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

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Pubblicato in:PLoS One vol. 16, no. 2 (Feb 2021), p. e0247641
Autore principale: Lu, Yuankai
Altri autori: Hu, Dan, Ying, Wenjun
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Public Library of Science
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100 1 |a Lu, Yuankai 
245 1 |a A fast numerical method for oxygen supply in tissue with complex blood vessel network 
260 |b Public Library of Science  |c Feb 2021 
513 |a Journal Article 
520 3 |a 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. 
651 4 |a China 
653 |a Physiology 
653 |a Oxygen 
653 |a Wound healing 
653 |a Numerical analysis 
653 |a Computer applications 
653 |a Numerical methods 
653 |a Angiogenesis 
653 |a Drafting software 
653 |a Simulation 
653 |a Computer programs 
653 |a Partial differential equations 
653 |a Numerical simulations 
653 |a Blood vessels 
653 |a Editing 
653 |a Algorithms 
653 |a Mathematical models 
653 |a Finite element analysis 
653 |a Geometry 
653 |a Ordinary differential equations 
653 |a Software 
653 |a Environmental 
700 1 |a Hu, Dan 
700 1 |a Ying, Wenjun 
773 0 |t PLoS One  |g vol. 16, no. 2 (Feb 2021), p. e0247641 
786 0 |d ProQuest  |t Health & Medical Collection 
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