dorsal/arxiv
View SchemaTumor growth instability and the onset of invasion
| Authors | Mario Castro, Carmen Molina-Paris, Thomas s. Deisboeck |
|---|---|
| Categories | |
| ArXiv ID | physics/0503127 |
| URL | https://arxiv.org/abs/physics/0503127 |
| DOI | 10.1103/PhysRevE.72.041907 |
Abstract
Motivated by experimental observations, we develop a mathematical model of chemotactically directed tumor growth. We present an analytical study of the model as well as a numerical one. The mathematical analysis shows that: (i) tumor cell proliferation by itself cannot generate the invasive branching behaviour observed experimentally, (ii) heterotype chemotaxis provides an instability mechanism that leads to the onset of tumor invasion and (iii) homotype chemotaxis does not provide such an instability mechanism but enhances the mean speed of the tumor surface. The numerical results not only support the assumptions needed to perform the mathematical analysis but they also provide evidence of (i), (ii) and (iii). Finally, both the analytical study and the numerical work agree with the experimental phenomena.
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"abstract": "Motivated by experimental observations, we develop a mathematical model of\nchemotactically directed tumor growth. We present an analytical study of the\nmodel as well as a numerical one. The mathematical analysis shows that: (i)\ntumor cell proliferation by itself cannot generate the invasive branching\nbehaviour observed experimentally, (ii) heterotype chemotaxis provides an\ninstability mechanism that leads to the onset of tumor invasion and (iii)\nhomotype chemotaxis does not provide such an instability mechanism but enhances\nthe mean speed of the tumor surface. The numerical results not only support the\nassumptions needed to perform the mathematical analysis but they also provide\nevidence of (i), (ii) and (iii). Finally, both the analytical study and the\nnumerical work agree with the experimental phenomena.",
"arxiv_id": "physics/0503127",
"authors": [
"Mario Castro",
"Carmen Molina-Paris",
"Thomas s. Deisboeck"
],
"categories": [
"physics.bio-ph"
],
"doi": "10.1103/PhysRevE.72.041907",
"title": "Tumor growth instability and the onset of invasion",
"url": "https://arxiv.org/abs/physics/0503127"
},
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