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Using nonlinear model predictive control to find optimal therapeutic strategies to modulate inflammation
1. | Mathematical Biosciences Institute, The Ohio State University, 1735 Neil Ave, 377 Jennings Hall, Columbus, OH 43210, United States |
2. | Department of Mathematics, University of Pittsburgh, 301 Thackeray Hall, Pittsburgh, PA 15260, United States |
3. | Department of Critical Care Medicine, University of Pittsburgh Medical Center, 3550 Terrace St, Pittsburgh, PA 15261, United States |
References:
[1] |
D. Annane, V. Sebille, C. Charpentier, P. E. Bollaert, B. Francois, J. M. Korach, G. Capellier, Y. Cohen, E. Azoulay, G. Troche, P. Chaumet-Riffaut and E. Bellissant, Effect of treatment with low doses of hydrocortisone and fludrocortisone on mortality in patients with septic shock,, JAMA, 288 (2002), 862. Google Scholar |
[2] |
R. C. Bone, The search for a magic bullet to fight sepsis,, JAMA, 269 (1993), 2266. Google Scholar |
[3] |
R. C. Bone, Why sepsis trials fail,, JAMA, 276 (1996), 565. Google Scholar |
[4] |
R. C. Bone, Immunologic dissonance: A continuing evolution in our understanding of the systemic inflammatory response syndrome (SIRS) and the multiple organ dysfunction syndrome (MODS),, Ann. Intern. Med., 125 (1996), 680. Google Scholar |
[5] |
C. C. Chow, G. Clermont, R. Kumar, C. Lagoa, Z. Tawadrous, D. Gallo, B. Betten, J. Bartels, G. Constantine, M. P. Fink, T. R. Billiar and Y. Vodovotz, The acute inflammatory response in diverse shock states,, Shock, 24 (2005), 74.
doi: doi:10.1097/01.shk.0000168526.97716.f3. |
[6] |
A. S. Cross, S. M. Opal, K. Bhattacharjee, S. T. Donta, P. N. Peduzzi, E. Furer, J. U. Que and S. J. Cryz, Immunotherapy of sepsis: Flawed concept or faulty implementation?,, Vaccine, 17 (Suppl. 3) (1999).
doi: doi:10.1016/S0264-410X(99)00230-3. |
[7] |
A. S. Cross and S. M. Opal, A new paradigm for the treatment of sepsis: Is it time to consider combination therapy,, Ann. Intern. Med., 138 (2003), 502. Google Scholar |
[8] |
S. Daun, J. Rubin, Y. V. Vodovotz, A. Roy, R. S. Parker and G. Clermont, An ensemble of models of the acute inflammatory response to bacterial lipopolysaccharide in rats: Results from parameter space reduction,, J. Theor. Biol., 253 (2008), 843.
doi: doi:10.1016/j.jtbi.2008.04.033. |
[9] |
J. Day, J. Rubin, Y. Vodovotz, C. C. Chow, A. Reynolds and G. Clermont, A reduced mathematical model of the acute inflammatory response II. Capturing scenarios of repeated endotoxin administration,, J. Theor. Biol., 242 (2006), 237.
doi: doi:10.1016/j.jtbi.2006.02.015. |
[10] |
R. P. Dellinger, M. M. Levy, J. M. Carlet, J. Bion, M. M. Parker, R. Jaeschke, K. Reinhart, D. C. Angus, C. Brun-Buisson, R. Beale, T. Calandra, J. F. Dhainaut, H. Gerlach, M. Harvey, J. J. Marini, J. Marshall, M. Ranieri, G. Ramsay, J. Sevransky, B. T. Thompson, S. Townsend, J. S. Vender, J. L. Zimmerman and J. L. Vincent, Surviving Sepsis Campaign: International guidelines for management of severe sepsis and septic shock: 2008,, Crit. Care Med., 36 (2008), 296.
doi: doi:10.1097/01.CCM.0000298158.12101.41. |
[11] |
F. Doyle, L. Jovanovic, D. Seborg, R. S. Parker, B. W. Bequette, A. M. Jeffrey, X. Xia, I. K. Craig and T. McAvoy, A tutorial on biomedical process control,, J. Proc. Con., 17 (2007), 571.
doi: doi:10.1016/j.jprocont.2007.01.012. |
[12] |
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.
doi: doi:10.1016/j.compbiomed.2007.12.003. |
[13] |
J. Klastersky and R. Capel, Adreno-corticosteroids in the treatment of bacterial sepsis: A double-blind study with pharmacological doses,, Antimicrobial Agents Chemother., 10 (1970), 175. Google Scholar |
[14] |
R. Kumar, G. Clermont, Y. Vodovotz and C. C. Chow, The dynamics of acute inflammation,, J. Theor. Biol., 230 (2004), 145.
doi: doi:10.1016/j.jtbi.2004.04.044. |
[15] |
M. M. Levy, M. P. Fink, J. C. Marshall, E. Abraham, D. Angus, D. Cook, J. Cohen, S. M. Opal, J. L. Vincent and G. Ramsay, 2001 SCCM/ESICM/ACCP/ATS/SIS International Sepsis Definitions Conference,, Crit. Care Med., 31 (2003), 250.
doi: doi:10.1097/01.CCM.0000050454.01978.3B. |
[16] |
D. Lipiner-Friedman, C. L. Sprung, P. F. Laterre, Y. Weiss, S. V. Goodman, M. Vogeser, J. Briegel, D. Keh, M. Singer, R. Moreno, E. Bellissant and D. Annane, Adrenal function in sepsis: The retrospective Corticus cohort study,, Crit. Care Med., 35 (2007), 1012.
doi: doi:10.1097/01.CCM.0000259465.92018.6E. |
[17] |
J. C. Marshall, E. Deitch, L. L. Moldawer, S. Opal, H. Redl and P. T. van Der, Preclinical models of shock and sepsis: What can they tell us?,, Shock, 24 (Suppl. 1) (2005), 1.
doi: doi:10.1097/01.shk.0000191383.34066.4b. |
[18] |
B. Ogunnaike and W. Ray, "Process Dynamics, Modeling, and Control,", Oxford University Press, (1994). Google Scholar |
[19] |
R. S. Parker, F. J. Doyle, III and N. A. Peppas, The intravenous route to blood glucose control,, IEEE Eng. Med. Biol. Mag., 20 (2001), 65.
doi: doi:10.1109/51.897829. |
[20] |
A. M. Reynolds, J. Rubin, G. Clermont, J. Day, Y. Vodovotz and B. Ermentrout, A reduced mathematical model of the acute inflammatory response: I Derivation of the model and analysis of anti-inflammation,, J. Theor. Biol., 242 (2006), 220.
doi: doi:10.1016/j.jtbi.2006.02.016. |
[21] |
Y. Vodovotz, C. C. Chow, J. Bartels, C. Lagoa, J. M. Prince, R. M. Levy, R. Kumar, J. Day, J. Rubin, G. Constantine, T. R. Billiar, M. P. Fink and G. Clermont, In silico models of acute inflammation in animals,, Shock, 26 (2006), 235.
doi: doi:10.1097/01.shk.0000225413.13866.fo. |
[22] |
H. D. Volk, P. Reinke and W. D. Docke, Clinical aspects: From systemic inflammation to 'immunoparalysis',, Chem. Immunol., 74 (2000), 162.
doi: doi:10.1159/000058753. |
show all references
References:
[1] |
D. Annane, V. Sebille, C. Charpentier, P. E. Bollaert, B. Francois, J. M. Korach, G. Capellier, Y. Cohen, E. Azoulay, G. Troche, P. Chaumet-Riffaut and E. Bellissant, Effect of treatment with low doses of hydrocortisone and fludrocortisone on mortality in patients with septic shock,, JAMA, 288 (2002), 862. Google Scholar |
[2] |
R. C. Bone, The search for a magic bullet to fight sepsis,, JAMA, 269 (1993), 2266. Google Scholar |
[3] |
R. C. Bone, Why sepsis trials fail,, JAMA, 276 (1996), 565. Google Scholar |
[4] |
R. C. Bone, Immunologic dissonance: A continuing evolution in our understanding of the systemic inflammatory response syndrome (SIRS) and the multiple organ dysfunction syndrome (MODS),, Ann. Intern. Med., 125 (1996), 680. Google Scholar |
[5] |
C. C. Chow, G. Clermont, R. Kumar, C. Lagoa, Z. Tawadrous, D. Gallo, B. Betten, J. Bartels, G. Constantine, M. P. Fink, T. R. Billiar and Y. Vodovotz, The acute inflammatory response in diverse shock states,, Shock, 24 (2005), 74.
doi: doi:10.1097/01.shk.0000168526.97716.f3. |
[6] |
A. S. Cross, S. M. Opal, K. Bhattacharjee, S. T. Donta, P. N. Peduzzi, E. Furer, J. U. Que and S. J. Cryz, Immunotherapy of sepsis: Flawed concept or faulty implementation?,, Vaccine, 17 (Suppl. 3) (1999).
doi: doi:10.1016/S0264-410X(99)00230-3. |
[7] |
A. S. Cross and S. M. Opal, A new paradigm for the treatment of sepsis: Is it time to consider combination therapy,, Ann. Intern. Med., 138 (2003), 502. Google Scholar |
[8] |
S. Daun, J. Rubin, Y. V. Vodovotz, A. Roy, R. S. Parker and G. Clermont, An ensemble of models of the acute inflammatory response to bacterial lipopolysaccharide in rats: Results from parameter space reduction,, J. Theor. Biol., 253 (2008), 843.
doi: doi:10.1016/j.jtbi.2008.04.033. |
[9] |
J. Day, J. Rubin, Y. Vodovotz, C. C. Chow, A. Reynolds and G. Clermont, A reduced mathematical model of the acute inflammatory response II. Capturing scenarios of repeated endotoxin administration,, J. Theor. Biol., 242 (2006), 237.
doi: doi:10.1016/j.jtbi.2006.02.015. |
[10] |
R. P. Dellinger, M. M. Levy, J. M. Carlet, J. Bion, M. M. Parker, R. Jaeschke, K. Reinhart, D. C. Angus, C. Brun-Buisson, R. Beale, T. Calandra, J. F. Dhainaut, H. Gerlach, M. Harvey, J. J. Marini, J. Marshall, M. Ranieri, G. Ramsay, J. Sevransky, B. T. Thompson, S. Townsend, J. S. Vender, J. L. Zimmerman and J. L. Vincent, Surviving Sepsis Campaign: International guidelines for management of severe sepsis and septic shock: 2008,, Crit. Care Med., 36 (2008), 296.
doi: doi:10.1097/01.CCM.0000298158.12101.41. |
[11] |
F. Doyle, L. Jovanovic, D. Seborg, R. S. Parker, B. W. Bequette, A. M. Jeffrey, X. Xia, I. K. Craig and T. McAvoy, A tutorial on biomedical process control,, J. Proc. Con., 17 (2007), 571.
doi: doi:10.1016/j.jprocont.2007.01.012. |
[12] |
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.
doi: doi:10.1016/j.compbiomed.2007.12.003. |
[13] |
J. Klastersky and R. Capel, Adreno-corticosteroids in the treatment of bacterial sepsis: A double-blind study with pharmacological doses,, Antimicrobial Agents Chemother., 10 (1970), 175. Google Scholar |
[14] |
R. Kumar, G. Clermont, Y. Vodovotz and C. C. Chow, The dynamics of acute inflammation,, J. Theor. Biol., 230 (2004), 145.
doi: doi:10.1016/j.jtbi.2004.04.044. |
[15] |
M. M. Levy, M. P. Fink, J. C. Marshall, E. Abraham, D. Angus, D. Cook, J. Cohen, S. M. Opal, J. L. Vincent and G. Ramsay, 2001 SCCM/ESICM/ACCP/ATS/SIS International Sepsis Definitions Conference,, Crit. Care Med., 31 (2003), 250.
doi: doi:10.1097/01.CCM.0000050454.01978.3B. |
[16] |
D. Lipiner-Friedman, C. L. Sprung, P. F. Laterre, Y. Weiss, S. V. Goodman, M. Vogeser, J. Briegel, D. Keh, M. Singer, R. Moreno, E. Bellissant and D. Annane, Adrenal function in sepsis: The retrospective Corticus cohort study,, Crit. Care Med., 35 (2007), 1012.
doi: doi:10.1097/01.CCM.0000259465.92018.6E. |
[17] |
J. C. Marshall, E. Deitch, L. L. Moldawer, S. Opal, H. Redl and P. T. van Der, Preclinical models of shock and sepsis: What can they tell us?,, Shock, 24 (Suppl. 1) (2005), 1.
doi: doi:10.1097/01.shk.0000191383.34066.4b. |
[18] |
B. Ogunnaike and W. Ray, "Process Dynamics, Modeling, and Control,", Oxford University Press, (1994). Google Scholar |
[19] |
R. S. Parker, F. J. Doyle, III and N. A. Peppas, The intravenous route to blood glucose control,, IEEE Eng. Med. Biol. Mag., 20 (2001), 65.
doi: doi:10.1109/51.897829. |
[20] |
A. M. Reynolds, J. Rubin, G. Clermont, J. Day, Y. Vodovotz and B. Ermentrout, A reduced mathematical model of the acute inflammatory response: I Derivation of the model and analysis of anti-inflammation,, J. Theor. Biol., 242 (2006), 220.
doi: doi:10.1016/j.jtbi.2006.02.016. |
[21] |
Y. Vodovotz, C. C. Chow, J. Bartels, C. Lagoa, J. M. Prince, R. M. Levy, R. Kumar, J. Day, J. Rubin, G. Constantine, T. R. Billiar, M. P. Fink and G. Clermont, In silico models of acute inflammation in animals,, Shock, 26 (2006), 235.
doi: doi:10.1097/01.shk.0000225413.13866.fo. |
[22] |
H. D. Volk, P. Reinke and W. D. Docke, Clinical aspects: From systemic inflammation to 'immunoparalysis',, Chem. Immunol., 74 (2000), 162.
doi: doi:10.1159/000058753. |
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