dorsal/arxiv
View SchemaGeometrical approach to tumor growth
| Authors | Carlos Escudero |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0608031 |
| URL | https://arxiv.org/abs/q-bio/0608031 |
| DOI | 10.1103/PhysRevE.74.021901 |
| Journal | Phys. Rev. E 74, 021901 (2006) |
Abstract
Tumor growth has a number of features in common with a physical process known as molecular beam epitaxy. Both growth processes are characterized by the constraint of growth development to the body border, and surface diffusion of cells/particles at the growing edge. However, tumor growth implies an approximate spherical symmetry that makes necessary a geometrical treatment of the growth equations. The basic model was introduced in a former article [C. Escudero, Phys. Rev. E 73, 020902(R) (2006)], and in the present work we extend our analysis and try to shed light on the possible geometrical principles that drive tumor growth. We present two-dimensional models that reproduce the experimental observations, and analyse the unexplored three-dimensional case, for which new conclusions on tumor growth are derived.
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"abstract": "Tumor growth has a number of features in common with a physical process known\nas molecular beam epitaxy. Both growth processes are characterized by the\nconstraint of growth development to the body border, and surface diffusion of\ncells/particles at the growing edge. However, tumor growth implies an\napproximate spherical symmetry that makes necessary a geometrical treatment of\nthe growth equations. The basic model was introduced in a former article [C.\nEscudero, Phys. Rev. E 73, 020902(R) (2006)], and in the present work we extend\nour analysis and try to shed light on the possible geometrical principles that\ndrive tumor growth. We present two-dimensional models that reproduce the\nexperimental observations, and analyse the unexplored three-dimensional case,\nfor which new conclusions on tumor growth are derived.",
"arxiv_id": "q-bio/0608031",
"authors": [
"Carlos Escudero"
],
"categories": [
"q-bio.QM",
"cond-mat.stat-mech",
"nlin.AO",
"q-bio.TO"
],
"doi": "10.1103/PhysRevE.74.021901",
"journal_ref": "Phys. Rev. E 74, 021901 (2006)",
"title": "Geometrical approach to tumor growth",
"url": "https://arxiv.org/abs/q-bio/0608031"
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