A5009446528- Advanced Numerical Methods in Computational Mathematics
- Matrix Theory and Algorithms
- Advanced Mathematical Modeling in Engineering
- Glaucoma and retinal disorders
- Numerical methods for differential equations
- Differential Equations and Numerical Methods
- Computational Fluid Dynamics and Aerodynamics
- Elasticity and Material Modeling
- Electromagnetic Simulation and Numerical Methods
- Advancements in Semiconductor Devices and Circuit Design
- Retinal Imaging and Analysis
- Advanced Optimization Algorithms Research
- Nanopore and Nanochannel Transport Studies
- Photoreceptor and optogenetics research
- Numerical methods in engineering
- Differential Equations and Boundary Problems
- 3D Printing in Biomedical Research
- Optical Imaging and Spectroscopy Techniques
- Iterative Methods for Nonlinear Equations
- Numerical methods in inverse problems
- Physics and Engineering Research Articles
- Neuroscience and Neural Engineering
- Retinal Development and Disorders
- Retinal Diseases and Treatments
- Microfluidic and Capillary Electrophoresis Applications
Politecnico di Milano
2015-2025
Icahn School of Medicine at Mount Sinai
2025
University of Missouri
2017-2021
North Central State College
2017-2018
North Carolina State University
2017
Indiana University School of Medicine
2015
Indiana University
2015
University School
2015
Numerica Corporation (United States)
2007
Springer Nature (Germany)
2007
In this article, we propose a novel discontinuous Galerkin method for convection-diffusion-reaction problems, characterized by three main properties. The first is that the hybridizable; renders it efficiently implementable and competitive with existing methods these problems. second that, when uses polynomial approximations of same degree both total flux scalar variable, optimal convergence properties are obtained variables; in sharp contrast all other problem. third exhibits...
Abstract Retinal dystrophies such as Retinitis pigmentosa are among the most prevalent causes of inherited legal blindness, for which treatments in demand. prostheses have been developed to stimulate inner retinal network that, initially spared by degeneration, deteriorates late stages disease. We recently reported that conjugated polymer nanoparticles persistently rescue visual activities after a single subretinal injection Royal College Surgeons rat model . Here we demonstrate can...
Objective: To develop quantitative methods for the clinical interpretation of ballistocardiogram (BCG). Methods: A closed-loop mathematical model cardiovascular system is proposed to theoretically simulate mechanisms generating BCG signal, which then compared with signal acquired via accelerometry on a suspended bed. Results: Simulated arterial pressure waveforms and ventricular functions are in good qualitative agreement those reported literature. signals exhibit typical I, J, K, L, M, N...
In this article we address the numerical study of 3D semiconductor devices for applications in electronics industry including charge generation phenomena due to impact ionization. With aim, propose two novel finite element (FE) models (methods A and B), electron hole Drift-Diffusion (DD) current densities. Method is based on a primal-mixed formulation DD model as function quasi-Fermi potential gradient, while method B modification standard formula introduction an artificial diffusion matrix....
The ability of a cell to keep its volume constant irrespective intra- and extracellular conditions is essential for cellular homeostasis survival. purpose this study elaborate theoretical model apply it simulation human aqueous humor (AH) production. assumes with spherical shape only radial deformation satisfying the property that in rest equals couplets constituting ciliary epithelium eye. cytoplasm described as homogeneous mixture containing fluid, ions, neutral solutes whose evolution...
During normal operation of Phase Change Memory (PCM) cells active materials undergo very high electrical and thermal stresses that cause a motion the different atoms leading to composition variation which has fundamental impact on performance reliability. In order address this issue we introduce here comprehensive 3D physical model for mass transport in chalcogenide materials. addition driving force atom diffusion coming from concentration gradient electric field, also accounts effect...
In this article we propose a novel mathematical description of biomass growth that combines poroelastic theory mixtures and cellular population models. The formulation, potentially applicable to general mechanobiological processes, is here used study the engineered cultivation in bioreactors articular chondrocytes, process Regenerative Medicine characterized by complex interaction among spatial scales (from nanometers centimeters), temporal seconds weeks) biophysical phenomena...
The main goal of this work is to clarify and quantify, by means mathematical analysis, the role structural viscoelasticity in biomechanical response deformable porous media with incompressible constituents sudden changes external applied loads. Models are often utilized describe behavior biological tissues, such as cartilages, bones engineered tissue scaffolds, where viscoelastic properties may change age, disease or design. Here, for first time, we show that fluid velocity within medium...
Purpose: The aim of the proposed analysis is to provide both a qualitative description and quantitative assessment how variations in aqueous humor (AH) flow parameters influence intraocular pressure (IOP) outcome IOP-lowering medications.Methods: We developed mathematical model that describes steady-state value IOP as result balance between AH production drainage. performed stochastic simulations assess different factors on distribution ocular normotensive hypertensive subjects reduction...