But where ever there is communication, abstractions are required to compose a coherent and persistent message. So DNA and proteins and even subatomic particles that entangle can be considered to be tapping into natures capacity to abstract, and to compute those abstractions.
And if you consider nothing exists in a void, and the innate connected-ness of an undivided and unabstracted universe as a whole, everything is coming and going; everything is itself a message and the subject of computation; and nature is engaged in a never ending conversation with none other than itself. If it's messages can be any size, and last however long, then you and I too are just one of its many messages.
(pardon the philosophy... stuck doing mundane work at midnight on a Friday... I had to write something)