Plot Receiver Operating Characteristics (ROC) curve from a given probability distribution of an input variable

Hello,

I have a probability distribution function of an input variable (rupture time of a Ligand-Receptor bond).

where t is the rupture time

k, F, d, Kb and T are known constants.

I want to plot ROC curve from it. If an input (rupture time) is greater than a given threshold then there is a selection. Could anyone please help in getting this in MATLAB?

Answer 1

[KALYAN ACHARJYA]

Hint:

Define rupture time (asssuming vector data)

t=

Define other Known Parameters

k= 
F=
d= 
Kb=
T=

Calculate P(t), whcih is function of t

Pt=k*exp((F*d)/(Kb*T))*exp(-k*exp((F*d)/(Kb*T))*t)

Define Threshold (th)

"If an input (rupture time) is greater than a given threshold then there is a selection"

Use the t>th for logical indexing then get the required plot. (Use Condition to cetegories the data)

Ensure that at the end you have two vector for x (may be rupture time) and y of equal length?? I am not sure here, after that just do that plot(t,??)