Dense Liquid Precursor for the Nucleation of Ordered Solid Phases from Solution, Crystal Growth and Design

A line of recent theories and simulations have suggested that the nucleation of protein crystals might, under certain conditions, proceed in two steps:  the formation of a droplet of a dense liquid, metastable with respect to the crystalline state, followed by ordering within this droplet to produce a crystal. In this review, I discuss experimental tests of the applicability of this mechanism to the nucleation of ordered solid phases:  crystals or linear, planar, branched, or otherwise ordered aggregates of proteins and small molecule materials from solution. The main arguments stem from recent results on the kinetics of homogeneous nucleation of crystals of the protein lysozyme. These results indicate that under a very broad range of conditions the nucleation of lysozyme crystals occurs via a modification of the theoretically postulated mechanismas a superposition of fluctuations along the order parameters density and structure. Depending on whether the system is above or below its liquid−liquid coexiste...

[1]  Crystal properties and nucleation kinetics from aqueous solutions of Na2CO3 and Na2SO4 , 2001 .

[2]  K. Schweizer,et al.  Microscopic theory of polymer-mediated interactions between spherical particles , 1998 .

[3]  Poon,et al.  Phase behavior of a model colloid-polymer mixture. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[4]  Andrew Schofield,et al.  Real-Space Imaging of Nucleation and Growth in Colloidal Crystallization , 2001, Science.

[5]  G. Feher,et al.  On the crystallization of proteins. , 1978, Journal of molecular biology.

[6]  Robin Ball,et al.  Metastable states and the kinetics of colloid phase separation , 1999 .

[7]  V. Stojanoff,et al.  Repartitioning of NaCl and protein impurities in lysozyme crystallization. , 1996, Acta crystallographica. Section D, Biological crystallography.

[8]  R. Davey,et al.  Solution crystallisation via a submerged liquid-liquid phase boundary: oiling out. , 2003, Chemical communications.

[9]  Arjun G. Yodh,et al.  ENTROPIC COLLOIDAL INTERACTIONS IN CONCENTRATED DNA SOLUTIONS , 1998 .

[10]  P. Vekilov,et al.  Are Nucleation Kinetics of Protein Crystals Similar to Those of Liquid Droplets , 2000 .

[11]  P. L. San Biagio,et al.  Spinodal lines and Flory-Huggins free-energies for solutions of human hemoglobins HbS and HbA. , 1991, Biophysical journal.

[12]  G. Benedek,et al.  Aeolotopic interactions of globular proteins. , 1999, Proceedings of the National Academy of Sciences of the United States of America.

[13]  Oleg Galkin,et al.  On the Methods of Determination of Homogeneous Nucleation Rates of Protein Crystals , 2003 .

[14]  Benedek,et al.  Phase Diagram of Colloidal Solutions. , 1996, Physical review letters.

[15]  E. Hahn,et al.  SICKLE CELL ANEMIA: REPORT OF A CASE GREATLY IMPROVED BY SPLENECTOMY. EXPERIMENTAL STUDY OF SICKLE CELL FORMATION , 1927 .

[16]  R. Briehl,et al.  Kinetics of hemoglobin S polymerization and gelation under shear: I. Shape of the viscosity progress curve and dependence of delay time and reaction rate on shear rate and temperature. , 1993, Blood.

[17]  A. Laaksonen,et al.  Nucleation: measurements, theory, and atmospheric applications. , 1995, Annual review of physical chemistry.

[18]  C. Nanev,et al.  Nucleation of lysozyme crystals under external electric and ultrasonic fields , 2001 .

[19]  Wilson C. K. Poon,et al.  Gelation in colloid–polymer mixtures , 1995 .

[20]  A. Myerson,et al.  Polarization switching of crystal structure in the nonphotochemical light-induced nucleation of supersaturated aqueous glycine solutions. , 2002, Physical review letters.

[21]  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.

[22]  N. Chayen Crystallization with oils: a new dimension in macromolecular crystal growth , 1999 .

[23]  R. Nagel,et al.  Liquid–liquid separation in solutions of normal and sickle cell hemoglobin , 2002, Proceedings of the National Academy of Sciences of the United States of America.

[24]  D. Kashchiev Thermodynamically consistent description of the work to form a nucleus of any size , 2003 .

[25]  B. J. Ostermier,et al.  Diffusion Cloud‐Chamber Investigation of Homogeneous Nucleation , 1967 .

[26]  D. Kirschner,et al.  On the nucleation and growth of amyloid beta-protein fibrils: detection of nuclei and quantitation of rate constants. , 1996, Proceedings of the National Academy of Sciences of the United States of America.

[27]  D. Oxtoby Materials chemistry: Crystals in a flash , 2002, Nature.

[28]  P. Vekilov,et al.  Control of protein crystal nucleation around the metastable liquid-liquid phase boundary. , 2000, Proceedings of the National Academy of Sciences of the United States of America.

[29]  K. Gekko,et al.  Mechanism of protein stabilization by glycerol: preferential hydration in glycerol-water mixtures. , 1981, Biochemistry.

[30]  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.

[31]  Dimiter N. Petsev,et al.  Thermodynamic Functions of Concentrated Protein Solutions from Phase Equilibria , 2003 .

[32]  P. Vekilov,et al.  Miniaturized Scintillation Technique for Protein Solubility Determinations , 1999 .

[33]  Broide,et al.  Using phase transitions to investigate the effect of salts on protein interactions. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[34]  E. Snell,et al.  The effect of temperature and solution pH on the nucleation of tetragonal lysozyme crystals. , 1999, Biophysical journal.

[35]  P. Vekilov,et al.  Direct Determination of the Nucleation Rates of Protein Crystals , 1999 .

[36]  M. Malfois,et al.  Proteins in solution : from X-ray scattering intensities to interaction potentials , 1999 .

[37]  Fumio Oosawa,et al.  Interaction between particles suspended in solutions of macromolecules , 1958 .

[38]  F. Rosenberger,et al.  Interactions in undersaturated and supersaturated lysozyme solutions: Static and dynamic light scattering results , 1995 .

[39]  A. McPherson,et al.  Light scattering investigations of protein and virus crystal growth: ferritin, apoferritin and satellite tobacco mosaic virus , 1993 .

[40]  Zamora,et al.  Phase behavior of small attractive colloidal particles. , 1996, Physical review letters.

[41]  A. Milchev Electrochemical phase formation on a foreign substrate—basic theoretical concepts and some experimental results , 1991 .

[42]  D. Oxtoby Homogeneous nucleation: theory and experiment , 1992 .

[43]  George B. Benedek,et al.  Temperature dependence of amyloid β-protein fibrillization , 1998 .

[44]  Gregory K. Schenter,et al.  Dynamical Nucleation Theory: A New Molecular Approach to Vapor-Liquid Nucleation , 1999 .

[45]  M. Pusey,et al.  The Effect of Solution Thermal History on Chicken Egg White Lysozyme Nucleation , 2001 .

[46]  A. Minton Non-ideality and the thermodynamics of sickle-cell hemoglobin gelation. , 1977, Journal of molecular biology.

[47]  David Turnbull,et al.  Rate of Nucleation in Condensed Systems , 1949 .

[48]  D. Oxtoby Nucleation of First-Order Phase Transitions , 1998 .

[49]  R. Nagel,et al.  Intermolecular interactions, nucleation, and thermodynamics of crystallization of hemoglobin C. , 2002, Biophysical journal.

[50]  Franz Rosenberger,et al.  Liquid-Liquid Phase Separation in Supersaturated Lysozyme Solutions and Associated Precipitate Formation/Crystallization , 1997 .

[51]  C. Zukoski,et al.  DEPLETION INTERACTIONS IN THE PROTEIN LIMIT : EFFECTS OF POLYMER DENSITY FLUCTUATIONS , 1999 .

[52]  Allan S. Myerson,et al.  A statistical understanding of nucleation , 1999 .

[53]  R. Sear Phase behavior of a simple model of globular proteins , 1999, cond-mat/9904426.

[54]  L. Bartell,et al.  Electron diffraction studies of the kinetics of phase changes in molecular clusters: freezing of carbon tetrachloride in supersonic flow , 1991 .

[55]  A. Klibanov,et al.  Correct protein folding in glycerol. , 1997, Proceedings of the National Academy of Sciences of the United States of America.

[56]  P. Vachette,et al.  Spherical plant viruses: interactions in solution, phase diagrams and crystallization of brome mosaic virus. , 2001, Acta Crystallographica Section D: Biological Crystallography.

[57]  Michael Farnum,et al.  Effect of glycerol on the interactions and solubility of bovine pancreatic trypsin inhibitor. , 1999, Biophysical journal.

[58]  S. Arnold,et al.  Convertible electrodynamic levitator trap to quasielectrostatic levitator for microparticle nucleation studies , 1999 .

[59]  J. E. Hilliard,et al.  Free Energy of a Nonuniform System. I. Interfacial Free Energy , 1958 .

[60]  Vicente A Talanquer,et al.  Crystal nucleation in the presence of a metastable critical point , 1998 .

[61]  D. Kashchiev On the relation between nucleation work, nucleus size, and nucleation rate , 1982 .

[62]  J. King,et al.  Enhanced crystallization of the Cys18 to Ser mutant of bovine gammaB crystallin. , 2001, Journal of molecular biology.

[63]  J. Drenth,et al.  The Interface between a Protein Crystal and an Aqueous Solution and Its Effects on Nucleation and Crystal Growth , 2000 .

[64]  J. Katz,et al.  Condensation of a supersaturated vapor. VIII. The homogeneous nucleation of n‐nonane , 1989 .

[65]  C. Hall,et al.  Phase separations induced in aqueous colloidal suspensions by dissolved polymer , 1983 .

[66]  Kenji Watanabe,et al.  Effects of a magnetic field on the nucleation and growth of protein crystals , 1997 .

[67]  D. Frenkel,et al.  Enhancement of protein crystal nucleation by critical density fluctuations. , 1997, Science.

[68]  D. Frenkel,et al.  The role of long-range forces in the phase behavior of colloids and proteins , 1999, cond-mat/9909222.

[69]  D. Frenkel,et al.  Does C60 have a liquid phase? , 1993, Nature.

[70]  A. McPherson,et al.  Light-scattering investigations of nucleation processes and kinetics of crystallization in macromolecular systems. , 1994, Acta crystallographica. Section D, Biological crystallography.

[71]  R. Sousa Use of glycerol, polyols and other protein structure stabilizing agents in protein crystallization. , 1995, Acta crystallographica. Section D, Biological crystallography.

[72]  I. Weissbuch,et al.  Toward Stereochemical Control, Monitoring, and Understanding of Crystal Nucleation , 2003 .

[73]  D. Oxtoby,et al.  A general relation between the nucleation work and the size of the nucleus in multicomponent nucleation , 1994 .

[74]  Marc L. Pusey,et al.  The solubility of the tetragonal form of hen egg white lysozyme from pH 4.0 to 5.4 , 1991 .

[75]  C. Hall,et al.  Theory of precipitation of protein mixtures by nonionic polymer , 1992 .

[76]  Shinji Saito,et al.  Molecular dynamics simulation of the ice nucleation and growth process leading to water freezing , 2002, Nature.

[77]  A. McPherson,et al.  The liquid protein phase in crystallization : a case study : intact immunoglobulins , 2001 .

[78]  H. Lekkerkerker,et al.  Insights into phase transition kinetics from colloid science , 2002, Nature.

[79]  M. Rice,et al.  Correction of the Mutation Responsible for Sickle Cell Anemia by an RNA-DNA Oligonucleotide , 1996, Science.

[80]  A. Lasaga,et al.  Variation of Crystal Dissolution Rate Based on a Dissolution Stepwave Model , 2001, Science.

[81]  G. Benedek,et al.  Self-assembly of helical ribbons. , 1999, Proceedings of the National Academy of Sciences of the United States of America.

[82]  G. Benedek,et al.  Solid-liquid phase boundaries of lens protein solutions. , 1992, Proceedings of the National Academy of Sciences of the United States of America.

[83]  D. Leckband,et al.  Measurements of attractive forces between proteins and end-grafted poly(ethylene glycol) chains. , 1997, Proceedings of the National Academy of Sciences of the United States of America.

[84]  P. Hohenberg,et al.  Theory of Dynamic Critical Phenomena , 1977 .

[85]  G. Benedek,et al.  Monte Carlo study of phase separation in aqueous protein solutions , 1996 .

[86]  McGraw,et al.  Scaling properties of the critical nucleus in classical and molecular-based theories of vapor-liquid nucleation. , 1996, Physical review letters.

[87]  Daan Frenkel,et al.  Determination of phase diagrams for the hard-core attractive Yukawa system , 1994 .