My first publication (still waiting on review)!
We discuss a one-particle-thick model for lipid membranes containing
large phase-separated domains, develop spectral methods to map our
simulations to continuum descriptions, and use passive and active
experiments to study the elastic mechanics of these complex lipid structures.
Slides prepared for a talk I gave
at SIAM LS 2018. We discuss the shape fluctuations of monolayer fluid
membranes, and the problem of estimating their bending rigidities. You
can find a video of my giving the talk
here.
The canonical linear system problem discussed
in the context of iterative matrix methods, specifically geometric
multigrid. This resource gives a nice overview and
example application.
A fun way to approach nonlinear regression
in a Bayesion framework, taking into account noise-corrupted data.
We discuss the inverse problem of finding a heat source given a
temperature profile.
Done as a project for a Network Systems graduate
engineering course. We discuss some controllers for a network of
in-plane agents, and provide some stability calculations.