Human fetus formation and development

Hi guys,I’m trying to make human fetus formation and development processes with Blender.the very initial development starts with a flat and round disc,the disk deforms like what you can see in thisblend file ,in the second stage,disc bends down from the tail and head as well as sides,it keeps bending until all sides (tail,head,and sides) join together and form the belly button.The question is that,how can you change the flat and round disk into a bent and pasted sides object.Remmember that I want to show this in a 20 sec more or less animation,if it was I it was not to be animated I could model it easily,but hard part is that I want to animate.Please help,any idea will be apriciated.:slight_smile: