Designing optimal stimuli to control neuronal spike timing
We develop fast methods for optimal control of spike times by stimulating neurons. We
adopt an approach based on models which describe how a stimulating agent (such as an
injected electrical current, or a laser light interacting with caged neurotransmitters or pho-
tosensitive ion channels) affect the spiking activity of neurons. Based on these models, we
solve the reverse problem of finding the best time-dependent modulation of the input, sub-
ject to hardware limitations as well as physiologically inspired safety measures, that makes
the neuron emit a spike train which with highest probability will be close to a target spike
train. We adopt fast convex constrained optimization methods to solve this problem. Our
methods can potentially be implemented in real time and are also generalizable to the case
of many cells, suitable for neural prosthesis applications. Using biologically sensible param-
eters and constraints, our method finds stimulation patterns that generate very precise spike
trains in simulated experiments. We also tested the intracellular current injection method
on pyramidal cells in mouse cortical slices, achieving sub-milisecond spike timing precision
and high reliability with constrained currents.
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