Mathematics is everywhere. If you open your eyes, you will start to see numbers and equations

and functions absolutely everywhere. We looked at how it applies

to different areas and these are just some of the

main areas we spoke about. Demographics, medicine,

engineering, and radioactivity. But now, we’ll focus

completely on medicine. When you look at the growth

and decay of any model, so look at a tumor or bacteria, you will have to use differential equations

to model how they change over time. In medical imaging, mathematics

is used extensively. In our ever changing world of medicine

where things are becoming more technical, things are becoming more complex, the background behind it

all is just mathematics. You see things like

Radon transformation, which is a complicated integral equation combined together with

Fourier transformations in things like MRI scans

and in ultrasounds. You see Maxwell’s equation in things

like cancer therapy of hyperthermia. And the Navier Stokes equation is just one other example of the

kind of equations that we use. This describes the flow of fluid through

pipes, narrow or widened pipes. You’ll start to notice that these equations

build the foundations of our medical study, and in fact, of any field

in the modern world. You’ll also see that in these equations,

there are quite a few familiar notations. You can see the integral signs,

you can see the differentials, although these are fairly

complicated at this point in time, but you understand

what is happening, you understand whether

you’re looking the gradients or whether you’re looking at

the areas of these equations. So let’s just look at some

mathematical examples and see if we can apply differential

equation to some real life medical problems. Have a look at these examples and they’re very simple, basic examples and they’re very specific

cases that we’re looking at. But it does require some use of calculus. So have a little read of them and see if

you can figure these out for yourselves. We’ll do them in a minute together, but remember you will need a calculator

for some of these calculations.

## 2 Comments

fantastic

medicine is interesting again

Is it ok not taking a level maths when doing medicine