i wonder if its the case that neurons are something of a Turing Tarpit doing something like implementing a Turing Machine but only using a limited number of op

i wonder if its the case that neurons are something of a Turing Tarpit doing something like implementing a Turing Machine but only using a limited number of operators other basic operation having to be implemented from the ones present (ie making a on XOR out of NAND gates for example) just highly optimized for a particular use-case.