Biomedical Sciences ETDs
Publication Date
Spring 1-14-2018
Abstract
The prospects of nanoparticle-based drug delivery and imaging have been hindered by insufficient understanding of the effects of nanoparticle physicochemical properties on their in vivo disposition. Here, we present an integrative mathematical modeling and in vivo imaging approach to quantify the relationship between nanoparticle physicochemical properties, namely, size, surface charge, and surface chemistry, on their in vivo disposition kinetics in healthy rats. We developed simple master equations in closed-form to accurately represent the time-dependent concentration of nanoparticles in different regions of the body and obtain functional relationships for predictive purpose to support rational design of nanomedicine. We further used the observations of the in vivo study to inform a hybrid multiscale mathematical model to predict the global biodistribution of nanoparticles in the body and the spatiotemporal evolution of nanoparticles inside a simulated 2D tumor. The model is supposed to be an in silico tool to predict the effect of particle properties on biodistribution and clearance of nanoparticles and suggest design guidelines for optimizing the distribution to the target site.
Keywords
nanomedicine, pharmacokinetics, cancer, mathematical modeling, SPECT imaging, random walk
Document Type
Dissertation
Language
English
Degree Name
Biomedical Sciences
Level of Degree
Doctoral
Department Name
Biomedical Sciences Graduate Program
First Committee Member (Chair)
Elaine L. Bearer
Second Committee Member
Vittorio Cristini
Third Committee Member
C. Jeffrey Brinker
Fourth Committee Member
Bridget S. WIlson
Fifth Committee Member
Zhihui Wang
Recommended Citation
Dogra, Prashant. "MATHEMATICAL MODELING OF NANOPARTICLE BIODISTRIBUTION." (2018). https://digitalrepository.unm.edu/biom_etds/177