Federica Laurino
Polytechnic University of Milan
ParticleCurse of dimensionalitySpace (mathematics)VasodilationBiophysicsTopologyMicrocirculationMathematical analysisFinite element methodMultigrid methodMixed finite element methodNanomedicineNanoparticleRegularization (physics)SingularityDirichlet distributionFluorescence microscopeNeuroscienceManifoldErrors-in-variables modelsTrace operatorGalerkin methodMaterials scienceEx vivoFluorescence recovery after photobleachingSaddle pointIn silicoInflammationDextranOrgan dysfunctionExtravasationApplied mathematicsComputational meshMembrane permeabilityPolygon meshMathematicsFlow (mathematics)Computer scienceRadiation therapyHilbert spaceComputational Science and EngineeringDiffusionDiscretizationLagrange multiplierA priori and a posterioriInfinitesimalPartial differential equationReduction (complexity)
11Publications
2H-index
62Citations
Publications 6
Newest
Coupled partial differential equations (PDEs) defined on domains with different dimensionality are usually called mixed-dimensional PDEs. We address mixed-dimensional PDEs on three-dimensional (3D)...
2 CitationsSource
#2Federica Laurino (Polytechnic University of Milan)H-Index: 2
Last. Paolo Zunino (Polytechnic University of Milan)H-Index: 28
view all 5 authors...
Abstract Background Radiation-induced organ dysfunction are frequently described by Normal Tissue Complication Probability models. The approximations of this radiobiological approach do not allow to consider the important role played by the microvasculature not only in the dose–response of the blood vessels but also of the organs where it is located. To this purpose, we presented a computational model that describes the fluid dynamics of microcirculation when the parameters of the network and th...
1 CitationsSource
#1Daniele Cerroni (Polytechnic University of Milan)H-Index: 3
#2Federica Laurino (IIT: Istituto Italiano di Tecnologia)H-Index: 2
Last. Paolo Zunino (Polytechnic University of Milan)H-Index: 28
view all 3 authors...
We develop a mathematical model for the interaction of a three-dimensional reservoir with the flow through wells, namely narrow cylindrical channels cutting across the reservoir. Leak off or sink effects are taken into account. To enable the simulation of complex configurations featuring multiple wells, we apply a model reduction technique that represents the wells as one-dimensional channels. The challenge in this case is to account for the interaction of the reservoir with the embedded one-dim...
13 CitationsSource
#1Federica Laurino (IIT: Istituto Italiano di Tecnologia)H-Index: 2
#2Paolo Zunino (Polytechnic University of Milan)H-Index: 28
Multiscale methods based on coupled partial differential equations defined on bulk and embedded manifolds are still poorly explored from the theoretical standpoint, although they are successfully used in applications, such as microcirculation and flow in perforated subsurface reservoirs. This work aims at shedding light on some theoretical aspects of a multiscale method consisting of coupled partial differential equations defined on one-dimensional domains embedded into three-dimensional ones. M...
11 CitationsSource
#1Federica LaurinoH-Index: 2
Last. Paolo ZuninoH-Index: 28
view all 3 authors...
Source
#1Daniele Cerroni (Polytechnic University of Milan)H-Index: 3
#2Federica Laurino (Polytechnic University of Milan)H-Index: 2
Last. Paolo Zunino (Polytechnic University of Milan)H-Index: 28
view all 5 authors...
Thanks to dimensional (or topological) model reduction techniques, small inclusions in a three-dimensional (3D) continuum can be described as one-dimensional (1D) concentrated sources, in order to reduce the computational cost of simulations. However, concentrated sources lead to singular solutions that still require computationally expensive graded meshes to guarantee accurate approximation. The main computational barrier consists in the ill-posedness of restriction operators (such as the trace...
1 CitationsSource