<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></abstract>

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.

Extension of tumor fingers: A comparison between an individual-cell based model and a measure theoretic approach

Department of Mathematical Sciences “G. L. Lagrange”

Communications in Applied and Industrial Mathematics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

The invasive capability is fundamental in determining the malignancy of a solid tumor. In particular, tumor invasion fronts are characterized by different...

Extension of tumor fingers: A comparison between an individual-cell based model and a measure theoretic approach

Published Online: May 11, 2019

Page range: 54 - 69

Received: Oct 20, 2015

Accepted: May 23, 2016

DOI: https://doi.org/10.2478/caim-2019-0007

Keywords
tumor fingering, cellular Potts model, measure theoretic approach, hybrid model

© 2019 Marco Scianna et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Extension of tumor fingers: A comparison between an individual-cell based model and a measure theoretic approach

Published Online: May 11, 2019

Page range: 54 - 69

Received: Oct 20, 2015

Accepted: May 23, 2016

DOI: https://doi.org/10.2478/caim-2019-0007

Keywordstumor fingering, cellular Potts model, measure theoretic approach, hybrid model

© 2019 Marco Scianna et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
tumor fingering, cellular Potts model, measure theoretic approach, hybrid model