one option would be to have some to workspace blocks in the simulink file: Log data to workspace from Simulink model - Simulink - MathWorks Switzerland. You just connect them to the signal you want to log and upon simulation it will put the in the workspace in the format you choose (array, timeseries, struct,...).
Now you can store them in a variable and so update the app.
In pseudocode:
%let's say you placed a 'to workspace' block that gives you a struct 'out' with 3 signals 'a,b,c'
out=sim(<slxFileName>); %simulates and logs the signals in a variable
updateApp = plot (out.tout,out.a); %tout is the time of the simulation and will be logged in the struct automatically
The plot is just a simple example, you should use the now logged values in app functions as you prefer.
