Phase separation of polymer-bound particles induced by loop-mediated 1D effective long-range interactions

Autor: David, G., Walter, J. -C., Broedersz, C. P., Dorignac, J., Geniet, F., Parmeggiani, A., Walliser, N. -O., Palmeri, J.
Rok vydání: 2018
Předmět:
Zdroj: Phys. Rev. Research 2, 033377 (2020)
Druh dokumentu: Working Paper
DOI: 10.1103/PhysRevResearch.2.033377
Popis: The cellular cytoplasm is organized into compartments. Phase separation is a simple manner to create membrane-less compartments in order to confine and localize particles like proteins. In many cases these particles are bound to fluctuating polymers like DNA or RNA. We propose a general theoretical framework for such polymer-bound particles and derive an effective 1D lattice gas model with both nearest-neighbor and emergent long-range interactions arising from looped configurations of the fluctuating polymer. We argue that 1D phase transitions exist in such systems for both Gaussian and self-avoiding polymers and, using a variational method that goes beyond mean-field theory, we obtain the complete mean occupation-temperature phase diagram. To illustrate this model we apply it to the biologically relevant case of ParABS, a prevalent bacterial DNA segregation system.
Comment: 6 pages, 2 figures
Databáze: arXiv