Research

    The aim of my research is to solve the first order photobleaching kinetics partial differential equations using a time-domain method known as a Krylov Subspace Spectral method (KSS method), developed by mathematician Dr. James Lambers. KSS is an explicit method for solving time-dependent variable-coefficient partial differential equations(PDEs). KSS is more scalable compared to other time-stepping methods.

    The first order photobleaching kinetics partial differential equations describe binding-diffusion kinetics using the photobleaching scanning profile of confocal laser scanning microscopes.

    The goals of the research are to find a simple rough analytical solution for the above equations as well as a computational solution that is first-order accurate in order to examine short- and long-term behaviors.

    Please feel free to contact me about my research. Any laboratory, theoretical and computational cooperation from both domestic and international research groups is welcome.

    Email: s.sheikholeslami@usm.edu