PDA

View Full Version : "Every 20 minutes a child is diagnosed with autism" - A mathematical model? Help?


LostAngeles
28th April 2008, 09:36 PM
Gee, I hate differential equations, but I'm interested in math modeling. It's like sticking your hand into a garbage disposal for a sweet, sweet jewel. The garbage disposal is on. And there are flesh eating, garbage disposal immune monsters in it. And it's filled with lemon juice and salt.

This hasn't stopped me from attempting to model the zombie apocalypse on my own time and it's not stopping me from doing this now.

I saw the ad on my way home and it struck me as, "That rate has to be way too high." I've seen others like it, like one was that every 57 seconds (or something) customers switched to whatever company it was. Again, seems way too high a rate, but let's try and figure if that's right.

What I want to figure out is a rough ratio of the, "kids with autism," to total number of kids in the world using the, "every 20 minutes," rate. Let's assume that the diagnosis aren't, say, second opinions and that each child gets one diagnosis. Because I'm simplifying things (for now), let's consider children to be between the ages of 0 and 17. Let's also assume that none of them reproduce. Oh, and no, "degree," of autism. Let's make it either the kid isn't or the kid is.

For both, we'll have some initial population. I'm thinking that for the total population we can allow the rate of growth to be independent of the population (and that can just be the overall world birth rate I guess, when we start putting in numbers) along with the rate of decrease (harder to get, do we just consider changes in est. world adult population?), so it's more of an immigration-emigration. For the autistic kids, we'd would add them in at the rate being used.

So, before I go any further, can anyone tell me if I'm at least setting this up right or am I going about the entire problem wrong.

Terry
28th April 2008, 09:59 PM
Why isn't one every 20 minutes linear? It doesn't say 1% more every 20 minutes...

Giraffe107
28th April 2008, 10:23 PM
I think you're making it too complicated.
One every 20 minutes is 3 an hour. That is 72 per day. That is 26280 in a year. Is that number reasonable? I have no idea.

LostAngeles
28th April 2008, 10:27 PM
Why isn't one every 20 minutes linear? It doesn't say 1% more every 20 minutes...

Is should end up being linear. I've worked a similar problem for homework, the trouble has to do with the time intervals when you set it up is all.

I think you're making it too complicated.
One every 20 minutes is 3 an hour. That is 72 per day. That is 26280 in a year. Is that number reasonable? I have no idea.

I did that calculation initially. It still sounds too high. But there are tons of kids being born all the time and tons of kids maturing (legally) as well. I'm trying to compare the rate of change of autistic kids vs the rate of change of kids. (which reminds me, I'd have to deduct the autistic kids who mature).

Also, I want to flex my knowledge.

Ok, and I figure it'll help me study.

RecoveringYuppy
28th April 2008, 10:28 PM
I'd guess that a quote about diagnosis in the US. The US has 300,000,000 people. At an average lifespan of 75 years that means about 11,000 births a day. One autism diagnosis every 20 minutes works out to 72 per day. That's a .6% of the population diagnosis rate.

(All the numbers I supplied are off the top of the head guesstimates).

Repeating the calculation for 6 billion worldwide leads to about .03% diagnosis rate.

athon
28th April 2008, 11:18 PM
I'm not sure....but I think that kid is getting damn sick of having doctors call them 'autistic' over seventy times a day. I've heard of second opinions, but that's taking it too far.

Athon

Dancing David
29th April 2008, 06:04 AM
Is should end up being linear. I've worked a similar problem for homework, the trouble has to do with the time intervals when you set it up is all.



I did that calculation initially. It still sounds too high. But there are tons of kids being born all the time and tons of kids maturing (legally) as well. I'm trying to compare the rate of change of autistic kids vs the rate of change of kids. (which reminds me, I'd have to deduct the autistic kids who mature).

Also, I want to flex my knowledge.

Ok, and I figure it'll help me study.


I think I found on an uncited source (USA today) that the US births for 2007 was 4.3 million.

1% will develop scizophrenia: 43,000
ration of autism 1/150: 28,600
occurance of major depression: 430,000