Mean field study of a propagation-turnover lattice model for the dynamics of histone marking
| العنوان: | Mean field study of a propagation-turnover lattice model for the dynamics of histone marking |
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| المؤلفون: | Fan Yao, TieJun Li, FangTing Li |
| المصدر: | Science China Physics, Mechanics & Astronomy. 60 |
| بيانات النشر: | Springer Science and Business Media LLC, 2016. |
| سنة النشر: | 2016 |
| مصطلحات موضوعية: | 0301 basic medicine, Physics, Phase transition, Kinetics, Nucleation, General Physics and Astronomy, 03 medical and health sciences, Boundary layer, 030104 developmental biology, Mean field theory, Contact process (mathematics), Domain (ring theory), Statistical physics, Lattice model (physics) |
| الوصف: | We present a mean field study of a propagation-turnover lattice model, which was proposed by Hodges and Crabtree [Proc. Nat. Acad. Sci. 109, 13296 (2012)] for understanding how posttranslational histone marks modulate gene expression in mammalian cells. The kinetics of the lattice model consists of nucleation, propagation and turnover mechanisms, and exhibits second-order phase transition for the histone marking domain. We showed rigorously that the dynamics essentially depends on a non-dimensional parameter κ = k +/k −, the ratio between the propagation and turnover rates, which has been observed in the simulations. We then studied the lowest order mean field approximation, and observed the phase transition with an analytically obtained critical parameter. The boundary layer analysis was utilized to investigate the structure of the decay profile of the mark density. We also studied the higher order mean field approximation to achieve sharper estimate of the critical transition parameter and more detailed features. The comparison between the simulation and theoretical results shows the validity of our theory. |
| تدمد: | 1869-1927 1674-7348 |
| الوصول الحر: | https://explore.openaire.eu/search/publication?articleId=doi_________::096df62213fa9dbfd120e52abac18e30Test https://doi.org/10.1007/s11433-016-0359-1Test |
| حقوق: | CLOSED |
| رقم الانضمام: | edsair.doi...........096df62213fa9dbfd120e52abac18e30 |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 18691927 16747348 |
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