If I had a penny everytime a system's book/teacher said "systems are like living cells, they have interaction to themselves and the medium"...
Computation started at the Jacquard loom, so engineers have a tradition of seeing it as a machine crunching patterns.
But computers science, just like math, is a language so its deeply grounded in semantics. And semantics grow and evolve from the actions of each individual speaker, without a central processing unit controlling the process, so "organic" is a good way to describe it.