Applications of MPC in the Area of Health Care

Health is a major area of national expenditure in all developing countries. Many problems that arise in the area of health are, at their core, feedback control problems. This chapter provides an overview of the critical questions that must be asked to determine the nature of the problem and its solution. A variety of health applications are reviewed to identify their unique characteristics, the suitability of Model Predictive Control (MPC) to provide better treatments through better control and some examples of how MPC has been used for these applications.

[1]  Graham C. Goodwin,et al.  A fundamental control limitation for linear positive systems with application to Type 1 diabetes treatment , 2015, Autom..

[2]  Gilles Clermont,et al.  Using nonlinear model predictive control to optimize inflammation-modulating therapy , 2007 .

[3]  H. C. Wood,et al.  Model Predictive Impedance Control: A Model for Joint Movement. , 1997, Journal of motor behavior.

[4]  Y. Z. Ider,et al.  Quantitative estimation of insulin sensitivity. , 1979, The American journal of physiology.

[5]  J. M. Lemos,et al.  Model Predictive control of Depth of Anaesthesia: Guidelines for controller configuration , 2008, 2008 30th Annual International Conference of the IEEE Engineering in Medicine and Biology Society.

[6]  Marco Forgione,et al.  Run-to-Run Tuning of Model Predictive Control for Type 1 Diabetes Subjects: In Silico Trial , 2009, Journal of diabetes science and technology.

[7]  J. M. Lemos,et al.  Multi-drug therapy design for HIV-1 infection using nonlinear model predictive control , 2011, 2011 19th Mediterranean Conference on Control & Automation (MED).

[8]  Deepak Ingole,et al.  FPGA-based explicit model predictive control for closed-loop control of intravenous anesthesia , 2015, 2015 20th International Conference on Process Control (PC).

[9]  Leonid Poretsky.  Principles of Diabetes Mellitus , 2017 .

[10]  Mihalis G. Markakis,et al.  Model Predictive Control of blood glucose in Type 1 diabetes: The Principal Dynamic Modes approach , 2008, 2008 30th Annual International Conference of the IEEE Engineering in Medicine and Biology Society.

[11]  Carl N. Nett,et al.  Sensitivity integrals for multivariable discrete-time systems , 1995, Autom..

[12]  Amjad Abu-Rmileh,et al.  A Gain-Scheduling Model Predictive Controller for Blood Glucose Control in Type 1 Diabetes , 2010, IEEE Transactions on Biomedical Engineering.

[13]  J. Gerich,et al.  Control of glycaemia. , 1993, Bailliere's clinical endocrinology and metabolism.

[14]  Robert S Parker,et al.  Nonlinear model predictive control for dosing daily anticancer agents using a novel saturating-rate cell-cycle model , 2008, Comput. Biol. Medicine.

[15]  Claude H. Moog,et al.  Control of the HIV infection and drug dosage , 2010, Biomed. Signal Process. Control..

[16]  S. Aronoff,et al.  Glucose Metabolism and Regulation: Beyond Insulin and Glucagon , 2004 .

[17]  Garry M. Steil,et al.  Identification of Intraday Metabolic Profiles during Closed-Loop Glucose Control in Individuals with Type 1 Diabetes , 2009, Journal of diabetes science and technology.

[18]  Katja D. Mombaur,et al.  Nonlinear model predictive control of joint ankle by electrical stimulation for drop foot correction , 2013, 2013 IEEE/RSJ International Conference on Intelligent Robots and Systems.

[19]  D. Looze,et al.  A sensitivity tradeoff for plants with time delay , 1987 .

[20]  M. Skliar,et al.  Model predictive control of ultrasound hyperthermia treatments of cancer , 2002, Proceedings of the 2002 American Control Conference (IEEE Cat. No.CH37301).

[21]  Shinji Hara,et al.  Properties of sensitivity and complementary sensitivity functions in single-input single-output digital control systems , 1988 .

[22]  Graham C. Goodwin,et al.  Individualization of stochastic models from population statistics for blood glucose regulation in Type 1 diabetes patients , 2016, 2016 Australian Control Conference (AuCC).

[23]  Eiko Furutani,et al.  A Model-Predictive Hypnosis Control System Under Total Intravenous Anesthesia , 2008, IEEE Transactions on Biomedical Engineering.

[24]  Gilles Clermont,et al.  Starobinskiĭ, correspondence of , 2002 .

[25]  Ali Vahidian Kamyad,et al.  Model Predictive Control for Optimal Anti-HIV Drug Administration , 2011 .

[26]  Matthew S. Maxwell,et al.  Approximate Dynamic Programming for Ambulance Redeployment , 2010, INFORMS J. Comput..

[27]  Ramayya Krishnan,et al.  An Efficient Simulation-Based Approach to Ambulance Fleet Allocation and Dynamic Redeployment , 2012, AAAI.

[28]  Gabriele Pannocchia,et al.  A Model Predictive Control Strategy Toward Optimal Structured Treatment Interruptions in Anti-HIV Therapy , 2010, IEEE Transactions on Biomedical Engineering.

[29]  Soorathep Kheawhom,et al.  Optimal Dosing of Breast Cancer Chemotherapy using Robust MPC Based on Linear Matrix Inequalities , 2015 .

[30]  J. Freudenberg,et al.  Right half plane poles and zeros and design tradeoffs in feedback systems , 1985 .

[31]  Shyamanta M. Hazarika,et al.  Model predictive control for finger joint trajectory of TU Biomimetic hand , 2014, 2014 IEEE International Conference on Mechatronics and Automation.

[32]  Graham C. Goodwin,et al.  Scenario-based, closed-loop model predictive control with application to emergency vehicle scheduling , 2013, Int. J. Control.

[33]  Graham C. Goodwin,et al.  Trade-offs in linear filter design , 1995, Autom..

[34]  Niels Kjølstad Poulsen,et al.  Adaptive control in an artificial pancreas for people with type 1 diabetes , 2017 .

[35]  Keith J. Burnham,et al.  Model Predictive Control for Real-Time Tumor Motion Compensation in Adaptive Radiotherapy , 2014, IEEE Transactions on Control Systems Technology.

[36]  B. Francis,et al.  Sensitivity tradeoffs for multivariable plants , 1985 .

[37]  Giuseppe De Nicolao,et al.  MPC based Artificial Pancreas: Strategies for individualization and meal compensation , 2012, Annu. Rev. Control..

[38]  Robin De Keyser,et al.  Evaluation of a Propofol and Remifentanil interaction model for predictive control of anesthesia induction , 2011, IEEE Conference on Decision and Control and European Control Conference.

[39]  Efstratios N. Pistikopoulos,et al.  A combined estimation and multi-parametric model predictive control approach for intravenous anaesthesia , 2014, 2014 IEEE International Conference on Systems, Man, and Cybernetics (SMC).

[40]  Kazuyuki Aihara,et al.  Model predictive control for optimally scheduling intermittent androgen suppression of prostate cancer. , 2014, Methods.

[41]  Julie L. Eiseman,et al.  A Nonlinear Model Predictive Control Algorithm for Breast Cancer Treatment , 2004 .

[42]  Rick H. Middleton,et al.  Trade-offs in linear control system design , 1991, Autom..

[43]  Jie Chen.  Sensitivity Integral Relations and Design Tradeoffs in Linear Multivariable Feedback Systems , 1993, 1993 American Control Conference.

[44]  Niels Kjølstad Poulsen,et al.  Bihormonal model predictive control of blood glucose in people with type 1 diabetes , 2014, 2014 IEEE Conference on Control Applications (CCA).

[45]  Herman van der Kooij,et al.  Model predictive control-based gait pattern generation for wearable exoskeletons , 2011, 2011 IEEE International Conference on Rehabilitation Robotics.

[46]  Efstratios N. Pistikopoulos,et al.  Model predictive control of anesthesia under uncertainty , 2014, Comput. Chem. Eng..

[47]  Eyal Dassau,et al.  Closed-Loop Control of Artificial Pancreatic $\beta$ -Cell in Type 1 Diabetes Mellitus Using Model Predictive Iterative Learning Control , 2010, IEEE Transactions on Biomedical Engineering.

[48]  Verena Schmid,et al.  Solving the dynamic ambulance relocation and dispatching problem using approximate dynamic programming , 2012, Eur. J. Oper. Res..

[49]  Seddik M Djouadi,et al.  Combining robust state estimation with nonlinear model predictive control to regulate the acute inflammatory response to pathogen. , 2015, Mathematical biosciences and engineering : MBE.

[50]  Clara M. Ionescu,et al.  Advanced Model-Based Control Studies for the Induction and Maintenance of Intravenous Anaesthesia , 2015, IEEE Transactions on Biomedical Engineering.

[51]  Farzad Towhidkhah,et al.  Controlling the depth of anesthesia using model predictive controller and Extended Kalman Filter , 2011, 2011 1st Middle East Conference on Biomedical Engineering.

[52]  R. Zurakowski,et al.  An output-feedback MPC-based scheduling method for enhancing immune response to HIV , 2006, 2006 American Control Conference.

[53]  F. Towhidkhah,et al.  Generalized Predictive Control of Depth of Anesthesia by Using a Pharmocokinetic-Pharmacodynamic Model of the Patient , 2008, 2008 2nd International Conference on Bioinformatics and Biomedical Engineering.

[54]  Claudio Cobelli,et al.  Meal Simulation Model of the Glucose-Insulin System , 2007, IEEE Transactions on Biomedical Engineering.

[55]  Graham C. Goodwin,et al.  Connecting filtering and control sensitivity functions , 2014, Autom..

[56]  Gastón Schlotthauer,et al.  Type I diabetes: modeling, identification and non-linear model predictive control , 2002, Proceedings of the Second Joint 24th Annual Conference and the Annual Fall Meeting of the Biomedical Engineering Society] [Engineering in Medicine and Biology.

[57]  M W Percival,et al.  Development of a multi-parametric model predictive control algorithm for insulin delivery in type 1 diabetes mellitus using clinical parameters. , 2011, Journal of process control.

[58]  G. Stein,et al.  Respect the unstable , 2003 .

[59]  K. Nikita,et al.  An Insulin Infusion Advisory System for Type 1 Diabetes Patients based on Non-Linear Model Predictive Control Methods , 2007, 2007 29th Annual International Conference of the IEEE Engineering in Medicine and Biology Society.

[60]  Ryan Zurakowski,et al.  A model predictive control based scheduling method for HIV therapy. , 2006, Journal of theoretical biology.

[61]  Doraiswami Ramkrishna,et al.  Using adaptive model predictive control to customize maintenance therapy chemotherapeutic dosing for childhood acute lymphoblastic leukemia. , 2010, Journal of theoretical biology.

[62]  Raj Jena,et al.  Optimal dosing of cancer chemotherapy using model predictive control and moving horizon state/parameter estimation , 2012, Comput. Methods Programs Biomed..

[63]  Bruce W Bode,et al.  Safety of a Hybrid Closed-Loop Insulin Delivery System in Patients With Type 1 Diabetes. , 2016, JAMA.

[64]  Eiko Furutani,et al.  A hypnosis and analgesia control system using a model predictive controller in total intravenous anesthesia during day-case surgery , 2010, Proceedings of SICE Annual Conference 2010.

[65]  Frank P. Incropera,et al.  Fundamentals of Heat and Mass Transfer , 1981 .

[66]  Efstratios N. Pistikopoulos,et al.  A multiparametric model‐based optimization and control approach to anaesthesia , 2016 .

[67]  J. Rubin,et al.  A reduced mathematical model of the acute inflammatory response: I. Derivation of model and analysis of anti-inflammation. , 2006, Journal of theoretical biology.

[68]  Eyal Dassau,et al.  Control to Range for Diabetes: Functionality and Modular Architecture , 2009, Journal of diabetes science and technology.

[69]  Gilles Clermont,et al.  Modulating inflammation using nonlinear model predictive control , 2006 .

[70]  R. Hovorka,et al.  Nonlinear model predictive control of glucose concentration in subjects with type 1 diabetes. , 2004, Physiological measurement.

[71]  S. Hara,et al.  Constraints on sensitivity characteristics in linear multivariable discrete-time control systems , 1989 .

[72]  R. Bergman,et al.  Physiologic evaluation of factors controlling glucose tolerance in man: measurement of insulin sensitivity and beta-cell glucose sensitivity from the response to intravenous glucose. , 1981, The Journal of clinical investigation.

[73]  Graham C. Goodwin,et al.  Application of MPC incorporating Stochastic Programming to Type 1 diabetes treatment , 2016, 2016 American Control Conference (ACC).

[74]  Nicholas A. Peppas,et al.  Model predictive control for infusion pump insulin delivery , 1996, Proceedings of 18th Annual International Conference of the IEEE Engineering in Medicine and Biology Society.