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There is a long history of attempts at replicating neural systems either in software or in conventional semiconductors, such as the FACETS project (not to mention the creation of conventional logic gates from lab-grown biological neurons!) According to a USC Viterbi news release, researchers at the BioRC project, whose goal is research on an artificial cortex, have succeeded in creating a functioning synapse from carbon nanotubes. The new research was presented by Alice C. Parker in the paper "A biomimetic fabricated carbon nanotube synapse for prosthetic applications" at the Life Science Systems and Applications Workshop in April 2011. (unfortunately the actual paper is behind a paywall but the abstract is readable). An earlier paper, "A Biomimetic Carbon Nanotube Synapse Circuit", describes the proposed design of synapse including schematics and comparison with biological neural

Scientists have great expectations that nanotechnologies will bring them closer to the goal of creating computer systems that can simulate and emulate the brain's abilities for sensation, perception, action, interaction and cognition while rivaling its low power consumption and compact size. DARPA for instance, the U.S. military's research outfit known for projects that are pushing the envelope on what is technologically possible, has a program called SyNAPSE that is trying to develop electronic neuromorphic machine technology that scales to biological levels. Started in late 2008 and funded with $4.9 million, the goal of the initial phase of the SyNAPSE project is to "develop nanometer scale electronic synaptic components capable of adapting the connection strength between two neurons in a manner analogous to that seen in biological systems, as well as, simulate the utility of these synaptic components in core microcircuits that support the overall system architecture."

Tilikum the killer whale (Orcinus orca) made news recently in the tragic death of his Sea World trainer, Dawn Brancheau. Tilikum pulled Brancheau into the water when he grabbed her floating ponytail — much like a cat might grab yarn attached to a stick. Complex play behavior is a sign of intelligence, but unfortunately little is known of the circuitry of even a cat’s brain, much less the massive brain of an orca — roughly four times the size of a human brain. See Also The Race to Reverse Engineer the Human Brain Ray Kurzweil Interview Brain on a Chip MIT neuroscientists are developing computerized techniques to map the millions of miles of neuronal circuits in the brain that may one day shed some light on the differences between Homo sapiens sapiens and other species, and will likely clarify how those neurons give rise to intelligence, personality, and memory. Developing connectomes (maps of neurons and synapses) may have just as much impact as sequencing the human genome. Here’s a video showing 3D rotating nodes and edges in a small connectome: