Generalized moving least squares approximation for the solution of local and non-local models of cancer cell invasion of tissue under the effect of adhesion in one- and two-dimensional spaces-Reference-Cited by-同舟云学术

Generalized moving least squares approximation for the solution of local and non-local models of cancer cell invasion of tissue under the effect of adhesion in one- and two-dimensional spaces

Published:2020-09 Issue: Volume:124 Page:103803
ISSN:0010-4825
Container-title:Computers in Biology and Medicine
language:en
Short-container-title:Computers in Biology and Medicine

Author:

Mohammadi Vahid,Dehghan Mehdi

Publisher

Elsevier BV

Subject

Health Informatics,Computer Science Applications

Reference50 articles.

1. Moving mesh partial differential equations modelling to describe oxygen induced effects on avascular tumour growth;Amoddeo;Cogent Phys.,2015

2. Adaptive grid modelling for cancer cells in the early stage of invasion;Amoddeo;Comput. Math. Appl.,2015

3. Mathematical Modelling of Cancer Cell Invasion of Tissue: Discrete and Continuum Approaches to Studying the Central Role of Adhesion, PhD Thesis;Andasari,2011

4. Continuous and discrete mathematical models of tumor-induced angiogenesis;Anderson;Bull. Math. Biol.,1998

5. Mathematical modelling of tumour invasion and metastasis;Anderson;Comput. Math. Methods Med.,2000

Cited by 10 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Systematic simulation of tumor cell invasion and migration in response to time-varying rotating magnetic field;Biomechanics and Modeling in Mechanobiology;2024-05-27

2. A new active contraction model for the myocardium using a modified hill model;Computers in Biology and Medicine;2022-06

3. Finite element approximation of a Keller–Segel model with additional self- and cross-diffusion terms and a logistic source;Communications in Nonlinear Science and Numerical Simulation;2022-01

4. Existence of tumor invasion model with mesenchymal and epithelial transition processes in variable exponent spaces;Partial Differential Equations in Applied Mathematics;2021-12

5. Desynchronization of stochastically synchronized neural populations through phase distribution control: a numerical simulation approach;Nonlinear Dynamics;2021-04-05