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The Differential Entropy of Mixtures: New Bounds and Applications

https://doi.org/10.1109/TIT.2022.3140661

Melbourne, James; Talukdar, Saurav; Bhaban, Shreyas; Madiman, Mokshay; Salapaka, Murti V. (April 2022, IEEE Transactions on Information Theory)

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Multimodal regulation of myosin VI ensemble transport by cargo adaptor protein GIPC

https://doi.org/10.1016/j.jbc.2022.101688

Rai, Ashim; Shrivastava, Rachit; Vang, Duha; Ritt, Michael; Sadler, Fredrik; Bhaban, Shreyas; Salapaka, Murti; Sivaramakrishnan, Sivaraj (March 2022, Journal of Biological Chemistry)

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Analysis of Heat Dissipation and Reliability in Information Erasure: A Gaussian Mixture Approach

https://doi.org/10.3390/e20100749

Talukdar, Saurav; Bhaban, Shreyas; Melbourne, James; Salapaka, Murti (October 2018, Entropy)

This article analyzes the effect of imperfections in physically realizable memory. Motivated by the realization of a bit as a Brownian particle within a double well potential, we investigate the energetics of an erasure protocol under a Gaussian mixture model. We obtain sharp quantitative entropy bounds that not only give rigorous justification for heuristics utilized in prior works, but also provide a guide toward the minimal scale at which an erasure protocol can be performed. We also compare the results obtained with the mean escape times from double wells to ensure reliability of the memory. The article quantifies the effect of overlap of two Gaussians on the the loss of interpretability of the state of a one bit memory, the required heat dissipated in partially successful erasures and reliability of information stored in a memory bit.
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