Preprints

Refereed Papers

1. V. Milisic and Ph. Souplet

Friction mediated by transient elastic linkages : a complete study of a penalized fourth order equation with delay
accepted for publication in Journal des Mathématiques Pures et Appliquées (2024) pdf
2. V. Milisic and C. Schmeiser

Asymptotic limits for a non-linear integro-differential equation modelling leukocytes' rolling on arterial walls
Nonlinearity 35 (2022) p. 843-869 pdf
3. S. Allouch and V. Milisic

Friction mediated by transient elastic linkages : extension to loads of bounded variation
accepted for publication in Journal of Integral Equations and Applications (2021), pdf
4. M. Marulli, V. Milisic and N. Vauchelet

Reduction of a model for sodium exchanges in kidney nephron
Networks & Heterogeneous Media (2021), doi: 10.3934/nhm.2021020 arxiv article
5. M. Marulli and V. Milisic and N. Vauchelet

On the role of the epithelium in a model of sodium exchange in renal tubules
Mathematical Biosciences 2020 link
6. V. Milisic

From delayed minimization to the harmonic map heat equation
Journal of Functional Analysis Volume 279, Issue 2, 2020, arxiv link
7. I. Balelli and V. Milisic and G. Wainrib

Multi-type Galton-Watson Processes with Affinity-Dependent Selection Applied to Antibody Affinity Maturation.
Bull. Math. Biol. 81 (2019), no. 3, 830--868. link
8. I. Balelli and V. Milisic and G. Wainrib

Random walks on binary strings applied to the somatic hypermutation of B-cells.
Math. Biosci. 300 (2018), 168--186. link
9. V. Milisic

Initial layer analysis for a linkage density in cell adhesion mechanisms
CIMPA School on Mathematical Models in Biology and Medicine, p. 108-122,
ESAIM Proc. Surveys, 62, EDP Sci., Les Ulis, 2018. pdf
10. V. Milisic and D. Oelz

Space dependent adhesion forces mediated by transient elastic linkages : new convergence and global existence results
J. Differential Equations 265 (2018), no. 12, p. 6049-6082.
pdf link to the article
11. V. Milisic and G. Wainrib

Mathematical modeling of lymphocytes selection in the germinal center
J. Math. Biol. 74 (2017), no. 4, 933--979. pdf
12. V. Milisic and D. Oelz

Tear-off versus global existence for a structured model of adhesion mediated by transient elastic linkages
Commun. Math. Sci. 14 (2016), no. 5, 1353--1372. pdf
13. V. Milisic and U. Razafison

Weighted \(L^p\)-theory for Poisson, biharmonic and Stokes problems on periodic unbounded strips of \({\mathbb R}^n\),
pdf accepted for publication in Annali dell'Universita' di Ferrara, (2015), p. 1-26,
(doi 10.1007/s11565-015-0230-y),
14. V. Milisic and D. Oelz

On a structured model for the load dependent reaction kinetics of transient elastic linkages
SIAM J. Math. Anal. 47 (2015), no. 3, 2104--2121. pdf
15. V. Milisic and D. Oelz

On the asymptotic regime of a model for friction mediated by transient elastic linkages.
Journal de Mathematiques Pures et Appliquées (9) 96 (2011), no. 5, p. 484--501. pdf
16. D. Bresch and V. Milisic,

High order multi-scale wall-laws, part I : the periodic case
Quat. Appl. Math. 68, No. 2, 229-253 (2010). pdf
17. V. Milisic,

Very weak estimates for a rough Poisson-Dirichlet problem with natural vertical boundary conditions
Methods and Applications of Analysis Vol 16 (June 2009), No 2, p. 157-186 pdf
18. E. Bonnetier and D. Bresch and V. Milisic,

A priori convergence estimates for a rough Poisson-Dirichlet problem with natural vertical boundary conditions
Rannacher, Rolf (ed.) et al., Advances in mathematical fluid mechanics. Dedicated to Giovanni Paolo Galdi on the occasion of his 60th birthday.
Selected papers of the international conference on mathematical fluid mechanics, Estoril, Portugal, May 21–25, 2007.
Berlin: Springer. 105-134 (2010). pdf
19. D. Bresch and V. Milisic,

Towards implicit multi-scale wall laws
C. R. Math. Acad. Sci. Paris 346 (2008), no. 15-16, pdf
20. D. Caillerie and V. Milisic and A. Mourad and A. Raoult

Modelling and simulation of fibrous biological tissues via discrete homogenization methods
PAMM Volume 7, Issue 1, Date: December 2007, Pages: 1121601-1121602 pdf journal
21. P.S. Jouk and A. Mourad and V. Milisic and G. Michalowicz and A. Raoult and D. Caillerie and Y. Usson

Analysis of the fibre architecture of the heart by quantitative polarized light microscopy: Accuracy, limitations and contribution to the study of the fibre architecture of the ventricles during fetal and neonatal life.
European Journal of Cardio-Thoracic Surgery, vol: 31(2007), pp: 916-922pdf
22. M. Fernandez, V. Milisic and A. Quarteroni

Analysis of a geometrical multiscale blood flow model based on the coupling of ODE's and hyperbolic PDE's
SIAM Multiscale Model. Simul. 4 (2005), no. 1, 215--236 (electronic) pdf

23. V. Milisic and A. Quarteroni

Analysis of lumped parameter models for blood flow simulations and their relation with 1D models
M2AN Math. Model. Numer. Anal. 38 (2004), no. 4, 613--632 pdf

24. F. Guarguaglini, V. Milisic and A. Terracina

A discrete kinetic approximation for a strongly degenerate parabolic problems with boundary conditions
J. Differential Equations 202 (2004), no. 2, 183--207. pdf
 
25. D. Aregba-Driollet and V. Milisic

Kinetic approximation of a boundary value problem for conservation laws
Numerische Mathematik 2004, vol. 97, no4, pp. 595-633 pdf
 
26. V. Milisic

Stability and convergence of discrete kinetic approximations to an initial-boundary value problem for conservation laws
Proc. Amer. Math. Soc. 131 (2003), no. 6, 1727--1737 pdf
 

Proceedings

• V. Milisic and A. Rambaud and K.P. Gostaf

Asymptotic analysis of blood flow in stented arteries:time dependency and direct simulations
CEMRACS 2009: Mathematical modelling in medicine, p. 70-89, ESAIM Proc., 30, EDP Sci., Les Ulis, 2010. pdf