I'm not even a cocktail biologist, but my understanding is cells effectively operate via a web of complex chemical reactions, so the notion of a cell holding primitive models might be analogous to the way a CPU executes an assembly instruction: not because it "thinks" but because the way it's wired it's (nearly - barring solar radiation, I suppose, which incidentally also goes for cells) inevitable that it will react to a stimulus in a predefined way (even though the way cells react to stimuli is far more advanced than a CPU).
In a similar way, "anticipating events" could involve an analogue to computer memory: the processes that have run so far have lead to certain state being saved to memory that will now influence how the system reacts to stimuli in a way that's different from how it reacted before (e.g. sum a value with the value stored in a register).