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A fast numerical method for oxygen supply in tissue with complex blood vessel network

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Publicado en:PLoS One vol. 16, no. 2 (Feb 2021), p. e0247641
Autor principal: Lu, Yuankai
Otros Autores: Hu, Dan, Ying, Wenjun
Publicado:
Public Library of Science
Materias:
China
Physiology
Oxygen
Wound healing
Numerical analysis
Computer applications
Numerical methods
Angiogenesis
Drafting software
Simulation
Computer programs
Partial differential equations
Numerical simulations
Blood vessels
Editing
Algorithms
Mathematical models
Finite element analysis
Geometry
Ordinary differential equations
Software
Environmental
Acceso en línea:Citation/Abstract
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Resumen:About the Authors: Yuankai Lu Roles Methodology, Software, Writing – original draft, Writing – review & editing Affiliation: School of Mathematical Sciences, Institute of Natural Sciences, and MOE-LSC, Shanghai Jiao Tong University, Shanghai, China ORCID logo https://orcid.org/0000-0003-3778-4198 Dan Hu Roles Conceptualization, Methodology, Supervision, Writing – review & editing * E-mail: hudan80@sjtu.edu.cn Affiliation: School of Mathematical Sciences, Institute of Natural Sciences, and MOE-LSC, Shanghai Jiao Tong University, Shanghai, China Wenjun Ying Roles Resources, Software Affiliation: School of Mathematical Sciences, Institute of Natural Sciences, and MOE-LSC, Shanghai Jiao Tong University, Shanghai, China Abstract Angiogenesis plays an essential role in many pathological processes such as tumor growth, wound healing, and keloid development. [...]existing techniques can hardly offer a complete spatial-temporal picture of oxygen field on microscopic scales. [...]theoretic modeling [18–20] and numerical simulation [21–26] is widely utilized in evaluating oxygen level and studying angiogenesis. [...]in most real applications, it is important to incorporate the complex vessel network structures into the model and numerical algorithms to evaluate the oxygen field in tissue. [...]the corresponding computational cost is huge for tissue with large-scale complex vessel network structure.
ISSN:1932-6203
DOI:10.1371/journal.pone.0247641
Fuente:Health & Medical Collection