How do I load the names of all files from a directory so they can be run in order as part of a function?

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Hey peeps,
I'm new to MatLab and I'm lost. I'm attempting to load and create a cell that contains all the .txt files in a folder in order by name (x01.txt, x02.txt, x03.txt.......x10.txt, however long).
I'm trying to frame this as part of an answer to a prompt.
Once all are loaded, then I'm hoping to run those files in that cell as a function of another script. I realize this may not be the most efficient way of doing this, but it is simply how this task must get done.
EDIT: I cannot load all the files, they are too big. I just need a cell array that can be read so the files can be loaded and processed using 'my_script_that_totally_works.m' one at a time.
I also can't use uigetdir, because this has to be done on a remote linux computer withot a gui
%%selecting the files to be loaded
clc
clear
clear all
addpath(genpath('Y:\MYDIRECTORY\*.txt'));
prompt = 'Enter file directory (mmddyyyy_bin)';
filedirectory=input(prompt, 's')
files=dir('filedirectory\*.txt')
for i=1:length(files)
eval(['load' files(i).name'-ascii']);
end
%%The loop to run through all the files. The number of files are never the same, must be independant of length
for i=1:length(files)
my_script_that_totally_works.m
end

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