Detailed Per-residue Energetic Analysis Explains the Driving Force for Microtubule Disassembly

Microtubules are long filamentous hollow cylinders whose surfaces form lattice structures of αβ-tubulin heterodimers. They perform multiple physiological roles in eukaryotic cells and are targets for therapeutic interventions. In our study, we carried out all-atom molecular dynamics simulations for arbitrarily long microtubules that have either GDP or GTP molecules in the E-site of β-tubulin. A detailed energy balance of the MM/GBSA inter-dimer interaction energy per residue contributing to the overall lateral and longitudinal structural stability was performed. The obtained results identified the key residues and tubulin domains according to their energetic contributions. They also identified the molecular forces that drive microtubule disassembly. At the tip of the plus end of the microtubule, the uneven distribution of longitudinal interaction energies within a protofilament generates a torque that bends tubulin outwardly with respect to the cylinder's axis causing disassembly. In the presence of GTP, this torque is opposed by lateral interactions that prevent outward curling, thus stabilizing the whole microtubule. Once GTP hydrolysis reaches the tip of the microtubule (lateral cap), lateral interactions become much weaker, allowing tubulin dimers to bend outwards, causing disassembly. The role of magnesium in the process of outward curling has also been demonstrated. This study also showed that the microtubule seam is the most energetically labile inter-dimer interface and could serve as a trigger point for disassembly. Based on a detailed balance of the energetic contributions per amino acid residue in the microtubule, numerous other analyses could be performed to give additional insights into the properties of microtubule dynamic instability.

[1]  N. Stanietsky,et al.  The interaction of TIGIT with PVR and PVRL2 inhibits human NK cell cytotoxicity , 2009, Proceedings of the National Academy of Sciences.

[2]  Tingjun Hou,et al.  Assessing the Performance of the MM/PBSA and MM/GBSA Methods. 1. The Accuracy of Binding Free Energy Calculations Based on Molecular Dynamics Simulations , 2011, J. Chem. Inf. Model..

[3]  A. Hyman,et al.  Structural Changes Accompanying Gtp Hydrolysis in Microtubules: Information from a Slowly Hydrolyzable Analogue Guanylyl-(c ,/3)-methylene-diphosphonate , 1995 .

[4]  Daniel R Roe,et al.  PTRAJ and CPPTRAJ: Software for Processing and Analysis of Molecular Dynamics Trajectory Data. , 2013, Journal of chemical theory and computation.

[5]  P. Kollman,et al.  A Second Generation Force Field for the Simulation of Proteins, Nucleic Acids, and Organic Molecules , 1995 .

[6]  R. Cross,et al.  Ectopic A-lattice seams destabilize microtubules , 2014, Nature Communications.

[7]  K Schulten,et al.  VMD: visual molecular dynamics. , 1996, Journal of molecular graphics.

[8]  C. Rieder,et al.  Kinetochores capture astral microtubules during chromosome attachment to the mitotic spindle: direct visualization in live newt lung cells , 1990, The Journal of cell biology.

[9]  William V Nicholson,et al.  Microtubule structure at 8 A resolution. , 2002, Structure.

[10]  P. Kollman,et al.  Calculating structures and free energies of complex molecules: combining molecular mechanics and continuum models. , 2000, Accounts of chemical research.

[11]  E. Nogales,et al.  Structure of the alpha beta tubulin dimer by electron crystallography. , 1998, Nature.

[12]  Holger Gohlke,et al.  MMPBSA.py: An Efficient Program for End-State Free Energy Calculations. , 2012, Journal of chemical theory and computation.

[13]  J. Tuszynski,et al.  Analysis of the strength of interfacial hydrogen bonds between tubulin dimers using quantum theory of atoms in molecules. , 2014, Biophysical journal.

[14]  D. Pantaloni,et al.  Kinetic analysis of guanosine 5'-triphosphate hydrolysis associated with tubulin polymerization. , 1981, Biochemistry.

[15]  T. Mitchison The Engine of Microtubule Dynamics Comes into Focus , 2014, Cell.

[16]  Heather A. Carlson,et al.  Development of polyphosphate parameters for use with the AMBER force field , 2003, J. Comput. Chem..

[17]  R C Weisenberg,et al.  Microtubule Formation in vitro in Solutions Containing Low Calcium Concentrations , 1972, Science.

[18]  Carlos Alfonso,et al.  Stathmin and Interfacial Microtubule Inhibitors Recognize a Naturally Curved Conformation of Tubulin Dimers* , 2010, The Journal of Biological Chemistry.

[19]  Duncan Poole,et al.  Routine Microsecond Molecular Dynamics Simulations with AMBER on GPUs. 1. Generalized Born , 2012, Journal of chemical theory and computation.

[20]  A. Kovalenko,et al.  Microtubule stability studied by three-dimensional molecular theory of solvation. , 2007, Biophysical journal.

[21]  P. Schiff,et al.  Taxol stabilizes microtubules in mouse fibroblast cells. , 1980, Proceedings of the National Academy of Sciences of the United States of America.

[22]  M. Kirschner,et al.  Dynamic instability of microtubule growth , 1984, Nature.

[23]  E. Salmon,et al.  Effects of magnesium on the dynamic instability of individual microtubules. , 1990, Biochemistry.

[24]  E. Nogales,et al.  High-Resolution Model of the Microtubule , 1999, Cell.

[25]  Aleksei Aksimentiev,et al.  Mechanical properties of a complete microtubule revealed through molecular dynamics simulation. , 2010, Biophysical journal.

[26]  D. Baker,et al.  High-Resolution Microtubule Structures Reveal the Structural Transitions in αβ-Tubulin upon GTP Hydrolysis , 2014, Cell.

[27]  S. Martin,et al.  Fast disassembly of microtubules induced by Mg2+ or Ca2+. , 1988, Biochemical and biophysical research communications.

[28]  Nathan A. Baker,et al.  The physical basis of microtubule structure and stability , 2003, Protein science : a publication of the Protein Society.

[29]  H. Erickson,et al.  The role of subunit entropy in cooperative assembly. Nucleation of microtubules and other two-dimensional polymers. , 1981, Biophysical journal.

[30]  J. Snyder,et al.  The binding conformation of Taxol in β-tubulin: A model based on electron crystallographic density , 2001, Proceedings of the National Academy of Sciences of the United States of America.

[31]  Duncan Poole,et al.  Routine Microsecond Molecular Dynamics Simulations with AMBER on GPUs. 2. Explicit Solvent Particle Mesh Ewald. , 2013, Journal of chemical theory and computation.

[32]  T. Mitchison Localization of an exchangeable GTP binding site at the plus end of microtubules. , 1993, Science.

[33]  D. Odde,et al.  Estimates of lateral and longitudinal bond energies within the microtubule lattice , 2002, Proceedings of the National Academy of Sciences of the United States of America.

[34]  E. Nogales,et al.  Refined structure of alpha beta-tubulin at 3.5 A resolution. , 2001, Journal of molecular biology.

[35]  V. Hornak,et al.  Comparison of multiple Amber force fields and development of improved protein backbone parameters , 2006, Proteins.

[36]  E. Nogales,et al.  Structural mechanisms underlying nucleotide-dependent self-assembly of tubulin and its relatives. , 2006, Current opinion in structural biology.

[37]  E. Salmon,et al.  Dynamic instability of individual microtubules analyzed by video light microscopy: rate constants and transition frequencies , 1988, The Journal of cell biology.

[38]  Olga Kononova,et al.  Tubulin Bond Energies and Microtubule Biomechanics Determined from Nanoindentation in Silico , 2014, Journal of the American Chemical Society.

[39]  Kenneth H. Downing,et al.  Correction: Structure of the αβ tubulin dimer by electron crystallography , 1998, Nature.

[40]  C. Dumontet,et al.  Microtubule-binding agents: a dynamic field of cancer therapeutics , 2010, Nature Reviews Drug Discovery.

[41]  J. Correia,et al.  Mg2+ dependence of guanine nucleotide binding to tubulin. , 1987, The Journal of biological chemistry.

[42]  S. N. Timasheff,et al.  Magnesium-induced self-association of calf brain tubulin. II. Thermodynamics. , 1975, Biochemistry.

[43]  Philippe Manivet,et al.  The state of the guanosine nucleotide allosterically affects the interfaces of tubulin in protofilament , 2012, Journal of Computer-Aided Molecular Design.

[44]  Kenneth H. Downing,et al.  Refined structure of αβ-tubulin at 3.5 Å resolution 1 1Edited by I. A. Wilson , 2001 .

[45]  E. Mandelkow,et al.  Microtubule dynamics and microtubule caps: a time-resolved cryo- electron microscopy study , 1991, The Journal of cell biology.

[46]  Andreas W. Götz,et al.  SPFP: Speed without compromise - A mixed precision model for GPU accelerated molecular dynamics simulations , 2013, Comput. Phys. Commun..