Dr Raimondo Penta

Senior Lecturer (Mathematics)

telephone: 0141 330 5440
email: Raimondo.Penta@glasgow.ac.uk

Research interests

My broad scientific interests span several disciplines, including multiscale approximations and expansions, poroelasticity and porous media flow, theoretical and applied fluid dynamics, mechanics of deformable solids. I develop my research across the interface between continuum mechanics and mathematical biology and I am particularly interested in the application of (continuum) mathematical models to biological scenarios, such as cancer biology, elastic composites and bone. My main area of expertise is asymptotic homogenization and its application to real-world (biological) problems of practical interest.

Research groups

Publications

List by: Type | Date

Jump to: 2024 | 2023 | 2022 | 2021 | 2020 | 2019 | 2018 | 2017 | 2016 | 2015 | 2014

Number of items: 56.

2024

Miller, L. and Penta, R. (2024) Effective double-poroelasticity derived via homogenisation of two non-interacting solid phases percolated by a viscous fluid. European Journal of Mechanics - A/Solids, 105, 105219. (doi: 10.1016/j.euromechsol.2023.105219)

Miller, L. and Penta, R. (2024) Homogenization of a coupled electrical and mechanical bidomain model for the myocardium. Mathematics and Mechanics of Solids, (doi: 10.1177/10812865231207600)

2023

Fülöp, Z. B., Ramírez-Torres, A. and Penta, R. (2023) Multiscale modelling of fluid transport in vascular tumours subjected to electrophoresis anticancer therapies. Zeitschrift für Angewandte Mathematik und Physik, 75, 9. (doi: 10.1007/s00033-023-02141-3)

Mascheroni, P., Penta, R. and Merodio, J. (2023) The impact of vascular volume fraction and compressibility of the interstitial matrix on vascularised poroelastic tissues. Biomechanics and Modeling in Mechanobiology, 22(6), pp. 1901-1917. (doi: 10.1007/s10237-023-01742-1) (PMID:37587330) (PMCID:PMC10613172)

Ramírez-Torres, A. , Penta, R. and Grillo, A. (2023) Effective properties of fractional viscoelastic composites via two-scale asymptotic homogenization. Mathematical Methods in the Applied Sciences, 46(16), pp. 16500-16520. (doi: 10.1002/mma.9457)

Girelli, A., Giantesio, G., Musesti, A. and Penta, R. (2023) Effective governing equations for dual porosity Darcy-Brinkman systems subjected to inhomogeneous body forces and their application to the lymph node. Proceedings of the Royal Society Series A: Mathematical, Physical and Engineering Sciences, 479(2276), 20230137. (doi: 10.1098/rspa.2023.0137)

Miller, L., Ramirez-Torres, A. , Rodríguez-Ramos, R. and Penta, R. (2023) Effective governing equations for viscoelastic composites. Materials, 16(14), 4944. (doi: 10.3390/ma16144944) (PMID:37512218) (PMCID:PMC10381759)

Miller, L. and Penta, R. (2023) Investigating the effects of microstructural changes induced by myocardial infarction on the elastic parameters of the heart. Biomechanics and Modeling in Mechanobiology, 22(3), pp. 1019-1033. (doi: 10.1007/s10237-023-01698-2) (PMID:36867283) (PMCID:PMC10167178)

Roque-Piedra, A., Rodríguez-Ramos, R., Penta, R. and Ramírez-Torres, A. (2023) Effective properties of homogenised nonlinear viscoelastic composites. Materials, 16(11), 3974. (doi: 10.3390/ma16113974) (PMID:37297108) (PMCID:PMC10254655)

Al Sariri, T., Simitev, R. D. and Penta, R. (2023) Optimal heat transport induced by magnetic nanoparticle delivery in vascularised tumours. Journal of Theoretical Biology, 561, 111372. (doi: 10.1016/j.jtbi.2022.111372)

Miller, L. and Penta, R. (2023) Micromechanical analysis of the effective stiffness of poroelastic composites. European Journal of Mechanics - A/Solids, 98, 104875. (doi: 10.1016/j.euromechsol.2022.104875)

Du, Y. , Stewart, P. , Hill, N. A. , Yin, H. , Penta, R. , Köry, J. , Luo, X. and Ogden, R. (2023) Nonlinear indentation of second-order hyperelastic materials. Journal of the Mechanics and Physics of Solids, 171, 105139. (doi: 10.1016/j.jmps.2022.105139)

Miller, L., Di Stefano, S., Grillo, A. and Penta, R. (2023) Homogenised governing equations for pre-stressed poroelastic composites. Continuum Mechanics and Thermodynamics, 35, pp. 2275-2300. (doi: 10.1007/s00161-023-01247-3)

2022

Al Sariri, T. and Penta, R. (2022) Multi-scale modelling of nanoparticle delivery and heat transport in vascularised tumours. Mathematical Medicine and Biology, 39(4), pp. 332-367. (doi: 10.1093/imammb/dqac009) (PMID:35862063)

Giusteri, G. G. and Penta, R. (2022) Periodic rhomboidal cells for symmetry-preserving homogenization and isotropic metamaterials. Mechanics Research Communications, 126, 104001. (doi: 10.1016/j.mechrescom.2022.104001)

Cruz-González, O.L., Ramírez-Torres, A. , Rodríguez-Ramos, R., Penta, R. and Lebon, F. (2022) Hierarchical heterogeneous one-dimensional problem in linear viscoelastic media. European Journal of Mechanics - A/Solids, 95, 104617. (doi: 10.1016/j.euromechsol.2022.104617)

Ramírez-Torres, A. , Penta, R. and Grillo, A. (2022) Two-scale, non-local diffusion in homogenised heterogeneous media. Archive of Applied Mechanics, 92(2), pp. 559-595. (doi: 10.1007/s00419-020-01880-3)

2021

Miller, L. and Penta, R. (2021) Double poroelasticity derived from the microstructure. Acta Mechanica, 232(10), pp. 3801-3823. (doi: 10.1007/s00707-021-03030-4)

Huang, R., Ogden, R. and Penta, R. (2021) Mathematical modelling of residual-stress based volumetric growth in soft matter. Journal of Elasticity, 145(1-2), pp. 223-241. (doi: 10.1007/s10659-021-09834-8)

Miller, L. and Penta, R. (2021) Homogenized balance equations for nonlinear poroelastic composites. Applied Sciences, 11(14), 6611. (doi: 10.3390/app11146611)

Cruz-González, O.L., Ramírez-Torres, A. , Rodríguez-Ramos, R., Otero, J.A., Penta, R. and Lebon, F. (2021) Effective behavior of long and short fiber-reinforced viscoelastic composites. Applications in Engineering Science, 6, 100037. (doi: 10.1016/j.apples.2021.100037)

Cruz-González, O. L., Ramírez-Torres, A. , Rodríguez-Ramos, R., Penta, R. , Bravo-Castillero, J., Guinovart-Díaz, R., Merodio, J., Sabina, F. J. and Lebon, F. (2021) A hierarchical asymptotic homogenization approach for viscoelastic composites. Mechanics of Advanced Materials and Structures, 28(21), pp. 2190-2201. (doi: 10.1080/15376494.2020.1722872)

Penta, R. , Ramirez Torres, A. , Merodio, J. and Rodríguez-Ramos, R. (2021) Effective governing equations for heterogenous porous media subject to inhomogeneous body forces. Mathematics in Engineering, 3(4), pp. 1-17. (doi: 10.3934/mine.2021033)

2020

Cruz-González, O.L., Rodríguez-Ramos, R., Otero, J.A., Ramirez Torres, A. , Penta, R. and Lebon, F. (2020) On the effective behavior of viscoelastic composites in three dimensions. International Journal of Engineering Science, 157, 103377. (doi: 10.1016/j.ijengsci.2020.103377)

Miller, L. and Penta, R. (2020) Effective balance equations for poroelastic composites. Continuum Mechanics and Thermodynamics, 32(6), pp. 1533-1557. (doi: 10.1007/s00161-020-00864-6)

Di Stefano, S., Miller, L., Grillo, A. and Penta, R. (2020) Effective balance equations for electrostrictive composites. Zeitschrift für Angewandte Mathematik und Physik, 71, 166. (doi: 10.1007/s00033-020-01365-x)

Dehghani, H., Noll, I., Penta, R. , Menzel, A. and Merodio, J. (2020) The role of microscale solid matrix compressibility on the mechanical behaviour of poroelastic materials. European Journal of Mechanics - A/Solids, 83, 103996. (doi: 10.1016/j.euromechsol.2020.103996)

2019

Marchena-Menéndez, J., Ramírez-Torres, A. , Penta, R. , Rodríguez-Ramos, R. and Merodio, J. (2019) Macroscopic thermal profile of heterogeneous cancerous breasts. A three-dimensional multiscale analysis. International Journal of Engineering Science, 144, 103135. (doi: 10.1016/j.ijengsci.2019.103135)

Ramírez-Torres, A. , Penta, R. , Rodríguez-Ramos, R. and Grillo, A. (2019) Effective properties of hierarchical fiber-reinforced composites via a three-scale asymptotic homogenization approach. Mathematics and Mechanics of Solids, 24(11), pp. 3554-3574. (doi: 10.1177/1081286519847687)

Cruz-González, O.L. et al. (2019) An approach for modeling non-ageing linear viscoelastic composites with general periodicity. Composite Structures, 223, 110927. (doi: 10.1016/j.compstruct.2019.110927)

Ramírez-Torres, A. , Penta, R. , Rodríguez-Ramos, R., Grillo, A., Preziosi, L., Merodio, J., Guinovart-Díaz, R. and Bravo-Castillero, J. (2019) Homogenized out-of-plane shear response three-scale fiber-reinforced composites. Computing and Visualization in Science, 20(3-6), pp. 85-93. (doi: 10.1007/s00791-018-0301-6)

Dehghani, H., Penta, R. and Merodio, J. (2019) The role of porosity and solid matrix compressibility on the mechanical behavior of poroelastic tissues. Materials Research Express, 6(3), 035404. (doi: 10.1088/2053-1591/aaf5b9)

Penta, R. , Miller, L., Grillo, A., Ramírez-Torres, A. , Mascheroni, P. and Rodríguez-Ramos, R. (2019) Porosity and diffusion in biological tissues. Recent advances and further perspectives. In: Merodio, J. and Ogden, R. (eds.) Constitutive Modelling of Solid Continua. Series: Solid mechanics and its applications (262). Springer: Cham, pp. 311-356. ISBN 9783030315467 (doi: 10.1007/978-3-030-31547-4_11)

Rodríguez-Ramos, R., Ramírez-Torres, A. , Bravo-Castillero, J., Guinovart-Díaz, R., Guinovart-Sanjuán, D., Cruz-González, O. L., Sabina, F. J., Merodio, J. and Penta, R. (2019) Multiscale homogenization for linear mechanics. In: Merodio, J. and Ogden, R. (eds.) Constitutive Modelling of Solid Continua. Series: Solid mechanics and its applications (262). Springer: Cham, pp. 357-389. ISBN 9783030315467 (doi: 10.1007/978-3-030-31547-4_12)

2018

Di Stefano, S., Ramírez-Torres, A. , Penta, R. and Grillo, A. (2018) Self-influenced growth through evolving material inhomogeneities. International Journal of Non-Linear Mechanics, 106, pp. 174-187. (doi: 10.1016/j.ijnonlinmec.2018.08.003)

Ramírez-Torres, A. , Di Stefano, S., Grillo, A., Rodríguez-Ramos, R., Merodio, J. and Penta, R. (2018) An asymptotic homogenization approach to the microstructural evolution of heterogeneous media. International Journal of Non-Linear Mechanics, 106, pp. 245-257. (doi: 10.1016/j.ijnonlinmec.2018.06.012)

Valdés-Ravelo, F., Ramírez-Torres, A. , Rodríguez-Ramos, R., Bravo-Castillero, J., Guinovart-Díaz, R., Merodio, J., Penta, R. , Conci, A., Sabina, F. J. and García-Reimbert, C. (2018) Mathematical modeling of the interplay between stress and anisotropic growth of avascular tumors. Journal of Mechanics in Medicine and Biology, 18(1), 1850006. (doi: 10.1142/s0219519418500069)

Penta, R. , Ramírez-Torres, A. , Merodio, J. and Rodríguez-Ramos, R. (2018) Effective balance equations for elastic composites subject to inhomogeneous potentials. Continuum Mechanics and Thermodynamics, 30(1), pp. 145-163. (doi: 10.1007/s00161-017-0590-x)

Ramírez-Torres, A. , Penta, R. , Rodríguez-Ramos, R., Merodio, J., Sabina, F. J., Bravo-Castillero, J., Guinovart-Díaz, R., Preziosi, L. and Grillo, A. (2018) Three scales asymptotic homogenization and its application to layered hierarchical hard tissues. International Journal of Solids and Structures, 130-31, pp. 190-198. (doi: 10.1016/j.ijsolstr.2017.09.035)

Gerisch, A., Penta, R. and Lang, J. (Eds.) (2018) Multiscale Models in Mechano and Tumor Biology: Modeling, Homogenization, and Applications. Series: Lecture notes in computational science and engineering. Springer. ISBN 9783319733715

Penta, R. and Gerisch, A. (2018) An introduction to asymptotic homogenization. In: Gerisch, A., Penta, R. and Lang, J. (eds.) Multiscale Models in Mechano and Tumor Biology: Modeling, Homogenization, and Applications. Series: Lecture notes in computational science and engineering, 122 (122). Springer, pp. 1-26. ISBN 9783319733708 (doi: 10.1007/978-3-319-73371-5_1)

2017

Sevostianov, I., Trofimov, A., Merodio, J., Penta, R. and Rodriguez-Ramos, R. (2017) Connection between electrical conductivity and diffusion coefficient of a conductive porous material filled with electrolyte. International Journal of Engineering Science, 121, pp. 108-117. (doi: 10.1016/j.ijengsci.2017.08.013)

Penta, R. and Merodio, J. (2017) Homogenized modeling for vascularized poroelastic materials. Meccanica, 52(14), pp. 3321-3343. (doi: 10.1007/s11012-017-0625-1)

Mascheroni, P. and Penta, R. (2017) The role of the microvascular network structure on diffusion and consumption of anticancer drugs. International Journal for Numerical Methods in Biomedical Engineering, 33(10), e2857. (doi: 10.1002/cnm.2857)

Ramírez-Torres, A. , Rodríguez-Ramos, R., Merodio, J., Penta, R. , Bravo-Castillero, J., Guinovart-Díaz, R., Sabina, F. J., García-Reimbert, C., Sevostianov, I. and Conci, A. (2017) The influence of anisotropic growth and geometry on the stress of solid tumors. International Journal of Engineering Science, 119, pp. 40-49. (doi: 10.1016/j.ijengsci.2017.06.011)

Ramírez-Torres, A. , Rodríguez-Ramos, R., Sabina, F. J., García-Reimbert, C., Penta, R. , Merodio, J., Guinovart-Díaz, R., Bravo-Castillero, J., Conci, A. and Preziosi, L. (2017) The role of malignant tissue on the thermal distribution of cancerous breast. Journal of Theoretical Biology, 426, pp. 152-161. (doi: 10.1016/j.jtbi.2017.05.031) (PMID:28552555)

Penta, R. and Gerisch, A. (2017) The asymptotic homogenization elasticity tensor properties for composites with material discontinuities. Continuum Mechanics and Thermodynamics, 29(1), pp. 187-206. (doi: 10.1007/s00161-016-0526-x)

2016

Penta, R. , Raum, K., Grimal, Q., Schrof, S. and Gerisch, A. (2016) Can a continuous mineral foam explain the stiffening of aged bone tissue? A micromechanical approach to mineral fusion in musculoskeletal tissues. Bioinspiration and Biomimetics, 11(3), 035004. (doi: 10.1088/1748-3190/11/3/035004) (PMID:27194094)

2015

Penta, R. and Gerisch, A. (2015) Investigation of the potential of asymptotic homogenization for elastic composites via a three-dimensional computational study. Computing and Visualization in Science, 17(4), pp. 185-201. (doi: 10.1007/s00791-015-0257-8)

Penta, R. and Ambrosi, D. (2015) The role of the microvascular tortuosity in tumor transport phenomena. Journal of Theoretical Biology, 364, pp. 80-97. (doi: 10.1016/j.jtbi.2014.08.007) (PMID:25218498)

Penta, R. , Ambrosi, D. and Quarteroni, A. (2015) Multiscale homogenization for fluid and drug transport in vascularized malignant tissues. Mathematical Models and Methods in Applied Sciences, 25(1), pp. 79-108. (doi: 10.1142/S0218202515500037)

Penta, R. and Mascheroni, P. (2015) The role of the angiogenic network structure on diffusion and consumption of anticancer drugs. In: 4th International Conference on Computational and Mathematical Biomedical Engineering (CMBE2015), Paris, France, 29 Jun - 01 Jul 2015, pp. 186-189.

Penta, R. and Ambrosi, D. (2015) The role of microvascular tortuosity in tumor transport phenomena and future perspective for drug delivery. PAMM: Proceedings in Applied Mathematics and Mechanics, 15(1), pp. 101-102. (doi: 10.1002/pamm.201510041)

2014

Taffetani, M., de Falco, C., Penta, R. , Ambrosi, D. and Ciarletta, P. (2014) Biomechanical modelling in nanomedicine: multiscale approaches and future challenges. Archive of Applied Mechanics, 84(9-11), pp. 1627-1645. (doi: 10.1007/s00419-014-0864-8)

Penta, R. , Ambrosi, D. and Shipley, R. J. (2014) Effective governing equations for poroelastic growing media. Quarterly Journal of Mechanics and Applied Mathematics, 67(1), pp. 69-91. (doi: 10.1093/qjmam/hbt024)

Penta, R. and Ambrosi, D. (2014) Poro-elastic modeling for biological tissues and human eye: recent advances and future perspectives. In: Causin, P., Guidoboni, G., Sacco, R. and Harris, A. (eds.) Integrated Multidisciplinary Approaches in the Study and Care of the Human Eye. Kugler: The Hague. ISBN 9789062992416

This list was generated on Mon Apr 15 15:52:55 2024 BST.

Jump to: Articles | Book Sections | Edited Books | Conference Proceedings

Number of items: 56.

Articles

Miller, L. and Penta, R. (2024) Homogenization of a coupled electrical and mechanical bidomain model for the myocardium. Mathematics and Mechanics of Solids, (doi: 10.1177/10812865231207600)

Miller, L. and Penta, R. (2021) Double poroelasticity derived from the microstructure. Acta Mechanica, 232(10), pp. 3801-3823. (doi: 10.1007/s00707-021-03030-4)

Miller, L. and Penta, R. (2021) Homogenized balance equations for nonlinear poroelastic composites. Applied Sciences, 11(14), 6611. (doi: 10.3390/app11146611)

Miller, L. and Penta, R. (2020) Effective balance equations for poroelastic composites. Continuum Mechanics and Thermodynamics, 32(6), pp. 1533-1557. (doi: 10.1007/s00161-020-00864-6)

Penta, R. and Merodio, J. (2017) Homogenized modeling for vascularized poroelastic materials. Meccanica, 52(14), pp. 3321-3343. (doi: 10.1007/s11012-017-0625-1)

Book Sections

Edited Books

Conference Proceedings

This list was generated on Mon Apr 15 15:52:55 2024 BST.

Grants

(CI) EPSRC Research Hub for Mathematical Sciences in Healthcare "The SofTMech Statistical Emulation and Translation Hub" , £1.22M https://gow.epsrc.ukri.org/NGBOViewGrant.aspx?GrantRef=EP/T017899/1

(CI) EPSRC International Centre to Centre Fund "SofTMech with MIT and POLIMI (SofTMech-MP)", £1.6M https://gow.epsrc.ukri.org/NGBOViewGrant.aspx?GrantRef=EP/S030875/1

Supervision

Alwady, Mohammed Mahdi M
Multiscale modelling of liquid crystal-filled porous media

Teaching

A.Y. 2020/2021

4H/5E Partial Differential Equations (First semester)

Course Head https://www.gla.ac.uk/coursecatalogue/course/?code=MATHS4110

SMSTC Mathematical Biology and Physiology (Second semester)

Lecturer of the Section "Homogenisation methods in mathematical biology” https://smstc.ac.uk/modules/mathematical-biology-and-physiology

A.Y. 2019/2020

4H/5E Partial Differential Equations (First semester)

Course Head https://www.gla.ac.uk/coursecatalogue/course/?code=MATHS4110

SMSTC Mathematical Biology and Physiology (Second semester)

Lecturer of the Section "Homogenisation methods in mathematical biology” https://smstc.ac.uk/modules/mathematical-biology-and-physiology

A.Y. 2018/2019

4H/5E PDEs - Course Head (First semester)

3H/3V Dynamical systems - Course Head (Second semester)

A.Y. 2017/2018