This document is a summer internship report submitted by Prafull Kumar Sharma to Karsten Kruse at the University of Saarland in Germany. It summarizes Prafull's work analyzing the dynamics of actin filaments in the contractile ring numerically. Prafull first learned techniques for numerically solving diffusion equations. He then analyzed models of actin filament dynamics both without and with bipolar filaments, studying stability and performing simulations. Key results included verifying that stability only depends on the wavenumber k=2pi/L. Prafull gained experience with programming in MATLAB and solving nonlinear equations during the productive internship.