Dr Ariel Ramirez Torres

  • Lecturer (Mathematics)

email: Ariel.RamirezTorres@glasgow.ac.uk

School of Mathematics & Statistics, Mathematics & Statistics Building, University Place, Glasgow, G12 8QQ

ORCID iDhttps://orcid.org/0000-0002-5775-8985

Research interests

My research addresses problems of current interest in Homogenisation Theory, Continuum Mechanics, and Fractional Calculus. The focus of my investigations is on the mathematical modelling of real-world problems within a biological context.

Publications

List by: Type | Date

Jump to: 2021 | 2020 | 2019 | 2018 | 2017 | 2015 | 2013
Number of items: 27.

2021

Ramírez-Torres, A. , Di Stefano, S. and Grillo, A. (2021) Influence of non-local diffusion in avascular tumour growth. Mathematics and Mechanics of Solids, 26(9), pp. 1264-1293. (doi: 10.1177/1081286520975086)

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)

Ramírez-Torres, A. , Penta, R. and Grillo, A. (2021) Two-scale, non-local diffusion in homogenised heterogeneous media. Archive of Applied Mechanics, (doi: 10.1007/s00419-020-01880-3) (Early Online Publication)

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)

Hashlamoun, K., Abusara, Z., Ramirez Torres, A. , Grillo, A., Herzog, W. and Federico, S. (2020) Fluorescence recovery after photobleaching: direct measurement of diffusion anisotropy. Biomechanics and Modeling in Mechanobiology, 19(6), pp. 2397-2412. (doi: 10.1007/s10237-020-01346-z) (PMID:32562093)

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. (2020) A hierarchical asymptotic homogenization approach for viscoelastic composites. Mechanics of Advanced Materials and Structures, (doi: 10.1080/15376494.2020.1722872) (Early Online Publication)

Bravo-Castillero, J., Ramírez-Torres, A. , Sabina, F. J., García-Reimbert, C., Guinovart-Díaz, R. and Rodríguez-Ramos, R. (2020) Analytical formulas for complex permittivity of periodic composites. Estimation of gain and loss enhancement in active and passive composites. Waves in Random and Complex Media, 30(4), pp. 593-613. (doi: 10.1080/17455030.2018.1546063)

2019

Yañez-Olmos, D., Bravo-Castillero, J., Ramírez-Torres, A. , Rodríguez-Ramos, R. and Sabina, F. J. (2019) Effective coefficients of isotropic complex dielectric composites in a hexagonal array. Technische Mechanik, 39(2), pp. 220-228. (doi: 10.24352/UB.OVGU-2019-020)

Grillo, A., Di Stefano, S., Ramírez‐Torres, A. and Loverre, M. (2019) A study of growth and remodeling in isotropic tissues, based on the Anand‐Aslan‐Chester theory of strain‐gradient plasticity. GAMM Mitteilungen, 42(4), e201900015. (doi: 10.1002/gamm.201900015)

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)

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)

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)

2017

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)

Ramírez-Torres, A. , Rodríguez-Ramos, R., Conci, F.J., García-Reimbert, C., Preziosi, L., Merodio, J. and Lebon, F. (2017) A semi-analytical heterogeneous model for thermal analysis of cancerous breasts. In: Ng, E. Y.K. and Etehadtavakol, M. (eds.) Application of Infrared to Biomedical Sciences. Series: Series in BioEngineering. Springer: Singapore, pp. 175-190. ISBN 9789811031465 (doi:10.1007/978-981-10-3147-2_11)

Interian, R., Rodríguez-Ramos, R., Valdés-Ravelo, F., Ramírez-Torres, A. , Ribeiro, C. C. and Conci, A. (2017) Tumor growth modelling by cellular automata. Mathematics and Mechanics of Complex Systems, 5(3-4), pp. 239-259. (doi: 10.2140/memocs.2017.5.239)

2015

Ramírez-Torres, A. , Rodríguez-Ramos, R., Merodio, J., Bravo-Castillero, J., Guinovart-Díaz, R. and Alfonso, J.C.L. (2015) Mathematical modeling of anisotropic avascular tumor growth. Mechanics Research Communications, 69, pp. 8-14. (doi: 10.1016/j.mechrescom.2015.06.002)

Ramírez-Torres, A. , Rodríguez-Ramos, R., Merodio, J., Bravo-Castillero, J., Guinovart-Díaz, R. and Alfonso, J.C.L. (2015) Action of body forces in tumor growth. International Journal of Engineering Science, 89, pp. 18-34. (doi: 10.1016/j.ijengsci.2014.11.009)

2013

Ramírez-Torres, A. , Rodríguez-Ramos, R., Glüge, R., Bravo-Castillero, J., Guinovart-Díaz, R. and Rodríguez-Sanchez, R. (2013) Biomechanic approach of a growing tumor. Mechanics Research Communications, 51, pp. 32-38. (doi: 10.1016/j.mechrescom.2013.04.006)

This list was generated on Thu Sep 16 14:07:30 2021 BST.
Number of items: 27.

Articles

Ramírez-Torres, A. , Di Stefano, S. and Grillo, A. (2021) Influence of non-local diffusion in avascular tumour growth. Mathematics and Mechanics of Solids, 26(9), pp. 1264-1293. (doi: 10.1177/1081286520975086)

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)

Ramírez-Torres, A. , Penta, R. and Grillo, A. (2021) Two-scale, non-local diffusion in homogenised heterogeneous media. Archive of Applied Mechanics, (doi: 10.1007/s00419-020-01880-3) (Early Online Publication)

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)

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)

Hashlamoun, K., Abusara, Z., Ramirez Torres, A. , Grillo, A., Herzog, W. and Federico, S. (2020) Fluorescence recovery after photobleaching: direct measurement of diffusion anisotropy. Biomechanics and Modeling in Mechanobiology, 19(6), pp. 2397-2412. (doi: 10.1007/s10237-020-01346-z) (PMID:32562093)

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. (2020) A hierarchical asymptotic homogenization approach for viscoelastic composites. Mechanics of Advanced Materials and Structures, (doi: 10.1080/15376494.2020.1722872) (Early Online Publication)

Bravo-Castillero, J., Ramírez-Torres, A. , Sabina, F. J., García-Reimbert, C., Guinovart-Díaz, R. and Rodríguez-Ramos, R. (2020) Analytical formulas for complex permittivity of periodic composites. Estimation of gain and loss enhancement in active and passive composites. Waves in Random and Complex Media, 30(4), pp. 593-613. (doi: 10.1080/17455030.2018.1546063)

Yañez-Olmos, D., Bravo-Castillero, J., Ramírez-Torres, A. , Rodríguez-Ramos, R. and Sabina, F. J. (2019) Effective coefficients of isotropic complex dielectric composites in a hexagonal array. Technische Mechanik, 39(2), pp. 220-228. (doi: 10.24352/UB.OVGU-2019-020)

Grillo, A., Di Stefano, S., Ramírez‐Torres, A. and Loverre, M. (2019) A study of growth and remodeling in isotropic tissues, based on the Anand‐Aslan‐Chester theory of strain‐gradient plasticity. GAMM Mitteilungen, 42(4), e201900015. (doi: 10.1002/gamm.201900015)

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)

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)

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)

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)

Interian, R., Rodríguez-Ramos, R., Valdés-Ravelo, F., Ramírez-Torres, A. , Ribeiro, C. C. and Conci, A. (2017) Tumor growth modelling by cellular automata. Mathematics and Mechanics of Complex Systems, 5(3-4), pp. 239-259. (doi: 10.2140/memocs.2017.5.239)

Ramírez-Torres, A. , Rodríguez-Ramos, R., Merodio, J., Bravo-Castillero, J., Guinovart-Díaz, R. and Alfonso, J.C.L. (2015) Mathematical modeling of anisotropic avascular tumor growth. Mechanics Research Communications, 69, pp. 8-14. (doi: 10.1016/j.mechrescom.2015.06.002)

Ramírez-Torres, A. , Rodríguez-Ramos, R., Merodio, J., Bravo-Castillero, J., Guinovart-Díaz, R. and Alfonso, J.C.L. (2015) Action of body forces in tumor growth. International Journal of Engineering Science, 89, pp. 18-34. (doi: 10.1016/j.ijengsci.2014.11.009)

Ramírez-Torres, A. , Rodríguez-Ramos, R., Glüge, R., Bravo-Castillero, J., Guinovart-Díaz, R. and Rodríguez-Sanchez, R. (2013) Biomechanic approach of a growing tumor. Mechanics Research Communications, 51, pp. 32-38. (doi: 10.1016/j.mechrescom.2013.04.006)

Book Sections

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)

Ramírez-Torres, A. , Rodríguez-Ramos, R., Conci, F.J., García-Reimbert, C., Preziosi, L., Merodio, J. and Lebon, F. (2017) A semi-analytical heterogeneous model for thermal analysis of cancerous breasts. In: Ng, E. Y.K. and Etehadtavakol, M. (eds.) Application of Infrared to Biomedical Sciences. Series: Series in BioEngineering. Springer: Singapore, pp. 175-190. ISBN 9789811031465 (doi:10.1007/978-981-10-3147-2_11)

This list was generated on Thu Sep 16 14:07:30 2021 BST.

Supervision

Potential PhD students can contact me at Ariel.RamirezTorres@glasgow.ac.uk.

Possible PhD projects are related to:

  • Mathematical and computational modelling of heterogeneous biological tissues
  • Modelling and simulations of non-local phenomena
  • Investigation of the role of the internal structure in the characterisation of multi-scale biological media