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Regulated Feedback Networks with Degradation

Addai, Obeng A
http://rave.ohiolink.edu/etdc/view?acc_num=ysu1444046732

Abstract Details

2015, Master of Science in Mathematics, Youngstown State University, Department of Mathematics and Statistics.
Pharmacokinetic and pharmacodynamic (PK/PD)-models describe and predict the time course of drug effects resulting from a certain dosage administered to an organism. PK/PD models benefit all phases of preclinical and clinical drug development. Their wider application in clinical therapy is to determine the specific dosage for a patient. In this thesis, we review several PK/PD models and investigate the time-to-peak, T, of the models. We state and prove a theorem about the uniqueness of T. The theorem considers PK/PD modes which are linear and nonlinear in the response variable. We show that if the forcing function and the response function satisfy some conditions, then there exists only one peak in the response variable. We apply this theorem to several PK/PD models which have a unique T and show that the condition of the theorem were satisfied. The theorem is also used to investigate how T changes with respect to drug dosage D for the turnover models considered.
George Yates, PhD (Advisor)
Jozsi Jalics, PhD (Committee Member)
Alicia Prieto, PhD (Committee Member)
62 p.
Applied Mathematics; Biomedical Research; Mathematics
uniqueness of time to peak for some PK PD models; proof of single time to peak for a nonlinear feedback network; analysis on behavior of solution for some nonlinear feedback networks

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Citations

  • Addai, O. A. (2015). Regulated Feedback Networks with Degradation [Master's thesis, Youngstown State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=ysu1444046732

    APA Style (7th edition)

  • Addai, Obeng. Regulated Feedback Networks with Degradation . 2015. Youngstown State University, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=ysu1444046732.

    MLA Style (8th edition)

  • Addai, Obeng. "Regulated Feedback Networks with Degradation ." Master's thesis, Youngstown State University, 2015. http://rave.ohiolink.edu/etdc/view?acc_num=ysu1444046732

    Chicago Manual of Style (17th edition)

ysu1444046732
383
© 2015, all rights reserved.
This open access ETD is published by Youngstown State University and OhioLINK.