How can we find the doubling time of a curve?
4 ビュー (過去 30 日間)
古いコメントを表示
Lets say I have a graph, how can I find the doubling time of the curve?
Alpha = [1.05 ]; % Initial conditions
x0 = 100; % Initial conditions
figure
n = 1:30;
x = Alpha.^n*x0;
subplot(2,2,1);
plot(n,log2(x));
title('Figure 1A-Alpha=1.05'),xlabel('X-Axis','fontweight','bold'), ylabel('Y-Axis','fontweight','bold')
Note: Doubling time refers to the days it takes for the values to double. Doubling time should stay the same throughout a single curve
0 件のコメント
採用された回答
KSSV
2020 年 6 月 7 日
編集済み: KSSV
2020 年 6 月 7 日
There is a formula for doubling time, if (n1,x1) and (n2,x2) are two data points selected, then doubling time Td is given by:
In your case: Follow the below:
Alpha = [1.05 ]; % Initial conditions
x0 = 100; % Initial conditions
figure
n = 1:30;
x = Alpha.^n*x0;
plot(n,log2(x));
title('Figure 1A-Alpha=1.05'),xlabel('X-Axis','fontweight','bold'), ylabel('Y-Axis','fontweight','bold')
% pick any two quantities randomly
idx = [5 15];
x1 = x(idx(1)) ; x2 = x(idx(2)) ;
n1 = n(idx(1)) ; n2 = n(idx(2)) ;
% doubling time
Td = (n2-n1)*log(2)/log(x2/x1)
The doubling time is found to be 14.207. Change the values of (n1,q1) and (n2,q2) you will get the same value for the data picked.
7 件のコメント
KSSV
2020 年 6 月 7 日
1/log2(Alpha) is another formula for doubling time. How you can replace this with Alpha?
その他の回答 (0 件)
参考
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!