Oct 13 2020

These days, there are almost daily reports about how a vaccine for the
coronavirus is around the corner. Possibly still a rather large corner, but
of course everyone wants to find a vaccine, some kind of protection against
this spectre that's haunted us for most of this year.

Labs in various parts of the world are now testing possible vaccines, and I
wanted to write a column exploring that process, specifically its
fundamentally mathematical nature. I couldn't fit everything into one
column, though.

So here's the first column I wrote, explaining the general idea of drug
trials (Mint September 25):
https://www.livemint.com/opinion/columns/vaccine-phasebook-the-essence-of-trials-11600965107078.html

The next bit of mail from me will have the sequel.

yours,
dilip

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Vaccine phasebook: the essence of trials


It’s one of those pandemic sidelights. We’ve learned plenty of resonant
phrases and concepts that we might not otherwise have done. Like:
exponential growth, herd immunity (or even, as a certain President recently
had it, herd mentality), peaking … and Phase 1, or even 2 and 3.

Those last three refer to clinical trials of vaccines to fight the virus.
That is, a potential vaccine has to go through three different kinds of
trials, each more elaborate and wide-ranging than the previous. Only after
it has passed those trials can the vaccine be put on the market for
widespread use. With this particular virus, there are efforts around the
globe to find a vaccine, and some are now starting on Phase 3 trials.

This may mean a vaccine will be available soon. Or not. There’s doubt
because it must actually pass the Phase 3 trials, and we don’t know if it
will. But what we have no doubt about is that we don’t yet have a vaccine.
Oh, there are those who may tell you different. They may try to sell you a
“cure” for the virus that will give you “100% recovery” from it. Until it
has gone through those trials, treat such “cures” as the snake-oil they are.

But leave aside snake-oil. What do those trials entail, anyway?

Let’s say you lead a lab that has been working feverishly for weeks with
the corona molecule. You’ve made progress. You’ve identified its
vulnerabilities and have put together a cocktail of chemicals to mount an
attack on them. At least on your Petri dishes and under your microscopes,
the cocktail seems able to neutralize or even destroy the virus. It’s time,
you believe, to try it on humans.

Thus Phase 1. This is a trial in which you ask for a few healthy volunteers
— typically a few dozen — and administer the cocktail to them, the first
people to get it. Why healthy? Think about it: the first priority with a
new medicine must be to ensure it doesn’t cause some entirely different
complications in otherwise healthy people. This is particularly important
when a virus has caused so many infections that there is already an undue
strain on health care systems.

Nevertheless, the kinds of questions you want answered in Phase 1 are: does
the vaccine have any side-effects? If so, does the size of the dose make a
difference to the side-effects? Is it safe? And of course, does it appear
to be working?

Also, with any new medicine, you want to find its most appropriate dosage,
with the fewest side-effects. So the first few volunteers are given a very
low dose and observed closely. If side-effects are only minor, the next set
of volunteers get a higher dose. This cycle repeats until we find a dose
strength that seems to work, while only causing an acceptable level of
side-effects. This is called the “maximum tolerated dose” of the potential
vaccine.

When Phase 1 tests suggest that the new medicine is safe, it’s time for
Phase 2. This time, you call for a larger number of volunteers, perhaps a
few hundred. While they are not all infected with the virus, many are. They
are treated with doses of the medicine up to the maximum tolerated dose, as
identified in Phase 1.

Again, there are questions that need answers. How effective is the medicine
in preventing the virus from infecting healthy people, and in treating
people who are already infected — that is, does the medicine work as
preventive vaccine and curative drug? Is there an “optimum dosage” — short
of the maximum tolerated dose — that we can identify? Does the medicine
affect the volunteers’ immune systems, and if so how? How do factors like
age and gender affect its effectiveness?

Typically in Phase 2, there will also be a group of patients simultaneously
being given a placebo — meaning something that looks identical to the
treatment under trial, but that has no medicinal value and does nothing by
way of treatment. The point here is to establish a standard, a reference,
against which the performance of the new drug can be measured. Absent such
a “control” reference, how can you conclude that the medicine is working?

And if you do come to that conclusion, you will probably embark on Phase 3
trials. By this time, you have a good idea of the final chemical
composition of your cocktail, and of the appropriate dosage to give both
healthy and infected people.

So now, the medicine is administered to several thousand people — one Phase
3 trial of a potential Corona vaccine in the USA, for example, is enrolling
up to 30,000 adult volunteers. Typically, Phase 3 volunteers will come from
different countries and living conditions. It is also usually administered
in conditions and environments similar to the way it will be used when
fully approved. Again, some volunteers will be treated with a placebo, so
they are a control group.

If your cocktail passes the Phase 3 trials, you can apply for a licence to
manufacture and distribute it as an approved vaccine.

Now this is a broad and not necessarily definitive outline of these trials.
But perhaps you’re wondering: what does it mean to conduct these trials,
and for a particular new vaccine to “pass”? Well, apart from administering
doses and monitoring patients, there’s a reason these tests interest me.
Just a taste of that here; I’ll leave a more detailed exploration for a
future column.

For one thing, how do you decide that the medicine has side-effects?
Suppose your Phase 1 trial involves 100 volunteers. Of those, two start
limping after taking the medicine. Is that worth noting? What if 60 start
limping? That is, at what point do you decide that limping is a likely
side-effect of this new medicine?

Also, since you are choosing healthy volunteers for Phase 1, you’re not
gathering a random set of people. That automatically means these tests
might suffer from a well-known problem when analyzing numbers. Who chooses
the volunteers, and how? To make this clear, imagine that you deliberately,
for reasons of your own, choose volunteers who have already been infected
and have recovered. Volunteers who are, thus, now immune. What effect will
this “selection bias” have on your trial?

Consider the administration of placebos and the “control” group of
volunteers. Suppose the trial is being run by a doctor who is already
persuaded that the medicine works. Knowingly or not, he might try to help
volunteers who appear more ill than others by putting them in the group
that’s getting the actual treatment, not the placebo. Clearly, this will
skew the test results. This is why we must ensure that neither the
volunteers nor the researchers know who will receive what treatment. This
produces a “double blind” control.

Finally, how does a medicine “pass” these tests? If 50% of our Phase 3
volunteers recover from the infection, is that a pass? Is that enough to
allow it to be promoted as a cure? Will 50% of those who use it actually
recover ? Answers to questions like these take into account concepts like
“sample size” and a “confidence interval” for our results.

Those quoted phrases in the last few paragraphs are mathematical — really,
statistical — terms. They signal that phase trials are essentially
mathematical exercises. That’s why we gain confidence in the drugs we use.
That’s why these trials so fascinate me.


-- 
My book with Joy Ma: "The Deoliwallahs"
Twitter: @DeathEndsFun
Death Ends Fun: http://dcubed.blogspot.com

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