- Cellular Mechanics and Interactions
- Elasticity and Material Modeling
- 3D Printing in Biomedical Research
- Mathematical Biology Tumor Growth
- Cardiovascular Function and Risk Factors
- Force Microscopy Techniques and Applications
- Rheology and Fluid Dynamics Studies
- Mechanical Circulatory Support Devices
- Microtubule and mitosis dynamics
- Computational Fluid Dynamics and Aerodynamics
- Advanced Numerical Methods in Computational Mathematics
- Advanced Mathematical Modeling in Engineering
- Ocean Waves and Remote Sensing
- Angiogenesis and VEGF in Cancer
- Cardiomyopathy and Myosin Studies
- Coastal and Marine Dynamics
- Biocrusts and Microbial Ecology
- Cardiac Structural Anomalies and Repair
- Microfluidic and Bio-sensing Technologies
- Lattice Boltzmann Simulation Studies
- Cardiac electrophysiology and arrhythmias
- Cancer Cells and Metastasis
- Fluid Dynamics and Turbulent Flows
- Cardiovascular Health and Disease Prevention
- Epoxy Resin Curing Processes
Polytechnic University of Turin
2008-2024
Politecnico di Milano
2010-2019
Instituto Politécnico Nacional
2012
Sorbonne Université
2011
Washington University in St. Louis
2010
Ospedale "Floraspe Renzetti"
2006
Institute of Biomedical Technologies
1991-2002
Center for Advanced Studies Research and Development in Sardinia
1995-1998
Ospedale Policlinico San Martino
1998
Istituto per le Tecnologie Didattiche
1992-1994
Mass balance equations typically adopted to describe tumor growth are be closed by introducing a suitable velocity field. The first part of this paper is devoted critical review some approaches devised aim in the relevant literature. In second we start from observation that phenomenological description spheroid suggests model it as growing and deformable porous material. concept volume fraction essentials mechanics multicomponent continua then introduced applied problem at hand. system...
Experiments of in vitro formation blood vessels show that cells randomly spread on a gel matrix autonomously organize to form connected vascular network. We propose simple model which reproduces many features the biological system. both and real system exhibit fractal behavior at small scales, due process migration dynamical aggregation, followed large scale by random percolation coalescence aggregates. The results are good agreement with analysis performed experimental data.
During cell migration, forces generated by the actin cytoskeleton are transmitted through adhesion complexes to substrate. To investigate mechanism of force generation and transmission, we analyzed relationship between network velocity traction at substrate in a model system persistently migrating fish epidermal keratocytes. Front lateral sides exhibited much stronger coupling motion than trailing body. Further analysis traction–velocity suggested that transmission mechanisms were different...
A new mathematical model is developed for the macroscopic behaviour of a porous, linear elastic solid, saturated with slowly flowing incompressible, viscous fluid, surface accretion solid phase. The derivation uses formal two-scale asymptotic expansion to exploit well-separated length scales material: pores are small compared macroscale, spatially periodic microstructure. Surface occurs at interface between and fluid phases, resulting in growth phase through mass exchange from prescribed...
The growth and remodeling of soft tissues depend on a number biological, chemical mechanical factors, including the state tension. In many cases stress field plays such relevant role that “stress-modulated growth” has become very topical subject. Recent theoretical achievements suggest that, irrespective specific biological material at hand, component stress—growth coupling is tissue-independent reads as an Eshelby-like tensor. this paper we investigate mathematical properties qualitative...
The coupling between cardiac mechanics and electric signaling is addressed in a nonstandard framework which the electrical potential dictates active strain (not stress) of muscle. physiological mathematical motivations leading us to this choice are illustrated. propagation signal assumed be governed by FitzHugh–Nagumo equations, rewritten material coordinates with deforming substrate; solution compared rigid case, differences celerity width pulse discussed. role viscoelasticity pointed out....
A system of differential equations for coupled fluid and drug transport in vascularized (malignant) tissues is derived by a multiscale expansion. We start from mass momentum balance equations, stated the physical domain, geometrically characterized intercapillary distance (the microscale). The Kedem–Katchalsky are used to account blood exchange across capillary walls. technique (homogenization) formulate continuum describing coupling on tumor length scale macroscale), under assumption local...
The migration of tumor cells different degrees invasivity is studied, on the basis traction forces exerted in time soft substrates (Young modulus ∼ 10 kPa). It found that outliers stresses can be an effective indicator to distinguish cancer cell lines invasiveness. Here, we test two epithelial bladder lines, one invasive (T24), and a less (RT112). Invasive move nearly periodic motion, with peaks velocity corresponding higher substrate, whereas develop almost constant time. dynamics focal...
Abstract In this work, we develop a computational tool to predict the patient‐specific evolution of highly malignant brain tumour, glioblastoma multiforme (GBM), and its response therapy. A diffuse‐interface mathematical model based on mixture theory is fed by clinical neuroimaging data that provide anatomical microstructural characteristics patient brain. The numerically solved using finite element method, basis suitable numerical techniques deal with resulting Cahn‐Hilliard type equation...