I think what you're looking for is called meta-particles or meta-balls. I think that by adjusting thresold function you can get cell-divide effect, but this isn't guaranteed - metaballs normally look more like quicksilver and are used to create water out of particles.
They're hard to implement in 3d for a novice - you'll need to be able to make triangular mesh out of mathematically-defined surface (marching cubes algorithm), and result isn't guaranteed to be fully realistic.
I suggest to try something else or use some cheaper way - draw two seme-transparent spheres on top of each other then move them apart or something like that.
Of course, certain way to get desired result is to use modeling package (like blender) and skilled artist, but displaying modeled result in your application will be difficult, because object topology will be changing every frame, plus making satisfactory result will take time and skill.
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