Advisor(s) - Committee Chair
Dr. Schugart Richard (Director), Dr. Thomas Ricmond, and Dr. Ngoc Nguyen
Department of Mathematics
Master of Science
System Lupus Erythematosus (SLE) is a chronic inflammatory autoimmune disorder that affects many parts of the body including skin, joints, kidneys, brains and other organs. Lupus Nephritis (LN) is a disease caused by SLE. Given the complexity of LN, we establish an optimal treatment strategy based on a previously developed mathematical model.For our thesis work, the model variables are: Immune Complexes (I), Pro-inflammatory mediators (P), Damaged tissue (D), and Anti-inflammatory mediators (A). The analysis in this research project focuses on analyzing therapeutic strategies to control damage using both parameter estimation techniques (integration of data to quantify any uncertainties associated with parameters) and optimal control with the goal of minimizing time spent on therapy for treating damaged tissue by LN.
Biology | Economics | Mathematics
Agaba, Peter, "Optimal Control Theory and Estimation of Parameters in a Differential Equation Model for Patients with Lupus" (2019). Masters Theses & Specialist Projects. Paper 3118.
Available for download on Thursday, May 14, 2020