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Why You Should Love Density | Will Grover | TEDxUCR


you know as you mentioned my wife and I

we met in Berkeley and we’re both

scientists and one of the kind of

occupational hazards of being the child

of two scientists like me and my wife is

that your parents like to perform little

science experiments on you from time to

time and I’ll show you a couple of those

today if you’ll let me and I’ll

demonstrate one of them first this one I

did a few days ago with my son they

involved these two cubes shown here you

can see that they’re similar size

similar shape similar colors to them

right and I handed the first one to my

son the sleep fine into his hand he was

like okay dad what are you doing and I

handed the second one to him that sleep

and he went well geez and to prove it to

you we took a little photo of him dick

using a little teeter totter with them

what he realized was that the one on the

right there

even though identical to the other one

is tremendously more heavy than the

first it’s almost ten times heavier if

any of y’all don’t believe me after the

show tonight you’re welcome to come up

and lift these for yourself it’s not the

kind of thing that makes a good visual

demo but trust me and so he sense that

and in looking at these cubes he

realized that a whole new window and

opened up on the world tour in some way

that you could have two objects that

look so similar to each other in every

describable way and yet when you feel

them when you pick them up you can tell

something’s wrong something’s very

different about this one versus this one

what is that thing what is this like

secret invisible world of objects that

we’ve never really seen before this

point I loved watching him have that

kind of little Epiphany because it was

really a lot like what I had about five

or six years earlier I was a postdoc in

MIT at the time and I was in a lab where

we were trying to measure single cells

and in particular trying to see is there

any way you could tell the difference

between a healthy cell and a six cell

based on these measurements and you know

just like these cubes often these cells

would look very similar to each other in

terms of their size and their shape and

their appearance and we needed to find

ways properties of these cells that you

could measure and use to distinguish a

healthy cell from a six cell what could

that be well turns out in the story I’m

here to tell you tonight is that the

very property of these two cubes that

makes one so ridiculously having the

other one feels so light the very

property of these cubes is the same

property we found of living cells that

lets us tell whether a cell is sick or

healthy and that property its density

do you remember density right if you’re

like I was five or six years ago you’ve

learned it in high school it hadn’t

thought much about it since then right

well hopefully by the end of tonight I

can show you why it’s the most awesome

physical property and you should really

appreciate and love density so you might

remember that density is the function of

two other physical properties of an

object namely their mass how much in

object weighs and its volume how much

space a little object occupies and

you’ll agree that both of those

measurements mass and volume they’re

just ways of telling you how much of an

object you have how big is it but when

you divide the two by each other when

you take the mass and divide it by the

volume you get the density and that’s a

whole other thing it tells you so much

more than either of mass or volume can

tell you on their own I’ll try to give

you a few examples of that today so

first we’re gonna talk about density for

a few minutes we might as well acquaint

ourselves with the range of densities

that we encounter here on earth they

range from 0 grams per milliliter all

the way up to about 22 or 23 for the

most dense elements osmium the nuridium

and so we can look at a few spots on

this little number line and see what the

densities of a few things are on the far

left hand side here we see the density

of gases like helium point zero zero

zero two grams per milliliter and air is

point zero zero one three grams per

milliliter these are all very low

densities but you notice helium is just

a little less dense than air and that is

why when we fill a balloon with helium

and let go of it it goes up so sort of

the first example of density giving us

something meaningful in our

interpretation of the world around us in

this example what determines when I let

something go whether it goes down or up

its density if it’s more dense than

what’s around it it’ll go down if it’s

less dense than what’s around it like

the balloon it’ll go up so a little

example of density telling us something

about the world around us let’s go up

the scale a little bit further around

2.7 we encounter aluminum nice metal and

then way up at nineteen point two on the

density scale we encountered tungsten

and that is what these two blocks are

made of and that difference the

difference in density between two point

seven aluminum aluminum can very light

and tungsten one of the densest elements

that’s known is the reason why my son

Rhee

did to these and being so different and

so there’s another insight that density

can give us I could walk up on those on

these blocks and by looking at them I

couldn’t tell you which is tungsten

which is aluminum but if you let me pick

them up and if I know these density

numbers then it’s very easy for me to

tell that this is tungsten and that’s

aluminum so here density a physical

property is giving us a way to identify

chemically what material and objects

made of pretty neat that idea of using

density to identify a substance it’s not

an OL and not a new one in fact over

2,000 years ago Archimedes was asked in

the story by the King to determine

whether one of the Kings crowns was made

of pure gold or not and so Archimedes

was a smart man he realized if he could

measure the density of the crown and

compare that to the known density of

pure gold which is 19.3 very dense if

they equaled then it proved that the

crown was made of pure gold but if they

were different it meant that the King

been swindled by the crown maker I guess

and so by measuring density he knew he

could easily tell the difference between

pure gold in 19.3 and something like

iron pyrite Fool’s Gold at 5.0 but

Archimedes faced a challenge how do you

measure the density of an object like a

crown right I told you density is mass

divided by volume now getting the mass

of the crown is easy enough you just

weigh it but how do you measure the

volume of the crown without destroying

it or melting it down in a way he needed

a way to measure the density of the

crown without destroying it what he came

up with was really one of the most I

think brilliant experimental ideas in

the history of science and this is what

it is he realized that he could weigh

the crown under water if you’ve ever

been in a pool you know you weigh a

little less under water than you do

standing on dry land right well how much

less tea away well the way the math

works out the amount that different that

you weigh in the water is a function of

two things the density of the water

which is 1 we know that and the density

of you the object that we’re weighing or

the crown so if we weigh an object like

a crown in two different fluids in this

example a water and air from those two

weight measurements we can calculate the

density of the crown that’s exactly what

Archimedes did he was able to determine

what the crown was made on so now

amazingly 2,000 years later we still do

exactly what Archimedes described so

long ago in this example this athlete

here is being weighed underneath the

water and by combining that measurement

with this

and measurement of her weight on on dry

land we’d be able to calculate her

density why do you need to know a

person’s density well it turns out along

with telling you what a cube is and all

these different things it can tell you

if you’re fat or thin you’ve heard the

expression fat floats and it does if you

have a lot of fat in your body that

reduces your net density down to about

1.0 1 or so if you have a lot less fat

bone and muscle and things are more

dense so that makes your body more dense

and you reach about 1.07 or 1.08 so

here’s our first example of density

remember a physical property telling us

something very biological very health in

nature in this case how fat or how thin

a person could be all from density so

back five or six years ago as a postdoc

we looked at this and saw all the things

density could tell you and we had a

thought what if it worked just as well

on single cells what if just like I

could measure the density of a human

body and tell things about the health of

the body could I possibly measure single

cells and infer things like the

difference between a healthy cell and a

six cell or a cancerous cell based on

this density measurement so we set out

to try to do that and the first

challenge was what we need to measure

the density of a cell which hadn’t

really been done before and we realized

we could use the method that Archimedes

described the idea of weighing it in two

fluids a different density but how do

you weigh a cell you might first turn to

this if it’s in your kitchen but I can

tell you cells are a whole lot too small

to weigh on this and tiny living cells

don’t take too kindly to being plunked

down onto a little kitchen scale so we

needed a way to measure the extremely

tiny mass of cells in order to figure

out what their density was how do we do

that well luckily the lab I joined as a

as a postdoc already had a little math

sensor that they worked on that was

perfect for this job and to explain to

you how it works

I’ll show you another experiment I

performed on one of my children this

this is Jack he’s a little jerky up

there but I feel a lot smoother than

that in real life jack is it looks like

he’s on a baby bouncer and he is on a

baby bouncer but it’s also a

sophisticated mass sensor believe it or

not you see the frequency at which he’s

bouncing up and down as he kicks his

legs there he can’t just control that

frequency at will that’s actually a

fixed frequency it’s a function of a few

things that determine it but crucially

it’s a function of his mass so if he

were to say sit there and eat a

hamburger

that frequency would slow down because

his mass would have gone up how it works

so my wife and I again and this in the

spirit of experimenting on our children

realized we had an unexpected mass since

they’re here and we decided to calibrate

it first so we put some weights of known

weights on it from our weight set

ranging from this perfectly normal

waging from five pounds which had the

highest frequency of oscillation 149

beats per minute all the way to the

highest weight 20 pounds on the bouncer

which had the slowest frequency of

oscillation only 88 beats per minute now

that we calibrated it like a good

scientist if you’re if you’re preparing

lab notebooks for any of your lab

courses remember got a good calibration

curve show my data etc you’ve done you

calibrated our mass sensor now we’re

able to put jack back in it and measure

his frequency and determine what his

weight is 20 pounds and then do the same

for his identical twin brother Henry and

see that he has a slightly lower

frequency which means he has a slightly

higher mass and indeed that’s exactly

true so here you see this since our so

fantastic we have a baby bouncer this

capable of distinguishing two identical

twins from each other even I can’t do

that most days and I’m their father

so this measurement principle is really

quite good as a way to weigh something

it turns out you’ll never look at a baby

bouncer again the same way I hope so

here’s the here’s the point if you take

that baby bouncer and scale it down I

mean way way down so that the bouncing

part is about the size of a human hair

at that point you’re able to put a cell

on it instead of Jack or Henry and do

the same measurement and weigh them and

that’s what this tool here does this was

developed at MIT in the lab before I

joined it they call it a suspended micro

channel resonator and at the heart of it

is a tiny little bouncer a little diving

board shaped thing that you can see here

and it oscillates like that if we look

inside of it we don’t actually put the

cells on the outside of it we slide the

cells on the inside and this little blue

channel shown there if you zoom in on it

that’s the sensor it’s oscillating and

when we send a cell like this little red

blood cell through we weigh the cell

basically so by measuring two cell

masses and two fluids of different

density we can calculate the density of

this cell long story short so there

that’s how we do it what is the density

of a cell after all that is this even

interesting and what we found we’ve

measured a bunch of cells and we found

that most

have a density between 1.0 and 1.2 grams

per milliliter and on one hand that’s

not too surprising because water has a

density of 1.0 and cells are mostly

water so it makes sense that we would

see values around that number but not

all cells have the same density and I’ll

give you just a few examples tonight

that’s how the density of a cell can be

used to determine something very

interesting and get some insights about

the cell here’s the first example this

plot here shows each black dot is the

measurement of a single red blood cell

from someone’s blood on the bottom you

can see what the density of those cells

are ranging around one point one oh one

point one two on the side here you can

see the weight of each of those cells in

picograms if you don’t know picograms or

wonder how much it cell weighs a

millionth of a millionth of a gram very

very small weights and so in healthy

blood cells we can see all of those

measurements kind of pile up into that

little oval region and that’s where we

expect them to go but if you do the same

measurement Unseld x’ that part that

some of them are infected with malaria

parasite we see a few cells over there

to the left that are a little less dense

than the healthy cells those are the

cells that are infected with malaria

it’s been known for a while that the

little parasite that is malaria eats up

the hemoglobin in your red blood cells

turns it into a form that’s less dense

and the result of that is an infected

cell becomes less dense and we can see

that and we can identify the infected

cells compared to the healthy cells

based on their density what else here’s

data showing the mass and volume of

cancer cells these are leukemia cells

from a mouse and you’re seeing in the

black points the measurements before we

treat them with a drug and in the red

points the measurements after we treat

them with an anti-cancer drug and if you

look just at the mass and volume of the

cells before and after black and red you

don’t see much of a change and in fact

if this data was all you had to go by

you might not have thought that drug was

any good but like I said density is mass

divided by volume if you do that math

for each one of these points you get

this story over here a very much clearer

picture we see that after treatment just

minutes after we dosed these cells with

a drug we see that a large number of the

cells has increased in their density by

a large statistically significant amount

what this means is that just minutes

after treating these cells with a drug

we can see that yeah those cancer cells

are reacting to that drug we hope that

eventually this could become a drug

screening tool you might be able to use

density change as a way to find new

cancer drugs based on whether or not the

cells density changes when they

encounter the drug and then I can finish

with just a little recent data from my

lab here at UC Riverside this is showing

the a buoyant mass which is a function

of density of single zebra of a single

zebrafish embryo why we’re studying

zebrafish well a few reasons zebrafish

embryos are an aquatic organism and so

if something hurts the zebrafish embryo

like a chemical then there’s reason to

think that it would hurt a lot of other

fish and it’s probably the kind of

chemical you’d want to not have in your

waterways and to a zebrafish embryo

looks a lot like a human embryo so if

something hurts the zebrafish embryo and

is a good reason to think that you

wouldn’t want to have it around any of

your embryos either so this is what the

mass buoyant mass or density of a

healthy zebrafish looks like over time

and then if we do the same measurement

on a sick zebrafish that we’ve exposed

to some chemical that makes it ill we

see a very different reaction we see

little decreases in it’s buoyant mass it

means its density is changing we don’t

know what’s causing this yet but what we

do know is that we’ve tried the same

experiment on a whole bunch of different

sorts of sicknesses different sorts of

toxicants for these zebrafish and we

still see this same signature it’s as if

this change is somehow indicative of a

sick zebrafish a regardless of exactly

what we did to make it ill and so where

we want to see this going in the future

is to familiar with the idea of a canary

in a coalmine right the the bird that

the coal miners brought down to see if

the air was safe to breathe we hope that

the density measurements that we’re

making right now will in the future they

come like a sort of super canary in a

coal mine that by measuring the density

of these organisms of these embryos or

other microorganisms we could have an

instrument that will live and sample the

groundwater and tell you if there’s

something dangerous entering into it or

an instrument that can live in the air

and sample the air around us and tell us

if there’s something dangerous all based

on how the density of these organisms

react to exposure to whatever’s in the

environment that’s one direction we’re

taking it so hopefully today I showed

you and shared with you why I think

density is just the most awesome

physical property that’s out there it’s

something that every object around here

from crowns to cells to fish to you and

me we all have a density we can’t see it

but we can feel it and we can measure

it and if you can measure it accurately

enough you can use it to sort of open up

whole new views on the world around you

thank you [Applause]

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