Here's how i ended up doing it. Some of my cell references were a bit off, and the fullfile command helped.
axialList = dir('*_A_*');
for i = 1:length(axialList)
folders{i} = fullfile(axialList(i).folder,'\',axialList(i).name);
end
axialFiles = cell(length(axialList),1);
for i = 1:length(folders)
axialFiles{i} = fullfile(folders{i},'\specimen.dat');
end
Data = cell(1,length(axialFiles));
for i = 1:length(axialFiles)
fileID = fopen(axialFiles{i});
SortHeader = textscan(fileID,'%s',5,'delimiter','\n');
FormatString = repmat('%f',1,7);
Data{i} = textscan(fileID,FormatString,'delimiter','\t');
Data{i} = cell2mat(Data{i});
fclose(fileID);
end