Ing. Petr Marcián, Ph.D.
E-mail:   marcian@fme.vutbr.cz  WWW:   http://biomechanika.fme.vutbr.cz/ Dept.:   Institute of Solid Mechanics, Mechatronics and Biomechanics Dept. of Biomechanics Position:   Assistant Professor Room:   A2/705

Supervised courses:

• Biomechanics I - Introduction (RBA)

Publications:

• MARCIÁN, P.; NARRA, N.; BORÁK, L.; CHAMRAD, J.; WOLFF, J.:
  Biomechanical performance of cranial implants with different thicknesses and material properties: A finite element study
  journal article in Web of Science
• ŠEVEČEK, O.; BERTOLLA, L.; CHLUP, Z.; ŘEHOŘEK, L.; MAJER, Z.; MARCIÁN, P.; KOTOUL, M.:
  Modelling of cracking of the ceramic foam specimen with a central notch under the tensile load, Elsevier
  journal article in Web of Science
• MARCIÁN, P.; WOLFF, J.; HORÁČKOVÁ, L.; KAISER, J.; ZIKMUND, T.; BORÁK, L.:
  Micro finite element analysis of dental implants under different loading conditions
  journal article in Web of Science
• RIDWAN-PRAMANA, A.; MARCIÁN, P.; BORÁK, L.; NARRA, N.; FOROUZANFAR, T.; WOLFF, J.:
  Finite element analysis of 6 large PMMA skull reconstructions: A multi-criteria evaluation approach, PLOS
  journal article in Web of Science
• KOTOUL, M.; SKALKA, P.; ŠEVEČEK, O.; BERTOLLA, L.; MERTENS, J.;MARCIÁN, P.; CHAWLA, N.:
  Crack bridging modelling in Bioglass ®based scaffolds reinforced by poly-vinyl alcohol/microfibrillated cellulose composite coating, Elsevier
  journal article in Web of Science
• MARCIÁN, P.; FLORIAN, Z.; HORÁČKOVÁ, L.; KAISER, J.; BORÁK, L.:
  Microstructural Finite-Element Analysis of Influence of Bone Density and Histomorphometric Parameters on Mechanical Behavior of Mandibular Cancellous Bone Structure ,
  Materials Structure & Micromechanics of Fracture VIII, pp.362-365, ISBN 978-3-03835-626-4, (2017), Trans Tech Publications Ltd
  conference paper
  akce: Materials Structure & Micromechanics of Fracture (MSMF-8), Brno, 26.06.2016-29.06.2016
• MARCIÁN, P.; BORÁK, L.; VALÁŠEK, J.; KAISER, J.; FLORIAN, Z.; WOLFF, J.:
  Finite Element Analysis of Dental Implant Loading on Atrophic and Non-atrophic Cancellous and Cortical Mandibular Bone - a Feasibility Study, ELSEVIER SCI LTD
  journal article in Web of Science
• BORÁK, L.; MARCIÁN, P.:
  Beams on Elastic Foundation Using Modified Bettis Theorem, ELSEVIER
  journal article in Web of Science
• HUOTILAINEN, E.; JAANIMETS, R.; VALÁŠEK, J.; MARCIÁN, P.; SALMI, M.; TUOMI, J.; MÄKITIE, A.; WOLFF, J.:
  Inaccuracies in Additive Manufactured Medical Skull Models Caused by the DICOM to STL Conversion Process, CHURCHILL LIVINGSTONE
  journal article in Web of Science
• NARRA, N.; VALÁŠEK, J.; HANNULA, M.; MARCIÁN, P.; SÁNDOR, G.; HYTTINEN, J.; WOLFF, J.:
  Finite element analysis of customized reconstruction plates for mandibular continuity defect therapy, ELSEVIER SCI LTD
  journal article in Web of Science
• FUJIKI, K.; AOKI, K.; MARCIÁN, P.; BORÁK, L.; HUDIEB, M.; OHYA, K.; IGARASHI, Y.; WAKABAYASHI, N.:
  The influence of mechanical stimulation on osteoclast localization in the mouse maxilla: bone histomorphometry and finite element analysis,
  Biomechanics and Modeling in Mechanobiology, Vol.12, (2013), No.2, pp.325-333, ISSN 1617-7959, Springer
  journal article - other
• MARCIÁN, P.; MAJER, Z.; DLOUHÝ, I.; FLORIAN, Z.:
  Estimation of Local Mechanical Properties of Highly Porous Ceramic Materials,
  Chemické listy, Vol.106, (2012), No.1, pp.476-477, ISSN 0009-2770
  journal article - other

List of publications at Portal BUT

Abstracts of most important papers:

• MARCIÁN, P.; BORÁK, L.; VALÁŠEK, J.; KAISER, J.; FLORIAN, Z.; WOLFF, J.:
  Finite Element Analysis of Dental Implant Loading on Atrophic and Non-atrophic Cancellous and Cortical Mandibular Bone - a Feasibility Study, ELSEVIER SCI LTD
  journal article in Web of Science
  The first aim of this study is to assess displacements and micro-strain induced on different grades of atrophic cortical and trabecular mandibular bone by axially loaded dental implants using finite element analysis (FEA). The second aim was to assess the micro-strain induced by different implant geometries and the levels of bone-to-implant contact (BIC) on the surrounding bone. Six mandibular bone segments demonstrating different grades of mandibular bone atrophy and various bone volume fractions (from 0.149 to 0.471) were imaged using a micro-CT device. The acquired bone STL models and implant (Brånemark, Straumann, and Ankylos) were merged into a three-dimensional finite elements structure. The mean displacement value for all implants was 3.1 um. Displacements were lower in the group with a strong BIC. The results indicated that the maximum strain values of cortical and cancellous bone increased with lower bone density. Strain distribution is the first and foremost dependent on the shape of bone and architecture of cancellous bone. The geometry of the implant, thread patterns, grade of bone atrophy and BIC all affect the displacement and micro-strain on the mandible bone. Preoperative finite element analysis could offer improved predictability in the long-term outlook of dental implant restorations.
• BORÁK, L.; MARCIÁN, P.:
  Beams on Elastic Foundation Using Modified Bettis Theorem, ELSEVIER
  journal article in Web of Science
  In this paper, the restricted form of the principle of quasi work – the so-called modified Bettis Theorem – is used for developing an alternative analytical solution of beams on an elastic foundation. A brief review of this principle is provided along with the reminder of the classical Winklers model. A methodology is based on the calculation of the deflection of beam on an elastic foundation from the deflection of a reference beam which is topologically equivalent. Fundamental formulae for the reference beam on an elastic foundation are derived and thoroughly discussed. Applying the modified Bettis theorem, these formulae can be used for analysis of any arbitrary topologically equivalent beam on an elastic foundation. The applicability of this methodology is proved and a detailed guidance for its use is provided as well. The methodology is illustrated by three representative examples. The beam on an elastic foundation is a structure which is often used in many areas of technical practice including civil engineering, aerospace engineering etc; thus, the presented alternative way of its analytical solution might be found helpful, mainly for quick calculation and for its simple algorithmization.
• WOLFF, J.; NARRA, N.; ANTALAINEN, A.; VALÁŠEK, J.; KAISER, J.; SÁNDOR, G.; MARCIÁN, P.:
  Finite element analysis of bone loss around failing implants, ELSEVIER SCI LTD
  journal article in Web of Science
  Dental implants induce diverse forces on their surrounding bone. However, when excessive unphysiological forces are applied, resorption of the neighbouring bone may occur. The aim of this study was to assess possible causes of bone loss around failing dental implants using finite element analysis. A further aim was to assess the implications of progressive bone loss on the strains induced by dental implants. Between 2003 and 2009 a total of 3700 implant operations were performed in a private clinic. Ten patients had 16 fixtures which developed severe marginal bone defects. Finite element analysis was used to assess the effective strains produced at the bone-implant interface under unidirectional axial loading. These simulations were carried out on 4 specific implant types – Camlog Plus, Astra Osseo Speed, Straumann BL and Straumann S/SP. All implant types displayed degraded performance under circular and horizontal bone loss conditions. This is evidenced by increased distribution of pathological strain intensities (>3000 micro-strain), in accordance with the mechanostat hypothesis, in the surrounding bone. Among the implants, the Camlog design seemed to have performed poorly, especially at the chamfer in the implant collar (>25000 micro-strain).Implants are designed to perform under nearly ideal conditions from insertion till osseointegration. However, when the surrounding bone undergoes remodelling, implant geometries can have varied performance, which in some cases can exacerbate bone loss. The results of this study indicate the importance of evaluating implant geometries under clinically observed conditions of progressive bone loss.
• HUOTILAINEN, E.; JAANIMETS, R.; VALÁŠEK, J.; MARCIÁN, P.; SALMI, M.; TUOMI, J.; MÄKITIE, A.; WOLFF, J.:
  Inaccuracies in Additive Manufactured Medical Skull Models Caused by the DICOM to STL Conversion Process, CHURCHILL LIVINGSTONE
  journal article in Web of Science
  The process of fabricating physical medical skull models requires many steps, each of which is a potential source of geometric error. The aim of this study was to demonstrate inaccuracies and differences caused by DICOM to STL conversion in additively manufactured medical skull models.
• NARRA, N.; VALÁŠEK, J.; HANNULA, M.; MARCIÁN, P.; SÁNDOR, G.; HYTTINEN, J.; WOLFF, J.:
  Finite element analysis of customized reconstruction plates for mandibular continuity defect therapy, ELSEVIER SCI LTD
  journal article in Web of Science
  Large mandibular continuity defects pose a significant challenge in oral maxillofacial surgery. One solution to this problem is to use computer-guided surgical planning and additive manufacturing technology to produce patient-specific reconstruction plates. However, when designing customised plates, it is important to assess potential biomechanical responses that may vary substantially depending on the size and geometry of the defect. The aim of this study was to assess the design of two customized plates using finite element method (FEM). These plates were designed for the reconstruction of the lower left mandibles of two ameloblastoma cases (patient1/plate1 and patient2/plate2) with large bone resections differing in both geometry and size. Simulations revealed maximum von Mises stresses of 63 MPa and 108 MPa in plates 1 and 2, and 65 MPa and 190 MPa in the fixation screws of patients 1 and 2. The von Mises strain induced in the bone at the screw-bone interface reached maximum values of 2739 micro-strain for patient 1 and 19575 micro-strain for patient 2. The results demonstrate the influence of design on the stresses induced in the plate and screw bodies. Of particular note, however, are the differences in the induced strains. Unphysiologically high strains in bone adjacent to screws can cause micro-damage leading to bone resorption. This can adversely affect the anchoring capabilities of the screws. Thus, while custom plates offer optimal anatomical fit, attention should be paid to the expected Physiological forces on the plates and the induced stresses and strains in the plate-screw-bone assembly.