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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: [email protected] 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.
Details
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