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Mathematical Modeling of Concentration Flux in Thermosensitive Biopolymer-assisted Drug Delivery

Scott Poh, Chase Leehy, Jolin Rodrigues, Eric Sherer

Abstract


A mathematical model of drug concentration flux across thermosensitive biopolymer with degradable cross-link was developed to predict the effect of the physical configuration and chemical composition of thermosensitive biopolymer on the kinetics of MK2 inhibitor peptide drug release. The overall goal of this research was to efficiently model the 3D drug release kinetics of a controlled drug from a double-shell spherical nanoparticle. The newly developed model would be used to predict the diffusion coefficient and mass flux of any drug released from a spherical nanoparticle by utilizing experimental data in pharmacology. Mass transport principles such as Fick’s Law and the continuity equation were applied to experimental data from an ongoing drug release study. The subsequent analysis investigated the flux of the drug particles over time, the change of concentration over a radius of the sphere, and the percentage of drug remaining. This computational study culminated in estimating the location of the inner shell and the limit of drug transport, which can be used to tailor the physical and chemical characteristics of nanoparticles for the controlled release and delivery of encapsulated drugs in subsequent models.


Keywords


Nanoparticles, Drug delivery, Drug release, Pharmacology, Mathematical Flux Model

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References


Riehemann, K.; Schneider, S. W.; Luger, at el. Nanomedicine--challenge and perspectives. Angew Chem Int Ed Engl 2009, 48 (5), 872–897.

Farjadian, F.; Ghasemi, A.; Gohari, O.; et al. Nanopharmaceuticals and nanomedicines currently on the market: challenges and opportunities. Nanomedicine (Lond) 2019, 14 (1), 93–126.

Du, J.; Lane, L. A.; Nie, S., Stimuli-responsive nanoparticles for targeting the tumor microenvironment. J Control Release 2015, 219, 205–214.

Chase Leehy, Jolin Rodrigues, Eric Sherer, Scott Poh. Mathematical Modeling of Concentration Flux in Thermosensitive Biopolymer-assisted Drug Delivery. Journal of Thermal Engineering and Applications. 2022; 9(3): 9–15p..

McMasters, J.; Poh, S.; Lin, J. B.; et al. Delivery of anti-inflammatory peptides from hollow PEGylated poly(NIPAM) nanoparticles reduces inflammation in an ex vivo osteoarthritis model. J Control Release 2017, 258, 161-170.

Lin, J. B.; Poh, S.; Panitch, A., Controlled release of anti-inflammatory peptides from reducible thermosensitive nanoparticles suppresses cartilage inflammation. Nanomedicine 2016, 12 (7), 2095–2100.

Dai, S.; Ravi, P.; Tam, K. C., Thermo- and photo-responsive polymeric systems. Soft Matter 2009, 5 (13), 2513-2533.

Lyon, L. A.; Meng, Z.; Singh, N.; et al. Thermoresponsive microgel-based materials. Chemical Society Reviews 2009, 38 (4), 865–874.

Rehman, M.; Ihsan, A.; Madni, A.; et al. Solid lipid nanoparticles for thermoresponsive targeting: evidence from spectrophotometry, electrochemical, and cytotoxicity studies. Int J Nanomedicine 2017, 12, 8325–8336.

Rahim, M. A.; Jan, N.; Khan, S. et al. Recent Advancements in Stimuli Responsive Drug Delivery Platforms for Active and Passive Cancer Targeting. Cancers (Basel) 2021, 13 (4), 670.

Wijmans, J. G.; Baker, R. W., The solution-diffusion model: a review. Journal of Membrane Science 1995, 107 (1), 1–21.

Terzyk, A. P.; Gauden, P. A., The Simple Procedue of the calculation of diffusion coefficient for adsorption on spherical and cylindrical adsorbent particles. Separation Science and Technology 2001, 36 (4), 513–525.

Milligen, B. P. v.; Bons, P. D.; Carreras, et al. On the applicability of Fick's law to diffusion in inhomogeneous systems. European Journal of Physics 2005, 26 (5), 913–925.


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