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On the Modeling of the Viscoelastic Response of Embryonic Tissues

Department of Mechanical Engineering, Texas A & M University, College Station, TX 77843, USA

S.C. Prasad

Department of Mechanical Engineering, Texas A & M University, College Station, TX 77843, USA

K.R. Rajagopal

Department of Mechanical Engineering, Texas A & M University, College Station, TX 77843, USA

L. Preziosi

Dipartimento di Matematica, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy

Forgacs et al. have developed a continuum model for cellular aggregates that has at its basis the work of Steinberg and co-workers concerning the coalescence of cells that takes into account surface tension effects, to describe the response of embryonic tissues. Here, we propose a solid model that reflects the fact that such embryonic tissues in the bulk (not at the cellular level) behave like solids rather than as fluids. The model stems from a robust thermodynamic framework and we show that our model fits the experimental data exceptionally well.

Key Words: Embryonic tissue • cell aggregate • viscoelastic solid

This version was published on February 1, 2008

Mathematics and Mechanics of Solids, Vol. 13, No. 1, 81-91 (2008)
DOI: 10.1177/1081286507074096


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