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Siddhartha G. Jena

Publications and source records attributed to Siddhartha G. Jena.

2 recordsLinked to original sources

Nucleosome simulations suggest mechanisms of electrostatically-driven mesoscale chromatin evolution

Nucleosomes are structures made up of proteins called histones that bind and compact DNA, driving the mesoscale organization of the chromatin polymer. Although histone proteins have diversified over evolutionary time, their contributions to the corresponding diversification of chromatin structure are poorly understood. Here, we mine protein databases for histones and create \emph{in silico} nucleosomes for 3241 organisms spanning $>$1.5B years of evolution. Using a combination of electrostatic calculations and coarse-grained molecular dynamics simulations, we reveal extensive biophysical diversification of the nucleosome unit. Finally, we perform coarse-grained oligonucleosomal simulations on a subset of evolutionarily and biophysically divergent nucleosomes, demonstrating dramatic differences in bulk phase behavior of chromatin. Taken together, our results suggest a paradigm in which histones may have evolved to facilitate particular types of mesoscale chromatin behavior.

cond-mat.soft↗

Restricted Positional Games

A positional game is a game where two players sequentially label vertices of a hypergraph, consisting of a board and a collection of winning sets, with colors assigned to each player until all vertices of the board are claimed. The first player to claim all elements of a winning set wins. If no player claims all the elements of a winning set, then the game results in a draw. One such example of a positional game is Tic-Tac-Toe, where the board is the 3-by-3 grid. The popular game of Connect-4 is an example of what we define to be a "restricted positional game". Here, we introduce another example of a restricted positional game, Connect-Tac-Toe, which additionally has the influence of gravity-like restrictions to affect what plays are possible. It is a generalization of the Connect-4 game for the hypercube. We define a variant of the Hales-Jewett number for this game as a way to classify its restrictiveness and provide a logarithmic lower bound for this number.

math.CO↗