The Space-Jump Model of the Movement of Tumor Cells and Healthy Cells

We establish the interaction model of two cell populations following the concept of the random-walk, and assume the cell movement is constrained by space limitation primarily. Furthermore, we analyze the model to obtain the behavior of two cell populations as time is closed to initial state and far...

Full description

Saved in:
Bibliographic Details
Main Authors: Meng-Rong Li, Yu-Ju Lin, Tzong-Hann Shieh
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/840891
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1849307309237338112
author Meng-Rong Li
Yu-Ju Lin
Tzong-Hann Shieh
author_facet Meng-Rong Li
Yu-Ju Lin
Tzong-Hann Shieh
author_sort Meng-Rong Li
collection DOAJ
description We establish the interaction model of two cell populations following the concept of the random-walk, and assume the cell movement is constrained by space limitation primarily. Furthermore, we analyze the model to obtain the behavior of two cell populations as time is closed to initial state and far into the future.
format Article
id doaj-art-2301bb14222f49d8aa16042e07cfc7a4
institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2014-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-2301bb14222f49d8aa16042e07cfc7a42025-08-20T03:54:48ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/840891840891The Space-Jump Model of the Movement of Tumor Cells and Healthy CellsMeng-Rong Li0Yu-Ju Lin1Tzong-Hann Shieh2Department of Mathematical Sciences, National Chengchi University, No. 64, Section 2, ZhipNan Road, Wenshan District, Taipei 11605, TaiwanDepartment of Mathematical Sciences, National Chengchi University, No. 64, Section 2, ZhipNan Road, Wenshan District, Taipei 11605, TaiwanDepartment of Aerospace and Systems Engineering, Feng Chia University, No. 100 Wenhwa Road, Seatwen, Taichung 40724, TaiwanWe establish the interaction model of two cell populations following the concept of the random-walk, and assume the cell movement is constrained by space limitation primarily. Furthermore, we analyze the model to obtain the behavior of two cell populations as time is closed to initial state and far into the future.http://dx.doi.org/10.1155/2014/840891
spellingShingle Meng-Rong Li
Yu-Ju Lin
Tzong-Hann Shieh
The Space-Jump Model of the Movement of Tumor Cells and Healthy Cells
Abstract and Applied Analysis
title The Space-Jump Model of the Movement of Tumor Cells and Healthy Cells
title_full The Space-Jump Model of the Movement of Tumor Cells and Healthy Cells
title_fullStr The Space-Jump Model of the Movement of Tumor Cells and Healthy Cells
title_full_unstemmed The Space-Jump Model of the Movement of Tumor Cells and Healthy Cells
title_short The Space-Jump Model of the Movement of Tumor Cells and Healthy Cells
title_sort space jump model of the movement of tumor cells and healthy cells
url http://dx.doi.org/10.1155/2014/840891
work_keys_str_mv AT mengrongli thespacejumpmodelofthemovementoftumorcellsandhealthycells
AT yujulin thespacejumpmodelofthemovementoftumorcellsandhealthycells
AT tzonghannshieh thespacejumpmodelofthemovementoftumorcellsandhealthycells
AT mengrongli spacejumpmodelofthemovementoftumorcellsandhealthycells
AT yujulin spacejumpmodelofthemovementoftumorcellsandhealthycells
AT tzonghannshieh spacejumpmodelofthemovementoftumorcellsandhealthycells