Representing 3D contours - explained clearly

I have posted this question once before but this time have been advised to describe it with more detail.

The 3D data that I am trying to represent is here: http://mtthw.com/box.mat, it is a 3D matrix binary matrix.

In the matrix the 1's represent that the solubility of the object need to be changed, and the 0's represent that the solubility of the object should stay the same. I then apply an acid to the top and it propagates through the surface at a speed dependent upon how soluble the cell is.

After I run my algorithm, I get a set of times. Each of these times represents how long it takes for the acid to reach that point in the object, it is again a 3D matrix, but in each cell is a value that shows how long it took for the acid to reach that cell.

<a><http://www.aph.kit.edu/wegener/data/image/research/ebl.jpg</a>> If you look at this image, you can see what I mean. All that is important here is the second image and the last image, we are essentially going from one to the other, over time. So, I essentially need a contour graph, but in 3D that actually resembles the picture I've supplied. Is this possible?

There is some sample time data here: http://www.mtthw.net/sampletimes.mat

I have the same problem in 2D too, and kind of need it to work for that, but not as importantly as this. I have tried myself but I'm not 'that' experienced with Matlab.