| Abstract | Mammalian sensory system neurons exhibit many different stimulus-induced responses. These response patterns can often be characterized as On, Off, or Mixed, where the Mixed response is a combination of the On and Off patterns. A single cell model that can reproduce these ubiquitous stimulus-response patterns is developed and examined using leading order analyses and averaging. The model consists of four coupled first-order nonlinear differential equations describing the dynamics of the membrane potential of the cell. The fast and slow dynamics of the model are explored and pieced together to describe the overall cycle of the solution patterns. For a certain class of inputs, this analysis is then used to determine appropriate durations that can guarantee Mixed-responses. By changing the fast subsystem structure, many different types of responses can also be reproduced. |
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