• Corpus ID: 238259766

Drift-Diffusion Dynamics and Phase Separation in Curved Cell Membranes and Dendritic Spines: Hybrid Discrete-Continuum Methods

  title={Drift-Diffusion Dynamics and Phase Separation in Curved Cell Membranes and Dendritic Spines: Hybrid Discrete-Continuum Methods},
  author={P. D. Tran and Thomas A. Blanpied and Paul J. Atzberger},
We develop methods for investigating protein drift-diffusion dynamics in heterogeneous cell membranes and the roles played by geometry, diffusion, chemical kinetics, and phase separation. Our hybrid stochastic numerical methods combine discrete particle descriptions with continuum-level models for tracking the individual protein drift-diffusion dynamics when coupled to continuum fields. We show how our approaches can be used to investigate phenomena motivated by protein kinetics within… 
First-Passage Time Statistics on Surfaces of General Shape: Surface PDE Solvers using Generalized Moving Least Squares (GMLS)
Using Dynkin’s formula, numerical methods for computing statistics of stochastic processes on surfaces of general shape with drift-diffusion dynamics are developed and how FPTs are influenced by the surface geometry, drift dynamics, and spatially dependent diffusivities are performed.


MCell-R: A Particle-Resolution Network-Free Spatial Modeling Framework.
MCell-R is a framework that extends the particle-based spatial Monte Carlo simulator, MCell, with the rule-based model specification and simulation capabilities provided by BioNetGen and NFsim to efficiently simulate systems characterized by combinatorial complexity at the level of spatially resolved individual molecules over biologically relevant time and length scales.
Stochastic Differential Equations
We explore in this chapter questions of existence and uniqueness for solutions to stochastic differential equations and offer a study of their properties. This endeavor is really a study of diffusion
The 4th International Conference on Electron Tomography.
This special issue of the Journal of Structural Biology is based on topics and presentations at the 4th International Conference on Electron Tomography that took place November 5–8, 2006, at the Paradise Point Resort in San Diego, California, and represents a snapshot of the field at present, and suggests future directions.
Molecular Biology of the Cell
  • J. Davies
  • Bristol Medico-Chirurgical Journal
  • 1983
cellular viewpoint. That is all very well. In any case academics will swallow almost anything if it's their job. Even if the botanists of the 18th century, the well-intentioned of the 19th century
Philosophical Transactions of the Royal Society of London
This book is coming as the best seller book today and when you are really a good reader or you're fans of the author, it does will be funny if you don't have this book.
Spherical Harmonics and Approximations on the Unit Sphere: An Introduction
1 Preliminaries.- 2 Spherical Harmonics.- 3 Differentiation and Integration over the Sphere.- 4 Approximation Theory.- 5 Numerical Quadrature.- 6 Applications: Spectral Methods.
Soft Matter
Please note that technical editing may introduce minor changes to the text and/or graphics, which may alter content. The journal’s standard Terms & Conditions and the Ethical guidelines still apply.
Apesar da gestão de carreiras ser uma preocupação recente no quadro da gestão das relações de trabalho, é hoje evidente a crise em que se encontra a forma tradicional de abordagem desta problemática.
Proceedings of the National Academy of Sciences, USA
The song below is a talking blues in the style of Woody Guthrie, written by Joel Herskowitz, a pediatric neurologist working in Boston, and sung by Joel and his brother Ira.
Aaron Beck’s cognitive therapy model has been used repeatedly to treat depression and anxiety. The case presented here is a 34-year-old female law student with an adjustment disorder with mixed