Denisa Martonová

2025

• Flaschel M., Martonová D., Veil C., Kuhl E.:
  Material Fingerprinting: A shortcut to material model discovery without solving optimization problems
  In: Computer Methods in Applied Mechanics and Engineering 450 (2025)
  ISSN: 0045-7825
  DOI: 10.1016/j.cma.2025.118573
• Martonová D., Goriely A., Kuhl E.:
  Generalized invariants meet constitutive neural networks: A novel framework for hyperelastic materials
  In: Journal of the Mechanics and Physics of Solids 206 (2025), Article No.: 106352
  ISSN: 0022-5096
  DOI: 10.1016/j.jmps.2025.106352
• Martonová D., Leyendecker S., Holzapfel GA., Kuhl E.:
  Discovering dispersion: How robust is automated model discovery for human myocardial tissue?
  In: Biomechanics and Modeling in Mechanobiology (2025)
  ISSN: 1617-7959
  DOI: 10.1007/s10237-025-02005-x
• Martonová D., Peirlinck M., Holzapfel GA., Leyendecker S., Kuhl E.:
  Robust material model discovery for human myocardium
  30th Congress of the European Society of Biomechanics (ESB) (Zürich, Switzerland, July 6, 2025 - July 9, 2025)
• Tran T., Martonová D., Leyendecker S.:
  Modelling and simulation of electro-mechanically coupled dielectric elastomers and myocardial tissue using smoothed finite element methods
  (2025)
  DOI: 10.48550/arXiv.2507.22838

2024

• Leyendecker S., Martonová D., Stavole M.:
  Structure preserving neural network-based methods — Euler’s elastica and cardiac model discovery
  conference, NUMDIFF-17 Conference on the Numerical Solution of Differential and Differential-Algebraic Equations (Halle, September 9, 2024 - September 13, 2024)
• Martonová D., Peirlinck M., Linka K., Holzapfel GA., Leyendecker S., Kuhl E.:
  Automated model discovery for human cardiac tissue
  conference, Netzwerktagung der Alexander von Humboldt Stiftung (Erlangen, November 21, 2024)
• Martonová D., Peirlinck M., Linka K., Holzapfel GA., Leyendecker S., Kuhl E.:
  Automated model discovery for human cardiac tissue: Discovering the best model and parameters
  In: Computer Methods in Applied Mechanics and Engineering 428 (2024), Article No.: 117078
  ISSN: 0045-7825
  DOI: 10.1016/j.cma.2024.117078
• Martonová D., Peirlinck M., Linka K., Holzapfel GA., Leyendecker S., Kuhl E.:
  Constitutive neural networks for model discovery of myocardial tissue
  conference, CMBBE 2024 SYMPOSIUM, 19th International Symposium on Computer Methods in Biomechanics and Biomedical Engineering (Vancouver, July 30, 2024 - August 1, 2024)

2023

• Holz D., Martonová D., Schaller E., Duong MT., Alkassar M., Weyand M., Leyendecker S.:
  Transmural fibre orientations based on Laplace-Dirichlet-Rule-Based-Methods and their influence on human heart simulations
  In: Journal of Biomechanics (2023), Article No.: 111643
  ISSN: 0021-9290
  DOI: 10.1016/j.jbiomech.2023.111643
• Martonová D.:
  Computational modelling and simulation of rat heart electromechanics – from (smoothed) finite element methods towards a ligand-receptor model (Dissertation, 2023)
  URL: https://www.ltd.tf.fau.de/files/2024/05/dissertation-denisa-martonova.pdf
• Martonová D., Holz D., Duong MT., Leyendecker S.:
  Smoothed finite element methods in modelling and simulation of active cardiac contraction
  conference, 18th International Symposium on Computer Methods in Biomechanics and Biomedical Engineering (Paris, May 3, 2023 - May 5, 2023)
• Martonová D., Holz D., Duong MT., Leyendecker S.:
  Smoothed finite element methods in simulation of active contraction of myocardial tissue samples
  In: Journal of Biomechanics (2023)
  ISSN: 0021-9290
  DOI: 10.1016/j.jbiomech.2023.111691
• Martonová D., Lavaill M., Forwood MR., Robling A., Cooper DML., Leyendecker S., Pivonka P.:
  Effects of PTH glandular and external dosing patterns on bone cell activity using a two-state receptor model—Implications for bone disease progression and treatment
  In: PLoS ONE (2023)
  ISSN: 1932-6203
  DOI: 10.1371/journal.pone.0283544

2022

• Holz D., Martonová D., Schaller E., Duong MT., Alkassar M., Leyendecker S.:
  The influence of the orthotropic tissue in an electromechanical heart model
  conference, 27th Congress of the European Society of Biomechanics (Porto, June 26, 2022 - June 29, 2022)
• Martonová D., Holz D., Brackenhammer D., Weyand M., Leyendecker S., Alkassar M.:
  Support Pressure Acting on the Epicardial Surface of a Rat Left Ventricle — A Computational Study
  In: Frontiers in Cardiovascular Medicine 9 (2022)
  ISSN: 2297-055X
  DOI: 10.3389/fcvm.2022.850274
• Martonová D., Holz D., Seufert J., Duong MT., Alkassar M., Leyendecker S.:
  Comparison of stress and stress–strain approaches for the active contraction in a rat cardiac cycle model
  In: Journal of Biomechanics 134 (2022), Article No.: 110980
  ISSN: 0021-9290
  DOI: 10.1016/j.jbiomech.2022.110980

2021

• Holz D., Duong MT., Martonová D., Alkassar M., Leyendecker S.:
  A Transmural Path Model Improves the Definition of the Orthotropic Tissue Structure in Heart Simulations
  In: Journal of Biomechanical Engineering-Transactions of the Asme 144 (2021), p. 031002 (10 pages)
  ISSN: 0148-0731
  DOI: 10.1115/1.4052219
• Holz D., Duong MT., Martonová D., Alkassar M., Leyendecker S.:
  Discontinuous Galerkin-based approach to define orthotropic tissue structure in computational heart models
  conference, International Conference on Computational Biomechanics (Paris, September 20, 2021 - September 21, 2021)
• Martonová D., Alkassar M., Seufert J., Holz D., Duong MT., Reischl B., Friedrich O., Leyendecker S.:
  Characterisation of passive mechanical properties in healthy and infarcted rat myocardium
  conference, GAMM Annual Meeting (Kassel, March 15, 2021 - March 19, 2021)
• Martonová D., Alkassar M., Seufert J., Holz D., Duong MT., Reischl B., Friedrich O., Leyendecker S.:
  Influence of passive mechanical properties in healthy and infarcted rat myocardium on the cardiac cycle
  GAMM Annual Meeting (Kassel, March 15, 2021 - March 19, 2021)
  In: Proc. Appl. Math. Mech. (PAMM) 2021
  DOI: 10.1002/pamm.202100054
• Martonová D., Alkassar M., Seufert J., Holz D., Duong MT., Reischl B., Friedrich O., Leyendecker S.:
  Passive mechanical properties in healthy and infarcted rat left ventricle characterised via a mixture model
  In: Journal of the Mechanical Behavior of Biomedical Materials 119 (2021), Article No.: 104430
  ISSN: 1751-6161
  DOI: 10.1016/j.jmbbm.2021.104430
• Martonová D., Holz D., Duong MT., Leyendecker S.:
  Towards the simulation of active cardiac mechanics using a smoothed finite element method
  In: Journal of Biomechanics 115 (2021), p. 110153
  ISSN: 0021-9290
  DOI: 10.1016/j.jbiomech.2020.110153

2019

• Holz D., Duong MT., Martonová D., Alkassar M., Dittrich S., Leyendecker S.:
  Möglichkeiten und Perspektiven der Modellierung und Simulation
  Wissenschaftliche Jahrestagung der Deutschen Gesellschaft für Thorax-, Herz- und Gefäßchirurgie (Wiesbaden, February 16, 2019 - February 19, 2019)

2018

• Martonová D.:
  Modellierung von Wachstumsprozessen unter dem Einfluss von elastischen Spannungen mit hyperelastischen Energiedichten (Master thesis, 2018)