On the Qualitative Analysis of the Uniqueness of the Movement of  Endothelial Cells

On the qualitative analysis of the uniqu Movement

Makale detayları

On the Qualitative Analysis of the Uniqueness of the Movement of Endothelial Cells

Yazarlar:

On the qualitative analysis of the uniqu Movement

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2010 Vol.34 Issue 3, pp.367-376

Belge Tipi:

Makale

Yayın Tarihi:

2/2010

Belge Dili:

Türkçe

Document ID (Org No.):

2000748089

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Anahtar kelimeler:

Existence; uniqueness; tumor angiogenesis; steady-state solution; transition probability density function.

Özet:

 

This paper extends the work of Pamuk (2003) by showing  mathematically that the movement of endothelial cells, to the regions  where active enzyme is large or where fibronectin is small, is unique.  To do this, we obtain the existence and uniqueness of the steady-state  solution of an initial-boundary value problem which mathematically  models endothelial cell movement in tumor angiogenesis.  A specific  example showing the instability of this steady-state solution is  provided.

 

This paper extends the work of Pamuk (2003) by showing  mathematically that the movement of endothelial cells, to the regions  where active enzyme is large or where fibronectin is small, is unique.  To do this, we obtain the existence and uniqueness of the steady-state  solution of an initial-boundary value problem which mathematically  models endothelial cell movement in tumor angiogenesis.  A specific  example showing the instability of this steady-state solution is  provided.

Makale detayları

On the Qualitative Analysis of the Uniqueness of the Movement of Endothelial Cells

Yazarlar: On the qualitative analysis of the uniqu Movement

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2010 Vol.34 Issue 3, pp.367-376

Belge Tipi: Makale

Yayın Tarihi: 2/2010

Belge Dili: Türkçe

Document ID (Org No.): 2000748089

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Existence; uniqueness; tumor angiogenesis; steady-state solution; transition probability density function.

Sayı

Yazarlar:

On the qualitative analysis of the uniqu Movement

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2010 Vol.34 Issue 3, pp.367-376

Belge Tipi:

Makale

Yayın Tarihi:

2/2010

Belge Dili:

Türkçe

Document ID (Org No.):

2000748089

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098