Amyloid fibrillation kinetics: insight from atomistic nucleation theory.

We consider the nucleation of nanosized amyloid fibrils composed of successively layered β-sheets at the molecular level when this process takes place by direct polymerization of protein segments (β-strands) into β-sheets. Application of the atomistic nucleation theory (ANT) to amyloid nucleation of β(2)-microglobulin and amyloid β(40) allows us to predict the fibril nucleus size and the fibril nucleation rate as functions of the supersaturation of the protein solution. The ANT predictions are compared to recent time-resolved optical experiments where they measure the effect of the protein concentration and mutations on the initial lag time before amyloid fibrils form in the protein solution. The presented analysis reveals the general principles underlying the nucleation kinetics of nanosized amyloid fibrils and indicates that it can be treated in the framework of existing general theories of the nucleation of new phases.

[1]  David Eisenberg,et al.  An amyloid-forming segment of beta2-microglobulin suggests a molecular model for the fibril. , 2004, Proceedings of the National Academy of Sciences of the United States of America.

[2]  A. Fersht,et al.  Hydrogen bonding and biological specificity analysed by protein engineering , 1985, Nature.

[3]  C. Hall,et al.  Kinetics of Fibril Formation by Polyalanine Peptides* , 2005, Journal of Biological Chemistry.

[4]  Flavio Seno,et al.  Insight into the Structure of Amyloid Fibrils from the Analysis of Globular Proteins , 2006, PLoS Comput. Biol..

[5]  V. Uversky,et al.  Effect of environmental factors on the kinetics of insulin fibril formation: elucidation of the molecular mechanism. , 2001, Biochemistry.

[6]  M. Fändrich,et al.  Mutagenic analysis of the nucleation propensity of oxidized Alzheimer's β‐amyloid peptide , 2005, Protein science : a publication of the Protein Society.

[7]  J. Hofrichter,et al.  Kinetics and mechanism of deoxyhemoglobin S gelation: a new approach to understanding sickle cell disease. , 1974, Proceedings of the National Academy of Sciences of the United States of America.

[8]  J. Hofrichter,et al.  Kinetics of sickle hemoglobin polymerization. II. A double nucleation mechanism. , 1985, Journal of molecular biology.

[9]  Carol K Hall,et al.  Spontaneous fibril formation by polyalanines; discontinuous molecular dynamics simulations. , 2006, Journal of the American Chemical Society.

[10]  S. Radford,et al.  Fibril Growth Kinetics Reveal a Region of β2-microglobulin Important for Nucleation and Elongation of Aggregation , 2008, Journal of molecular biology.

[11]  S. Radford,et al.  Systematic analysis of nucleation-dependent polymerization reveals new insights into the mechanism of amyloid self-assembly , 2008, Proceedings of the National Academy of Sciences.

[12]  David Eisenberg,et al.  Identifying the amylome, proteins capable of forming amyloid-like fibrils , 2010, Proceedings of the National Academy of Sciences.

[13]  M. Manning,et al.  Counteracting Effects of Renal Solutes on Amyloid Fibril Formation by Immunoglobulin Light Chains* , 2001, The Journal of Biological Chemistry.

[14]  C. Dobson,et al.  Rationalization of the effects of mutations on peptide andprotein aggregation rates , 2003, Nature.

[15]  S. Radford,et al.  Stacked Sets of Parallel, In-register β-Strands of β2-Microglobulin in Amyloid Fibrils Revealed by Site-directed Spin Labeling and Chemical Labeling* , 2010, The Journal of Biological Chemistry.

[16]  Heather T. McFarlane,et al.  Atomic structures of amyloid cross-β spines reveal varied steric zippers , 2007, Nature.

[17]  S. Maiti,et al.  Quasihomogeneous nucleation of amyloid beta yields numerical bounds for the critical radius, the surface tension, and the free energy barrier for nucleus formation. , 2008, The Journal of chemical physics.

[18]  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.

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

[20]  George B. Benedek,et al.  Kinetic theory of fibrillogenesis of amyloid β-protein , 1997 .

[21]  Amedeo Caflisch,et al.  Computational models for the prediction of polypeptide aggregation propensity. , 2006, Current opinion in chemical biology.

[22]  J. Hofrichter,et al.  Kinetics of sickle hemoglobin polymerization. I. Studies using temperature-jump and laser photolysis techniques. , 1985, Journal of molecular biology.

[23]  L. Serrano,et al.  Prediction of sequence-dependent and mutational effects on the aggregation of peptides and proteins , 2004, Nature Biotechnology.

[24]  R. Leapman,et al.  A structural model for Alzheimer's β-amyloid fibrils based on experimental constraints from solid state NMR , 2002, Proceedings of the National Academy of Sciences of the United States of America.

[25]  N. Grigorieff,et al.  Paired β-sheet structure of an Aβ(1-40) amyloid fibril revealed by electron microscopy , 2008, Proceedings of the National Academy of Sciences.

[26]  C. Dobson,et al.  High-resolution molecular structure of a peptide in an amyloid fibril determined by magic angle spinning NMR spectroscopy. , 2004, Proceedings of the National Academy of Sciences of the United States of America.

[27]  C. Hall,et al.  Molecular dynamics simulations of spontaneous fibril formation by random-coil peptides. , 2004, Proceedings of the National Academy of Sciences of the United States of America.

[28]  S. Auer,et al.  Atomistic theory of amyloid fibril nucleation. , 2010, The Journal of chemical physics.

[29]  S. Auer,et al.  Phase diagram of alpha-helical and beta-sheet forming peptides. , 2010, Physical review letters.

[30]  Jianing Zhang,et al.  Simulations of nucleation and elongation of amyloid fibrils. , 2009, The Journal of chemical physics.

[31]  Dimo Kashchiev,et al.  Nucleation : basic theory with applications , 2000 .

[32]  D. Cox,et al.  One-dimensional model of yeast prion aggregation. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[33]  Roland Winter,et al.  Solvation-assisted pressure tuning of insulin fibrillation: from novel aggregation pathways to biotechnological applications. , 2006, Journal of molecular biology.

[34]  A. Miranker,et al.  A native to amyloidogenic transition regulated by a backbone trigger , 2006, Nature Structural &Molecular Biology.

[35]  Sara Linse,et al.  Amyloid β-protein aggregation produces highly reproducible kinetic data and occurs by a two-phase process. , 2010, ACS chemical neuroscience.

[36]  Michele Vendruscolo,et al.  Prediction of aggregation-prone regions in structured proteins. , 2008, Journal of molecular biology.

[37]  Ehud Gazit,et al.  Self-assembled peptide nanostructures: the design of molecular building blocks and their technological utilization. , 2007, Chemical Society reviews.

[38]  P. Vekilov,et al.  Mechanisms of homogeneous nucleation of polymers of sickle cell anemia hemoglobin in deoxy state. , 2004, Journal of molecular biology.

[39]  D. Otzen,et al.  Sulfates dramatically stabilize a salt-dependent type of glucagon fibrils. , 2006, Biophysical journal.

[40]  J. Hofrichter Kinetics of sickle hemoglobin polymerization. III. Nucleation rates determined from stochastic fluctuations in polymerization progress curves. , 1986, Journal of molecular biology.

[41]  Beat H. Meier,et al.  Amyloid Fibrils of the HET-s(218–289) Prion Form a β Solenoid with a Triangular Hydrophobic Core , 2008, Science.

[42]  S. Auer,et al.  Insight into the correlation between lag time and aggregation rate in the kinetics of protein aggregation , 2010, Proteins.

[43]  P. Lansbury,et al.  Models of amyloid seeding in Alzheimer's disease and scrapie: mechanistic truths and physiological consequences of the time-dependent solubility of amyloid proteins. , 1997, Annual review of biochemistry.

[44]  J. Drenth,et al.  The interaction energy between two protein molecules related to physical properties of their solution and their crystals and implications for crystal growth , 1995 .

[45]  M. Fändrich,et al.  The aggregation kinetics of Alzheimer's β‐amyloid peptide is controlled by stochastic nucleation , 2005, Protein science : a publication of the Protein Society.

[46]  R. Nagel,et al.  The kinetics of nucleation and growth of sickle cell hemoglobin fibers. , 2007, Journal of molecular biology.

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

[48]  S. Perrett,et al.  Relationship between stability of folding intermediates and amyloid formation for the yeast prion Ure2p: a quantitative analysis of the effects of pH and buffer system. , 2003, Journal of molecular biology.

[49]  F. Ferrone Nucleation: the connections between equilibrium and kinetic behavior. , 2006, Methods in enzymology.

[50]  Dimo Kashchiev,et al.  Nucleation of amyloid fibrils. , 2010, The Journal of chemical physics.

[51]  C. Dobson,et al.  Protein misfolding, functional amyloid, and human disease. , 2006, Annual review of biochemistry.

[52]  David Eisenberg,et al.  β2-microglobulin forms 3D domain-swapped amyloid fibrils with disulfide linkages , 2010, Nature Structural &Molecular Biology.

[53]  Pawel Sikorski,et al.  Molecular basis for amyloid fibril formation and stability. , 2005, Proceedings of the National Academy of Sciences of the United States of America.

[54]  D. Kashchiev Toward a better description of the nucleation rate of crystals and crystalline monolayers. , 2008, The Journal of chemical physics.

[55]  Tuomas P. J. Knowles,et al.  An Analytical Solution to the Kinetics of Breakable Filament Assembly , 2009, Science.

[56]  S. Lindquist,et al.  Nucleated conformational conversion and the replication of conformational information by a prion determinant. , 2000, Science.

[57]  A. Miranker,et al.  Oligomeric assembly of native-like precursors precedes amyloid formation by beta-2 microglobulin. , 2004, Biochemistry.

[58]  Michele Vendruscolo,et al.  Characterization of the nucleation barriers for protein aggregation and amyloid formation , 2007, HFSP journal.

[59]  William J Welsh,et al.  Detecting hidden sequence propensity for amyloid fibril formation , 2004, Protein science : a publication of the Protein Society.

[60]  M. Fändrich Absolute correlation between lag time and growth rate in the spontaneous formation of several amyloid-like aggregates and fibrils. , 2007, Journal of molecular biology.

[61]  S. Radford,et al.  Competition between Intramolecular and Intermolecular Interactions in an Amyloid-Forming Protein , 2009, Journal of molecular biology.

[62]  S. Radford,et al.  Nucleation of protein fibrillation by nanoparticles , 2007, Proceedings of the National Academy of Sciences.

[63]  Michele Vendruscolo,et al.  Self-templated nucleation in peptide and protein aggregation. , 2008, Physical review letters.

[64]  P. Lansbury,et al.  Seeding “one-dimensional crystallization” of amyloid: A pathogenic mechanism in Alzheimer's disease and scrapie? , 1993, Cell.