SELECTED RESEARCH  PAPERS
(preprints can be downloaded or asked by email to:  giuseppe.pontrelli  at gmail.com)



- E. Cristiani, M. Grassi, F.L. Ignoto, G. Pontrelli, Dissolution of variable-in-shape drug particles via the level-set method, Appl. Math. Mod.,  vol. 142, 2025 (preprint).

- A. Jain, G. Pontrelli, S. McGinty, Laplace transform based modeling of drug delivery with reversible drug binding in a multilayer tissue, Pharm. Res., 2024 (preprint).

 - L. Desmond,  S. Margini, E. Barchiesi, G. Pontrelli, A.N. Phan, P. Gentile, Layer-by-layer assembly of nanotheranostic particles for simultaneous delivery of docetaxel and doxorubicin to target osteosarcoma, APL Bioeng., vol. 8, 016113, 2024 (preprint).

- E.J. Carr, G. Pontrelli, Modelling functionalized drug release for a spherical capsule, Int. J. Heat Mass Transf., vol. 222, 125065, 2024 (preprint).

- G. Bretti, S. McGinty, G. Pontrelli, Modeling smart drug release with functionally graded materials, Comp. Biol. & Med., vol. 164, 107294, 2023 (preprint).

- A. Jain, D. King, G. Pontrelli, S. McGinty, Controlling release from encapsulated drug-loaded devices: insights from modeling the dissolution front propagation, J. Contr. Release, vol 360, pp. 225–235, 2023 (preprint).

- S. Salvi, A. Jain, G. Pontrelli, S. McGinty, Modeling dual drug delivery from eluting stents: the influence of non-linear binding competition and non-uniform drug loading, Pharm. Res., 2022 (preprint).

- A. Jain, K. Subbarao,  S. McGinty, G. Pontrelli,  Optimization of initial drug distribution in spherical capsules for personalized release, Pharm. Res., vol. 39, pp. 2607-2620, 2022 (preprint).

- F. de Monte, G. D'Alessandro, S. Becker, G. Pontrelli,  Continuum models of drug transport to multiple cell-type population, Chapt. 5 in "Modeling of Mass Transport Processes in Biological Media" (Becker, Kuznetsov, de Monte, Pontrelli, Zhao, Eds), Elsevier, 2022 (preprint).
 
- M. Abrami, M. Grassi, D. Masiello, G. Pontrelli, Dissolution of irregularly-shaped drug particles: mathematical modelling, Eur. J. Pharm. Biopharm., vol. 77, pp. 199-210, 2022  (preprint).

 - N. Roselli, A Castagnino, G. Pontrelli, R. Natalini, A.I. Barakat,  Modeling ATP-mediated endothelial cell elongation on line patterns, Biomech. Model. in Mechanobiol., 2022 (preprint).

 - E. Barchiesi, T. Wareing, L. Desmond, A.N. Phan, P. Gentile, G. Pontrelli,  Characterization of the shells in layer-by-layer nanofunctionalized particles: a computational study, Frontiers Bioeng. Biotechn., vol. 10, 888944, 2022 (preprint).

 - P. Rochowski, G. Pontrelli,  Mass diffusion in multi-layer systems: an electrical analogue modelling approach, Comp.  Biol. & Med., vol. 148, 105774, 2022 (preprint).

 - A. Jain, S. McGinty, G. Pontrelli, Drug diffusion and release from a bioerodible spherical capsule, Int. J. Pharmaceutics,  vol. 616, 121442, 2022  (preprint).

 - A. Jain, S. McGinty, G. Pontrelli, L. Zhou, Theoretical modelling of endovascular drug delivery into a multilayer arterial wall from a drug-coated balloon, Int. J. Heat  Mass Transf., vol. 187, 122572, 2022 (preprint).

- S. Becker, A.V. Kuznetsov, D. Zhao, F. de Monte, G.Pontrelli, Model of drug delivery to populations composed of two cell types, J. Theor. Biol. vol. 534, 110947, 2022 (preprint).

- A. Jain, S. McGinty, G. Pontrelli, L. Zhou, Theoretical model for diffusion-reaction based drug delivery from a multilayer spherical capsules, Int. J. Heat Mass Transf, vol. 183, 122072, 2022 (preprint).

- Y. Wang, K. Zhang, G. Pontrelli et al., Macrophage membrane functionalized biomimetic nanoparticles for targeted anti-atherosclerosis applications, Theranostics, vol. 11, 1, pp. 164-180, 2021 (preprint).

-  G. Pontrelli,  G. Toniolo, S. McGinty, D. Peri, S. Succi, C. Chatgilialoglu, Mathematical modelling of drug delivery from pH-responsive nanocontainers, Comp. Biol & Med., vol. 131, 104238, 2021  (preprint).

-  G. Pontrelli, E.J. Carr, A. Tiribocchi, S. Succi, Modeling drug delivery from multiple emulsions, Phys. Rev. E.,102, 023114, 2020 (preprint).

-  G. Pontrelli, O. Farago, A Langevin dynamics approach for multi-layer mass transfer problems, Comp. Biol & Med., vol. 124, 103932, 2020 (preprint).

- Y. Yin, J. Wang, M. Yang, R. Du,  G. Pontrelli,  S. McGinty  et al., Penetration of the blood–brain barrier and the anti-tumour effect of a novel PLGA-lysoGM1/DOX micelle drug delivery system, Nanoscale, 12,  2946, 2020 (preprint).

- C.M. McKittrick,  G. Pontrelli, S. McGinty et al., Combining mathematical modelling with in vitro experiments to predict in vivo drug-eluting stent performance, J. Contr.  Release, vol. 303, 151-161, 2019 (preprint).

- Y. Wang, K. Zhang, G. Pontrelli et al., Biomimetic nanotherapies: red blood cell based core-shell structured nanocomplexes for atherosclerosis management, Advanced Science, 1900172, 2019 (preprint).

- E.J. Carr, G. Pontrelli, Drug delivery from microcapsules: how can we estimate the release time?, Math. Biosci, vol. 315, 108216, 2019 (preprint).

- M. Meere, G. Pontrelli, S. McGinty, Modelling phase separation in amorphous solid dispersions, Acta Biomateralia, vol. 94, pp. 410-424, 2019 (preprint).

- E.J. Carr, G. Pontrelli, Modelling mass diffusion for a multi-layer sphere immersed in a semi-infinite medium: application to drug delivery, Math. Biosci., vol. 303, pp. 1-9, 2018 (preprint).

- E. Di Costanzo, A.I. Barakat, G. Pontrelli, Effect of flow on ATP/ADP concentration at the endothelial cell surface: interplay between shear stress and mass transport , Z Angew Math. Mech., vol. 98, pp. 1493-1502, 2018 (preprint).

- R. Du, Y. Wang, G. Pontrelli et al., Design and testing of hydrophobic core/hydrophilic shell nano/micro particles for drug-eluting stent coating, NPG Asia Materials, online pp. 1-17, 2018 (preprint).

- B. Kaoui, M. Lauricella, G. Pontrelli, Mechanistic modelling of drug release from multi-layer capsules, Comp. Biol. &  Med., vol. 93, pp. 149-157, 2018 (preprint).

 - M. Marino, G. Pontrelli, G. Vairo, P. Wriggers,  A  chemo-mechano-biological formulation for the effects of biomechemical  alterations on arterial mechanics: the role of molecular transport and multiscale tissue remodelling, J. Roy. Soc. Interf., 14, 20170615, 2017 (preprint).

- A. Montessori, I. Halliday, M. Lauricella, S.V. Lishchuk, G. Pontrelli, T.J. Spencer, S. Succi,  Multicomponent Lattice Boltzmann Models for Biological Applications, chapt. 20  in Numerical Methods and Advanced Simulation in Biomechanics and Biological Processes (Eds. M. Cerrolaza, S. J. Shefelbine and D. Garzon-Alvarado), pp. 357-370, Academic Press, 2017 (preprint).

- G. Pontrelli, L. Simon, The choice of a performance indicator of release in transdermal drug delivery systems, chapt. 4 in Biomedical Technology, Lect. Notes  Appl. Comput. Mech., vol 84 (Eds. P. Wriggers, T. Lenarz), Springer, pp. 49-64, online, 2017 (preprint).

- F. Cipolletta, M. Lauricella, G. Pontrelli, D. Pisignano, S. Succi, Effects of orthogonal rotating electric fields on electrospinning process, Phys. Fluids, 29, 082003, 2017 (preprint).

 - S. McGinty, D. King, G. Pontrelli,  Mathematical modelling of variable porosity coatings for controlled drug release, Med. Eng. Phys. vol. 45, 51-60, 2017 (preprint).

- M. Marino, G. Pontrelli, G. Vairo, P. Wriggers, Coupling microscale transport  and tissue mechanics: modelling strategies for arterial multiphysics, in Modelling of microscale transport in biological processes, chapt 4, Ed. S. Becker, Elsevier, pp. 77-112, 2017 (preprint).

- E. Di Costanzo, A Giacomello, E. Messina, R. Natalini, G. Pontrelli, F. Rossi, R. Smiths, M. Twarogowska,  A discrete in continuous mathematical model of cardiac progenitor cells formation and growth as spheroid clusters (cardiospheres), Math. Med. & Biol., online, pp. 1-24, 2017 (preprint).

- G. Pontrelli,  M. Lauricella, J. Ferreira, G. Pena, Iontophoretic transdermal drug delivery: a multi-layered approach, Math. Med. & Biol., vol. 34, pp. 559-576, 2017 (preprint).

- S. McGinty, G. Pontrelli,  On the role of specific drug binding in modelling arterial eluting stents, J. Math. Chem., vol. 54, 967-976, 2016 (preprint).

- I. Halliday, S.V. Lishchuk, T.J. Spencer, G. Pontrelli, P. Evans,  Local membrane length conservation in two-dimensional vesicle simulation using multi-component lattice-Boltzmann equation method, Phys. Rev. E, vol 94, 023306, 2016 (preprint).

- M. Lauricella, G. Pontrelli, D. Pisignano, S. Succi, Dynamic mesh refinement for discrete models of jet electro-hydrodynamics, J. Comput. Science, online 2016 (preprint).

- S. McGinty, G. Pontrelli, A general model of coupled drug release and tissue absorption for drug delivery devices, J. Contr. Release, vol. 217, 327-336, 2015 (preprint).

- M. Lauricella, G. Pontrelli, I. Coluzza, D. Pisignano, S. Succi, JETSPIN: a specific-purpose open-source software for simulations of nanofiber electrospinning, Comp. Physics Comm., Vol. 197, 227–238, 2015 (preprint).

 - G. Pontrelli, I. Halliday, T.J. Spencer, C.S. König,  M.W. Collins, Modelling the glycocalyx-endothelium-erythrocyte interaction in the microcirculation: a computational study, Comp. Meth. Biomech. Biomed. Eng.,  Vol. 18, No. 4, 351–361 2015 (preprint).

- F. de Monte, G. Pontrelli, S. M. Becker, Transdermal drug delivery and percutaneous absorption: mathematical modeling perspectives, in Heat transf & Fluid Flow  in biological processes, Ed. S.M. Becker, A.V. Kuznetsov, chap. 10, pp. 273-304, Elsevier, 2015 (preprint).

 - F. Bozsak, J.M. Chomaz, A.I. Barakat, G. Pontrelli, On the role of phase change in modelling drug-eluting stents, in Biomedical Technology, Lect. Notes  Appl. Comput. Mech., vol 74, (eds. T. Lenarz & P. Wriggers), pp. 69-80, Springer, 2014 (preprint).

 - G. Pontrelli, F. de Monte, A two-phase two-layer model for transdermal drug delivery and percutaneous absorption,  Math. Biosci,  vol. 257, 96-103, 2014 (preprint).

 - G. Pontrelli, I. Halliday,  S. Melchionna, T. Spencer, S. Succi, On the lattice Boltzmann method as a computational framework for multiscale hemodynamics, Math. Comp. Modelling Dynam. Syst., vol. 20, 5, pp. 470-490, 2014 (preprint).

- G. Pontrelli, D. Gentili, S. Succi, I. Coluzza, D. Pisignano, Effects of non-linear rheology on the electrospinning process: a model study, Mech. Res. Comm., vol. 61, pp. 41-46, 2014  (preprint). 

- F. de Monte, G. Pontrelli, S. Becker, Drug release in biological tissues,  in Transport in biological media, Ed. S.M. Becker, A. V. Kuznetsov, chap. 3, pp. 59-118, Academic Press,  2013 (preprint).

- X. Descovich, G. Pontrelli, S. Melchionna, S. Succi, S. Wassertheurer, Modelling fluid flows in distensible tubes for applications in hemodynamics, Int. J. Modern Phys. C, vol. 24, 5, 1350030-1-20, 20013 (preprint).

- G. Pontrelli, A. Di Mascio, F. de Monte, Local mass non-equilibrium dynamics in multi-layered porous media: application to the drug-eluting stents, Int. J. Heat Mass Transf., Vol. 66, pp. 844-854, 2013 (preprint).

- S. Melchionna, G. Pontrelli, M. Bernaschi, M. Bisson, I. Halliday, T.J. Spencer, S. Succi, The lattice Boltzmann method as a general framework for blood flow modelling and simulations, in Micro and Nano Flow Systems for Bioanalysis, M.W. Collins and C. S. König (Eds.), chap. 10, pp. 153-170, Springer, 2013 (preprint).

- I. Halliday, S.V. Lishchuk, T. J Spencer, G. Pontrelli, C.M. Care,  Multiple-component lattice Boltzmann equation for fluid-filled vesicles in flow, Phys. Rev. E, vol. 87, 023307, 2013 (preprint).

- G. Pontrelli, C. S. König, I.Halliday, T.J. Spencer, M.W. Collins, Q. Long, S. Succi, Modelling wall shear stress in small arteries using Lattice Boltzmann method: influence of the endothelial wall profile,   Med. Eng. Phys, vol. 33, n. 7, pp. 832-839, 2011 (preprint).

-  I. Halliday, M. Atherton, M.W. Collins, G. Pontrelli et al., Multiscale interaction of particulate flow and the arterial wall, Med. Eng. Phys, vol. 33, n. 7, pp. 840-848, 2011 (preprint).

 - J. Janela, A. Sequeira, G. Pontrelli, S. Succi, S. Ubertini, Unstructured lattice-Boltzmann method for hemodynamic flows with shear-dependent viscosity, Int. J. Modern Physics C, vol. 21, 6, pp. 1-17, 2010 (preprint (pdf file, 694Kb)).

- G. Pontrelli, F. de Monte, A multi-layer porous wall model for coronary drug-eluting stents, Int J. Heat Mass Transfer, vol.53, pp. 3629-3637, 2010 (preprint (pdf file, 680Kb)).

 - G. Pontrelli, F. de Monte,  Modeling of mass dynamics in arterial drug-eluting stents, J. Porous Media, Vol. 12, 1, pp. 19-28, 2009 (preprint (pdf file, 490Kb)).

- L. Davia, M. Grassi, G. Pontrelli et al., Mathematical modelling of NABD release from endoluminal gel paved stent, Comp. Biol and Chem., 33, pp. 39-40, 2009 (preprint (pdf file, 1021Kb)).

- M. Grassi, G. Grassi, G. Pontrelli, L. Teresi,  Novel design of drug delivery in stented artery: a numerical comparative study, Math. Bio. & Eng., vol 6, n. 3, pp. 493-508, 2009 (preprint (pdf file, 357Kb)).

- G. Pontrelli, S. Ubertini, S. Succi,  The unstructured Lattice Boltzmann method for Non-Newtonian flows, J. Stat. Mech.: Theory  & Exp., P06005, 2009 (preprint (pdf file, 674Kb)).

- G. Pontrelli, F. de Monte, Mass diffusion through two-layer porous media: an application to the drug-eluting stent, Int. J. Heat Mass Transf., Vol. 50, pp. 3658-3669, 2007 (preprint (pdf file, 700 Kb)).

- G. Pontrelli, A. Tatone, Concentration wave of a solute in an artery: the influence of curvature, Comp. Meth. Biomech. & Biomed. Engineering, Vol. 10, 2, pp. 129-136, 2007 (preprint (pdf file, 449 Kb)).

- G. Pontrelli, F. de Monte, Modelling of mass convection-diffusion in stent-based drug delivery, XXV Congresso Nazionale UIT sulla Trasmissione del Calore, Trieste, 18-20 Giugno 2007 (preprint (pdf file, 149 Kb)).

- G. Grassi, M. Grassi, G. Pontrelli, L. Teresi,  Modelling drug release in cardiovascular eluting stents, in  Modelling cardiovascular system and mechanical circulatory support. (C. De Lazzari Ed.), CNR, pp. 135-151, 2007 (preprint (pdf file, 905 Kb)).

- G. Pontrelli, A. Tatone, Wave propagation in a fluid flowing through a curved thin-walled elastic tube, Euro. J. of Mech. - B /Fluids, Vol. 25, pp. 987-1007, 2006 (preprint (pdf file, 804 Kb)).

- G. Pontrelli, The role of the arterial prestress in blood flow dynamics, Med. Eng. & Phys., Vol. 28, pp. 6-12, 2006 (preprint (pdf file, 385 Kb)).

-  G. Pontrelli, F. de Monte, M. Prosi,  Drug delivery in biological tissues: an application to the eluting stent,  Proc. 7th Int. Symp. on Computer Methods in Biomechanics and Biomedical Engineering (CMBBE2006), Antibes (FR), 22-25 March 2006 (preprint (pdf file, 86 Kb)).

- G. Pontrelli, A. Tatone, Propagation of a solute wave in a curved vessel, in Blood flow: modelling and diagnostics, Ed. T.A. Kowalewski, Abiomed Lect. Notes, Vol. 6, pp. 415-426, 2005 (preprint (pdf file, 179 Kb)).

- G. Pontrelli, A. Tatone, Blood flow through a curved artery,  in  Applied and Industrial Mathematics in Italy,  Series on Adv. Math. Appl. Sci, Vol. 69, (M. Primicerio,  R. Spigler, V. Valente Eds.), World Scientific, pp. 451-462, 2005 (preprint (pdf file, 388 Kb)).

-  G. Pontrelli, A. Tatone,  A mathematical model of solute dynamics in a curved artery,  in Modelling in Medicine and Biology VI, (Ursino, Brebbia, Pontrelli & Magosso Eds.), WIT Press, pp. 319-330, 2005.

-  P. Nardinocchi, G. Pontrelli, L. Teresi, A one-dimensional model for blood flow in prestressed vessels, Europ. J. Mech. A/Solids, pp. 23-33, 2005 (preprint (pdf file, 213 Kb)).


- D. Funaro, G. Pontrelli,  A general class of finite-difference methods for the linear transport equation, Comm. Math. Sci, vol. 3, 3, pp. 403-423, 2005 (preprint (pdf file, 309 Kb)).

-  U. Iemma, G. Pontrelli, An integral formulation for fluid-structure interaction in hemodynamics, chapt. 6 of the book:  Wall-fluid interactions in physiological flows, Eds. M.W. Collins, G. Pontrelli & M.A. Atherton, WIT Press, pp. 151-171, 2004 (Preprint (pdf file, 178 Kb)). 


-   G. Pontrelli,  G. Pedrizzetti, Numerical modelling of blood flow in a stented artery, chapt. 7 of the book:  Wall-fluid interactions in physiological flows, Eds. M.W. Collins, G. Pontrelli & M.A. Atherton, WIT Press, pp. 173-188, 2004 (Preprint (pdf file, 451 Kb)).

- G. Pontrelli, A multiscale approach for modelling wave propagation in an arterial segment, Comp. Meth. Biomech and Biomed. Engin. vol 7, n.2, pp. 79-89, 2004 (Preprint (pdf file, 203 Kb)).

-   A. Di Carlo, P. Nardinocchi, G. Pontrelli, L. Teresi,  A heterogeneous approach for modelling blood flow in an arterial segment, in Simulation in Biomedicine V, Eds. Arnez, Brebbia, Solina & Stankovski, WIT Press, pp. 69-78, 2003 (Preprint (pdf file, 221 Kb)).

-  G. Pontrelli, E. Rossoni, Numerical modelling of the pressure wave propagation in the arterial flow,  Int. J. Num. Meth. Fluids, Vol. 43, n.6/7, pp. 651-671, 2003 (Preprint (pdf file, 252 Kb)).

-  G. Pontrelli, A mathematical model of flow in a liquid-filled viscoelastic tube, Med. Biol. Eng. Comput., Vol. 40, pp. 550-556, 2002 (Preprint (pdf file, 397Kb)).

- M. Grigioni, C. Daniele, G. D'Avenio, G. Pontrelli, The role of wall shear stress in unsteady vascular dynamics,  Progress in Biomedical Research, Vol. 7, 3, pp. 204-212, 2002 (Preprint (pdf file, 1.2 Mb)).

-  G. Pontrelli, Nonlinear pulse propagation in blood flow problems, in Progress in Industrial Mathematics at ECMI 2000, (M. Anile, V. Capasso, A. Greco Eds.), Springer, pp. 630-635, 2002.

-  G. Pontrelli, Nonlinear problems in arterial flows, Nonlinear Analysis, Vol. 47, pp. 4905-4915, 2001 (Preprint (pdf file, 213Kb)).

-  G. Pontrelli, Modelling the fluid-wall interaction in a blood vessel, Progress in Biomedical Research, Vol. 6, 4, pp. 330-338, 2001 (Preprint (pdf file, 175Kb)).


-  G. Pontrelli, Blood flow through an axisymmetric stenosis, Proc. Instn. Mech. Engrs., Part H  J. Eng. in Medicine, Vol. 215, no. 1, pp.1-10, 2001 (Preprint (pdf file, 207Kb)).

-  G. Pontrelli, Blood flow through a circular pipe with an impulsive pressure gradient,  Math. Mod. & Meth.  Appl.Sci., Vol. 10, n. 2, pp. 187-202,  2000 (Preprint (pdf file, 455Kb)).

-  G. Pontrelli, Pulsatile blood flow in a pipe,  Computers & Fluids, Vol. 27, n. 3, pp. 367-380,  1998 (Preprint (pdf file, 618Kb)).