The induction of particular brain dynamics via neural pharmacology involves the selection of particular agonists from among a class of candidate drugs and the dosing of the selected drugs according to a temporal schedule. Such a problem is made nontrivial due to the array of synergistic drugs available to practitioners whose use, in some cases, may risk the creation of dose-dependent effects that significantly deviate from the desired outcome. Here, we develop an expanded pharmacodynamic (PD) modeling paradigm and show how it can facilitate optimal construction of pharmacologic regimens, i.e., drug selection and dose schedules. The key feature of the design method is the explicit dynamical-system based modeling of how a drug binds to its molecular targets. In this framework, a particular combination of drugs creates a time-varying trajectory in a multidimensional molecular/receptor target space, subsets of which correspond to different behavioral phenotypes. By embedding this model in optimal control theory, we show how qualitatively different dosing strategies can be synthesized depending on the particular objective function considered.
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August 2016
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A Control-Theoretic Approach to Neural Pharmacology: Optimizing Drug Selection and Dosing
Gautam Kumar,
Gautam Kumar
Department of Electrical and Systems Engineering,
Washington University,
St. Louis, MO 63130
e-mail: gautam.kumar@wustl.edu
Washington University,
St. Louis, MO 63130
e-mail: gautam.kumar@wustl.edu
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Seul Ah Kim,
Seul Ah Kim
Department of Biomedical Engineering,
Washington University,
St. Louis, MO 63130
e-mail: seulah.kim@wustl.edu
Washington University,
St. Louis, MO 63130
e-mail: seulah.kim@wustl.edu
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ShiNung Ching
ShiNung Ching
Department of Electrical and Systems Engineering,
Division of Biology and Biomedical Sciences,
Washington University,
St. Louis, MO 63130
e-mail: shinung@wustl.edu
Division of Biology and Biomedical Sciences,
Washington University,
St. Louis, MO 63130
e-mail: shinung@wustl.edu
Search for other works by this author on:
Gautam Kumar
Department of Electrical and Systems Engineering,
Washington University,
St. Louis, MO 63130
e-mail: gautam.kumar@wustl.edu
Washington University,
St. Louis, MO 63130
e-mail: gautam.kumar@wustl.edu
Seul Ah Kim
Department of Biomedical Engineering,
Washington University,
St. Louis, MO 63130
e-mail: seulah.kim@wustl.edu
Washington University,
St. Louis, MO 63130
e-mail: seulah.kim@wustl.edu
ShiNung Ching
Department of Electrical and Systems Engineering,
Division of Biology and Biomedical Sciences,
Washington University,
St. Louis, MO 63130
e-mail: shinung@wustl.edu
Division of Biology and Biomedical Sciences,
Washington University,
St. Louis, MO 63130
e-mail: shinung@wustl.edu
1Corresponding author.
Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received July 24, 2015; final manuscript received March 2, 2016; published online May 25, 2016. Assoc. Editor: Jongeun Choi.
J. Dyn. Sys., Meas., Control. Aug 2016, 138(8): 084501 (8 pages)
Published Online: May 25, 2016
Article history
Received:
July 24, 2015
Revised:
March 2, 2016
Citation
Kumar, G., Ah Kim, S., and Ching, S. (May 25, 2016). "A Control-Theoretic Approach to Neural Pharmacology: Optimizing Drug Selection and Dosing." ASME. J. Dyn. Sys., Meas., Control. August 2016; 138(8): 084501. https://doi.org/10.1115/1.4033102
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