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Ordinary Differential Equations and Applied Dynamics Commons™
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Articles 1 - 6 of 6
Full-Text Articles in Ordinary Differential Equations and Applied Dynamics
A Physiologically-Based Pharmacokinetic Model For Vancomycin, Rebekah White
A Physiologically-Based Pharmacokinetic Model For Vancomycin, Rebekah White
Undergraduate Honors Theses
Vancomycin is an antibiotic used for the treatment of systemic infections. It is given
intravenously usually every twelve or twenty-four hours. This particular drug has a
medium level of boundedness, with approximately fty percent of the drug being free
and thus physiologically eective. A physiologically-based pharmacokinetic (PBPK)
model was used to better understand the absorption, distribution, and elimination of
the drug. Using optimal parameters, the model could be used in the future to test
how various factors, such as BMI or excretion levels, might aect the concentration
of the antibiotic.
Comparison Of Two Parameter Estimation Techniques For Stochastic Models, Thomas C. Robacker
Comparison Of Two Parameter Estimation Techniques For Stochastic Models, Thomas C. Robacker
Electronic Theses and Dissertations
Parameter estimation techniques have been successfully and extensively applied to deterministic models based on ordinary differential equations but are in early development for stochastic models. In this thesis, we first investigate using parameter estimation techniques for a deterministic model to approximate parameters in a corresponding stochastic model. The basis behind this approach lies in the Kurtz limit theorem which implies that for large populations, the realizations of the stochastic model converge to the deterministic model. We show for two example models that this approach often fails to estimate parameters well when the population size is small. We then develop a …
Inżynieria Chemiczna Ćw., Wojciech M. Budzianowski
Tematyka Prac Doktorskich, Wojciech M. Budzianowski
Tematyka Prac Doktorskich, Wojciech M. Budzianowski
Wojciech Budzianowski
No abstract provided.
A Survey Of Mathematical Models Of Dengue Fever, Iurii Bakach
A Survey Of Mathematical Models Of Dengue Fever, Iurii Bakach
Electronic Theses and Dissertations
In this paper, we compare and contrast five models of Dengue fever. We evaluate each model using different scenarios and identify the strenghts and wecknesses of each of the model
Zespół Energii Odnawialnej I Zrównoważonego Rozwoju (Eozr), Wojciech M. Budzianowski
Zespół Energii Odnawialnej I Zrównoważonego Rozwoju (Eozr), Wojciech M. Budzianowski
Wojciech Budzianowski
No abstract provided.