Laser Interaction with Heterogeneous Biological Tissue (eBook)

Kirill Kulikov is a full professor since 01.09.2014 at Peter the Great St.Petersburg Polytechnical University, Institute of Applied Mathematics and Mechanics, Department of Higher Mathematics. He works at Department of Higher Mathematics of the Peter the Great St.Petersburg Polytechnical University He received his Ph. D. in Physics and Mathematics «Mathematical Modeling of the Optical Properties of Multilayer Biological Systems and Structures in their Heterogeneous Conjugation» (2004). He has habilitation at the State Polytechnical University (Great St.Petersburg Polytechnical University) of St. Petersburg, Russia (Doctor Science in Physics and Mathematics). Doctor of Science thesis title «Analytical models of interaction of laser radiation with complex heterogeneous biological tissues» (2014). His research interests are theory diffraction, electrodynamics, physics of lasers, tissue optical methods of mathematical modeling in biological tissue optics and numerical method, biophysics.Tatiana Koshlan graduated from St. Petersburg State University, the department of Molecular Biophysics and Physics of Polymers. She is Master of Science in the  field  of biophysics. Now she is  a post-graduate student, the  department of Photonic, St. Petersburg State University. Her interdisciplinary research is in the field of biological and physical sciences. Her research is devoted to studying the interaction of biological molecules by physical methods, using mathematical tools to develop new technology and software with the ability to perform systematic measurements of various data sets of biological interactions.

Introduction 1 The main physical processes occurring in the interaction of optical radiation with matter

1.1 Introduction

1.2 Reflection and refraction

1.3 Absorption

1.4 Scattering

1.5 A Turbid media

References

2 Methods Describing the Interaction of Laser Radiation

with Biological Tissues

2.1 Introduction

2.2 The Structure and Optical Properties of Biological Tissues

2.3 The Structure and Optical Properties blood

References

Annotation. Here we consider the structure and optical properties of biological tissues, blood.

3 Overview of Theoretical Approaches to the Analysis

of Light Scattering

3.1 Introduction

3.2 Optical Properties of Tissues with Multiple Scattering

3.3 Stationary Theory of Radiative Transfer

3.4 Approximate Methods for Solving the Transport Equation

3.5 The Non-stationary Theory of Radiative Transfer 3.6 Methods for Measuring Optical Parameters of Biological Tissues

3.7 Methods for Solving Inverse Problems of Scattering Theory

3.8 Resume

References

Annotation. We propose methods of light scattering for the quantitative study

of the optical characteristics of the tissue, and the results of theoretical and

experimental studies of photon transport in biological tissues.

4 Study of optical Characteristics of Blood Formed Elements Using Intracavity Laser Spectroscopy

4.1 Introduction

4.2 Scattering by a particle with a shifted nucleus

4.3 The scattering cofficients

4.4 Scattering by a group of spherical objects

4.5 Numerical study of the Algebraic equations

4.6 Eigenmodes of the optical cavity with a cuvette filled with

spherical particles

4.7 Numerical analysis

4.8 Resume

References