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Thermal Effects of Laser-osteotomy on Bone: Mathematical Computation Using Maple.

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  • 1Department of Electrical and Computer Engineering, Isfahan University of Technology, Isfahan, Iran.

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Summary

This study used mathematical modeling to assess temperature changes and thermal stress in bone during laser osteotomy with an Erbium:YAG laser. Results indicate minimal thermal damage, supporting its use without irrigation.

Keywords:
Erbium:yttrium aluminum garnet laserMaple softwarelaser-osteotomy

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Area of Science:

  • Biomedical Engineering
  • Laser Surgery
  • Orthopedics

Background:

  • Laser applications in surgery are growing due to advantages like minimal invasiveness and reduced bleeding.
  • Erbium:YAG (Er:YAG) lasers are being explored for osteotomy procedures.
  • Understanding thermal effects is crucial for safe and effective laser bone surgery.

Purpose of the Study:

  • To evaluate temperature changes and thermal stress in cortical bone during Er:YAG laser osteotomy.
  • To compare mathematical computations with experimental findings.
  • To determine optimal laser parameters for minimizing thermal damage.

Main Methods:

  • Mathematical modeling of Er:YAG laser interaction with a 1mm bone slab using Maple software.
  • Simulation of 100 μs laser pulses at 2940 nm wavelength with 200 mJ and 400 mJ energies.
  • Solving time-dependent heat conduction equations to analyze temperature distribution and thermal stress.

Main Results:

  • Maximum temperature rise on the irradiated area was 0.8°C (200 mJ) and 1.6°C (400 mJ).
  • Thermal effects extended radially to 1.2 cm (200 mJ) and 1.5 cm (400 mJ).
  • Maximum thermal stresses (σ rr, σ zz, σ θθ) were calculated for both energy settings, remaining low.

Conclusions:

  • The use of 100 μs Er:YAG laser pulses with 500 μs silence at 200-400 mJ minimizes thermal damage in laser osteotomies.
  • These parameters allow for effective laser bone surgery without the need for continuous irrigation.
  • The study validates the safety and efficacy of specific Er:YAG laser settings for osteotomy.