that immunity to COVID-19&nbsp;
wanes fast. This is just a news article saying&nbsp;&nbsp;

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studies show coronavirus antibodies may&nbsp;
fade fast raising questions about vaccines.

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And then but you can find answers sort of both&nbsp;
ways. So many have deemed the question impossible&nbsp;&nbsp;

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to address. This epidemic is so recent. There&nbsp;
have been few well-monitored re-infections.&nbsp;&nbsp;

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So here on the left you see one saying my patient&nbsp;
caught COVID-19 twice so long to herd immunity you&nbsp;&nbsp;

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know. Is there no immunity that you get from this&nbsp;
disease? And then another article simultaneously&nbsp;&nbsp;

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or very nearly simultaneously can you get&nbsp;
COVID again? It's very unlikely experts say.

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So it would be really great to answer this&nbsp;
question and I'm here to say we can answer&nbsp;&nbsp;

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this question. On the contrary there's not&nbsp;
nothing known but we do know something about&nbsp;&nbsp;

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the durability of immunity to SARS-CoV-2 and the&nbsp;
reason we know it is because of the historical&nbsp;&nbsp;

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contingencies of evolutionary biology. SARS-CoV-2&nbsp;
is a coronavirus like multiple other coronaviruses&nbsp;&nbsp;

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that are listed here SARS-CoV-1 the three- the&nbsp;
human coronaviruses you may be familiar with&nbsp;&nbsp;

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that are- cause the common cold regularly MERS&nbsp;
[Middle East Respiratory Syndrome] is another&nbsp;&nbsp;

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example and those coronaviruses all have genetic&nbsp;
differences that tell us how closely related they&nbsp;&nbsp;

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are to each other. So we can learn something&nbsp;
from the other coronaviruses about SARS-CoV-2&nbsp;&nbsp;

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and there's a very rigorous way of doing&nbsp;
that and that is by phylogenetic analysis.

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So if we look at the different viruses, we can&nbsp;
see how closely related they are, and the fact&nbsp;&nbsp;

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is that viruses can't evolve super quickly. They&nbsp;
have limits the rate at which they can evolve and&nbsp;&nbsp;

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how fast they can change, and we have methods in&nbsp;
evolutionary biology to understand how fast they&nbsp;&nbsp;

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change across a phylogenetic tree such as this one&nbsp;
which we reconstructed from the genome sequences.

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So the kind of data that we want to take into&nbsp;
account to do this is to look at continuous issue-&nbsp;&nbsp;

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we want to do continuous ancestral and descendant&nbsp;
state inference under a Brownian-motion model of&nbsp;&nbsp;

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trade evolution and the kind of data we're looking&nbsp;
at is this Anti-N which is one of the genes of the&nbsp;&nbsp;

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coronavirus IgG which is just an antibody type&nbsp;
across time. So this paper by Edridge et al. very&nbsp;&nbsp;

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fortunately looked at the three- I'm going to talk&nbsp;
about three of the seasonal coronaviruses here&nbsp;&nbsp;

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over time and examined when they had peaks:&nbsp;
these starry points which indicate that there&nbsp;&nbsp;

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was an infection in an individual. These are&nbsp;
in the seasonal coronaviruses and then that&nbsp;&nbsp;

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allows us both to understand what levels of&nbsp;
antibody allow an individual to get infected&nbsp;&nbsp;

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but also how long it takes for them to&nbsp;
decline between times of being infected.

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So analyzing both of those things across the&nbsp;
coronaviruses, and I'm sorry this appears&nbsp;&nbsp;

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much more pixelated on the screen than it did when&nbsp;
I made it, but we're able to actually characterize&nbsp;&nbsp;

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the peak normalized antibody levels over time&nbsp;
based on that kind of data for these human&nbsp;&nbsp;

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coronaviruses. We're also able to characterize the&nbsp;
daily probability of infection or how long over&nbsp;&nbsp;

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over time it takes- how likely are you be infected&nbsp;
as your antibody level declines. This is for these&nbsp;&nbsp;

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seasonal coronaviruses for which that longitudinal&nbsp;
data over many many years that was over decades&nbsp;&nbsp;

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was collected. Now in addition to understanding&nbsp;
this about the seasonal coronaviruses, they're&nbsp;&nbsp;

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embedded in this phylogenetic tree that&nbsp;
it allows us- enables us to also study&nbsp;&nbsp;

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the seasonal coronaviruses for which we don't&nbsp;
have daily probability of infection data, but&nbsp;&nbsp;

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for which we do have some data on the IgG, IgA,&nbsp;
IgM on this information about the antibody level.

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So combining that data based on what we&nbsp;
already know about SARS-CoV-2, SARS-CoV-1,&nbsp;&nbsp;

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MERS-CoV, and these three seasonal coronaviruses&nbsp;
combined with the information on daily probability&nbsp;&nbsp;

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of infection, we're able to use phylogenetic&nbsp;
methods to impute what the daily probability&nbsp;&nbsp;

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is an infection and what the rest of the&nbsp;
antibody decline is probably like for&nbsp;&nbsp;

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each of these zoonotic coronaviruses enabling&nbsp;
us to estimate the time of waning immunity,&nbsp;&nbsp;

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the problem of infection over time, and&nbsp;
the probability density of re-infection.

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So what this gives us is this probability of&nbsp;
density of reinfection over time. This is an&nbsp;&nbsp;

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axis of days on the axis here, and you can&nbsp;
see that although there's some differences&nbsp;&nbsp;

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between the antibody decline and the daily&nbsp;
probabilities of infection among these different&nbsp;&nbsp;

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diseases, the overall distribution of&nbsp;
when you get in of a time of reinfection&nbsp;&nbsp;

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does not appear to be all that different&nbsp;
between these different diseases.

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Consequently what we can conclude in our main&nbsp;
analysis is the following. That the median time&nbsp;&nbsp;

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to reinfection by SARS-CoV-2 appears to be about&nbsp;
1 year, 7 months. SARS-CoV-1 is quite longer.&nbsp;&nbsp;

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SARS-CoV-2 by our best estimate SARS-CoV-2&nbsp;
again 1 year, 7 months. MERS 1 year, 4 months&nbsp;&nbsp;

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although it's never been you know you don't&nbsp;
get reinfections because the zoonotic disease&nbsp;&nbsp;

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does not spread from human to human. And&nbsp;
for the different seasonal coronaviruses,&nbsp;&nbsp;

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we get somewhere between four to&nbsp;
six years for the duration of that.

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So what are my conclusions? They are&nbsp;
that this ancestral and descendant states&nbsp;&nbsp;

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estimate of the timing of the waning of immunity&nbsp;
can facilitate a quantitative analysis of all&nbsp;&nbsp;

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policy decision making with regard to individuals&nbsp;
who've recovered from COVID-19 and who may be&nbsp;&nbsp;

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viewed as immune to reinfection but may not&nbsp;
be after some time. Secondly, the durability&nbsp;&nbsp;

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of immunity has implications for the&nbsp;
deployment of recovered health care workers,&nbsp;&nbsp;

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of travel restrictions, decisions on how&nbsp;
students retain their education, prospective&nbsp;&nbsp;

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vaccination protocols for clinical trials as&nbsp;
well as the opening and closing of economic&nbsp;&nbsp;

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sectors in response to predictive models of the&nbsp;
epidemic. Our estimate argues strongly against&nbsp;&nbsp;

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the claim that a long-standing resolution of&nbsp;
the epidemic could arise due to any kind of herd&nbsp;&nbsp;

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immunity from natural infection. Such a strategy&nbsp;
jeopardizes millions of lives entailing high rates&nbsp;&nbsp;

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of infection morbidity and death every 1.5 years.&nbsp;
It provides some guidance as to the likely time&nbsp;&nbsp;

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scale of immunity conferred by a typical vaccine.&nbsp;
I'll have a caveat about that in a moment.&nbsp;&nbsp;

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This approach has general applicability to rapid&nbsp;
prediction of parameters for any novel pathogens&nbsp;&nbsp;

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provided they're embedded in a plate containing&nbsp;
three or more previously studied human pathogens.

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I just want to give you a few caveats to make sure&nbsp;
it's clear what we can and can't say from this.&nbsp;&nbsp;

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The research addressed durability&nbsp;
of immunity in response to typical&nbsp;&nbsp;

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natural infections under endemic conditions. The&nbsp;
durability in response to vaccination requires a&nbsp;&nbsp;

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little further analysis because vaccination&nbsp;
doesn't give you the same antibody level&nbsp;&nbsp;

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response that natural infection does necessarily.&nbsp;
And also we're under pandemic conditions until the&nbsp;&nbsp;

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world's population has sort of been exposed to the&nbsp;
disease or vaccination and so that means that some&nbsp;&nbsp;

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of the timings are going to be slightly different&nbsp;
for some complicated epidemiological reasons. Our&nbsp;&nbsp;

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estimate and some certainty should be understood&nbsp;
as a prediction of the average durability not&nbsp;&nbsp;

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universal to everybody. We know that different&nbsp;
antibody levels are sparked by different&nbsp;&nbsp;

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infection levels and by different vaccines so each&nbsp;
individual is slightly different this is what's&nbsp;&nbsp;

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typical. And because SARS-CoV-2 is a novel virus&nbsp;
the human immune system, the reinfection may not&nbsp;&nbsp;

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exhibit the same severity as first infections.&nbsp;
We will have to see as time goes on. Thanks very&nbsp;&nbsp;

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much for the time and from the support from&nbsp;
NSF to do this very interesting research.

