Glucose-Insulin Feedback Model  

Glucose is the vehicle by which energy gets from digested food to the cells of the body. In Type I diabetes mellitus, insufficient insulin is available to help get glucose out of the blood and into the cells of the body. This activity has been designed so that students can investigate the negative feedback loop between blood glucose and insulin, one of the mechanisms designed to maintain homeostasis in the human body.

TEACHER RESOURCES

Teacher Materials
Student Activity
Student
   Assessment

Learning
   Goals/Standards


COMPUTER MODELS
Based on a model from Will Glass-Husain, Tucson, AZ

STELLA Versions Vensim Version
THE MODEL DIAGRAM


THE EQUATIONS
Blood_Glucose(t) = Blood_Glucose(t - dt) + (Glucose_Release - Glucose_used_by_cells) * dt
INIT Blood_Glucose = 6000 {mg}
Glucose_Release = GRAPH(time) (0.00, 198), (12.0, 198), (24.0, 198), (36.0, 198), (48.0, 198), (60.0, 198), (72.0, 198), (84.0, 198), (96.0, 198), (108, 198), (120, 198)
Glucose_used_by_cells = Blood_Glucose*Usage_Fraction
Insulin(t) = Insulin(t - dt) + (Insulin_Secretion - Insulin_Breakdown) * dt
INIT Insulin = 9000 {units}
Insulin_Secretion = GRAPH(Blood_Glucose) (1000, 0.00), (2000, 15.0), (3000, 85.0), (4000, 190), (5000, 350), (6000, 500), (7000, 665), (8000, 825), (9000, 930), (10000, 975), (11000, 995)
Insulin_Breakdown = Insulin/18
Healthy_Level_of_Glucose = 6000 {mg}
Usage_Fraction = GRAPH(Insulin) (0.00, 0.0075), (1800, 0.0105), (3600, 0.0145), (5400, 0.019), (7200, 0.0255), (9000, 0.033), (10800, 0.0405), (12600, 0.049), (14400, 0.0545), (16200, 0.0575), (18000, 0.059)

THE OUTPUT



Home | Contact | Site Map | Search