Atomistic modeling of liquid-liquid phase equilibrium explains dependence of critical temperature on γ-crystallin sequence

Liquid-liquid phase separation of protein solutions has regained heightened attention for its biological importance and pathogenic relevance. Coarse-grained models are limited when explaining residue-level effects on phase equilibrium. Here we report phase diagrams for γ-crystallins using atomistic modeling. The calculations were made possible by combining our FMAP method for computing chemical potentials and Brownian dynamics simulations for configurational sampling of dense protein solutions, yielding the binodal and critic temperature (Tc). We obtain a higher Tc for a known high-Tc γ-crystallin, γF, than for a low-Tc paralog, γB. The difference in Tc is corroborated by a gap in second virial coefficient. Decomposition of inter-protein interactions reveals one amino-acid substitution between γB and γF, from Ser to Trp at position 130, as the major contributor to the difference in Tc. This type of analysis enables us to link phase equilibrium to amino-acid sequence and to design mutations for altering phase equilibrium.

[1]  Huan-Xiang Zhou Power law in a bounded range: Estimating the lower and upper bounds from sample data. , 2023, Journal of Chemical Physics.

[2]  Huan‐Xiang Zhou Power Law in a Bounded Range: Estimating the Lower and Upper Bounds from Sample Data , 2023, arXiv.org.

[3]  Jerelle A. Joseph,et al.  Physics-driven coarse-grained model for biomolecular phase separation with near-quantitative accuracy , 2021, Nature Computational Science.

[4]  K. Lindorff-Larsen,et al.  Accurate model of liquid–liquid phase behavior of intrinsically disordered proteins from optimization of single-chain properties , 2021, Proceedings of the National Academy of Sciences.

[5]  Huan‐Xiang Zhou,et al.  Shear relaxation governs fusion dynamics of biomolecular condensates , 2021, Nature Communications.

[6]  R. Pappu,et al.  Sequence grammar underlying the unfolding and phase separation of globular proteins. , 2022, Molecular cell.

[7]  Huan‐Xiang Zhou,et al.  Characterizing protein kinase A (PKA) subunits as macromolecular regulators of PKA RIα liquid-liquid phase separation. , 2021, Journal of Chemical Physics.

[8]  R. Pappu,et al.  Deciphering how naturally occurring sequence features impact the phase behaviors of disordered prion-like domains , 2021, bioRxiv.

[9]  H. Chan,et al.  Comparative roles of charge, π, and hydrophobic interactions in sequence-dependent phase separation of intrinsically disordered proteins , 2020, Proceedings of the National Academy of Sciences.

[10]  R. Pappu,et al.  Valence and patterning of aromatic residues determine the phase behavior of prion-like domains , 2020, Science.

[11]  S. Alberti,et al.  Liquid-Liquid Phase Separation in Disease. , 2019, Annual review of genetics.

[12]  Huan‐Xiang Zhou,et al.  Calculation of Second Virial Coefficients of Atomistic Proteins Using Fast Fourier Transform. , 2019, The journal of physical chemistry. B.

[13]  Huan‐Xiang Zhou,et al.  Transfer Free Energies of Test Proteins Into Crowded Protein Solutions Have Simple Dependence on Crowder Concentration , 2019, Front. Mol. Biosci..

[14]  H. Chan,et al.  Pressure-Sensitive and Osmolyte-Modulated Liquid-Liquid Phase Separation of Eye-Lens γ-Crystallins. , 2019, Journal of the American Chemical Society.

[15]  D. Tobias,et al.  Role of Conformational Flexibility in Monte Carlo Simulations of Many-Protein Systems. , 2019, Journal of chemical theory and computation.

[16]  Rachel W. Martin,et al.  Controlling Liquid-Liquid Phase Separation of Cold-Adapted Crystallin Proteins from the Antarctic Toothfish. , 2018, Journal of molecular biology.

[17]  Wenwei Zheng,et al.  Relation between single-molecule properties and phase behavior of intrinsically disordered proteins , 2018, Proceedings of the National Academy of Sciences.

[18]  Charles H. Li,et al.  Mediator and RNA polymerase II clusters associate in transcription-dependent condensates , 2018, Science.

[19]  Huan‐Xiang Zhou,et al.  Why Do Disordered and Structured Proteins Behave Differently in Phase Separation? , 2018, Trends in biochemical sciences.

[20]  R. Pappu,et al.  A Molecular Grammar Governing the Driving Forces for Phase Separation of Prion-like RNA Binding Proteins , 2018, Cell.

[21]  A. Hyman,et al.  Different Material States of Pub1 Condensates Define Distinct Modes of Stress Adaptation and Recovery. , 2018, Cell reports.

[22]  Roland L. Dunbrack,et al.  The Rosetta all-atom energy function for macromolecular modeling and design , 2017, bioRxiv.

[23]  Huan‐Xiang Zhou,et al.  Fast Method for Computing Chemical Potentials and Liquid-Liquid Phase Equilibria of Macromolecular Solutions. , 2016, The journal of physical chemistry. B.

[24]  Corinne Jud,et al.  Extended Law of Corresponding States Applied to Solvent Isotope Effect on a Globular Protein. , 2016, The journal of physical chemistry letters.

[25]  Stefan Richter,et al.  SDA 7: A modular and parallel implementation of the simulation of diffusional association software , 2015, J. Comput. Chem..

[26]  K. Dill,et al.  Protein aggregation in salt solutions , 2015, Proceedings of the National Academy of Sciences.

[27]  J. King,et al.  The βγ-crystallins: native state stability and pathways to aggregation. , 2014, Progress in biophysics and molecular biology.

[28]  Huan-Xiang Zhou,et al.  Further Development of the FFT-based Method for Atomistic Modeling of Protein Folding and Binding under Crowding: Optimization of Accuracy and Speed , 2014, Journal of chemical theory and computation.

[29]  Hue Sun Chan,et al.  Polycation-π Interactions Are a Driving Force for Molecular Recognition by an Intrinsically Disordered Oncoprotein Family , 2013, PLoS Comput. Biol..

[30]  Huan-Xiang Zhou,et al.  An FFT-based method for modeling protein folding and binding under crowding: benchmarking on ellipsoidal and all-atom crowders. , 2013, Journal of chemical theory and computation.

[31]  P. Schurtenberger,et al.  Phase separation in binary eye lens protein mixtures , 2011 .

[32]  Jan H. Jensen,et al.  PROPKA3: Consistent Treatment of Internal and Surface Residues in Empirical pKa Predictions. , 2011, Journal of chemical theory and computation.

[33]  A. Pande,et al.  Cataract-associated mutant E107A of human γD-crystallin shows increased attraction to α-crystallin and enhanced light scattering , 2010, Proceedings of the National Academy of Sciences of the United States of America.

[34]  G. Benedek,et al.  Phase behavior of mixtures of human lens proteins Gamma D and Beta B1 , 2010, Proceedings of the National Academy of Sciences.

[35]  Julie C. Mitchell Sampling Rotation Groups by Successive Orthogonal Images , 2007, SIAM J. Sci. Comput..

[36]  Conrad C. Huang,et al.  UCSF Chimera—A visualization system for exploratory research and analysis , 2004, J. Comput. Chem..

[37]  Nathan A. Baker,et al.  PDB2PQR: an automated pipeline for the setup of Poisson-Boltzmann electrostatics calculations , 2004, Nucleic Acids Res..

[38]  Julie D Thompson,et al.  Multiple Sequence Alignment Using ClustalW and ClustalX , 2003, Current protocols in bioinformatics.

[39]  Nathan A. Baker,et al.  Electrostatics of nanosystems: Application to microtubules and the ribosome , 2001, Proceedings of the National Academy of Sciences of the United States of America.

[40]  H. Lekkerkerker,et al.  Predicting the gas-liquid critical point from the second virial coefficient , 2000 .

[41]  J. King,et al.  Molecular basis of a progressive juvenile-onset hereditary cataract. , 2000, Proceedings of the National Academy of Sciences of the United States of America.

[42]  D. A. Dougherty,et al.  Cation-π interactions in structural biology , 1999 .

[43]  R. E. Hay,et al.  Towards a molecular understanding of phase separation in the lens: a comparison of the X-ray structures of two high Tc gamma-crystallins, gammaE and gammaF, with two low Tc gamma-crystallins, gammaB and gammaD. , 1998, Experimental eye research.

[44]  R. E. Hay,et al.  Towards a molecular understanding of phase separation in the lens: a comparison of the X-ray structures of two high Tc γ-crystallins, γE and γF, with two low Tc γ-crystallins, γB and γD , 1997 .

[45]  Roland L. Dunbrack,et al.  Bayesian statistical analysis of protein side‐chain rotamer preferences , 1997, Protein science : a publication of the Protein Society.

[46]  P. Lindley,et al.  An eye lens protein-water structure: 1.2 A resolution structure of gammaB-crystallin at 150 K. , 1996, Acta crystallographica. Section D, Biological crystallography.

[47]  Rebecca C. Wade,et al.  Effective Charges for Macromolecules in Solvent , 1996 .

[48]  K. Ghiggino,et al.  Probing the microenvironments of tryptophan residues in the monomeric crystallins of the bovine lens. , 1994, Biochimica et biophysica acta.

[49]  G. Benedek,et al.  Binary-liquid phase separation of lens protein solutions. , 1991, Proceedings of the National Academy of Sciences of the United States of America.

[50]  W. Lo Visualization of crystallin droplets associated with cold cataract formation in young intact rat lens. , 1989, Proceedings of the National Academy of Sciences of the United States of America.

[51]  H. G. Petersen,et al.  Error estimates on averages of correlated data , 1989 .

[52]  D. Moss,et al.  Packing interactions in the eye-lens. Structural analysis, internal symmetry and lattice interactions of bovine gamma IVa-crystallin. , 1989, Journal of molecular biology.

[53]  R. Siezen,et al.  Rat lens gamma-crystallins. Characterization of the six gene products and their spatial and temporal distribution resulting from differential synthesis. , 1988, Journal of molecular biology.

[54]  P. Schurtenberger,et al.  Binary liquid phase separation and critical phenomena in a protein/water solution. , 1987, Proceedings of the National Academy of Sciences of the United States of America.

[55]  L. Tsui,et al.  Gamma-crystallins of the human eye lens: expression analysis of five members of the gene family , 1987, Molecular and cellular biology.

[56]  J. T. Dunnen,et al.  Concerted and divergent evolution within the rat γ-crystallin gene family , 1986 .

[57]  R. Siezen,et al.  Opacification of gamma-crystallin solutions from calf lens in relation to cold cataract formation. , 1985, Proceedings of the National Academy of Sciences of the United States of America.

[58]  L T Chylack,et al.  Phase separation of a protein-water mixture in cold cataract in the young rat lens. , 1977, Science.

[59]  R. Grantham Amino Acid Difference Formula to Help Explain Protein Evolution , 1974, Science.

[60]  B. Widom,et al.  Some Topics in the Theory of Fluids , 1963 .

[61]  Huan‐Xiang Zhou,et al.  Calculating Binodals and Interfacial Tension of Phase-Separated Condensates from Molecular Simulations with Finite-Size Corrections. , 2023, Methods in molecular biology.