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A one-dimensional mathematical model of laser induced thermal ablation of biological tissue

Abstract

A mathematical model of ablation of tissue by an incident laser beam is formulated in terms of a series of layers in which laser power is absorbed and water and tissue vaporized. Thermal energy is also deposited and removed by conduction. Time dependent mathematical equations are set up for these processes; they are solved numerically. The model assumes that absorption is dominant over scattering, so that it is possible to calculate the thickness of the vacuolated zone. The evolution of the ablating surface is found.

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Correspondence to J. M. Dowden.

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Whiting, P., Dowden, J.M., Kapadia, P.D. et al. A one-dimensional mathematical model of laser induced thermal ablation of biological tissue. Laser Med Sci 7, 357–368 (1992). https://doi.org/10.1007/BF02594073

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Key words

  • Laser surgery
  • Ablation
  • Mathematical model
  • Tissue