The role of stress in the growth of a multicell spheroid |
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Authors: | Email author" target="_blank">D?AmbrosiEmail author F?Mollica |
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Institution: | (1) Dipartimento di Matematica, Politecnico di Torino, corso Duca degli Abruzzi 24, 10129 Torino, Italy;(2) Dipartimentó di Ingegneria dei Materiali, via Saraget 1, 44100 Ferrara, Italy |
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Abstract: | Rather recent experimental results demonstrate the non–negligible role of mechanical stress in the growth of a multicell spheroid. In this paper we discuss a theoretical framework for volumetric growth suitable for modeling the growth of soft tissues exhibiting the properties of a solid. After a proper kinematic decomposition, balance equations for mass, momentum and energy are discussed together with constitutive relationships. The mathematical model is then applied to avascular tumor growth. We show by numerical simulation that, under assumption of spherical symmetry, the mathematical model is able to reproduce the experimental data with a satisfying qualitative agreement. |
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Keywords: | Tumor growth Stress modulated growth Continuum mechanics |
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