This will be fairly tutorial and aim to accessibly describe progress on a theory of network architecture relevant to neuroscience, biology, medicine and technology (particularly SDN/NFV and cyberphysical systems), initially focusing on the common motivations from these subjects. Key ideas are motivated by familiar examples from neuroscience, including live demos using audience brains, and further illustrated with examples from technology and biology. The status of the necessary math will be sketched in as much detail as time permits.