Numerical Simulation of the Temperature Propagation in Superposed Biological Media, with Applications in Dental Treatment

  • V. MureşanEmail author
  • N. M. Roman
  • T. Coloşi
  • M. Abrudean
  • O. P. Stan
  • O. Bunta
Conference paper
Part of the IFMBE Proceedings book series (IFMBE, volume 71)


In this paper, an example of numerical simulation of the temperature propagation in five biological media is presented. For the five spaces, successively disposed, respectively: tissue (A), tooth (B), steel (C), tooth (D) and again tissue (E), the structure parameters, respectively the time constants (T1; T2) and the space constants (S1; S2) are obtained using the dedicated program CTISP01(02) which implements equations which are presented in the paper. It is of great interest the temperature propagation in time and space, both in the interior of these spaces and at the separation limits between them. The dedicated program ZPROP03(04), that assures much flexibility and a large diversification for the similar studied applications was elaborated on the purpose of simulating the mathematical model of the propagation process, proposed in the paper. Direct applications of the presented simulations can be used in dental treatment domain.


Thermal propagation in biological media Analogical modeling partial differential equation (PDE) Numerical simulation Structure parameters 


Conflict of Interest

The authors declare that they have no conflict of interest.


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Copyright information

© Springer Nature Singapore Pte Ltd. 2019

Authors and Affiliations

  • V. Mureşan
    • 1
    Email author
  • N. M. Roman
    • 2
  • T. Coloşi
    • 1
  • M. Abrudean
    • 1
  • O. P. Stan
    • 1
  • O. Bunta
    • 3
  1. 1.Automation DepartmentTechnical University of Cluj-NapocaCluj-NapocaRomania
  2. 2.Electrotechnics and Measurements DepartmentTechnical University of Cluj-NapocaCluj-NapocaRomania
  3. 3.Orthodontics DepartmentIuliu Hatieganu University of Medicine and PharmacyCluj-NapocaRomania

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