(I) To develop and test nonlinear mathematical models of cell evolution / locomotion based on active mechanosensing, and to explain cell migration phenomena accordingly through simulation.(ii) To investigate the nonlinearities in the mechanical behaviour of the fibrous extracellular matrix, to understand the instabilities that govern its behaviour, and to clarify how they result in a phase transition that is exploited by cells for mechanosensing and ECM remodelling. The tool here is modelling: we develop and test models of the ECM as a discrete fiber network and as a highly nonlinear continuum and investigate the similarities and differences of the two models using numerical analysis techniques to develop appropriate numerical methods.
Z. Zhang, P. Rosakis, T.Y Hou, G. Ravichandran, A Minimal Mechanosensing Model Predicts Keratocyte Evolution on Flexible Substrates, (2018); arXiv:1803.09220
G. Grekas, M. Proestaki, P. Rosakis, J. Notbohm, C. Makridakis, G. Ravichandran, Cells exploit a phase transition to establish interconnections in fibrous extracellular matrices, (2019) arXiv:1905.11246
G. Grekas, K. Koumatos, C. Makridakis, P. Rosakis, Approximations of cell-induced phase transitions in fibrous biomaterials: Gamma-convergence analysis, (2019) arXiv:1905.11246
Papaharilaou, J. Ekaterinaris, E. Manousaki and A. Katsamouris. A decoupled fluid structure approach of estimating wall stress in abdominal aortic aneurysms. Journal of Biomechanics, 2007, 40, 367-377
E. Georgakarakos, C.V. Ioannou, Y. Kamarianakis, Y. Papaharilaou, T. Kostas, E. Manousaki, A.N. Katsamouris. The role of geometric parameters in the prediction of abdominal aortic aneurysm wall stress. European Journal of Vascular and Endovascular Surgery, 2010, 39 (1), pp. 42-48
Vavourakis, Y. Papaharilaou and J. Ekaterinaris. Coupled fluid-structure interaction hemodynamics in a stress-free state corrected arterial geometry. J. Biomechanics , 2011; 44:2453-2460
Zohios, G. Kossioris, Y. Papaharilaou. Geometrical methods for level set based abdominal aortic aneurysm lumen, thrombus and outer wall 2D image segmentation. Computer Methods and Programs in Biomedicine, 2012; 107(2):202--17
Metaxa, E., Iordanov, I., Maravelakis, E., Papaharilaou, Y. A novel approach for local abdominal aortic aneurysm growth quantification (2016) Medical and Biological Engineering and Computing, pp. 1-10.
Tzirakis, K., Botti, L., Vavourakis, V., Papaharilaou, Y. Numerical modeling of non-Newtonian biomagnetic fluid flow (2016) Computers and Fluids, 126, pp. 170-180.
Tzirakis, K., Papaharilaou, Y., Giordano, D., Ekaterinaris, J., Numerical investigation of biomagnetic fluids in circular ducts, (2014) International Journal for Numerical Methods in Biomedical Engineering, 30 (3), pp. 297-317