`a`
Mathematical Biosciences and Engineering (MBE)
 

Combining robust state estimation with nonlinear model predictive control to regulate the acute inflammatory response to pathogen
Pages: 1127 - 1139, Issue 5, October 2015

doi:10.3934/mbe.2015.12.1127      Abstract        References        Full text (415.0K)           Related Articles

Gregory Zitelli - Department of Mathematics, University of California, Irvine, 340 Rowland Hall, Bldg #400, Irvine, CA 92697-3875, United States (email)
Seddik M. Djouadi - Electrical Engineering and Computer Science Department, Masdar Institute of Science and Technology, Masdar City, Abu Dhabi, United Arab Emirates (email)
Judy D. Day - Department of Mathematics, University of Tennessee, 1403 Circle Dr, Ayres Hall 227, Knoxville, TN, 37996-2250, United States (email)

1 D. C. Angus and T. van der Poll, Severe sepsis and septic shock, New Eng J Med, 369 (2013), 840-851.
2 O. Bara, J. Day and S. Djouadi, Nonlinear state estimation for complex immune responses, Proceedings of the $52^{nd}$ IEEE Conference on Decision and Control, Florence, Italy, December 10-13 (2013), 3373-3378.
3 G. Conte, C. H. Moog and A. M. Perdon, Nonlinear Control Systems: An Algebraic Setting, Springer-Verlag London, Ltd., London, 1999.       
4 J. M. Coron, Control and Nonlinearity, American Mathematical Society, Providence, RI, 2007.       
5 J. Day, J. Rubin and G. Clermont, Using nonlinear model predictive control to find optimal therapeutic strategies to modulate inflammation, Math Biosci Eng, 7 (2010), 739-763.       
6 M. de Waal, J. Abrams, C. Bennett, B. Figdor and J. de Vries, Interleukin 10(il-10) inhibits cytokine synthesis by human monocytes: An autoregulatory role of il-10 produced by monocytes, J Exp Med, 174 (1991), 1209-1220.
7 J. A. Florian Jr., J. L. Eiseman and R. S. Parker, Nonlinear model predictive control for dosing daily anticancer agents using a novel saturating-rate cell-cycle model, Comput. Biol. Med., 38 (2008), 339-347.
8 J. Hogg, G. Clermont and R. S. Parker, Acute inflammation treatment via particle filter state estimation and mpc, 9th International Symposium on Dynamics and Control of Process Systems, 9 (2010), 272-277.
9 H. Nijmeijer and A. van der Schaft, Nonlinear Dynamical Control Systems, Springer-Verlag, New York, 1990.       
10 A. Reynolds, J. Rubin, G. Clermont, J. Day, Y. Vodovotz and G. B. Ermentrout, A reduced mathematical model of the acute inflammatory response. i. derivation of model and analysis of anti-inflammation, J Theor Bio, 242 (2006), 220-236.       
11 D. Simon, Optimal State Estimation: Kalman, H-infinity and Nonlinear Approaches, Wiley-Interscience, Hoboken, NJ, 2006.
12 J. Xiong, An Introduction to Stochastic Filtering Theory, Oxford University Press, Oxford, 2008.       
13 J. Zabczyk, Mathematical Control Theory: An Introduction, Birkhäuser Boston, Inc, Boston, MA, 1992.       

Go to top