Professor Gerhard Holzapfel
- Visiting Professor (School of Mathematics & Statistics)
Publications
2020
Holzapfel, G. A. and Ogden, R. W. (2020) An arterial constitutive model accounting for collagen content and cross-linking. Journal of the Mechanics and Physics of Solids, 136, 103682. (doi: 10.1016/j.jmps.2019.103682) (PMID:26654765) (PMCID:PMC4728033)
2019
Sherifova, S., Sommer, G., Viertler, C., Regitnig, P., Caranasos, T., Smith, M. A., Griffith, B. E., Ogden, R. W. and Holzapfel, G. A. (2019) Failure properties and microstructure of healthy and aneurysmatic human thoracic aortas subjected to uniaxial extension with a focus on the media. Acta Biomaterialia, 99, pp. 443-456. (doi: 10.1016/j.actbio.2019.08.038) (PMID:31465883) (PMCID:PMC6851440)
2018
Holzapfel, G. A. and Ogden, R. W. (2018) Biomechanical relevance of the microstructure in artery walls with a focus on passive and active components. American Journal of Physiology: Heart and Circulatory Physiology, 315(3), H540-H549. (doi: 10.1152/ajpheart.00117.2018) (PMID:29799274)
Li, K., Ogden, R. W. and Holzapfel, G. A. (2018) An exponential constitutive model excluding fibers under compression: application to extension-inflation of a residually stressed carotid artery. Mathematics and Mechanics of Solids, 23(8), pp. 1206-1224. (doi: 10.1177/1081286517712077)
Li, K., Ogden, R. W. and Holzapfel, G. A. (2018) Modeling of fibrous biological tissues with a general invariant that excludes compressed fibers. Journal of the Mechanics and Physics of Solids, 110, pp. 38-53. (doi: 10.1016/j.jmps.2017.09.005)
Li, K., Ogden, R. W. and Holzapfel, G. A. (2018) A discrete fibre dispersion method for excluding fibres under compression in the modeling of fibrous tissues. Journal of the Royal Society: Interface, 15(138), 20170766. (doi: 10.1098/rsif.2017.0766) (PMID:29386399)
2017
Holzapfel, G. A. and Ogden, R. W. (2017) Comparison of two model frameworks for fiber dispersion in the elasticity of soft biological tissues. European Journal of Mechanics - A/Solids, 66, pp. 193-200. (doi: 10.1016/j.euromechsol.2017.07.005)
Budday, S., Sommer, G., Haybaeck, J., Steinmann, P. , Holzapfel, G. and Kuhl, E. (2017) Rheological characterization of human brain tissue. Acta Biomaterialia, 60, pp. 315-329. (doi: 10.1016/j.actbio.2017.06.024) (PMID:28658600)
Budday, S. et al. (2017) Mechanical characterization of human brain tissue. Acta Biomaterialia, 48, pp. 319-340. (doi: 10.1016/j.actbio.2016.10.036) (PMID:27989920)
Holzapfel, G. A. and Ogden, R. W. eds. (2017) Biomechanics: Trends in Modeling and Simulation. Series: Studies in Mechanobiology, Tissue Engineering and Biomaterials, 20. Springer. ISBN 9783319414737 (doi: 10.1007/978-3-319-41475-1)
2015
Qi, N., Gao, H. , Ogden, R. W. , Hill, N. A. , Holzapfel, G. A., Han, H. and Luo, X. (2015) Investigation of the optimal collagen fibre orientation in human iliac arteries. Journal of the Mechanical Behavior of Biomedical Materials, 52, pp. 108-119. (doi: 10.1016/j.jmbbm.2015.06.011) (PMID:26195342)
Holzapfel, G. A., Niestrawska, J. A., Ogden, R. W. , Reinisch, A. J. and Schriefl, A. J. (2015) Modelling non-symmetric collagen fibre dispersion in arterial walls. Journal of the Royal Society: Interface, 12(106), 20150188. (doi: 10.1098/rsif.2015.0188) (PMID:25878125) (PMCID:PMC4424700)
Grytsan, A., Watton, P. N. and Holzapfel, G. (2015) A thick-walled fluid–solid-growth model of abdominal aortic aneurysm evolution: application to a patient-specific geometry. Journal of Biomechanical Engineering, 137(3), 031008. (doi: 10.1115/1.4029279) (PMID:25473877)
Holzapfel, G. A. and Ogden, R. W. (2015) On the tension–compression switch in soft fibrous solids. European Journal of Mechanics - A/Solids, 49, pp. 561-569. (doi: 10.1016/j.euromechsol.2014.09.005)
2014
Holzapfel, G. and Ogden, R. W. (2014) Letter to the editor Re "Measurement of the uniaxial mechanical properties of healthy and atherosclerotic human coronary arteries". Materials Science and Engineering C: Biomimetic and Supramolecular Systems, 34, pp. 491-492. (doi: 10.1016/j.msec.2013.10.001)
Holzapfel, G.A. and Ogden, R.W. (2014) Re ‘How should we measure and report elasticity of aortic tissue? European Journal of Vascular and Endovascular Surgery, 47(1), pp. 110-111. (doi: 10.1016/j.ejvs.2013.10.018)
2009
Watton, P. N. , Raberger, N. B., Holzapfel, G. A. and Ventikos, Y. (2009) Coupling the hemodynamic environment to the evolution of cerebral aneurysms: computational framework and numerical examples. Journal of Biomechanical Engineering, 131(10), 101003. (doi: 10.1115/1.3192141)
Watton, P. N. , Ventikos, Y. and Holzapfel, G. A. (2009) Modelling the growth and stabilization of cerebral aneurysms. Mathematical Medicine and Biology, 26(2), pp. 133-164. (doi: 10.1093/imammb/dqp001)
Watton, P. N. , Ventikos, Y. and Holzapfel, G. A. (2009) Modelling the mechanical response of elastin for arterial tissue. Journal of Biomechanics, 42(9), pp. 1320-1325. (doi: 10.1016/j.jbiomech.2009.03.012) (PMID:19394942)
Holzapfel, G.A. and Ogden, R.W. (Eds.) (2009) Biomechanical Modelling at the Molecular, Cellular and Tissue Levels. Series: CISM courses and lectures. Springer: Vienna, Austria. ISBN 9783211958735
Watton, P. N. , Ventikos, Y. and Holzapfel, G. A. (2009) Coupling the Haemodynamic Environment to the Evolution of Cerebral Aneurysms. In: ASME 2009 Summer Bioengineering Conference, Lake Tahoe, California, 17-21 June 2009, pp. 161-162. ISBN 9780791848913 (doi: 10.1115/SBC2009-206756)
Articles
Holzapfel, G. A. and Ogden, R. W. (2020) An arterial constitutive model accounting for collagen content and cross-linking. Journal of the Mechanics and Physics of Solids, 136, 103682. (doi: 10.1016/j.jmps.2019.103682) (PMID:26654765) (PMCID:PMC4728033)
Sherifova, S., Sommer, G., Viertler, C., Regitnig, P., Caranasos, T., Smith, M. A., Griffith, B. E., Ogden, R. W. and Holzapfel, G. A. (2019) Failure properties and microstructure of healthy and aneurysmatic human thoracic aortas subjected to uniaxial extension with a focus on the media. Acta Biomaterialia, 99, pp. 443-456. (doi: 10.1016/j.actbio.2019.08.038) (PMID:31465883) (PMCID:PMC6851440)
Holzapfel, G. A. and Ogden, R. W. (2018) Biomechanical relevance of the microstructure in artery walls with a focus on passive and active components. American Journal of Physiology: Heart and Circulatory Physiology, 315(3), H540-H549. (doi: 10.1152/ajpheart.00117.2018) (PMID:29799274)
Li, K., Ogden, R. W. and Holzapfel, G. A. (2018) An exponential constitutive model excluding fibers under compression: application to extension-inflation of a residually stressed carotid artery. Mathematics and Mechanics of Solids, 23(8), pp. 1206-1224. (doi: 10.1177/1081286517712077)
Li, K., Ogden, R. W. and Holzapfel, G. A. (2018) Modeling of fibrous biological tissues with a general invariant that excludes compressed fibers. Journal of the Mechanics and Physics of Solids, 110, pp. 38-53. (doi: 10.1016/j.jmps.2017.09.005)
Li, K., Ogden, R. W. and Holzapfel, G. A. (2018) A discrete fibre dispersion method for excluding fibres under compression in the modeling of fibrous tissues. Journal of the Royal Society: Interface, 15(138), 20170766. (doi: 10.1098/rsif.2017.0766) (PMID:29386399)
Holzapfel, G. A. and Ogden, R. W. (2017) Comparison of two model frameworks for fiber dispersion in the elasticity of soft biological tissues. European Journal of Mechanics - A/Solids, 66, pp. 193-200. (doi: 10.1016/j.euromechsol.2017.07.005)
Budday, S., Sommer, G., Haybaeck, J., Steinmann, P. , Holzapfel, G. and Kuhl, E. (2017) Rheological characterization of human brain tissue. Acta Biomaterialia, 60, pp. 315-329. (doi: 10.1016/j.actbio.2017.06.024) (PMID:28658600)
Budday, S. et al. (2017) Mechanical characterization of human brain tissue. Acta Biomaterialia, 48, pp. 319-340. (doi: 10.1016/j.actbio.2016.10.036) (PMID:27989920)
Qi, N., Gao, H. , Ogden, R. W. , Hill, N. A. , Holzapfel, G. A., Han, H. and Luo, X. (2015) Investigation of the optimal collagen fibre orientation in human iliac arteries. Journal of the Mechanical Behavior of Biomedical Materials, 52, pp. 108-119. (doi: 10.1016/j.jmbbm.2015.06.011) (PMID:26195342)
Holzapfel, G. A., Niestrawska, J. A., Ogden, R. W. , Reinisch, A. J. and Schriefl, A. J. (2015) Modelling non-symmetric collagen fibre dispersion in arterial walls. Journal of the Royal Society: Interface, 12(106), 20150188. (doi: 10.1098/rsif.2015.0188) (PMID:25878125) (PMCID:PMC4424700)
Grytsan, A., Watton, P. N. and Holzapfel, G. (2015) A thick-walled fluid–solid-growth model of abdominal aortic aneurysm evolution: application to a patient-specific geometry. Journal of Biomechanical Engineering, 137(3), 031008. (doi: 10.1115/1.4029279) (PMID:25473877)
Holzapfel, G. A. and Ogden, R. W. (2015) On the tension–compression switch in soft fibrous solids. European Journal of Mechanics - A/Solids, 49, pp. 561-569. (doi: 10.1016/j.euromechsol.2014.09.005)
Holzapfel, G. and Ogden, R. W. (2014) Letter to the editor Re "Measurement of the uniaxial mechanical properties of healthy and atherosclerotic human coronary arteries". Materials Science and Engineering C: Biomimetic and Supramolecular Systems, 34, pp. 491-492. (doi: 10.1016/j.msec.2013.10.001)
Holzapfel, G.A. and Ogden, R.W. (2014) Re ‘How should we measure and report elasticity of aortic tissue? European Journal of Vascular and Endovascular Surgery, 47(1), pp. 110-111. (doi: 10.1016/j.ejvs.2013.10.018)
Watton, P. N. , Raberger, N. B., Holzapfel, G. A. and Ventikos, Y. (2009) Coupling the hemodynamic environment to the evolution of cerebral aneurysms: computational framework and numerical examples. Journal of Biomechanical Engineering, 131(10), 101003. (doi: 10.1115/1.3192141)
Watton, P. N. , Ventikos, Y. and Holzapfel, G. A. (2009) Modelling the growth and stabilization of cerebral aneurysms. Mathematical Medicine and Biology, 26(2), pp. 133-164. (doi: 10.1093/imammb/dqp001)
Watton, P. N. , Ventikos, Y. and Holzapfel, G. A. (2009) Modelling the mechanical response of elastin for arterial tissue. Journal of Biomechanics, 42(9), pp. 1320-1325. (doi: 10.1016/j.jbiomech.2009.03.012) (PMID:19394942)
Books
Holzapfel, G. A. and Ogden, R. W. eds. (2017) Biomechanics: Trends in Modeling and Simulation. Series: Studies in Mechanobiology, Tissue Engineering and Biomaterials, 20. Springer. ISBN 9783319414737 (doi: 10.1007/978-3-319-41475-1)
Edited Books
Holzapfel, G.A. and Ogden, R.W. (Eds.) (2009) Biomechanical Modelling at the Molecular, Cellular and Tissue Levels. Series: CISM courses and lectures. Springer: Vienna, Austria. ISBN 9783211958735
Conference Proceedings
Watton, P. N. , Ventikos, Y. and Holzapfel, G. A. (2009) Coupling the Haemodynamic Environment to the Evolution of Cerebral Aneurysms. In: ASME 2009 Summer Bioengineering Conference, Lake Tahoe, California, 17-21 June 2009, pp. 161-162. ISBN 9780791848913 (doi: 10.1115/SBC2009-206756)