MATLAB: Modeling, Simulation, and Data Analysis
Modeling a Multi-Species Food Chain (ODE45)
Developed a MATLAB simulation of a multi-species rainforest food web using coupled differential equations and ODE45 for a final group differential equations project. Incorporated birth and death rates, predatory relationships, and starvation logic to study cascading population effects and ecosystem stability. Tested multiple initial conditions to analyze system sensitivity and emergent behavior.
Rates of change derived from literature estimates.
Scenario 1: Producer Take Over
Scenario 2: Ecosystem Collapse
Example Logic Condition to Determine Rate of Change of Monkey Population
Modeling Arterial Compliance Using MATLAB
Analyzed pressure-time data from a physical 2-element Windkessel model to study the role of arterial compliance in smoothing pulsatile blood flow. Used MATLAB to import experimental data, generate plots, and compare compliant and non-compliant systems. Built upon prior Simulink Windkessel modeling.
Statistical Analysis of Blood Pressure Measurement Variability
Tools: Excel • MATLAB • Simulink
Analyzed indirect blood pressure measurements across techniques, time of day, and cuff placement. Performed one-way ANOVA and Z-tests to evaluate statistical significance, demonstrating how hydrostatic effects and measurement technique influence systolic pressure readings.
Mean systolic blood pressure by time of day, visualized in MATLAB using class measurement data.
Mean systolic blood pressure by cuff placement, visualized in Google Sheets, illustrating increased readings when measurements are taken below heart level.
Tools: Excel • Google Sheets • MATLAB