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Model Based Control for Drug Delivery Systems

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Encyclopedia of Optimization

 

Article Outline

Abstract

Introduction

Surgery Under Anesthesia

  Modeling Anesthesia

  Control of Anesthesia

  Results

Blood Glucose Control for Type 1 Diabetes

  Model for Type 1 Diabetes

  Parametric Controller

  Results

Concluding Remarks

See also

References

Abstract

This chapter presents model based controllers for two drug delivery systems: (i) surgery under anesthesia and (ii) insulin delivery for type 1 diabetes. For anesthesia, a compartmental model is presented and then used for deriving model predictive controller for simultaneous control of mean arterial pressure (MAP), cardiac output (CO) and hypnosis. For type 1 diabetes, parametric control techniques are used for obtaining insulin delivery rate as an explicit function of the state of the patient. This reduces the implementation of the model based controller to function evaluations that can be carried out on a portable computational hardware.

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References

  1. Bergman RN, Phillips LS, Cobelli C (1981) Physiologic evaluation of factors controlling glucose tolerance in man. J Clin Invest 68:1456–1467

    Article  Google Scholar 

  2. DCCT-The Diabetes Control and Complications Trial Research Group (1993) The effect of intensive treatment of diabetes on the development and progression of long-term complications in insulin-dependent diabetes mellitus. New Engl J Med 329:977–986

    Google Scholar 

  3. Dua P, Doyle FJ III, Pistikopoulos EN (2006) Model based glucose control for type 1 diabetes via parametric programming. IEEE Trans Biomed Eng 53:1478–1491

    Article  Google Scholar 

  4. Fisher ME (1991) A semiclosed loop algorithm for the control of blood glucose levels in diabetics. IEEE Trans Biomed Eng 38:57–61

    Article  Google Scholar 

  5. Garcia CE, Prett DM, Morari M (1989) Model predictive control: theory and practice – a survey. Automatica 25:335–348

    Article  MATH  Google Scholar 

  6. Gentilini A, Frei CW, Glattfelder AH, Morari M, Sieber TJ, Wymann R, Schnider TW, Zbinden AM (2001) Multitasked closed-loop control in anesthesia. IEEE Eng Med Biol 20:39–53

    Article  Google Scholar 

  7. gPROMS (2003) Introductory user guide, Release 2.2. Process Systems Enterprise Ltd, London

    Google Scholar 

  8. Lehmann ED, Deutsch T (1992) A physiological model of glucose-insulin interaction in type 1 diabetes mellitus. J Biomed Eng 14:235–242

    Article  Google Scholar 

  9. Lynch SM, Bequette BW (2002) Model predictive control of blood glucose in type I diabetics using subcutaneous glucose measurements. In: Proc. American Control Conf., Anchorage, AK, pp 4039–4043

    Google Scholar 

  10. Mahfouf M, Asbury AJ, Linkens DA (2003) Unconstrained and constrained generalized predictive control of depth of anaesthesia during surgery. Control Eng Pract 11:1501–1515

    Article  Google Scholar 

  11. MATLAB (1998) MPC Toolbox manual. The MathWorks, Natick

    Google Scholar 

  12. Parker RS, Doyle FJ III, Peppas NA (2001) The intravenous route to blood glucose control. IEEE Eng Med Biol 20:65–73

    Article  Google Scholar 

  13. Pistikopoulos EN, Dua V, Bozinis NA, Bemporad A, Morari M (2002) On line optimization via off-line parametric optimization tools. Comput Chem Eng 26:175–185

    Article  Google Scholar 

  14. Rao RR, Palerm CC, Aufderhiede B, Bequette BW (2001) Automated regulation of hemodynamic variables. IEEE Eng Med Biol 20:24–38

    Article  Google Scholar 

  15. Yasuda N, Lockhart SH, Eger EI, Weiskopf RB, Laster M, Taheri S, Peterson NA (1991) Comparison of kinetics of sevoflurane and isoflurane in humans. Anesthesia Analg 72:316–324

    Google Scholar 

  16. Yu C, Roy RJ, Kaufman H (1990) A circulatory model for combined nitroprusside-dopamine therapy in acute heart failure. Med Prog Technol 16:77–88

    Google Scholar 

  17. Zwart AN, Smith NT, Beneken JEW (1972) Multiple model approach to uptake and distribution of halothane: the use of an analog computer. Comput Biomed Res 5:228–238

    Article  Google Scholar 

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Author information

Authors and Affiliations

  1. Centre for Process Systems Engineering, Department of Chemical Engineering, Imperial College London, London, UK

    Pinky Dua

  2. GlaxoSmithKline Research & Development Limited, Harlow, UK

    Pinky Dua

  3. Centre for Process Systems Engineering, Department of Chemical Engineering, University College London, London, UK

    Vivek Dua

  4. Centre for Process Systems Engineering, Department of Chemical Engineering, Imperial College London, London, UK

    Efstratios N. Pistikopoulos

Authors
  1. Pinky Dua
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  2. Vivek Dua
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  3. Efstratios N. Pistikopoulos
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Editor information

Editors and Affiliations

  1. Department of Chemical Engineering, Princeton University, Princeton, NJ, 08544-5263, USA

    Christodoulos A. Floudas

  2. Center for Applied Optimization, Department of Industrial and Systems Engineering, University of Florida, Gainesville, FL, 32611-6595, USA

    Panos M. Pardalos

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© 2008 Springer-Verlag

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Dua, P., Dua, V., Pistikopoulos, E.N. (2008). Model Based Control for Drug Delivery Systems . In: Floudas, C., Pardalos, P. (eds) Encyclopedia of Optimization. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-74759-0_397

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