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From a physics perspective the main factor here is "pressure differential". As long as the pressure inside the fish and outside is the same, there no pressure differential and therefor no net force on the shell of the fish and there is no crushing. So the key here is proper pressure equalization as the depth changes.


Start by assessing the relative importance of each $Q$ term. Assume some order of magnitude values for the unknowns (based on experience and/or intuition) and see how big $Q_{lin}$ is compared to e.g. $Q_s$. Do that for all $Q$ terms and hope some will be negligible so they can be discarded. My guess is that $Q_{lin}$ and $Q_e$ are insignificant. You are ...

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