Project Info


Applying insulin sensitivity measures in the context of dysregulated insulin

Cecilia Diniz Behn | cdinizbe@mines.edu

The Oral Minimal Model (OMM) is a differential-equations-based mathematical model developed by Cobelli and colleagues to estimate an individual’s insulin sensitivity based on glucose-insulin dynamics during an oral glucose tolerance test. Although OMM-derived measures of insulin sensitivity have been validated in healthy adults, the applicability of OMM to patient populations with beta cell failure leading to insulin insufficiency is not well-understood. Specifically, the effects of dysregulated insulin on model-based insulin sensitivity estimates have not been quantified. In this project we seek to apply mathematical modeling and model analysis techniques to understand how insulin dysregulation affects OMM-based measures of insulin sensitivity. This work will provide insight into the generalizability of OMM in patient populations with diverse metabolic phenotypes and contribute to the development of reliable measures of insulin sensitivity in these patients.

For more information:
Albers et al., “Personalized glucose forecasting for type 2 diabetes using data assimilation.” PLoS Computational Biology, 2017.

Cobelli et al., “The oral minimal model method.” Diabetes, 2014.

Student Preparation


Qualifications

Familiarity with differential equations, MATLAB, and the basic modeling techniques covered in MATH 331 and/or MATH 472/572.

Time Commitment

4-5 hours/week

Skills/Techniques Gained

Skills in mathematical modeling; computational methods for solving systems of ODEs; experience with applied math techniques including sensitivity analysis and data assimilation techniques such as Kalman filters, etc.; training in interdisciplinary research in mathematical endocrinology.

Mentoring Plan

Weekly meetings with the student to discuss progress and next steps, inclusion of the student in research meetings with experimental collaborators, and incorporation of the student into the active AMS Math Bio Research group.