Abstract
In this paper, an interval simulator that considers different sources of uncertainty to estimate the blood glucose level of type 1 diabetes patients is presented. In particular, this study examines a model that includes the dynamics from the insulin delivery input to the subcutaneous-glucose concentration output, and a model that estimates the insulin-on-board considering uncertainty. Each model is studied using modal interval analysis to achieve an optimal computation. The simulator includes several interval models that can be combined with each other in order to expand possibilities in the design and assessment of the glucose regulation algorithms and insulin therapies for diabetes patients. The main features of the interval simulator are shown in this work.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
International Diabetes Federation: IDF Diabetes Atlas, 8th edn. International Diabetes Federation, Brussels (2017)
Dalla, M.C., Raimondo, D., Rizza, R., Cobelli, C.: GIM, simulation software of meal glucose-insulin model. J. Diabetes Sci. Technol. 1(3), 323–330 (2007)
Colmegna P.: Simulation & control in type 1 diabetes. Ph.D. thesis, Instituto Tecnologico de Buenos Aires (2015)
Calm, R., García-Jaramillo, M., Bondia, J., Sainz, M.A., Vehí, J.: Comparison of interval and Monte Carlo simulation for the prediction of postprandial glucose under uncertainty in type 1 diabetes mellitus. Comput. Methods Programs Biomed. 104(3), 325–332 (2011)
Cobelli, C., Dalla, M.C., Sparacino, G., Magni, L., De Nicolao, G., Kovatchev, B.: Diabetes: models, signals and control. IEEE Rev. Biomed. Eng. 2, 54–96 (2009)
Hovorka, R., Canonico, V., Chassin, L.J., et al.: Nonlinear model predictive control of glucose concentration in subjects with type 1 diabetes. Physiol. Meas. 25, 905–920 (2004)
García-Jaramillo, M., Calm, R., Bondia, J., Vehí, J.: Prediction of postprandial blood glucose under uncertainty and intra-patient variability in type 1 diabetes: a comparative study of three interval models. Comput. Methods Programs Biomed. 108(1), 224–233 (2012)
García-Jaramillo, M., Delgado, J.S., León-Vargas, F.: Glu4Pred: a computational tool for design and testing of insulin therapies for patients with type 1 diabetes based on interval simulation. In: Torres, I., Bustamante, J., Sierra, D. (eds.) VII Latin American Congress on Biomedical Engineering CLAIB 2016, Bucaramanga, Santander, Colombia, October 26th–28th, 2016. IP, vol. 60, pp. 337–340. Springer, Singapore (2017). https://doi.org/10.1007/978-981-10-4086-3_85
Sainz, M., Armengol, J., Calm, R., Herrero, P., Jorba Jorba, L., Vehi, J.: Modal Interval Analysis: New Tools for Numerical Information. Springer, Cham (2013). https://doi.org/10.1007/978-3-319-01721-1
Colmegna, P., Sánchez-Peña, R.S., Gondhalekar, R: Control-oriented linear parameter-varying model for glucose control in type 1 diabetes. In: IEEE Conference on Control Applications (CCA), Buenos Aires, pp. 410–415 (2016)
León-Vargas, F., Garelli, F., De Battista, H., Vehí, J.: Postprandial blood glucose control using a hybrid adaptive PD controller with insulin-on-board limitation. Biomed. Signal Process. Control 8(6), 724–732 (2013)
Walsh, J., Roberts, R.: Pumping Insulin: Everything You Need for Success on a Smart Insulin Pump. Torrey Pines Press, San Diego (2006)
Herrero, P., Georgiou, P., Toumazou, C., Delaunay, B., Jaulin, L.: An efficient implementation of the SIVIA algorithm in a high-level numerical programming language. Reliable Comput. 16, 239–251 (2012)
García-Jaramillo, M.: Prediction of postprandial blood glucose under intra-patient variability and uncertainty and its use in the design of insulin dosing strategies for type 1 diabetic patients. Ph.D. thesis, Universitat de Girona (2013)
Peyser, T., Dassau, E., Breton, M., Skyler, J.S.: The artificial pancreas: current status and future prospects in the management of diabetes. Ann. N. Y. Acad. Sci. 1311, 102–123 (2014). https://doi.org/10.1111/nyas.12431
Sánchez-Peña, R., et al.: Artificial pancreas: clinical study in Latin America without premeal insulin boluses. J. Diabetes Sci. Technol. 12(5), 914–925 (2018)
Acknowledgments
M. García-Jaramillo was supported by Colciencias Project 110180763081 and Universidad EAN. F. León-Vargas and A. Molano were supported by Universidad Antonio Nariño Project #2018222 and Colciencias Project #110180763081. F. Garelli and N. Rosales were supported by Agencia Nacional de Promoción Científica y Tecnológica (PICT 2017-3211), CONICET (PIP 2015-0837), Universidad Nacional de La Plata (I216) of Argentina.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer Nature Switzerland AG
About this paper
Cite this paper
García-Jaramillo, M., León-Vargas, F., Rosales, N., Molano, A., Garelli, F. (2019). Interval Simulator of the Glucose-Insulin System. In: Figueroa-García, J., Duarte-González, M., Jaramillo-Isaza, S., Orjuela-Cañon, A., Díaz-Gutierrez, Y. (eds) Applied Computer Sciences in Engineering. WEA 2019. Communications in Computer and Information Science, vol 1052. Springer, Cham. https://doi.org/10.1007/978-3-030-31019-6_58
Download citation
DOI: https://doi.org/10.1007/978-3-030-31019-6_58
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-31018-9
Online ISBN: 978-3-030-31019-6
eBook Packages: Computer ScienceComputer Science (R0)