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				蛋白质分子的“液-液相分离”是近几年生物物理学领域迅速发展起来的研究热点. 蛋白质相分离在一系列生物学过程中发挥着重要的作用. 蛋白质分子序列和构象的多样性和复杂性, 给蛋白质分子的理论研究、计算机模拟和实验研究都带来了巨大的挑战. 当前, 多尺度理论模型和多分辨率计算方法被广泛地用于蛋白质分子的“液-液相分离”的研究中. 本文将对蛋白质分子“液-液相分离”的理论基础和计算机模拟方法进行简要的综述, 并对这些理论和方法未来的发展趋势进行了初步的探讨和展望. 期望为进一步研究蛋白质“液-液相分离”的物理化学机制和过程提供理论基础和方法借鉴.Liquid-liquid phase separation (LLPS) of proteins is an emerging field in the research of biophysics. Many intrinsically disordered proteins (IDPs) are known to have the ability to assemble via LLPS and to organize into protein-rich and dilute phases both in vivo and in vitro. Such a kind of phase separation of proteins plays an important role in a wide range of cellular processes, such as the formation of membraneless organelles (MLOs), signaling transduction, intracellular organization, chromatin organization, etc. In recent years, there appeared a great number of theoretical analysis, computational simulation and experimental research focusing on the physical principles of LLPS. In this article, the theoretical and computational simulation methods for the LLPS are briefly reviewed. To elucidate the physical principle of LLPS and to understand the phase behaviors of the proteins, biophysicists have introduced the concepts and theories from statistical mechanics and polymer sciences. Flory-Huggins theory and its extensions, such as mean-field model, random phase approximation (RPA) and field theory simulations, can conduce to understanding the phase diagram of the LLPS. To reveal the hidden principles in the sequence-dependent phase behaviors of different biomolecular condensates, different simulation methods including lattice models, off-lattice coarse-grained models, and all-atom simulations are introduced to perform computer simulations. By reducing the conformational space of the proteins, lattice models can capture the key points in LLPS and simplify the computations. In the off-lattice models, a polypeptide can be coarse-grained as connected particles representing repeated short peptide fragments. All-atom simulations can describe the structure of proteins at a higher resolution but consume higher computation-power. Multi-scale simulation may provide the key to understanding LLPS at both high computational efficiency and high accuracy. With these methods, we can elucidate the sequence-dependent phase behaviors of proteins at different resolutions. To sum up, it is necessary to choose the appropriate method to model LLPS processes according to the interactions within the molecules and the specific phase behaviors of the system. The simulations of LLPS can facilitate the comprehensive understanding of the key features which regulate the membraneless compartmentalization in cell biology and shed light on the design of artificial cells and the control of neurodegeneration.- 
													Keywords:
													
- liquid-liquid phase separation /
- intrinsically disordered proteins /
- multivalent interaction /
- multi-scale simulation
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图 1 研究蛋白质“液-液相分离”的计算方法: 从左至右分别是解析模型、粗粒化模型(包括多个残基单个粒子、单个残基单个粒子、单个残基多个粒子的模型)和全原子模型, 分辨率的提升对计算资源的耗费程度急剧增高, 而模型假设数的减少会减弱研究涌现行为的能力[35] Fig. 1. Computational approaches utilized to study protein liquid-liquid phase separation (LLPS). From left to right are the analytical model, the coarse-grained model (multiple-residues per bead, single-bead per residue and multiple-beads per residue coarse-grained models), and all-atom model. High-resolution descriptions increase the computational cost of the simulations. All-atom model is often impractical for the study of emergent behavior of LLPS[35]. 
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[1] McCarty J, Delaney K T, Danielsen S P, Fredrickson G H, Shea J E 2019 J. Phys. Chem. Lett. 10 1644  Google Scholar Google Scholar[2] Lin Y H, Song J H, Forman-Kay J D, Chan H S 2017 J. Mol. Liq. 228 176  Google Scholar Google Scholar[3] Lin Y H, Song J H, Forman-Kay J D, Chan H S 2019 J. Mol. Liq. 273 676  Google Scholar Google Scholar[4] Dignon G L, Zheng W W, Kim Y C, Mittal J, Best R B 2018 Biophys. J. 114 431a  Google Scholar Google Scholar[5] Dignon G L, Zheng W W, Best R B, Mittal J 2017 Biophys. J. 112 200a [6] Choi J M, Mitrea D M, Stanley C B, Ruff K M, Holehouse A S, Kriwacki R W, Pappu R V 2019 Biophys. J. 116 349a  Google Scholar Google Scholar[7] Chin A F, Hilser V J, Zheng Y X 2019 Biophys. J. 116 179a  Google Scholar Google Scholar[8] 周丰茂, 孙东科, 朱鸣芳 2010 物理学报 59 3394  Google Scholar Google ScholarZhou F M, Sun D K, Zhu M F 2010 Acta Phys. Sin. 59 3394  Google Scholar Google Scholar[9] 张长胜, 来鲁华 2010 物理化学学报 36 1907053  Google Scholar Google ScholarZhang C S, Lai L H 2010 Acta Phys. Chim. Sin. 36 1907053  Google Scholar Google Scholar[10] Burke K A, Janke A M, Rhine C L, Fawzi N L 2015 Mol. Cell 60 231  Google Scholar Google Scholar[11] Brangwynne C P, Tompa P, Pappu R V 2015 Nat. Phys. 11 899  Google Scholar Google Scholar[12] Uversky V N 2017 Curr. Opin. Struct. Biol. 44 18  Google Scholar Google Scholar[13] Feric M, Vaidya N, Harmon T S, Mitrea D M, Zhu L, Richardson T M, Kriwacki R W, Pappu R V, Brangwynne C P 2016 Cell 165 1686  Google Scholar Google Scholar[14] Falahati H, Wieschaus E 2017 Proc. Natl. Acad. Sci. U.S.A. 114 1335  Google Scholar Google Scholar[15] Sabari B R, Dall'Agnese A, Boija A, Klein I A, Coffey E L, Shrinivas K, Abraham B J, Hannett N M, Zamudio A V, Manteiga J C, Li C H, Guo Y E, Day D S, Schuijers J, Vasile E, Malik S, Hnisz D, Lee T I, Cisse, I I, Roeder R G, Sharp P A, Chakraborty A K, Young R A 2018 Science 361 eaar3958  Google Scholar Google Scholar[16] Das R K, Pappu R V 2013 Proc. Natl. Acad. Sci. U.S.A. 110 13392  Google Scholar Google Scholar[17] Dignon G L, Zheng W W, Best R B, Kim Y C, Mittal J 2018 Proc. Natl. Acad. Sci. U.S.A. 115 9929  Google Scholar Google Scholar[18] Harmon T S, Holehouse A S, Rosen M K, Pappu R V 2017 ELIFE 6 e30294  Google Scholar Google Scholar[19] Kang W B, He C, Liu Z X, Wang J, Wang W 2019 J. Biomol. Struct. Dyn. 37 1956  Google Scholar Google Scholar[20] Lin Y, Currie S L, Rosen M K 2017 J. Biol. Chem. 292 19110  Google Scholar Google Scholar[21] Lin Y H, Brady J P, Forman-Kay J D, Chan H S 2017 New J. Phys. 19 115003  Google Scholar Google Scholar[22] Schuster B S, Dignon G, Jahnke C, Good M C, Hammer D A, Mittal J 2019 Biophys. J. 116 453a  Google Scholar Google Scholar[23] Smith J, Calidas D, Schmidt H, Lu T, Seydoux G 2016 ELIFE 5 e21337  Google Scholar Google Scholar[24] Uebel C J, Anderson D C, Mandarino L M, Manage K I, Aynaszyan S, Phillips C M 2018 Plos Genet. 14 e1007542  Google Scholar Google Scholar[25] 康文斌, 王骏, 王炜 2018 物理学报 67 058701  Google Scholar Google ScholarKang W B, Wang J, Wang W 2018 Acta Phys. Sin. 67 058701  Google Scholar Google Scholar[26] Pak C W, Kosno M, Holehouse A S, Padrick S B, Mittal A, A R, Yunus A A, Liu D R, Pappu R V, Rosen M K 2016 Mol. Cell 63 72  Google Scholar Google Scholar[27] Gates Z P, Baxa M C, Yu W, Riback J A, Li H, Roux B, Kent S B, Sosnick T R 2017 Proc. Natl. Acad. Sci. U.S.A. 114 2241  Google Scholar Google Scholar[28] Riback J A, Katanski C D, Kear-Scott J L, Pilipenko E V, Rojek A E, Sosnick T R, Drummond D A 2017 Cell 168 1028  Google Scholar Google Scholar[29] Das R K, Ruff K M, Pappu R V 2015 Curr. Opin. Struct. Biol. 32 102  Google Scholar Google Scholar[30] Vitalis A, Wang X, Pappu R V 2007 Biophys. J. 93 1923  Google Scholar Google Scholar[31] Papoian G A 2008 Proc. Natl. Acad. Sci. U. S. A. 105 14237  Google Scholar Google Scholar[32] Levine Z A, Shea J E 2017 Curr. Opin. Struct. Biol. 43 95  Google Scholar Google Scholar[33] Dignon G L, Zheng W, Kim Y C, Mittal J 2019 ACS Central Sci. 5 821  Google Scholar Google Scholar[34] Murthy A C, Dignon G L, Kan Y, Zerze G H, Parekh S H, Mittal J, Fawzi N L 2019 Nat. Struct. Mol. Biol. 26 637  Google Scholar Google Scholar[35] Ruff K M, Pappu R V, Holehouse A S 2019 Curr. Opin. Struct. Biol. 56 1  Google Scholar Google Scholar[36] Monahan Z, Ryan V H, Janke A M, Burke K A, Rhoads S N, Zerze G H, O'Meally R, Dignon G L, Conicella A E, Zheng W W, Best R B, Cole R N, Mittal J, Shewmaker F, Fawzi N L 2017 EMBO J. 36 2951  Google Scholar Google Scholar[37] Best R B 2017 Curr. Opin. Struct. Biol. 42 147  Google Scholar Google Scholar[38] Robustelli P, Piana S, Shaw D E 2018 Proc. Natl. Acad. Sci. U.S.A. 115 E4758  Google Scholar Google Scholar[39] van L R, Buljan M, Lang B, Weatheritt R J, Daughdrill G W, Dunker A K, Fuxreiter M, Gough J, Gsponer J, Jones D T, Kim P M, Kriwacki R W, Oldfield C J, Pappu R V, Tompa P, Uversky V N, Wright P E, Babu M M 2014 Chem. Rev. 114 6589  Google Scholar Google Scholar[40] Mittag T, Forman-Kay J D 2007 Curr. Opin. Struct. Biol. 17 3  Google Scholar Google Scholar[41] Flory P J 1942 J. Chem. Phys. 10 51  Google Scholar Google Scholar[42] Huggins M L 1942 J. Chem. Phys. 46 151  Google Scholar Google Scholar[43] Samanta H S, Zhuravlev P I, Hinczewski M, Hori N, Chakrabarti S, Thirumalai D 2017 Soft Matter 13 3622  Google Scholar Google Scholar[44] Zhou H X, Nguemaha V, Mazarakos K, Qin S B 2018 Trends Biochem. Sci. 43 499  Google Scholar Google Scholar[45] Lin Y H, Forman-Kay J D, Chan H S 2016 Phys. Rev. Lett. 117 178101  Google Scholar Google Scholar[46] Liu Y X, Zhang H D, Tong C H, Yang Y L 2011 Macromolecules 44 8261  Google Scholar Google Scholar[47] Speck T, Menzel A M, Bialke J, Lowen H 2015 J. Chem. Phys. 142 224109  Google Scholar Google Scholar[48] Burke M G, Woscholski R, Yaliraki S N 2003 Proc. Natl. Acad. Sci. U.S.A. 100 13928  Google Scholar Google Scholar[49] Ruff K M, Khan S J, Pappu R V 2014 Biophys. J. 107 1226  Google Scholar Google Scholar[50] Zuccato C, Valenza M, Cattaneo E 2010 Physiol. Rev. 90 905  Google Scholar Google Scholar[51] Condon J E, Martin T B, Jayaraman A 2017 Soft Matter 13 2907  Google Scholar Google Scholar[52] Dignon G L, Zheng W, Kim Y C, Best R B, Mittal J 2018 PLOS Comput. Biol. 14 e1005941  Google Scholar Google Scholar[53] Das S, Eisen A, Lin Y H, Chan H S 2018 J. Phys. Chem. B 122 5418  Google Scholar Google Scholar[54] Kapcha L H, Rossky P J 2014 J. Mol. Boil. 426 484  Google Scholar Google Scholar[55] Ashbaugh H S, Hatch H W 2008 J. Am. Chem. Soc. 130 9536  Google Scholar Google Scholar[56] Ghavami A, Veenhoff L M, van der Giessen E, Onck P R 2014 Biophys. J. 107 1393  Google Scholar Google Scholar[57] Borgia A, Borgia M B, Bugge K, Kissling V M, Heidarsson P O, Fernandes C B, Sottini A, Soranno A, Buholzer K J, Nettels D, Kragelund B B, Best R B, Schuler B 2018 Nature 555 61  Google Scholar Google Scholar[58] Wang J, Choi J M, Holehouse A S, Lee H O, Zhang X, Jahnel M, Maharana S, Lemaitre R, Pozniakovsky A, Drechsel D, Poser I, Pappu R V, Alberti S, Hyman A A 2018 Cell 174 688  Google Scholar Google Scholar[59] Song J, Gomes G N, Shi T, Gradinaru C C, Chan H S 2017 Biophys. J. 113 1012  Google Scholar Google Scholar[60] Noid W G 2013 J. Chem. Phys. 139 090901  Google Scholar Google Scholar[61] Voegler Smith A, Hall C K 2001 Proteins 44 344  Google Scholar Google Scholar[62] Marchut A J, Hall C K 2006 Biophys. J. 90 4574  Google Scholar Google Scholar[63] Marchut A J, Hall C K 2007 Proteins 66 96  Google Scholar Google Scholar[64] Nguyen H D, Hall C K 2006 J. Am. Chem. 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