Aymen Laadhari, Pierre Saramito, and Chaouqi Misbah. Computing the dynamics of biomembranes by combining conservative level set and adaptive finite element methods. Journal of Computational Physics, 263:328–352, 2014. LSM_JCP14 The numerical simulation of the deformation of vesicle membranes under simple shear external fluid flow is considered in this paper. A saddle-point approach is proposed for…
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Ricardo Ruiz-Baier, Alessio Gizzi, Simone Rossi, Christian Cherubini, Aymen Laadhari, Simonetta Filippi, and Alfio Quarteroni. Mathematical modelling of active contraction in isolated cardiomyocytes. Mathematical Medicine and Biology, 31 (3): 259-283, 2014. RL_MMB_14 We investigate the interaction of intracellular calcium spatio-temporal variations with the self-sustained contractions in cardiac myocytes. A consistent mathematical model is presented…
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Aymen Laadhari, Ricardo Ruiz-Baier, and Alfio Quarteroni. Fully Eulerian finite element approximation of a fluid-structure interaction problem in cardiac cells. International Journal for Numerical Methods in Engineering, 96: 712-738, 2013. LRQ_IJNME_14 We propose in this paper an Eulerian finite element approximation of a coupled chemical fluid‐structure interaction problem arising in the study of mesoscopic cardiac…
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Aymen Laadhari, Pierre Saramito, and Chaouqi Misbah. Vesicle tumbling inhibited by inertia. Physics of Fluids, 24:031901, 2012. LSM_PhyF_12 Vesicles under flow constitute a model system for the study of red blood cells (RBCs) dynamics and blood rheology. In the blood circulatory system the Reynolds number (at the scale of the RBC) is not always small enough for…
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Aymen Laadhari, Pierre Saramito, and Chaouqi Misbah. Improving the mass conservation of the level set method in a finite element context. Comptes Rendus Mathematique, 348(9-10):535–540, 2010. LSM_CRASP In this work, a new algorithm is proposed for improving the mass conservation of the level set method in the finite element context. Two kinds of Lagrange multipliers are…
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Aymen Laadhari, Chaouqi Misbah, and Pierre Saramito. On the equilibrium equation for a generalized biological membrane energy by using a shape optimization approach. Physica D, 239(16):1567-1572, 2010. LSM_PhyD_10 A mechanical equilibrium equation of a vesicle membrane under a generalized elastic bending energy (a generalization of the energy of Canham-Helfrich-Evens) is obtained in this paper. Moreover,…
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