The method of lines for the numerical solution of a mathematical model for capillary formation: The role of tumor angiogenic factor in the extra-cellular matrix-Reference-Cited by-同舟云学术

The method of lines for the numerical solution of a mathematical model for capillary formation: The role of tumor angiogenic factor in the extra-cellular matrix

Published:2007-03 Issue:1 Volume:186 Page:891-897
ISSN:0096-3003
Container-title:Applied Mathematics and Computation
language:en
Short-container-title:Applied Mathematics and Computation

Author:

Erdem Arzu,Pamuk Serdal

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics

Reference7 articles.

1. MOL solvers for hyperbolic PDEs with source terms;Ahmad;Math. Comput. Simulat.,2001

2. Interactive solution of partial differential equations by the Method-of-lines;Korn;Math. Comput. Simulat.,1999

3. Mathematical modeling of capillary formation and development in tumor angiogenesis: penetration into the stroma;Levine;Bull. Math. Biol.,2001

4. On the validity and stability of the method of lines for the solution of partial differential equations;Mikhail;Appl. Math. Comput.,1987

5. S. Pamuk, A. Erdem, The method of lines for the numerical solution of a mathematical model for capillary formation: The role of endothelial cells in the capillary, Appl. Math. Comput., in press, doi:10.1016/j.amc.2006.08.024.

Cited by 8 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. Application of hyperbolic heat conduction model in thermal lens spectroscopy;Numerical Heat Transfer, Part A: Applications;2023-08-06

2. A generalization of the method of lines for the numerical solution of coupled, forced vibration of beams;Mathematics and Computers in Simulation;2020-04

3. Two-dimensional capillary formation model in tumor angiogenesis problem through spectral meshless radial point interpolation;Engineering with Computers;2019-01-02

4. A reproducing kernel Hilbert space pseudospectral method for numerical investigation of a two-dimensional capillary formation model in tumor angiogenesis problem;Neural Computing and Applications;2017-08-30

5. Electrochemical monitoring of biointeraction by graphene-based material modified pencil graphite electrode;Biosensors and Bioelectronics;2017-06