Digital twin technology, wherein a computational model is repeatedly updated to serve as the "twin" of a physical object, is being adapted to biomedicine and healthcare. A key challenge in this process is dynamically calibrating computational models to individual patients using data collected over time. This calibration is vital for improving model-based predictions and enabling personalized medicine. Biomedical models are often complex, incorporating multiple scales of biology and both stochastic and spatially heterogeneous elements. Agent-based models (ABMs), which simulate autonomous agents such as cells, are commonly used to capture how local interactions affect system-level behavior. However, no standard personalization methods exist for these models. The main challenge is bridging the gap between measurable macrostates (e.g., blood pressure, heart rate) and the detailed microstate data (e.g., cellular processes) needed to run the model. In this work, we propose an algorithm that applies the ensemble Kalman filter (EnKF), a classic data assimilation technique, at the macrostate level. We then link the Kalman update at the macrostate to corresponding updates at the microstate level, ensuring that the resulting microstates are compatible with the desired macrostates and consistent with the model's dynamics. This approach improves the personalization of complex (biomedical) models and enhances model-based forecasts.
Bio
https://sites.google.com/view/dcruz
DoMSS Seminar and
Research Innovations in Mathematical Sciences
Monday, November 17
12:00pm MST/AZ
ECA 221
Daniel Alejandro Cruz
Assistant Professor of Mathematics
Cal Poly San Luis Obispo