Paolo Zunino
Polytechnic University of Milan
Porous mediumBiot numberPhysicsMathematical optimizationMicrocirculationMathematical analysisFinite element methodBiomedical engineeringPoromechanicsMaterials scienceApplied mathematicsDrug releaseMathematicsFlow (mathematics)Computer scienceComputer simulationMechanicsMedicineDiscretizationPartial differential equation
Publications 148
#1Rana Zakerzadeh (University of Pittsburgh)H-Index: 6
#2Martina Bukac (ND: University of Notre Dame)H-Index: 11
Last. Paolo Zunino (University of Pittsburgh)H-Index: 28
view all 3 authors...
The present study analyzes the distribution and dissipation of the energy delivered to arteries. A computational model of blood flow and arterial deformation is used to examine the behavior of different constitutive models of arterial wall. In particular, we consider poroelastic and viscoelastic descriptions of the artery. Energy estimates are derived for each constitutive model of the arterial wall from the weak formulation of the fluid/solid coupled problem and are applied to assess energy exc...
4 CitationsSource
#1Karoline DisserH-Index: 6
#2Giovanni P. Galdi (University of Pittsburgh)H-Index: 39
Last. Paolo Zunino (University of Pittsburgh)H-Index: 28
view all 4 authors...
We study inertial motions of the coupled system, \({\mathscr{S}}\), constituted by a rigid body containing a cavity entirely filled with a viscous liquid. We show that for arbitrary initial data having only finite kinetic energy, every corresponding weak solution (a la Leray–Hopf) converges, as time goes to infinity, to a uniform rotation, unless two central moments of inertia of \({\mathscr{S}}\) coincide and are strictly greater than the third one. This corroborates a famous “conjecture” of N....
26 CitationsSource
#1Paolo Zunino (University of Pittsburgh)H-Index: 28
#2Josip Tambača (University of Zagreb)H-Index: 13
Last. Francesco Migliavacca (Polytechnic University of Milan)H-Index: 60
view all 6 authors...
Stent modeling represents a challenging task from both the theoretical and numerical viewpoints, due to its multi-physics nature and to the complex geometrical configuration of these devices. In this light, dimensional model reduction enables a comprehensive geometrical and physical description of stenting at affordable computational costs. In this work, we aim at reviewing dimensional model reduction of stent mechanics and drug release. Firstly, we address model reduction techniques for the des...
7 CitationsSource
#1Rana ZakerzadehH-Index: 6
#2Paolo ZuninoH-Index: 28
Considering arterial wall as an elastic structure is a common assumption in Fluid-Structure Interaction simulations. However; it neglects realistic arterial wall model. In reality, arterial wall like other soft tissues is viscoelastic and it shows poroelastic behavior as well. The present study attempts to investigate the effect of both poroelasticity and tissue viscoelasticity on fluid-structure interaction in arteries and analyze the role of extracellular fluid flow in the apparent viscoelasti...
1 Citations
#1Domenico NotaroH-Index: 1
#2Laura CattaneoH-Index: 9
Last. Paolo ZuninoH-Index: 28
view all 5 authors...
12 CitationsSource
Nov 5, 2015 in EMBC (International Conference of the IEEE Engineering in Medicine and Biology Society)
#1A. Valentin (University of Pittsburgh)
#2Domenico Notaro (Polytechnic University of Milan)H-Index: 1
Last. Anne M. Robertson (University of Pittsburgh)H-Index: 22
view all 7 authors...
A central therapeutic goal in many applications of modern Biomedicine is the reconstruction of the diseased arterial sections via robust and viable tissue equivalents. In-host remodelling is an emerging technology that exploits the remodelling ability of the host to regenerate tissue. We develop a general theoretical framework of growth and remodeling of arterial tissue starting from a synthetic, degradable, acellularized graft and we demonstrate the potential of mechanistic models to guide the ...
#1Mahdi Nabil (University of Pittsburgh)H-Index: 6
#2Paolo Decuzzi (Houston Methodist Hospital)H-Index: 54
Last. Paolo Zunino (University of Pittsburgh)H-Index: 28
view all 3 authors...
We derive a sophisticated mathematical model for coupled heat and mass transport in the tumour microenvironment and we apply it to study nanoparticle delivery and hyperthermic treatment of cancer. The model has the unique ability of combining the following features: (i) realistic vasculature; (ii) coupled capillary and interstitial flow; (iii) coupled capillary and interstitial mass transfer applied to nanoparticles; and (iv) coupled capillary and interstitial heat transfer, which are the fundam...
38 CitationsSource
#1Martina Bukac (ND: University of Notre Dame)H-Index: 11
#2Ivan Yotov (University of Pittsburgh)H-Index: 33
Last. Paolo Zunino (University of Pittsburgh)H-Index: 28
view all 4 authors...
Abstract We develop a computational model to study the interaction of a fluid with a poroelastic material. The coupling of Stokes and Biot equations represents a prototype problem for these phenomena, which feature multiple facets. On one hand, it shares common traits with fluid–structure interaction. On the other hand it resembles the Stokes–Darcy coupling. For these reasons, the numerical simulation of the Stokes–Biot coupled system is a challenging task. The need of large memory storage and t...
47 CitationsSource
#1Martina Bukac (University of Pittsburgh)H-Index: 11
#2Ivan Yotov (University of Pittsburgh)H-Index: 33
Last. Paolo Zunino (University of Pittsburgh)H-Index: 28
view all 3 authors...
We develop a loosely coupled fluid-structure interaction finite element solver based on the Lie operator splitting scheme. The scheme is applied to the interaction between an incompressible, viscous, Newtonian fluid, and a multilayered structure, which consists of a thin elastic layer and a thick poroelastic material. The thin layer is modeled using the linearly elastic Koiter membrane model, while the thick poroelastic layer is modeled as a Biot system. We prove a conditional stability of the s...
40 CitationsSource