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Sprint then stop? Brain is wired for the math to make it happen

Your new apartment is just a couple of blocks down the street from the bus stop but today you are late and you see the bus roll past you. You break into a full sprint. Your goal is to get to the bus as fast as possible and then to stop exactly in front of the doors (which are never in exactly the same place along the curb) to enter before they close. To stop quickly and precisely enough, a new MIT study in mice finds, the mammalian brain is niftily wired to implement principles of calculus.

One might think that coming to a screeching halt at a target after a flat out run would be as simple as a reflex, but catching a bus or running right up to a visually indicated landmark to earn a water reward (as the mice did), is a learned, visually guided, goal-directed feat. In such tasks, which are a major interest in the lab of senior author Mriganka Sur, Newton Professor of Neuroscience in The Picower Institute for Learning and Memory at MIT, the crucial decision to switch from one behavior (running) to another (stopping) comes from the brain’s cortex, where the brain integrates the learned rules of life with sensory information to guide plans and actions.

“The goal is where the cortex comes in,” said Sur, a faculty member of MIT’s Department of Brain and Cognitive Sciences. “Where am I supposed to stop to achieve this goal of getting on the bus.”

And that’s also where it gets complicated. The mathematical models of the behavior that postdoc and study lead author Elie Adam developed predicted that a “stop” signal going directly from the M2 region of the cortex to regions in the brainstem, which actually control the legs, would be processed too slowly.

“You have M2 that is sending a stop signal, but when you model it and go through the mathematics, you find that this signal, by itself, would not be fast enough to make the animal stop in time,” said Adam, whose work appears in the journal Cell Reports.

So how does the brain speed up the process? What Adam, Sur and co-author Taylor Johns found was that M2 sends the signal to an intermediary region called the subthalamic nucleus (STN), which then sends out two signals down two separate paths that re-converge in the brainstem. Why? Because the difference made by those two signals, one inhibitory and one excitatory, arriving one right after the other turns the problem from one of integration, which is a relatively slow adding up of inputs, to differentiation, which is a direct recognition of change. The shift in calculus implements the stop signal much more quickly.

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