Olfactory receptor usage is highly non-uniform, with some receptor types being orders of magnitude more abundant than others. In mammals, the receptor neurons are replaced regularly, and the receptor distribution changes in response to olfactory experience. The observed changes are mysteriously context-dependent, with increased exposure to odorants leading variously to increased, decreased or unchanged abundance of activated receptors. We propose a theoretical model that explains these observations: the receptor distribution is tuned to efficiently encode information about the olfactory environment. This adaptation occurs before olfactory signals are decorrelated, leading to a new regime of efficient coding in which the optimal receptor distribution is sensitive to the global context of the correlatedresponses of all receptor types in the population. We demonstrate how this effect reproduces the context-dependence seen in experiments. We also show that the optimal receptor distribution can be achieved by following simple dynamical rules for neural birth and death processes  .
Olfactory receptor usage is highly non-uniform, with some receptor types being orders of magnitude more abundant than others. We propose an explanation for this striking fact: the receptor distribution is tuned to maximally represent information about the olfactory environment in a little-studied regime of efficient coding that is sensitive to the global context of correlated sensor responses. This model predicts further that in mammals, where olfactory sensory neurons are replaced regularly, receptor abundances should continuously adapt to odor statistics. Indeed, experiments have found such changes in response to olfactory experience. These changes are mysteriously context-dependent, with increased exposure to odorants leading variously to increased, decreased or unchanged abundances of activated receptors. We show that efficient coding theory predicts precisely such a context-dependence when sensors are correlated. Finally, we demonstrate simple dynamical rules for neural birth and death processes that might provide a mechanism for receptor abundances to adapt optimally .
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propose a theoretical model that explains these observations: the receptor distribution is tuned to efficiently encode information about the olfactory environment. This adaptation occurs before olfactory signals are decorrelated, leading to a new regime of efficient coding in which the optimal receptor distribution is sensitive to the global context of the correlatedresponses of all receptor types in the population. We demonstrate how this effect reproduces the
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