© 2014

Laser Interaction with Biological Material

Mathematical Modeling


Part of the Biological and Medical Physics, Biomedical Engineering book series (BIOMEDICAL)

About this book


This book covers the principles of laser interaction with biological cells and tissues of varying degrees of organization. The problems of biomedical diagnostics are considered. Scattering of laser irradiation of blood cells is modeled for biological structures (dermis, epidermis, vascular plexus). An analytic theory is provided which is based on solving the wave equation for the electromagnetic field. It allows the accurate analysis of interference effects arising from the partial superposition of scattered waves. Treated topics of mathematical modeling are: optical characterization of biological tissue with large-scale and small-scale inhomogeneities in the layers, heating blood vessel under laser irradiation incident on the outer surface of the skin and thermo-chemical denaturation of biological structures at the example of human skin.


Absorption Spectrum Biological Tissue Biomedical Diagnostics Coefficient of Refraction Laser Emission Laser Radiation on Blood Cells Lasers on Biological Cells Modelling of Biological Tissue Theory of Interference Effects

Authors and affiliations

  1. 1.Higher MathematicsSt. Petersburg Polytechnical State UnivSt. PetersburgRussia

About the authors

Kirill Kulikov is an Associate Professor at St. Petersburg Polytechnical State University, Faculty of Physics and Mechanics, Department of Higher Mathematics. He got his Ph. D. in Physics and Mathematics from St. Petersburg  Polytechnical State University. His research interests are the theory diffraction, electrodynamics, physics of Lasers, tissue optical methods of mathematical modeling in biological tissue optics and numerical methods.

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From the book reviews:

“This is simply one of the best, ever books on applications in Surgery and Medicine of Lasers. … This is well worth the effort for those using the laser including graduate students, mathematicians, bioengineers, and physicians with a strong interest in the theories of Optics. I recommend this book both for novices with a good math background and to experienced researchers.” (Joseph Grenier,, February, 2015)