Why does my model disappear?

I have a small object that I am modeling and when I zoom in close it appears that the model starts to disappear as I zoom in. Pics below. Why does this happen and how can I prevent it. Thanks!

You need to change the clipping distance. Try google or other engine searching like this <disappearing model site:http://blenderartists.org/forum> or <disappearing parts site:http://blenderartists.org/forum>