Modeling Balloon Physics

I am currently trying to model the way a balloon/inflated object/pillow would react to placing a solid object on top of it, similar to the pic attached. I really dont have any idea of where to start, I’ve been trying to look into using Kangaroo but most of the precedence I see relates to voronoi facades which is not exactly what im trying to do. If anyone has any examples I could look at or any starting point I would really appreciate it!!

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thank you! ill try this out

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