Skip to main content

2018 | OriginalPaper | Buchkapitel

Robust Data-Driven Control of Artificial Pancreas Systems Using Neural Networks

verfasst von : Souradeep Dutta, Taisa Kushner, Sriram Sankaranarayanan

Erschienen in: Computational Methods in Systems Biology

Verlag: Springer International Publishing

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

In this paper, we provide an approach to data-driven control for artificial pancreas systems by learning neural network models of human insulin-glucose physiology from available patient data and using a mixed integer optimization approach to control blood glucose levels in real-time using the inferred models. First, our approach learns neural networks to predict the future blood glucose values from given data on insulin infusion and their resulting effects on blood glucose levels. However, to provide guarantees on the resulting model, we use quantile regression to fit multiple neural networks that predict upper and lower quantiles of the future blood glucose levels, in addition to the mean.
Using the inferred set of neural networks, we formulate a model-predictive control scheme that adjusts both basal and bolus insulin delivery to ensure that the risk of harmful hypoglycemia and hyperglycemia are bounded using the quantile models while the mean prediction stays as close as possible to the desired target. We discuss how this scheme can handle disturbances from large unannounced meals as well as infeasibilities that result from situations where the uncertainties in future glucose predictions are too high. We experimentally evaluate this approach on data obtained from a set of 17 patients over a course of 40 nights per patient. Furthermore, we also test our approach using neural networks obtained from virtual patient models available through the UVA-Padova simulator for type-1 diabetes.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literatur
2.
Zurück zum Zitat Atlas, E., Nimri, R., Miller, S., Grunberg, E.A., Phillip, M.: MD-logic artificial pancreas system: a pilot study in adults with type 1 diabetes. Diab. Care 33(5), 1072–1076 (2010)CrossRef Atlas, E., Nimri, R., Miller, S., Grunberg, E.A., Phillip, M.: MD-logic artificial pancreas system: a pilot study in adults with type 1 diabetes. Diab. Care 33(5), 1072–1076 (2010)CrossRef
3.
Zurück zum Zitat Behl, M., Jain, A., Mangharam, R.: Data-driven modeling, control and tools for cyber-physical energy systems. In: Proceedings of the 7th International Conference on Cyber-Physical Systems, ICCPS 2016, pp. 35:1–35:10. IEEE Press, Piscataway (2016) Behl, M., Jain, A., Mangharam, R.: Data-driven modeling, control and tools for cyber-physical energy systems. In: Proceedings of the 7th International Conference on Cyber-Physical Systems, ICCPS 2016, pp. 35:1–35:10. IEEE Press, Piscataway (2016)
4.
Zurück zum Zitat Bequette, B.W.: Algorithms for a closed-loop artificial pancreas: the case for model predictive control. J. Diab. Sci. Technol. 7, 1632–1643 (2013)CrossRef Bequette, B.W.: Algorithms for a closed-loop artificial pancreas: the case for model predictive control. J. Diab. Sci. Technol. 7, 1632–1643 (2013)CrossRef
5.
Zurück zum Zitat Bergman, R.N., Urquhart, J.: The pilot gland approach to the study of insulin secretory dynamics. Recent Progress Hormon. Res. 27, 583–605 (1971) Bergman, R.N., Urquhart, J.: The pilot gland approach to the study of insulin secretory dynamics. Recent Progress Hormon. Res. 27, 583–605 (1971)
6.
Zurück zum Zitat Bergman, R.N.: Minimal model: perspective from 2005. Hormon. Res. 64(suppl 3), 8–15 (2005) Bergman, R.N.: Minimal model: perspective from 2005. Hormon. Res. 64(suppl 3), 8–15 (2005)
7.
Zurück zum Zitat Bhat, N., McAvoy, T.J.: Use of neural nets for dynamic modeling and control of chemical process systems. Comput. Chem. Eng. 14(4–5), 573–582 (1990)CrossRef Bhat, N., McAvoy, T.J.: Use of neural nets for dynamic modeling and control of chemical process systems. Comput. Chem. Eng. 14(4–5), 573–582 (1990)CrossRef
9.
Zurück zum Zitat Cameron, F., Niemeyer, G., Bequette, B.W.: Extended multiple model prediction with application to blood glucose regulation. J. Process Control 22(8), 1422–1432 (2012)CrossRef Cameron, F., Niemeyer, G., Bequette, B.W.: Extended multiple model prediction with application to blood glucose regulation. J. Process Control 22(8), 1422–1432 (2012)CrossRef
10.
Zurück zum Zitat Cameron, F., et al.: Inpatient studies of a Kalman-filter-based predictive pump shutoff algorithm. J. Diab. Sci. Technol. 6(5), 1142–1147 (2012)CrossRef Cameron, F., et al.: Inpatient studies of a Kalman-filter-based predictive pump shutoff algorithm. J. Diab. Sci. Technol. 6(5), 1142–1147 (2012)CrossRef
11.
Zurück zum Zitat Chase, H.P., Maahs, D.: Understanding Diabetes (Pink Panther Book), 12 edn. Children’s Diabetes Foundation, Denver (2011). Available online through CU Denver Barbara Davis Center for Diabetes Chase, H.P., Maahs, D.: Understanding Diabetes (Pink Panther Book), 12 edn. Children’s Diabetes Foundation, Denver (2011). Available online through CU Denver Barbara Davis Center for Diabetes
13.
Zurück zum Zitat Chen, X., Dutta, S., Sankaranarayanan, S.: Formal verification of a multi-basal insulin infusion control model. In: Workshop on Applied Verification of Hybrid Systems (ARCH), p. 16. Easychair (2017) Chen, X., Dutta, S., Sankaranarayanan, S.: Formal verification of a multi-basal insulin infusion control model. In: Workshop on Applied Verification of Hybrid Systems (ARCH), p. 16. Easychair (2017)
14.
Zurück zum Zitat Cobelli, C., Dalla Man, C., Sparacino, G., Magni, L., Nicolao, G.D., Kovatchev, B.P.: Diabetes: models, signals and control (methodological review). IEEE Rev. Biomed. Eng. 2, 54–95 (2009)CrossRef Cobelli, C., Dalla Man, C., Sparacino, G., Magni, L., Nicolao, G.D., Kovatchev, B.P.: Diabetes: models, signals and control (methodological review). IEEE Rev. Biomed. Eng. 2, 54–95 (2009)CrossRef
15.
Zurück zum Zitat Dalla Man, C., Camilleri, M., Cobelli, C.: A system model of oral glucose absorption: validation on gold standard data. IEEE Trans. Biomed. Eng. 53(12), 2472–2478 (2006)CrossRef Dalla Man, C., Camilleri, M., Cobelli, C.: A system model of oral glucose absorption: validation on gold standard data. IEEE Trans. Biomed. Eng. 53(12), 2472–2478 (2006)CrossRef
16.
Zurück zum Zitat Dalla Man, C., Micheletto, F., Lv, D., Breton, M., Kovatchev, B., Cobelli, C.: The UVa/Padova type I diabetes simulator: new features. J. Diab. Sci. Technol. 8(1), 26–34 (2014)CrossRef Dalla Man, C., Micheletto, F., Lv, D., Breton, M., Kovatchev, B., Cobelli, C.: The UVa/Padova type I diabetes simulator: new features. J. Diab. Sci. Technol. 8(1), 26–34 (2014)CrossRef
17.
Zurück zum Zitat Dalla Man, C., Raimondo, D.M., Rizza, R.A., Cobelli, C.: Gim, simulation software of meal glucose-insulin model (2007) Dalla Man, C., Raimondo, D.M., Rizza, R.A., Cobelli, C.: Gim, simulation software of meal glucose-insulin model (2007)
18.
Zurück zum Zitat Dalla Man, C., Rizza, R.A., Cobelli, C.: Meal simulation model of the glucose-insulin system. IEEE Trans. Biomed. Eng. 1(10), 1740–1749 (2006)CrossRef Dalla Man, C., Rizza, R.A., Cobelli, C.: Meal simulation model of the glucose-insulin system. IEEE Trans. Biomed. Eng. 1(10), 1740–1749 (2006)CrossRef
20.
Zurück zum Zitat Freeman, J.S.: Insulin analog therapy: improving the match with physiologic insulin secretion. J. Am. Osteopath. Assoc. 109(1), 26–36 (2009) Freeman, J.S.: Insulin analog therapy: improving the match with physiologic insulin secretion. J. Am. Osteopath. Assoc. 109(1), 26–36 (2009)
21.
Zurück zum Zitat Garg, S.K., et al.: Glucose outcomes with the in-home use of a hybrid closed-loop insulin delivery system in adolescents and adults with type 1 diabetes. Diab. Technol. Ther. 19(3), 1–9 (2017)CrossRef Garg, S.K., et al.: Glucose outcomes with the in-home use of a hybrid closed-loop insulin delivery system in adolescents and adults with type 1 diabetes. Diab. Technol. Ther. 19(3), 1–9 (2017)CrossRef
22.
Zurück zum Zitat Goodfellow, I., Bengio, Y., Courville, A.: Deep Learning. MIT Press, Cambridge (2016) Goodfellow, I., Bengio, Y., Courville, A.: Deep Learning. MIT Press, Cambridge (2016)
23.
Zurück zum Zitat Griva, L., Breton, M., Chernavvsky, D., Basualdo, M.: Commissioning procedure for predictive control based on arx models of type 1 diabetes mellitus patients. IFAC-PapersOnLine 50(1), 11023–11028 (2017)CrossRef Griva, L., Breton, M., Chernavvsky, D., Basualdo, M.: Commissioning procedure for predictive control based on arx models of type 1 diabetes mellitus patients. IFAC-PapersOnLine 50(1), 11023–11028 (2017)CrossRef
24.
Zurück zum Zitat van Heusden, K., Dassau, E., Zisser, H.C., Seborg, D.E., Doyle III, F.J.: Control-relevant models for glucose control using a priori patient characteristics. IEEE Trans. Biomed. Eng. 59(7), 1839–1849 (2012) van Heusden, K., Dassau, E., Zisser, H.C., Seborg, D.E., Doyle III, F.J.: Control-relevant models for glucose control using a priori patient characteristics. IEEE Trans. Biomed. Eng. 59(7), 1839–1849 (2012)
25.
Zurück zum Zitat Hakami, H.: FDA approves MINIMED 670G system - world’s first hybrid closed loop system (2016) Hakami, H.: FDA approves MINIMED 670G system - world’s first hybrid closed loop system (2016)
26.
Zurück zum Zitat Hovorka, R., et al.: Nonlinear model predictive control of glucose concentration in subjects with type 1 diabetes. Physiol. Measur. 25, 905–920 (2004)CrossRef Hovorka, R., et al.: Nonlinear model predictive control of glucose concentration in subjects with type 1 diabetes. Physiol. Measur. 25, 905–920 (2004)CrossRef
27.
Zurück zum Zitat Hovorka, R., et al.: Partitioning glucose distribution/transport, disposal and endogenous production during IVGTT. Am. J. Physiol. Endocrinol. Metab. 282, 992–1007 (2002)CrossRef Hovorka, R., et al.: Partitioning glucose distribution/transport, disposal and endogenous production during IVGTT. Am. J. Physiol. Endocrinol. Metab. 282, 992–1007 (2002)CrossRef
28.
Zurück zum Zitat Hovorka, R.: Continuous glucose monitoring and closed-loop systems. Diab. Med. 23(1), 1–12 (2005)CrossRef Hovorka, R.: Continuous glucose monitoring and closed-loop systems. Diab. Med. 23(1), 1–12 (2005)CrossRef
30.
Zurück zum Zitat Koenker, R.: Quantile Regression. Econometric Society Monographs, no. 38, p. 342 (2005) Koenker, R.: Quantile Regression. Econometric Society Monographs, no. 38, p. 342 (2005)
31.
Zurück zum Zitat Kowalski, A.: Pathway to artificial pancreas revisited: moving downstream. Diab. Care 38, 1036–1043 (2015)CrossRef Kowalski, A.: Pathway to artificial pancreas revisited: moving downstream. Diab. Care 38, 1036–1043 (2015)CrossRef
32.
Zurück zum Zitat Kushner, T., Bortz, D., Maahs, D., Sankaranarayanan, S.: A data-driven approach to artificial pancreas verification and synthesis. In: International Conference on Cyber-Physical Systems (ICCPS 2018). IEEE Press (2018) Kushner, T., Bortz, D., Maahs, D., Sankaranarayanan, S.: A data-driven approach to artificial pancreas verification and synthesis. In: International Conference on Cyber-Physical Systems (ICCPS 2018). IEEE Press (2018)
34.
Zurück zum Zitat Maahs, D.M., et al.: A randomized trial of a home system to reduce nocturnal hypoglycemia in type 1 diabetes. Diab. Care 37(7), 1885–1891 (2014)CrossRef Maahs, D.M., et al.: A randomized trial of a home system to reduce nocturnal hypoglycemia in type 1 diabetes. Diab. Care 37(7), 1885–1891 (2014)CrossRef
36.
Zurück zum Zitat Nimri, R., et al.: Night glucose control with md-logic artificial pancreas in home setting: a single blind, randomized crossover trial-interim analysis. Pediatric Diab. 15(2), 91–100 (2014)CrossRef Nimri, R., et al.: Night glucose control with md-logic artificial pancreas in home setting: a single blind, randomized crossover trial-interim analysis. Pediatric Diab. 15(2), 91–100 (2014)CrossRef
38.
Zurück zum Zitat Patek, S., et al.: In silico preclinical trials: methodology and engineering guide to closed-loop control in type 1 diabetes mellitus. J. Diab. Sci. Technol. 3(2), 269–82 (2009)CrossRef Patek, S., et al.: In silico preclinical trials: methodology and engineering guide to closed-loop control in type 1 diabetes mellitus. J. Diab. Sci. Technol. 3(2), 269–82 (2009)CrossRef
39.
Zurück zum Zitat Pérez-Gandía, C., et al.: Artificial neural network algorithm for online glucose prediction from continuous glucose monitoring. Diab. Technol. Ther. 12(1), 81–88 (2010)CrossRef Pérez-Gandía, C., et al.: Artificial neural network algorithm for online glucose prediction from continuous glucose monitoring. Diab. Technol. Ther. 12(1), 81–88 (2010)CrossRef
40.
Zurück zum Zitat Piche, S., Sayyar-Rodsari, B., Johnson, D., Gerules, M.: Nonlinear model predictive control using neural networks. IEEE Control Syst. 20(3), 53–62 (2000)CrossRef Piche, S., Sayyar-Rodsari, B., Johnson, D., Gerules, M.: Nonlinear model predictive control using neural networks. IEEE Control Syst. 20(3), 53–62 (2000)CrossRef
41.
Zurück zum Zitat Psichogios, D.C., Ungar, L.H.: Direct and indirect model based control using artificial neural networks. Indus. Eng. Chem. Res. 30(12), 2564–2573 (1991)CrossRef Psichogios, D.C., Ungar, L.H.: Direct and indirect model based control using artificial neural networks. Indus. Eng. Chem. Res. 30(12), 2564–2573 (1991)CrossRef
42.
Zurück zum Zitat Ruiz, J.L., et al.: Effect of insulin feedback on closed-loop glucose control: a crossover study. J. Diab. Sci. Technol. 6(5), 1123–1130 (2012)CrossRef Ruiz, J.L., et al.: Effect of insulin feedback on closed-loop glucose control: a crossover study. J. Diab. Sci. Technol. 6(5), 1123–1130 (2012)CrossRef
43.
Zurück zum Zitat Steil, G.M., Rebrin, K., Darwin, C., Hariri, F., Saad, M.F.: Feasibility of automating insulin delivery for the treatment of type 1 diabetes. Diabetes 55, 3344–3350 (2006)CrossRef Steil, G.M., Rebrin, K., Darwin, C., Hariri, F., Saad, M.F.: Feasibility of automating insulin delivery for the treatment of type 1 diabetes. Diabetes 55, 3344–3350 (2006)CrossRef
44.
Zurück zum Zitat Teixeira, R.E., Malin, S.: The next generation of artificial pancreas control algorithms. J. Diabetes Sci. Tech. 2, 105–112 (2008)CrossRef Teixeira, R.E., Malin, S.: The next generation of artificial pancreas control algorithms. J. Diabetes Sci. Tech. 2, 105–112 (2008)CrossRef
46.
Zurück zum Zitat Visentin, R., Dalla Man, C., Cobelli, C.: One-day Bayesian cloning of type 1 diabetes subjects: toward a single-day UVa/Padova type 1 diabetes simulator. IEEE Trans. Biomed. Eng. 63(11), 2416–2424 (2016)CrossRef Visentin, R., Dalla Man, C., Cobelli, C.: One-day Bayesian cloning of type 1 diabetes subjects: toward a single-day UVa/Padova type 1 diabetes simulator. IEEE Trans. Biomed. Eng. 63(11), 2416–2424 (2016)CrossRef
47.
Zurück zum Zitat Wang, T., Gao, H., Qiu, J.: A combined adaptive neural network and nonlinear model predictive control for multirate networked industrial process control. IEEE Trans. Neural Netw. Learn. Syst. 27(2), 416–425 (2016)MathSciNetCrossRef Wang, T., Gao, H., Qiu, J.: A combined adaptive neural network and nonlinear model predictive control for multirate networked industrial process control. IEEE Trans. Neural Netw. Learn. Syst. 27(2), 416–425 (2016)MathSciNetCrossRef
48.
Zurück zum Zitat Weinzimer, S., Steil, G., Swan, K., Dziura, J., Kurtz, N., Tamborlane, W.: Fully automated closed-loop insulin delivery versus semiautomated hybrid control in pediatric patients with type 1 diabetes using an artificial pancreas. Diab. Care 31, 934–939 (2008)CrossRef Weinzimer, S., Steil, G., Swan, K., Dziura, J., Kurtz, N., Tamborlane, W.: Fully automated closed-loop insulin delivery versus semiautomated hybrid control in pediatric patients with type 1 diabetes using an artificial pancreas. Diab. Care 31, 934–939 (2008)CrossRef
Metadaten
Titel
Robust Data-Driven Control of Artificial Pancreas Systems Using Neural Networks
verfasst von
Souradeep Dutta
Taisa Kushner
Sriram Sankaranarayanan
Copyright-Jahr
2018
DOI
https://doi.org/10.1007/978-3-319-99429-1_11