Samuel Isaacson

Assistant Professor

Office: 
MCS 231

Mailing address:
Samuel Isaacson
Boston University
Department of Mathematics
111 Cummington St.
Boston, MA 02215

Email:

Courses

MA711 Real Analysis

Publications

The Reaction-Diffusion Master Equation, Diffusion Limited Reactions, and Singular Potentials.
With D. Isaacson, Accepted, Phys. Rev. E (pdf)

Numerical Solution of Linear Volterra Integral Equations of the Second Kind with Sharp Gradients.
With R. M. Kirby, Submitted (pdf) (m-files will be posted)

The Reaction-Diffusion Master Equation as an Asymptotic Approximation of Diffusion to a
Small Target. SIAM J. Appl. Math., 70, no. 1, 2009 (pdf) 

A Microfluidic Pumping Mechanism Driven by Non-Equilibrium Osmotic Effects.
With P. J. Atzberger and C. S. Peskin. Physica D, 238, 2009 (pdf)

Relationship Between the Reaction-Diffusion Master Equation and Particle Tracking
Models.  J. Phys. A: Math. Theor., 41 2008 (pdf)

Incorporating Diffusion in Complex Geometries into Stochastic Chemical Kinetics Simulations.
With C. S. Peskin. SIAM Journal on Scientific Computing, 28, no. 1, 2006 (pdf)

Matlab Libraries 

2D Periodic, Cartesian Grid Immersed Boundary Navier-Stokes Solver: (ibmethod2D.tar.gz)
    Individual Files: ibmethod2D

Volterra Integral Equation Solvers (to be posted)

Media

A 3D, stochastic reaction-diffusion model of transcription, mRNA export, translation, protein import, and gene regulation.
(See paper: "Incorporating Diffusion in Complex..." for details on a 2D version of this model).
Movies: