RECENT PAPERS






Bellouquid Abdelghani; De Angelis Elena; Fermo Luisa
Towards the Modeling of Vehicular Traffic as a Complex System: a Kinetic Theoy Approach
submitted

Arlotti Luisa; De Angelis Elena; Fermo Luisa; Lachowicz Miroslaw; Bellomo Nicola
On a  Class  of Integro-Differential Equations Modeling Complex Systems with Nonlinear Interactions
submitted

Arlotti Luisa; De Angelis Elena
On the Initial Value Problem of a Class of Models of the Kinetic Theory for Active Particles,
Appl. Math. Lett., 24 (2011), 257--263.

Bellouquid Abdelghani; De Angelis Elena
From Kinetic Models of Multicellular Growing Systems to Macroscopic Biological Tissue Models,
Nonlinear Analysis: Real World Applications, 12 (2011), 1111--1122.

Bellomo Nicola; De Angelis Elena; Delitala Marcello
Lecture Notes on Mathematical Modelling From Applied Sciences to Complex Systems,
SIMAI e-Lecture Notes, Vol. 8, 2010.

Bellomo Nicola, Bellouquid Abdelghani, De Angelis Elena
On the derivation of biological tissue models from kinetic models of multicellular growing systems,
in B. Albers, Ed., Continuous Media with Microstructure,
p. 131-145, Springer Berlin Heidelberg, 2010.

Brazzoli Ilaria; De Angelis Elena; Jabin Pierre-Emmanuel
A mathematical model of immune competition related to cancer dynamics
Math. Methods Appl. Sci., 33 (2010), 733--750.

De Angelis Elena; Revelli Roberto; Ridolfi Luca
Transport-diffusion models with nonlinear boundary conditions and solution by generalized collocation methods
Comput. Math. Appl., 58 (2009), no. 3, 558--565.

Bellomo Nicola; Chaplain Mark; De Angelis Elena; Ed.s
Selected topics in cancer modeling. Genesis, evolution, immune competition, and therapy
Modeling and Simulation in Science, Engineering and Technology
Birkhäuser Boston, Inc., Boston, MA, 2008
xvi+473 pp. ISBN: 978-0-8176-4712-4

De Angelis Elena
Preface [Towards a mathematical description of cancer: Analytical, numerical and modelling aspects]
Math. Comput. Modelling 47 (2008), no. 5-6, 531--532. 92-06.

De Angelis Elena; Lods Bertrand
On the kinetic theory for active particles: a model for tumor-immune system competition
Math. Comput. Modelling 47 (2008), no. 1-2, 196--209.

Bellomo Nicola; De Angelis Elena; Delitala Marcello
Lecture Notes on Mathematical Modelling in Applied Sciences
SIMAI E-Lecture Notes 1 (2008), pp. 1-168, 2008.

De Angelis, Elena; Delitala Marcello
Modelling complex systems in applied sciences; methods and tools of the mathematical kinetic theory for active particles
Math. Comput. Modelling 43 (2006), no. 11-12, 1310--1328.

De Angelis Elena; Jabin Pierre-Emmanuel
Mathematical models of therapeutical actions related to tumour and immune system competition
Math. Methods Appl. Sci. 28 (2005), no. 17, 2061--2083.

Bellomo Nicola; De Angelis Elena
Preface [Special issue on modelling complex systems in molecular biology and tumor dynamics and control]
Math. Comput. Modelling 41 (2005), no. 10, xiii--xv.

Arlotti Luisa; Bellomo Nicola; De Angelis Elena; Lachowicz Miroslaw
Generalized kinetic models in applied sciences
Lecture notes on mathematical problem. Series on Advances in Mathematics for Applied Sciences, 64
World Scientific Publishing Co., Inc., River Edge, NJ, 2003.
 xii+199 pp. ISBN: 981-238-560-6

De Angelis Elena; Jabin Pierre-Emmanuel
Qualitative analysis of a mean field model of tumor-immune system competition
Math. Models Methods Appl. Sci. 13 (2003), no. 2, 187--206.

Bellomo Nicola; Bellouquid Abdelghani; De Angelis Elena
The modelling of the immune competition by generalized kinetic (Boltzmann) models; review and research perspectives
Math. Comput. Modelling 37 (2003), no. 1-2, 65--86.

De Angeli, Elena; Grunfeld Cecil. P.
Modeling and analytic problems for a generalized Boltzmann equation for a multicomponent reacting gas
Nonlinear Anal. Real World Appl. 4 (2003), no. 1, 189--202.

Bellomo Nicola, De Angelis E., Preziosi Luigi (2003).
Multiscale Modeling and Mathematical Problems Related to Tumour Evolution and Medical Therapy
Computational and Mathematical Methods in Medicine
(formerly Journal of Theoretical Medicine) 5 (2003), no. 2, 111-136.

Bellomo Nicola; De Angelis Elena,
Preface[Special issue on Modeling and Simulation of Tumor Development, Treatment, and Control]
Math. Comput. Modelling 37 (2003), no. 11,  xiii-xv

De Angelis Elena; Delitala Marcello; Marasco Addolorata; Romano Antonio
Bifurcation Analysis for a Mean Field Modeling of Tumor and Immune System Competition
Math. Comput. Modelling 37 (2003), no. 11, 1131 1142.

Arlotti Luisa; Bellomo Nicola; De Angelis Elena.
Generalized kinetic (Boltzmann) models: mathematical structures and applications
Math. Models Methods Appl. Sci. 12 (2002), no. 4, 567--591.

De Angelis Elena; Mesin Luca
Modelling of the immune response: conceptual frameworks and applications.
Math. Models Methods Appl. Sci. 11 (2001), no. 9, 1609--1630.

De Angelis Elena; Grünfeld Cecil. P.
The Cauchy problem for the generalized Boltzmann equation with dissipative collisions
Appl. Math. Lett. 14 (2001), no. 8, 941--947.

Bellomo Nicola; De Angelis Elena; Graziano Luigi; Romano Antonio
Solution of nonlinear problems in applied sciences by generalized collocation methods and Mathematica
Comput. Math. Appl. 41 (2001), no. 10-11, 1343--1363.

De Angelis Elena; Preziosi Luigi
Advection-diffusion models for solid tumour evolution in vivo and related free boundary problem
Math. Models Methods Appl. Sci. 10 (2000), no. 3, 379--407.