Cited by 110Mathematical Biology Tumor GrowthNanoparticle-Based Drug DeliveryCancer Cells and Metastasis

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Effect of tumor shape and size on drug delivery to solid tumors

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Soltani, M, Chen, Pu·2012·Journal of Biological Engineering

Abstract

: Tumor shape and size effect on drug delivery to solid tumors are studied, based on the application of the governing equations for fluid flow, i.e., the conservation laws for mass and momentum, to physiological systems containing solid tumors. The discretized form of the governing equations, with appropriate boundary conditions, is developed for predefined tumor geometries. The governing equations are solved using a numerical method, the element-based finite volume method. Interstitial fluid pressure and velocity are used to show the details of drug delivery in a solid tumor, under an assumption that drug particles flow with the interstitial fluid. Drug delivery problems have been most extensively researched in spherical tumors, which have been the simplest to examine with the analytical methods. With our numerical method, however, more complex shapes of the tumor can be studied. The numerical model of fluid flow in solid tumors previously introduced by our group is further developed to incorporate and investigate non-spherical tumors such as prolate and oblate ones. Also the effects of the surface area per unit volume of the tissue, vascular and interstitial hydraulic conductivity on drug delivery are investigated.

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  • Tumor size and associated hypoxia levels affect the efficacy of drug delivery to the tumor.

    “recently published literature discusses the role of the size of a tumor (and the associated hypoxia levels) on its aggressiveness [81,82,83,84,85] and on the efficacy of drug delivery to it [84,86,87].”

    From The Tumor-on-Chip: Recent Advances in the Development of Microfluidic Systems to Recapitulate the Physiology of Solid Tumors (2019) · cites this paper as [86]

    The Conclusions (page unavailable) state that the modeled drug-transport flux depends strongly on tumor size, supporting the size-and-delivery part of the claim. The paper discusses blood supply and interstitial pressure as delivery barriers, but the passages in our copy do not link associated hypoxia levels to drug-delivery efficacy (searched: hypoxia). (LLM, conf=0.88)

    Experimental — accuracy not yet measured

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Research works printed but not linked: 43

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Metadata

Authors
Soltani, M., & Chen, P.
Affiliations
University of Waterloo (CA)
Corresponding author
Chen, Pu
Venue
Journal of Biological Engineering
Published
2012-12
Volume
6
Issue
1
Pages
4-4
ISSN
1754-1611 (ISSN-L)
OpenAlex
W2128765685
Cited by
110
References
1
Citations by year
2026: 5 · 2025: 12 · 2024: 3 · 2023: 5 · 2022: 10 · 2021: 21 · 2020: 10 · 2019: 13 · 2018: 9 · 2017: 4 · 2016: 5 · 2015: 5 · 2014: 6 · 2013: 2
FWCI
4.62
Type
journal article
Language
en
Open access
Locations
  • Journal of Biological Engineering (publishedVersion, cc-by)
  • Europe PMC (PubMed Central) (publishedVersion, cc-by)
  • PubMed Central (publishedVersion, cc-by)
  • PubMed (publishedVersion)
  • DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion)
Topics
  • Physical Sciences › Mathematics › Modeling and Simulation › Mathematical Biology Tumor Growth
  • Physical Sciences › Materials Science › Biomaterials › Nanoparticle-Based Drug Delivery
  • Health Sciences › Medicine › Oncology › Cancer Cells and Metastasis
Keywords
tumor shape, tumor size, drug delivery, solid tumors, interstitial fluid flow, interstitial fluid pressure, finite volume method, tumor geometry

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