Journal Articles
→  C. H. Bloodworth, E. L. Pierce, T. F. Easley, A. Drach, A. H. Khalighi, M. Toma, M. . Jensen, M. S. Sacks, A. P. Yoganathan, "Ex Vivo Methods for Informing and Validating Computational Models of the Mitral Valve", Accepted in the Annals of Biomedical Engineering, 2016
→  M. Toma, C. H. Bloodworth, E. L. Pierce, D. R. Einstein, R. P. Cochran, A. P. Yoganathan, K. S. Kunzelman, "Fluid-Structure Interaction Analysis of Ruptured Mitral Chordae Tendineae", Annals of Biomedical Engineering, 2016 [Online ahead of print], doi: 10.1007/s10439-016-1727-y
→  M. Toma, D. R. Einstein, C. H. Bloodworth, R. P. Cochran, A. P. Yoganathan, K. S. Kunzelman, "Fluid-Structure Interaction and Structural Analyses using a Comprehensive Mitral Valve Model with 3D Chordal Structure", International Journal for Numerical Methods in Biomedical Engineering, 2016 [Online ahead of print], doi: 10.1002/cnm.2815
→  M. Toma, M. Oshima and S. Takagi, "Decomposition and parallelization of strongly coupled fluid-structure interaction linear subsystems based on the Q1/P0 discretization", Journal of Computers & Structures, 2016, Volume 173, pp. 84-94, doi: 10.1016/j.compstruc.2016.06.001
→  M. Toma, C. H. Bloodworth, D. R. Einstein, E. L. Pierce, R. P. Cochran, A. P. Yoganathan, K. S. Kunzelman, "High Resolution Subject-Specific Mitral Valve Imaging and Modeling: Experimental and Computational Methods", Journal of Biomechanics and Modelling in Mechanobiology, 2016, Volume 15, Issue 6, pp 16191630, doi: 10.1007/s10237-016-0786-1
→  M. Toma, M. . Jensen, D. R. Einstein, A. P. Yoganathan, R. P. Cochran, K. S. Kunzelman, "Fluid-Structure Interaction Analysis of Papillary Muscle Forces Using a Comprehensive Mitral Valve Model with 3D Chordal Structure", Annals of Biomedical Engineering, April 2016, Volume 44, Issue 4, pp 942-953, doi: 10.1007/s10439-015-1385-5
→  F. Bisetti, S. M. Sarathy, M. Toma, S. H. Chung, "Stabilization and structure of n-heptane tribrachial flames in axisymmetric laminar jets", Proceedings of the Combustion Institute, June 2014, volume 35, issue 1. doi: 10.1016/j.proci.2014.06.077
→  M. Toma, A. Krdey, S. Takagi and M. Oshima: Strongly Coupled Fluid-Structure Interaction Cardiovascular Analysis with the Effect of Peripheral Network, SEISAN KENKYU, 2011, volume 64, issue 3, pp. 339 - 344 [6 pages]. doi: 10.11188/seisankenkyu.63.339 [PDF, 3.3 MB]
→  M. Toma, F. E. A. Njilie, M. Ghajari, U. Galvanetto: Assessing motorcycle crash-related head injuries using finite element simulations, International Journal of Simulation Modelling, 2010, volume 9, issue 3, pp. 143 151 [9 pages]. doi: 10.2507/ijsimm09(3)3.164
→  J. A. Teixeira de Freitas, I. D. Moldovan, M. Toma: Mixed and Hybrid Stress Elements for Biphasic Media, International Journal Computers & Structures, 2010, Volume 88, Issues 23-24, pp. 1286 1299 [14 pages]. doi: 10.1016/j.compstruc.2009.01.015
→  J. A. Teixeira de Freitas and M. Toma: Hybrid-Trefftz stress elements for incompressible biphasic media, International Journal for Numerical Methods in Engineering, 2009, volume 79, issue 2, pp. 205 238 [34 pages]. doi:10.1002/nme.2560
→  J. A. Teixeira de Freitas and M. Toma: Hybrid-Trefftz stress and displacement elements for axisymmetric incompressible biphasic media, International Journal for Computer Methods in Applied Mechanics and Engineering, 2009, volume 198, issues 30-32, pp. 2368 2390 [23 pages]. doi:10.1016/j.cma.2009.02.023
→  V. Kompiš, M. Toma, M. Žmindák, M. Handrik: Use of Trefftz functions in non-linear BEM/FEM, International Journal Computers & Structures, 2004, volume 82, issue 27, pp. 2351 - 2360 [10 pages]. doi:10.1016/j.compstruc.2004.04.006

Conference Proceedings:
→  M. Toma, D.R. Einstein, A.P. Yoganathan, R.P. Cochran, K.S. Kunzelman, "Role of Detailed Chordal Structure in Mitral Valve Fluid-Structure Interaction Simulations", 4th International Conference on Computational and Mathematical Biomedical Engineering (CMBE2015), France, June - July 2015.
→  M. Toma, M.O. Jensen, D.R. Einstein, A.P. Yoganathan, R.P. Cochran, K.S. Kunzelman, "Fluid-Structure Interaction Analysis of Mitral Valve Forces Using a Comprehensive Model With 3D Chordal Structure: Synergy of Modeling and Experiments", SB3C Summer Biomechanics, Bioengineering and Biotransport Conference, Utah, USA, June 2015.
→  M. Toma, M.O. Jensen, D.R. Einstein, A.P. Yoganathan, R.P. Cochran, K.S. Kunzelman, "Validating Fluid Structure Interaction in Medical Device Design with Force Measurements", BMES Frontiers in Medical Devices Conference: Innovations in Modeling and Simulation", Washington DC, USA, May 2015.
→  M. Toma, D.R. Einstein, A.P. Yoganathan, R.P. Cochran, K.S. Kunzelman, "Fluid-Structure Interaction Analysis Utilising a Comprehensive Mitral Valve Model", 11th World Congress on Computational Mechanics (WCCM XI), Barcelona, Spain, July 2014.
→  M. Toma, F. Bisetti, S. M. Sarathy, S. K. Choi, S. Al-Noman, S. H. Chung: Numerical simulation of lifted tribrachial n-heptane laminar flames in heated coflow, In proceeding of: European Combustion Meeting 2013, At Sweden, June 25-28, 2013. [PDF, 0.7 MB]
→  P. Talaia, M. Toma, M. Hajman, L. Hynčk, F. Njilie: A pedestrian model for accident simulation from the crash until full stop, ISB2009, XXII Congress of the International Society of Biomechanics, page 298, Cape Town, South Africa, July 5-9, 2009.
→  M. Toma, J. A. Teixeira de Freitas: Hybrid-Trefftz stress and displacement elements for transient analysis of incompressible saturated porous media, in Proc. of the Leuven Symposium on Applied Mechanics in Engineering, The Trefftz workshop, Leuven, Belgium, March 31 - April 2, 2008. [link]
→  J. A. Teixeira de Freitas, I. D. Moldovan, M. Toma: Mixed and hybrid stress elements for biphasic media, in Proc. of the Fifteenth UK Conference of the Association of Computational Mechanics in Engineering, B.H.V. Topping (Editor), Civil-Comp Press, paper 4, Stirlingshire, Scotland, 2007.
→  J. A. Teixeira de Freitas, I. D. Moldovan, M. Toma: Trefftz spectral analysis of biphasic media, in Proc. of the Sixth World Congress on Computational Mechanics in conjunction with the Second Asian-Pacific Congress on Computational Mechanics, Beijing, China, September 5-10, 2004, pp. 678-683.
→  M. Toma, V. Kompiš: Use of Trefftz functions in modelling of point and line contact, in Proc. of the Second MIT Conference on Fluid and Solid Mechanics, June 17-20, 2003, Ed. K.-J. Bathe, Elsevier, Boston, 2003, pp. 690-692. doi:10.1016/B978-008044046-0.50170-6
→  V. Kompiš, M. Toma: Reciprocity based Trefftz solutions for non-linear problems, in Proc. of 3rd International Workshop on Trefftz Method, Exeter, UK, September 16-18, 2002.

Theses:
→  Toma, M. (2007). Modelling of hydrated soft tissues using hybrid-Trefftz finite elements. Lisbon, Portugal [Ph.D. thesis]: Technical University of Lisbon, Instituto Superior Tcnico, 228 p. [PDF, 9.5 MB]
→  Toma, M. (2002). Solving of non-linear problems using Trefftz functions (In Slovak). Žilina, Slovakia [M.Sc. thesis]: University of Žilina, Faculty of Mechanical Engineering, 67 p.