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Simulation of the contractile response of cells on an array of micro-posts. (English) Zbl 1185.74061
Summary: A bio-chemo-mechanical model has been used to predict the contractile responses of smooth cells on a bed of micro-posts. Predictions obtained for smooth muscle cells reveal that, by converging onto a single set of parameters, the model captures all of the following responses in a self-consistent manner: (i) the scaling of the force exerted by the cells with the number of posts; (ii) actin distributions within the cells, including the rings of actin around the micro-posts; (iii) the curvature of the cell boundaries between the posts; and (iv) the higher post forces towards the cell periphery. Similar correspondences between predictions and measurements have been demonstrated for fibroblasts and mesenchymal stem cells once the maximum stress exerted by the stress fibre bundles has been recalibrated. Consistent with measurements, the model predicts that the forces exerted by the cells will increase with both increasing post stiffness and cell area (or equivalently, post spacing). In conjunction with previous assessments, these findings suggest that this framework represents an important step towards a complete model for the coupled bio-chemo-mechanical responses of cells.

MSC:
74L15 Biomechanical solid mechanics
92C37 Cell biology
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References:
[1] Nature materials 3 pp 466– (2001)
[2] Bao, Nature materials 2 (11) pp 715– (2003)
[3] Biophysical Journal 95 (7) pp 3488– (2008)
[4] Burton, Nature; Physical Science (London) 385 (6615) pp 450– (1997)
[5] PNAS 103 pp 14 015– (2006)
[6] Deshpande, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 463 (2079) pp 787– (2007) · Zbl 1131.92025
[7] J MECH PHYS SOLIDS 56 pp 1484– (2008) · Zbl 1171.74381
[8] Discher, Science 310 (5751) pp 1139– (2005)
[9] Freyman, Experimental cell research 272 (2) pp 153– (2002)
[10] Harris, Nature; Physical Science (London) 290 (5803) pp 249– (1981)
[11] Herman, Current opinion in cell biology 5 (1) pp 48– (1993)
[12] Hill, Proceedings of the Royal Society B: Biological Sciences 126 (843) pp 136– (1938)
[13] Kashina, Trends in cell biology 16 (12) pp 610– (2006)
[14] Mohrdieck, Chemphyschem : a European journal of chemical physics and physical chemistry 6 (8) pp 1492– (2005)
[15] PNAS 102 pp 11 594– (2005)
[16] Pathak, Journal of The Royal Society Interface 5 (22) pp 507– (2008)
[17] Biophysical Journal 89 (6) pp L52– (2005)
[18] Satcher, Biophysical Journal 71 (1) pp 109– (1996)
[19] PNAS 104 pp 14 553– (2007)
[20] Storm, Nature; Physical Science (London) 435 (7039) pp 191– (2005)
[21] PNAS 100 (4) pp 1484– (2003)
[22] ADV MATER 19 pp 3119– (2007)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.