Monte Carlo simulations of a stochastic process with position-dependent resetting inspired by backtracked RNA polymerases

Authors

Adriana Marie T. Salvador ⋅ PH National Institute of Physics, University of the Philippines Diliman
Jose Perico H. Esguerra ⋅ PH National Institute of Physics, University of the Philippines Diliman

Abstract

The transcription of the genetic code features a transcriptional proofreading mechanism that inactivates a biological random walker, which consequently does a random walk or stochastically resets its position to the elongation-competent state. In this text, we discuss the different statistical features of a walker that is (1) unbiased and can stochastically reset from anywhere in a discrete lattice, (2) forward-biased and can only reset from within a certain region in the lattice, and (3) backward-biased and is likewise constrained to reset from specified lattice positions. In particular, we compute recovery time distributions, mean recovery times, and an eventual recovery probability.

Downloads

Issue

2021: Proceedings of the 39th Samahang Pisika ng Pilipinas Physics Conference

Accelerating national progress via physics: From quantum to stellar and beyond
20-22 October 2021

Please visit the SPP2021 activity webpage for more information on this year's Physics Congress.

Article ID

SPP-2021-PB-05

Section

Poster Session B (Complex Systems, Photonics, and Interdisciplinary Topics)

Published

2021-10-03

How to Cite

[1]

AMT Salvador and JPH Esguerra, Monte Carlo simulations of a stochastic process with position-dependent resetting inspired by backtracked RNA polymerases, Proceedings of the Samahang Pisika ng Pilipinas 39, SPP-2021-PB-05 (2021). URL: https://proceedings.spp-online.org/article/view/SPP-2021-PB-05.