How to run a MATLAB script multiple times in parallel

I have a matlab script (call that MyProcessing.m) that does some computations based on some random number. Right now I have a fixed seed to get the same sequence of random numbers. I would like to run this script multiple times in parallel to utilize the multiple cores that I have available on the system. I want each of the new "processes" to start with a different (but fixed for the moment) seed. Bellow is the processing file as it is right now.

There is a for loop inside the script but I cannot use parfor because each iteration depends on the previous one.

MyProcessing.m

rng(1);
A = rand(5,5);
x =[];
y = []

% for loop
%   that updates x and y when necessary
% end for

figure(1);
scatter(x, y);
savefig(filename);

I have access to the Parallel Computing Toolbox in MATLAB but I cannot think on what I should do. I believe that I have to write another script to call the processing script with a different random seed but I want also the different processes to be run in parallel so that I can run many experiments.