Yuliya Gaidamaka, Alexander Pechinkin, Rostislav Razumchik, Konstantin Samouylov and Eduard Sopin
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Alexander Zeifman, Rostislav Razumchik, Yacov Satin, Ksenia Kiseleva, Anna Korotysheva and Victor Korolev
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Vladimir Podolskiy, Anshul Jindal and Michael Gerndt
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Laccetti, G. and Schmidb, G. (2007). A
The invasive capability is fundamental in determining the malignancy of a solid tumor. In particular, tumor invasion fronts are characterized by different morphologies, which result both from cell-based processes (such as cell elasticity, adhesive properties and motility) and from subcellular molecular dynamics (such as growth factor internalization, ECM protein digestion and MMP secretion). Of particular relevance is the development of tumors with unstable fingered morphologies: they are in fact more aggressive and hard to be treated than smoother ones as, even if their invasive depth is limited, they are difficult to be surgically removed. The phenomenon of malignant fingering has been reproduced with several mathematical approaches. In this respect, we here present a qualitative comparison between the results obtained by an individual cell-based model (an extended version of the cellular Potts model) and by a measure-based theoretic method. In particular, we show that in both cases a fundamental role in finger extension is played by intercellular adhesive forces and taxis-like migration.