A multiscale model for pH-tactic invasion with time-varying carrying capacities

We propose a model for acid-mediated tumour invasion involving two different scales: the microscopic one, for the dynamics of intracellular protons and their exchange with their extracellular counterparts, and the macroscopic scale of interactions between tumour cell and normal cell populations, along with the evolution of extracellular protons. We also account for the tactic behaviour of cancer cells, the latter being assumed to biase their motion according to a gradient of extracellular protons (following Bartel et al. (2012) pH-taxis: directional tumor cell migration along pH-gradients. Acta Physiol., 204, 113; Paradise et al. (2013) Directional cell migration in an extracellular pH gradient: a model study with an engineered cell line and primary microvascular endothelial cells. Exp. Cell Res., 319, 487-497; we call this pH taxis). A time dependent (and also time delayed) carrying capacity for the tumour cells in response to the effects of acidity is considered as well. The global well posedness of the resulting multiscale model is proved with a regularization and fixed point argument. Numerical simulations are performed to illustrate the behaviour of the model. © 2014 The Authors 2014.

Dergi Adı IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)
Dergi Cilt Bilgisi 80
Dergi Sayısı 5
Sayfalar 1300 - 1321
Yayın Yılı 2014
Eser Adı
[dc.title]
A multiscale model for pH-tactic invasion with time-varying carrying capacities
Yazar
[dc.contributor.author]
Stinner C.
Yazar
[dc.contributor.author]
Surulescu C.
Yazar
[dc.contributor.author]
Meral G.
Yayın Yılı
[dc.date.issued]
2014
Yayıncı
[dc.publisher]
Oxford University Press
Yayın Türü
[dc.type]
article
Özet
[dc.description.abstract]
We propose a model for acid-mediated tumour invasion involving two different scales: the microscopic one, for the dynamics of intracellular protons and their exchange with their extracellular counterparts, and the macroscopic scale of interactions between tumour cell and normal cell populations, along with the evolution of extracellular protons. We also account for the tactic behaviour of cancer cells, the latter being assumed to biase their motion according to a gradient of extracellular protons (following Bartel et al. (2012) pH-taxis: directional tumor cell migration along pH-gradients. Acta Physiol., 204, 113; Paradise et al. (2013) Directional cell migration in an extracellular pH gradient: a model study with an engineered cell line and primary microvascular endothelial cells. Exp. Cell Res., 319, 487-497; we call this pH taxis). A time dependent (and also time delayed) carrying capacity for the tumour cells in response to the effects of acidity is considered as well. The global well posedness of the resulting multiscale model is proved with a regularization and fixed point argument. Numerical simulations are performed to illustrate the behaviour of the model. © 2014 The Authors 2014.
Kayıt Giriş Tarihi
[dc.date.accessioned]
2019-12-23
Açık Erişim Tarihi
[dc.date.available]
2019-12-23
Yayın Dili
[dc.language.iso]
eng
Konu Başlıkları
[dc.subject]
multiscale models
Konu Başlıkları
[dc.subject]
pH-taxis
Konu Başlıkları
[dc.subject]
reaction-diffusion-taxis equations
Konu Başlıkları
[dc.subject]
time-delayed carrying capacities
Konu Başlıkları
[dc.subject]
tumour cell migration
Haklar
[dc.rights]
info:eu-repo/semantics/closedAccess
ISSN
[dc.identifier.issn]
0272-4960
İlk Sayfa Sayısı
[dc.identifier.startpage]
1300
Son Sayfa Sayısı
[dc.identifier.endpage]
1321
Dergi Adı
[dc.relation.journal]
IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)
Dergi Sayısı
[dc.identifier.issue]
5
Dergi Cilt Bilgisi
[dc.identifier.volume]
80
Tek Biçim Adres
[dc.identifier.uri]
https://dx.doi.org/10.1093/imamat/hxu055
Tek Biçim Adres
[dc.identifier.uri]
https://hdl.handle.net/20.500.12628/3963
Görüntülenme Sayısı ( Şehir )
Görüntülenme Sayısı ( Ülke )
Görüntülenme Sayısı ( Zaman Dağılımı )
Görüntülenme
5
09.12.2022 tarihinden bu yana
İndirme
1
09.12.2022 tarihinden bu yana
Son Erişim Tarihi
06 Şubat 2024 16:51
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Tıklayınız
extracellular protons tumour behaviour gradient migration posedness performed taxis) illustrate 487-497 simulations endothelial Authors dependent global resulting multiscale proved primary considered regularization acidity effects response argument capacity carrying delayed) Numerical microvascular pH-gradients exchange evolution populations
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