Simulation of gel phase formation and melting in lipid bilayers using a coarse grained model.

The transformation between a gel and a fluid phase in dipalmitoyl-phosphatidylcholine (DPPC) bilayers has been simulated using a coarse grained (CG) model by cooling bilayer patches composed of up to 8000 lipids. The critical step in the transformation process is the nucleation of a gel cluster consisting of 20-80 lipids, spanning both monolayers. After the formation of the critical cluster, a fast growth regime is entered. Growth slows when multiple gel domains start interacting, forming a percolating network. Long-lived fluid domains remain trapped and can be metastable on a microsecond time scale. From the temperature dependence of the rate of cluster growth, the line tension of the fluid-gel interface was estimated to be 3+/-2 pN. The reverse process is observed when heating the gel phase. No evidence is found for a hexatic phase as an intermediate stage of melting. The hysteresis observed in the freezing and melting transformation is found to depend both on the system size and on the time scale of the simulation. Extrapolating to macroscopic length and time scales, the transition temperature for heating and cooling converges to 295+/-5 K, in semi-quantitative agreement with the experimental value for DPPC (315 K). The phase transformation is associated with a drop in lateral mobility of the lipids by two orders of magnitude, and an increase in the rotational correlation time of the same order of magnitude. The lipid headgroups, however, remain fluid. These observations are in agreement with experimental findings, and show that the nature of the ordered phase obtained with the CG model is indeed a gel rather than a crystalline phase. Simulations performed at different levels of hydration furthermore show that the gel phase is stabilized at low hydration. A simulation of a small DPPC vesicle reveals that curvature has the opposite effect.

[1]  S. Dodd,et al.  Area per lipid and acyl length distributions in fluid phosphatidylcholines determined by (2)H NMR spectroscopy. , 2000, Biophysical journal.

[2]  R. Epand,et al.  Fatty-acid chain tilt angles and directions in dipalmitoyl phosphatidylcholine bilayers. , 1992, Biophysical journal.

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

[4]  G. S. Smith,et al.  X-ray structural studies of freely suspended ordered hydrated DMPC multimembrane films , 1990 .

[5]  Jonathan Richard Shewchuk,et al.  Delaunay refinement algorithms for triangular mesh generation , 2002, Comput. Geom..

[6]  K. Esselink,et al.  Computer simulations of a water/oil interface in the presence of micelles , 1990, Nature.

[7]  J. Nagle,et al.  Structure of lipid bilayers. , 2000, Biochimica et biophysica acta.

[8]  K. Gawrisch,et al.  Lateral diffusion rates of lipid, water, and a hydrophobic drug in a multilamellar liposome. , 2003, Biophysical journal.

[9]  David R. Nelson,et al.  Theory of Two-Dimensional Melting , 1978 .

[10]  Siewert J Marrink,et al.  Molecular structure of the lecithin ripple phase. , 2005, Proceedings of the National Academy of Sciences of the United States of America.

[11]  A. Mark,et al.  Molecular dynamics simulation of the formation, structure, and dynamics of small phospholipid vesicles. , 2003, Journal of the American Chemical Society.

[12]  R. Biltonen,et al.  The use of differential scanning calorimetry as a tool to characterize liposome preparations , 1993 .

[13]  Berk Hess,et al.  GROMACS 3.0: a package for molecular simulation and trajectory analysis , 2001 .

[14]  Berend Smit,et al.  Phase Behavior and Induced Interdigitation in Bilayers Studied with Dissipative Particle Dynamics , 2003 .

[15]  J. Frankel Kinetic theory of liquids , 1946 .

[16]  M. Stevens,et al.  Coarse-grained simulations of lipid bilayers. , 2004, The Journal of chemical physics.

[17]  A. C. Zettlemoyer,et al.  Homogeneous Nucleation Theory , 1974 .

[18]  B. Brooks,et al.  Molecular dynamics simulations of gel (LβI) phase lipid bilayers in constant pressure and constant surface area ensembles , 2000 .

[19]  D P Tieleman,et al.  A computer perspective of membranes: molecular dynamics studies of lipid bilayer systems. , 1997, Biochimica et biophysica acta.

[20]  H. S. Green,et al.  A Kinetic Theory of Liquids , 1947, Nature.

[21]  R. Winter,et al.  Kinetics of phase transformations between lyotropic mesophases of different topology: a time-resolved synchrotron X-ray diffraction study using the pressure-jump relaxation. , 2000 .

[22]  Zhang,et al.  Order and disorder in fully hydrated unoriented bilayers of gel-phase dipalmitoylphosphatidylcholine. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[23]  P. Miethe,et al.  The phase diagram of 1,2-dipalmitoyl-sn-glycero-3-phosphocholine/sucrose in the dry state. Sucrose substitution for water in lamellar mesophases. , 1989, Biochimica et biophysica acta.

[24]  A. Mark,et al.  Coarse grained model for semiquantitative lipid simulations , 2004 .

[25]  D. Thouless,et al.  Ordering, metastability and phase transitions in two-dimensional systems , 1973 .

[26]  M. Caffrey,et al.  Phases and phase transitions of the phosphatidylcholines. , 1998, Biochimica et biophysica acta.

[27]  Ke-Qin Zhang,et al.  In situ observation of colloidal monolayer nucleation driven by an alternating electric field , 2004, Nature.

[28]  G. Lindblom,et al.  Lateral diffusion of cholesterol and dimyristoylphosphatidylcholine in a lipid bilayer measured by pulsed field gradient NMR spectroscopy. , 2002, Biophysical journal.

[29]  Roland Faller,et al.  Simulation of domain formation in DLPC-DSPC mixed bilayers. , 2004, Langmuir : the ACS journal of surfaces and colloids.

[30]  C. Wade,et al.  Lipid lateral diffusion by pulsed nuclear magnetic resonance. , 1979, Biochemistry.

[31]  U. Essmann,et al.  The origin of the hydration interaction of lipid bilayers from MD simulation of dipalmitoylphosphatidylcholine membranes in gel and liquid crystalline phases , 1995 .

[32]  G. Lindblom,et al.  The effect of cholesterol on the lateral diffusion of phospholipids in oriented bilayers. , 2003, Biophysical journal.

[33]  J. Sheats,et al.  A photochemical technique for measuring lateral diffusion of spin-labeled phospholipids in membranes. , 1978, Proceedings of the National Academy of Sciences of the United States of America.

[34]  E. Shlyapnikova,et al.  Thermodynamics and Kinetics of the Early Steps of Solid-State Nucleation in the Fluid Lipid Bilayer , 2000 .

[35]  S. Chui Grain-Boundary Theory of Melting in Two Dimensions , 1982 .

[36]  A. Tamboli,et al.  The role of molecular shape in bilayer elasticity and phase behavior. , 2004, The Journal of chemical physics.

[37]  H. Berendsen,et al.  Molecular dynamics with coupling to an external bath , 1984 .

[38]  K. Esselink,et al.  Molecular dynamics study of nucleation and melting of n‐alkanes , 1994 .

[39]  M. Klein,et al.  Molecular dynamics investigation of the structure of a fully hydrated gel-phase dipalmitoylphosphatidylcholine bilayer. , 1996, Biophysical journal.

[40]  A. Jonas,et al.  High-pressure proton NMR study of lateral self-diffusion of phosphatidylcholines in sonicated unilamellar vesicles. , 1995, Chemistry and physics of lipids.