A computationally efficient Hill curve adaptation strategy during continuous monitoring of dose–effect relation in anaesthesia
- 77 Downloads
This paper discusses a possibility to simplify the number of parameters in the Hill curve by exploiting special mathematical functions. This simplification is relevant when adaptation is required for personalized model-based medicine during continuous monitoring of dose–response values. A mathematical framework of the involved physiology and modelling by means of distributed parameter progressions has been employed. Convergence to a unique dynamic response is achieved, allowing simplifying assumptions with guaranteed solution. Discussion on its use and comparison with other adaptation mechanism is provided.
KeywordsHill curve Continuous fraction expansion Mathematical model Nonlinear dynamics Variability Dose–effect relation Patient specificity
C. M. Ionescu is a postdoctoral fellow of the Flanders Research Centre (FWO), Grant No. 12B3415N. This research is financially supported by Flanders Research Centre, Grant No. G026514N.
- 4.Nino, J., De Keyser, R., Syafiie, S., Ionescu, C., Struys, M.: EPSAC controlled anesthesia with online gain adaptation, in special issue “Trust me I am a doctor” of the Int. J. Adapt. Control Signal Process. 23, 455–471 (2009)Google Scholar
- 9.De Keyser, R., Ionescu, C.: A no-nonsense control engineering approach to anaesthesia control during induction phase. In: (ed.) IFAC 8th Symposium on Biological and Medical Systems, Budapest, Hungary, 29–31 August. IFAC, pp. 379–384 (2012)Google Scholar
- 14.De Smet, T., Struys, M.M.R.F., Greenwald, S., Mortier, E.P., Shafer, S.L.: Estimation of optimal modeling weights for a bayesian-based closed-loop system for propofol administration using the bispectral index as a controlled variable: a simulation study. Anesth. Analg. 105, 1629–1638 (2007)CrossRefGoogle Scholar
- 22.Ionescu, C., Copot, D., De Keyser, R.: Modelling doxorubicin effect in various cancer therapies by means of fractional calculus, In: (ed.) American Control Conference, Boston, USA. IEEE, pp. 1283–1288 (2016)Google Scholar
- 23.Ionescu, C., Copot, D., De Keyser, R.: Anesthesiologist in the loop and predictive algorithm to maintain hypnosis while mimicking surgical disturbance, In: (ed.) IFAC 20th World Congress, Toulouse, France, 9–14 July. IFAC, pp. 15080–15085 (2017)Google Scholar
- 25.Luginbuhl, M., Gerber, A., Schnider, T., Petersen-Felix, S., Arendt-Nielsen, L., Curatolo, M.: Modulation of remifentanil-induced analgesia, hyperalgesia and tolerance by small-dose ketamine in humans. Anesth. Analg. 96, 726–732 (2003)Google Scholar