ArticlePloS one2021
A fast numerical method for oxygen supply in tissue with complex blood vessel network.
Article in PloS one, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 9 papers.
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Who cites it
9 citing papers in PubMed, 15 citations in OpenAlex.
- From reactive oxygen to cancer cell death: the science behind photodynamic therapy.Lasers in medical science · 2025Review
- Lamina Cribrosa Hypoxia Sensitivity to Variations of Anatomy and Vascular Factors.Journal of biomechanical engineering · 2025Article
- Fluorinated Porcine Bone-Derived Hydroxyapatite Promotes Vascularized Osteogenesis by Coordinating Human Bone Marrow Mesenchymal Stem Cell/Human Umbilical Vein Endothelial Cell Complexes.Bioengineering (Basel, Switzerland) · 2024Article
- Impact of anatomic variability and other vascular factors on lamina cribrosa hypoxia.bioRxiv : the preprint server for biology · 2024Article
- Impact of elevated IOP on lamina cribrosa oxygenation; A combined experimental-computational study on monkeys.bioRxiv : the preprint server for biology · 2024Article
- The Robust Lamina Cribrosa Vasculature: Perfusion and Oxygenation Under Elevated Intraocular Pressure.Investigative ophthalmology & visual science · 2024Article
- Modeling Preclinical Cancer Studies under Physioxia to Enhance Clinical Translation.Cancer research · 2022Review
- Eye-specific 3D modeling of factors influencing oxygen concentration in the lamina cribrosa.Experimental eye research · 2022Article
- Impact of Elevated Intraocular Pressure on Lamina Cribrosa Oxygenation: A Combined Experimental-Computational Study on Monkeys.Ophthalmology scienceArticle
Corrections and comments
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Authors and funding
3 authors at 1 institution in 1 country.
Funding
No grant is acknowledged in the PubMed record.
Abstract
Angiogenesis plays an essential role in many pathological processes such as tumor growth, wound healing, and keloid development. Low oxygen level is the main driving stimulus for angiogenesis. In an animal tissue, the oxygen level is mainly determined by three effects-the oxygen delivery through blood flow in a refined vessel network, the oxygen diffusion from blood to tissue, and the oxygen consumption in cells. Evaluation of the oxygen field is usually the bottleneck in large scale modeling and simulation of angiogenesis and related physiological processes. In this work, a fast numerical method is developed for the simulation of oxygen supply in tissue with a large-scale complex vessel network. This method employs an implicit finite-difference scheme to compute the oxygen field. By virtue of an oxygen source distribution technique from vessel center lines to mesh points and a corresponding post-processing technique that eliminate the local numerical error induced by source distribution, square mesh with relatively large mesh sizes can be applied while sufficient numerical accuracy is maintained. The new method has computational complexity which is slightly higher than linear with respect to the number of mesh points and has a convergence order which is slightly lower than second order with respect to the mesh size. With this new method, accurate evaluation of the oxygen field in a fully vascularized tissue on the scale of centimeter becomes possible.
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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.