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

The focus of my investigations is on the mathematical modelling of real-world problems within a biological context, which, may be divided into two strands. The first addresses theoretical, modelling, and computational issues of specific classes of biomechanical problems. The second focuses on the constitutive characterisation of markedly heterogeneous materials distinguished by different characteristic length scales.

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

Research units

Publications

List by: Type | Date

Jump to: 2022 | 2021 | 2020 | 2019 | 2018 | 2017 | 2015 | 2013
Number of items: 28.

2022

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

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)

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)

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)

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 Fri Jan 27 06:05:41 2023 GMT.
Number of items: 28.

Articles

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)

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)

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)

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)

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 Fri Jan 27 06:05:41 2023 GMT.

Teaching