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Stochastic Assessment of Protein Databases by Generalized Entropy Measures

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Trends in Biomathematics: Modeling, Optimization and Computational Problems

Abstract

The organization of a sample space for studying the probability density functions whose temporal variation is able to describe the evolution of protein domains as registered in biological almanacs (protein databases) is done through two concurrent processes. The “poissonization” of a binomial process, and a multinomial process leading to a Gibbs–Shannon Entropy. The present approach is aimed to span the bridge across the difficulties of constructing a new theory which will be able to describe the function and evolution of protein families and their association into clans with the usual methods of Statistical Physics.

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Acknowledgements

S.C. de Albuquerque Neto thanks to the International Union of Biological Sciences (IUBS) for partial support of living expenses in Moscow, during the 17th BIOMAT International Symposium, October 29–November 04, 2017.

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Correspondence to R. P. Mondaini .

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Mondaini, R.P., de Albuquerque Neto, S.C. (2018). Stochastic Assessment of Protein Databases by Generalized Entropy Measures. In: Mondaini, R. (eds) Trends in Biomathematics: Modeling, Optimization and Computational Problems. Springer, Cham. https://doi.org/10.1007/978-3-319-91092-5_7

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