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List of works by Roberto Natalini

A Continuum Mechanics Model of Enzyme-Based Tissue Degradation in Cancer Therapies

scientific article published on 05 October 2018

A Discrete Kinetic Approximation of Entropy Solutions to Multidimensional Scalar Conservation Laws

A Fluid-Dynamic Traffic Model on Road Networks

A Macroscopic Mathematical Model for Cell Migration Assays Using a Real-Time Cell Analysis ⬇️

scientific article

A Numerical Comparison Between Degenerate Parabolic and Quasilinear Hyperbolic Models of Cell Movements Under Chemotaxis

A Numerical Scheme for a Hyperbolic Relaxation Model on Networks

article

A discrete in continuous mathematical model of cardiac progenitor cells formation and growth as spheroid clusters (Cardiospheres).

scientific article published on 23 January 2017

A discrete kinetic approximation for the incompressible Navier-Stokes equations

A fluid dynamics model of the growth of phototrophic biofilms ⬇️

scientific article published on May 5, 2012

A fluid dynamics multidimensional model of biofilm growth: stability, influence of environment and sensitivity.

scientific article published on 17 July 2015

A hybrid mathematical model for self-organizing cell migration in the zebrafish lateral line.

scientific article published on 26 July 2014

A hyperbolic model of spatial evolutionary game theory

A mathematical model of sulphite chemical aggression of limestones with high permeability. Part I. Modeling and qualitative analysis

A mathematical model of sulphite chemical aggression of limestones with high permeability. Part II: Numerical approximation

A mathematical, experimental study on iron rings formation in porous stones

scientific article published in 2019

A model of ischemia-induced neuroblast activation in the adult subventricular zone

scientific article

A pressure model of immune response to mycobacterium tuberculosis infection in several space dimensions

scientific article

A rare mutation model in a spatial heterogeneous environment

article published in 2018

A spatial model of cellular molecular trafficking including active transport along microtubules.

scientific article published on 8 September 2010

A spatial physiological model for p53 intracellular dynamics.

scientific article published on 13 September 2012

Asymptotic High-Order Schemes for $2\times2$ Dissipative Hyperbolic Systems

Asymptotic behavior of smooth solutions for partially dissipative hyperbolic systems with a convex entropy

scholarly article by Stefano Bianchini et al published 2007 in Communications on Pure and Applied Mathematics

BV solutions and relaxation limit for a model in viscoelasticity

Blow–up of solutions for first order quasilinear hyperbolic equations

CONVERGENCE OF A RELAXATION APPROXIMATION TO A BOUNDARY VALUE PROBLEM FOR CONSERVATION LAWS

Conservation laws with vanishing nonlinear diffusion and dispersion11This work was partially carried out during a visit of the first author to the Istituto per le Applicazioni del Calcolo

Convergence of numerical schemes for viscosity solutions to integro-differential degenerate parabolic problems arising in financial theory

scholarly article by Maya Briani et al published 6 August 2004 in Numerische Mathematik

Convergence of the pseudo-viscosity approximation for conservation laws

Design and optimization of reaction chamber and detection system in dynamic labs-on-chip for proteins detection

scientific article published on 7 March 2013

Discrete Kinetic Schemes for Multidimensional Systems of Conservation Laws

Estimation Algorithm for a Hybrid PDE–ODE Model Inspired by Immunocompetent Cancer-on-Chip Experiment

scientific article published in 2021

Gene therapy: the role of cytoskeleton in gene transfer studies based on biology and mathematics.

scientific article published on January 2014

Global BV Solutions to a p-System with Relaxation

Global existence and asymptotic stability of smooth solutions to a fluid dynamics model of biofilms in one space dimension

article

Global existence for a 1D parabolic–elliptic model for chemical aggression in permeable materials

scholarly article by Giuseppe Alì et al published February 2015 in Nonlinear Analysis

Implicit–explicit numerical schemes for jump–diffusion processes

L1Nonlinear Stability of Traveling Waves for a Hyperbolic System with Relaxation

Mathematical model for transport of DNA plasmids from the external medium up to the nucleus by electroporation

scientific article published on 30 November 2016

Mathematics and Monument Conservation: Free Boundary Models of Marble Sulfation

Nonresonant bilinear forms for partially dissipative hyperbolic systems violating the Shizuta–Kawashima condition

scientific article published in 2022

Numerical approximation of nonhomogeneous boundary conditions on networks for a hyperbolic system of chemotaxis modeling the Physarum dynamics

article

Numerical optimization of plasmid DNA delivery combined with hyaluronidase injection for electroporation protocol

scientific article published on 15 November 2019

Numerical schemes for the Barenblatt model of non-equilibrium two-phase flow in porous media

On Relaxation Hyperbolic Systems Violating the Shizuta–Kawashima Condition

On a continuous mixed strategies model for evolutionary game theory

On the Barenblatt Model for Non-Equilibrium Two Phase Flow in Porous Media

article

On the Chapman--Jouguet Limit for a Combustion Model

Rare mutations in evolutionary dynamics

article

Second-order entropy satisfying BGK-FVS schemes for incompressible Navier-Stokes equations

Stability of constant states and qualitative behavior of solutions to a one dimensional hyperbolic model of chemotaxis

article

The dynamics of p53 in single cells: physiologically based ODE and reaction-diffusion PDE models

scientific article published on 30 July 2014

The energy transport and the drift diffusion equations as relaxation limits of the hydrodynamic model for semiconductors

The p53 protein and its molecular network: modelling a missing link between DNA damage and cell fate

scientific article published on 08 October 2013

Time asymptotic high order schemes for dissipative BGK hyperbolic systems

Weak solutions to a hydrodynamic model for semiconductors and relaxation to the drift-diffusion equation

article

Weak solutions to a hydrodynamic model for semiconductors: the Cauchy problem

Well-posedness of a model of nonhomogeneous compressible–incompressible fluids

article

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