Qualitative analysis of a mean field model of tumor-immune system competition

Elena De Angelis; Pierre Emmanuel Jabin

doi:10.1142/S0218202503002453

Qualitative analysis of a mean field model of tumor-immune system competition

Elena De Angelis, Pierre Emmanuel Jabin

Mathematics

Research output: Contribution to journal › Article › peer-review

47 Scopus citations

Abstract

This paper deals with the qualitative analysis of a model related to the immune response to the evolution of the progression of endothelial cells which have lost their differentiation and start their evolution toward methastatic states. We prove the existence of solutions to the Cauchy problem related to the model. The asymptotic behavior in time of our solutions is also investigated.

Original language	English (US)
Pages (from-to)	187-206
Number of pages	20
Journal	Mathematical Models and Methods in Applied Sciences
Volume	13
Issue number	2
DOIs	https://doi.org/10.1142/S0218202503002453
State	Published - Feb 2003

All Science Journal Classification (ASJC) codes

Modeling and Simulation
Applied Mathematics

Access to Document

10.1142/S0218202503002453

Cite this

@article{80b6df2e8d764c4d8e0646d8f0cd4866,

title = "Qualitative analysis of a mean field model of tumor-immune system competition",

abstract = "This paper deals with the qualitative analysis of a model related to the immune response to the evolution of the progression of endothelial cells which have lost their differentiation and start their evolution toward methastatic states. We prove the existence of solutions to the Cauchy problem related to the model. The asymptotic behavior in time of our solutions is also investigated.",

author = "{De Angelis}, Elena and Jabin, {Pierre Emmanuel}",

year = "2003",

month = feb,

doi = "10.1142/S0218202503002453",

language = "English (US)",

volume = "13",

pages = "187--206",

journal = "Mathematical Models and Methods in Applied Sciences",

issn = "0218-2025",

publisher = "World Scientific Publishing Co. Pte Ltd",

number = "2",

}

TY - JOUR

T1 - Qualitative analysis of a mean field model of tumor-immune system competition

AU - De Angelis, Elena

AU - Jabin, Pierre Emmanuel

PY - 2003/2

Y1 - 2003/2

N2 - This paper deals with the qualitative analysis of a model related to the immune response to the evolution of the progression of endothelial cells which have lost their differentiation and start their evolution toward methastatic states. We prove the existence of solutions to the Cauchy problem related to the model. The asymptotic behavior in time of our solutions is also investigated.

AB - This paper deals with the qualitative analysis of a model related to the immune response to the evolution of the progression of endothelial cells which have lost their differentiation and start their evolution toward methastatic states. We prove the existence of solutions to the Cauchy problem related to the model. The asymptotic behavior in time of our solutions is also investigated.

UR - http://www.scopus.com/inward/record.url?scp=0037296957&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0037296957&partnerID=8YFLogxK

U2 - 10.1142/S0218202503002453

DO - 10.1142/S0218202503002453

M3 - Article

AN - SCOPUS:0037296957

SN - 0218-2025

VL - 13

SP - 187

EP - 206

JO - Mathematical Models and Methods in Applied Sciences

JF - Mathematical Models and Methods in Applied Sciences

IS - 2

ER -

Qualitative analysis of a mean field model of tumor-immune system competition

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this