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. 2020 Oct 26;10:18220. doi: 10.1038/s41598-020-75253-9

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© The Author(s) 2020

Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.

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Kinetic modeling of FUS-assisted nanoparticle delivery into the brain. (a) Calculation of size-dependent BBB permeation of AuNPs based on a modified pore-flow model. The sizes of gaps opened in the BBB were assumed to be 20, 50, 100, and 200 nm. Other parameters used for the calculation are summarized in Table S1. (b) Calculation of size-dependent delivery of nanoparticles into the brain assisted by FUS, via the coupling of the BBB permeability model with nanoparticle elimination kinetics. The sizes of the gaps opened in the BBB gaps were assumed to be 20, 50, 100, and 200 nm. Other parameters used for the calculation can be found in Table S1. (c) Effect of r_g, k_rg, and A_k0 on the optimum AuNP size for FUS-assisted nanoparticle delivery into the brain. The diameter of AuNPs that showed the highest delivery efficiency at each calculated condition was plotted against r_g, k_rg, and A_k0. r_g = 100 nm was used for the calculations to examine the effect of k_rg and A_k0.