Forcing out(blood, etc.) from its vessel

One word substitute is Extravasate.

Extrapolate: extend the application of (a method or conclusion) to an unknown situation by assuming that existing trends will continue or similar methods will be applicable.
Extravasate: let or force out (a fluid, especially blood) from the vessel that contains it into the surrounding area.
Exuberate: full of energy, excitement, and cheerfulness.
Extricate: free (someone or something) from a constraint or difficulty.