It is the same formula that would be used to calculate water pressure due to heating expansion in a closed pipe. You need the CTE of the liquid and the metal containment, the bulk modulus of the liquid, and the modulus of the metal container. With piping this calculation is done frequently. The issue with silicone is that it is used to apply pressure for making composite parts, so there is always some significant compaction occurring. This behaves as a random void or air bubble in a water pipe, which completely overwhelms all the other factors in the equation. You may as well use a tiny piston pump to apply pressure so you can control it precisely. Pressure gauges rely on the expansion of a Bourdon tube. This change in volume will affect the ultimate pressure.