Monica De Angelis

ORCID: 0000-0002-8531-6498
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About
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Research Areas
  • Advanced Mathematical Modeling in Engineering
  • Differential Equations and Numerical Methods
  • Stability and Controllability of Differential Equations
  • Nonlinear Dynamics and Pattern Formation
  • stochastic dynamics and bifurcation
  • Differential Equations and Boundary Problems
  • Numerical methods in inverse problems
  • Physics of Superconductivity and Magnetism
  • Nonlinear Photonic Systems
  • Quantum chaos and dynamical systems
  • Numerical methods for differential equations
  • Thermoelastic and Magnetoelastic Phenomena
  • Fractional Differential Equations Solutions
  • Elasticity and Material Modeling
  • Laser-Plasma Interactions and Diagnostics
  • Rheology and Fluid Dynamics Studies
  • Advanced Thermodynamics and Statistical Mechanics
  • Management, Economics, and Public Policy
  • Spectral Theory in Mathematical Physics
  • Regional Development and Policy
  • Laser-induced spectroscopy and plasma
  • Nonlinear Waves and Solitons
  • Numerical methods in engineering
  • Neural dynamics and brain function
  • Mathematical and Theoretical Epidemiology and Ecology Models

University of Naples Federico II
2008-2024

Marche Polytechnic University
2014-2023

Ospedale di Civita Castellana
2021

Universidade Politecnica
2019

Universidade de Brasília
2019

Sapienza University of Rome
2006-2013

Azienda Ospedaliera San Giovanni Addolorata
2012

Ingegneria dei Trasporti (Italy)
2002

Objective: K-ras is the most frequently mutated gene in pancreatic cancer; reported rates range from 70% to 90%. The aim of this study was evaluate correspondence between mutations cancer tissue and circulating DNA value as serological marker. Methods: research conducted 30 patients with whom both plasma neoplastic tissues were available. Such extended isolated 40 chronic pancreatitis. Mutations codon 12 examined by mutant allele-specific amplification method direct sequencing. Serum values...

10.1097/01.mpa.0000202938.63084.e3 article EN Pancreas 2006-03-01

Abstract Background Adrenal surgery is undergoing continuous evolution, and robotic technology may extend indications for a minimally invasive approach to adrenalectomy. Methods Thirty robot‐assisted unilateral transperitoneal adrenalectomy procedures have been performed at our Department over the last 5 years. The presence of bilateral lesions vascular involvement were only contra‐indications approach. Several patients presented with significant co‐morbidities: BMI > 35 kg/m 2 (20%); ASA...

10.1002/rcs.1454 article EN International Journal of Medical Robotics and Computer Assisted Surgery 2012-10-19

10.1007/s11587-020-00483-y article EN Ricerche di Matematica 2020-02-07

10.1007/s11587-023-00828-3 article EN Ricerche di Matematica 2024-01-02

10.1007/s10440-012-9736-9 article EN Acta Applicandae Mathematicae 2012-05-22

The paper deals with a semilinear integrodifferential equation that characterizes several dissipative models of Viscoelasticity, Biology and Superconductivity. initial - boundary problem Neumann conditions is analyzed. When the source term F linear function, then explicit solution obtained. non linear, some results on existence, uniqueness priori estimates are deduced. As example physical model reaction diffusion system Fitzhugh Nagumo considered.

10.48550/arxiv.1203.0448 preprint EN other-oa arXiv (Cornell University) 2012-01-01

10.1007/s11012-013-9763-2 article EN Meccanica 2013-06-15

A superconductive model characterized by a third order parabolic operator $ {\mathcal L}_\varepsilon is analyzed. When the viscous terms, represented higher-order derivatives, tend to zero, hyperbolic L}_0 appears. Furthermore, if ${\mathcal P}_\varepsilon$ Dirichlet initial-boundary value problem for L}_\varepsilon$, when L} _\varepsilon turns into , P}_0$ with same conditions of P}_\varepsilon $. As long as derivatives solution are bounded, an estimate nonlinear related remainder term r,...

10.3934/cpaa.2014.13.217 article EN Communications on Pure &amp Applied Analysis 2013-10-15

The qualitative analysis of the initial value problem P related to a non linear third order parabolic equation typical diffusive models is discussed. Some basic properties fundamental solution operator are determined and applied an equivalent integro differential formulation problem. By fixed point theorem, existence uniqueness results obtained

10.48550/arxiv.1203.2381 preprint EN other-oa arXiv (Cornell University) 2012-01-01

A Neumann problem in the strip for Fitzhugh Nagumo system is considered. The transformation a non linear integral equation permits to deduce priori estimates solution. complete asymptotic analysis shows that large $ t effects of initial data vanish while boundary disturbances \varphi_1 (t), \varphi_2(t) depend on properties data. When \varphi_1,\,\, \varphi_2 are convergent $, solution everywhere bounded and depends values , $. More, when \varphi_i \in L^1 (0,\infty) (i=1,2)$ too, vanishing.

10.3934/dcdsb.2014.19.2039 article EN Discrete and Continuous Dynamical Systems - B 2014-01-01

Abstract The FitzHugh–Rinzel system is able to describe some biophysical phenomena, such as bursting oscillations, and the study of its solutions can help better understand several behaviours complex dynamics biological systems. We express by means an integral equation involving fundamental solution H ( x , t ) related a non linear integro-differential equation. Properties allow us obtain priori estimates for determined in whole space, showing both influence initial data source term.

10.1007/s11012-022-01489-6 article EN cc-by Meccanica 2022-03-01

10.1142/9789812772350_0029 article EN Waves and Stability in Continuous Media 2008-04-01

In this paper, the transport phenomena of synaptic electric impulses are considered. The FitzHugh--Nagumo and FitzHugh--Rinzel models appear mathematically appropriate for evaluating these scientific issues. Moreover, applications such arise in several biophysical different fields as, instance, biology, medicine electronics, where, by means nanoscale memristor networks, scientists seek to reproduce behavior biological synapses. present article deals with properties solutions system an...

10.3390/math10122041 article EN cc-by Mathematics 2022-06-12

We determine conditions allowing to simplify the description of impact a short and arbitrarily intense laser pulse onto cold plasma at rest. If both initial density profile have plane simmetry, then suitable matched upper bounds on maximum relative variations density, as well intensity duration pulse, ensure strictly hydrodynamic evolution electron fluid (without wave-breaking or vacuum-heating) during its whole interaction with while ions can be regarded immobile. use recently developed...

10.3390/math10152622 article EN cc-by Mathematics 2022-07-27
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