Research Interests:
  • Computational Solid Mechanics and Constitutive Theory
  • Computational Modeling of Cardiac Electromechanics
  • Constitutive Modeling of Thermomechanical Concrete Hardening
  • Computational Mechanics of Electro-Active Materials
  • Micro-Macro Modeling of Rubbery and Glassy Polymers
Research Projects:
  • METU BAP Seed Project - "Theoretical and Computational Approaches to the Coupled Thermomechanics of Glassy Polymers", Grant: 30,000 TL, Duration: 29 Months, Start: March 2011, End: December 2014

  • EU FP7-People-Marie Curie Career Integration Grant (CIG) - "VHEART: Virtual Heart Models: Multi-Physics Approaches to Computational Cardiology", Grant: € 100,000, Duration: 4 years, Start: September 2011, End: August 2015
Project Summary:
In the EU alone, heart disease causes over two million deaths each year. In spite of a broad spectrum of treatment techniques such as medication, surgery, and tissue-engineered therapies, heart disease remains to be one of the most frequent, disabling, and life-threatening diseases. More importantly, the rate of deaths due to cardiac disease is expected to rise in the near future. As opposed to the traditional trial-and-error based therapies, a systematic, personalized simulation-aided approach offers a great potential for understanding, diagnosing, and treating heart failure through the sound understanding of functional and structural changes in the infarcted tissue and the computational tools of multi-scale solid mechanics. The overall goal of this interdisciplinary research project is to develop multi-scale continuum mechanics models supplemented by robust and efficient computational techniques to improve the understanding of the complex bio-electro-mechanical underpinning mechanisms in cardiac function and diseases. To this end, we have developed a novel, monolithic, and unconditionally stable finite element algorithms for the mono- and bi-domain based approach to cardiac electrophysiology and electromechanics. Moreover, we have developed a coupled chemo-electro-mechanical model that allows us to predict how chemical, electrical, and mechanical fields interact across three biological scales during throughout a cardiac cycle. Pharmacological treatment of cardiac disease has advanced significantly over the past decades. Hence, the proposed algorithms and models has a great potential to open new avenues to patient specific therapy design by circumventing stability and convergence issues inherent to conventional staggered solution and to elucidation how the local biochemistry of an individual heart cell translates into global cardiac function. In addition, we have generalized the one-dimensional Hill model to the three-dimensional setting where the advantageous features of the active-stress and active-strain approaches are incorporated within a unified constitutive framework. The inherently anisotropic microstructure of cardiac tissue is accounted for in the active deformation tensor that evolves with the intracellular calcium transient. The proposed formulation is the generalization of the approaches that employ either additive stress decomposition or the split of the deformation. We anticipate our generalized Hill model to be broadly applicable to smooth muscle, skeletal muscle, and cardiac muscle and to provide sound and fundamental insight into dysregulated excitation-contraction coupling in various diseases such as gastrointestinal track disorders, vascular disorders, neuromuscular diseases, and heart disease. By using the models developed, we have started to investigate different types of heart disease related to the electrophysiology and electromechanics of the heart. For this purpose, we have considered infarction, eccentric and concentric hypertrophy as examples related to cardiac mechanics and the left bundle block and fibrillation as instances of cardiac electrophysiology. Our computational results favorably resemble the clinical findings based on pressure-volume curves and electrocardiograms.
Dissemination:
  1. H. Dal, S. Göktepe, M. Kaliske, and E. Kuhl: "A Fully Implicit Finite Element Method for Bidomain Models of Cardiac Electromechanics", Computer Methods in Applied Mechanics and Engineering, vol.253, 2013, pp.323-336. Published Online: July 24, 2012

  2. J. Wong, S. Göktepe, and E. Kuhl: "Computational Modeling of Chemo-Electro-Mechanical Coupling: A Novel Implicit Monolithic Finite Element Approach", International Journal for Numerical Methods in Biomedical Engineering, vol.29, 2013, pp.1104-1133. Published Online: June 24, 2013.

  3. E. Berberoğlu, H. O. Solmaz, and S. Göktepe: "Computational Approaches to Coupled Cardiac Electromechanics Incorporating Dysfunctional Cases", European Journal of Mechanics - A/Solids, vol. 48, 2014, pp. 60-73. Published Online: April 13, 2014.

  4. S. Göktepe, A. Menzel, and E. Kuhl: "The Generalized Hill Model: A Kinematic Apprach Towards Active Muscle Contraction", Journal of the Mechanics and Physics of Solids , vol. 72, 2014, pp. 20-39. Published Online: August 14, 2014.

  5. Virtual Heart Models: Short Video

  6. S. Göktepe, A. Menzel, and E. Kuhl: "Micro-Structurally Based Kinematic Approaches to Electromechanics of the Heart" IUTAM Symposium on Computer Models in Biomechanics: from Nano to Macro, Holzapfel, G. and Kuhl, E.. (Eds.), Springer, 2013.

  7. S. Göktepe: "Eşyönsüz Mikro Yapιya Sahip Kalp Dokusundaki Büyümenin Modellenmesi Üzerine", Proceedings of the XVII National Congress of Mechanics, vol. 17, (ISBN: 978-975-561-442-7), 2014, pp.256-262.

  8. E. Berberoğlu and S. Göktepe: "Computational Modeling of Myocardial Infarction", Proceedings of the IUTAM Symposium on Mechanics of Soft Active Materials, Procedia IUTAM, vol.12, 2015, pp.52-61.