In Chap. 4, we discuss a mathematical model for calculating the interaction of
laser radiation with a turbid medium and a model for the prediction of the optical
characteristics of blood (refractive index and absorption coefficient) and for the
determination of the rate of blood flow in the capillary bed under irradiation of a
laser beam is proposed.
In Chap. 5, we construct an electrodynamic model, which makes it possible to
vary the electrophysical parameters of a biological structure in calculations with
allowance for roughness.
In Chap. 6, the mathematical model is proposed for predicting optical characteristics (refractive index and absorption coefficient) of a biotissue being simulated,
which is probed in vivo by a laser beam. Blood corpuscles, in this case, are
simulated by particles of irregular shape and various sizes, which are oriented
arbitrarily in free space.
In Chap. 7, the mathematical model is proposed for detection of the function of
size distribution of form for blood cells. Using the mathematical model, we can
theoretically calculate the size distribution function for particles of irregular shape
with a variety of forms and structures of inclusions that simulate blood cells in the
case of in vivo and determine the degree of aggregation, for example, the platelet
for the in vivo case.
In Chap. 8, we construct a mathematical model, which allows us to vary the
electrical parameters and structure of the simulated biological tissue with fibrillar
structure for in vivo case.
In Chap. 9, we expand a mathematic model for predicting the absorption
spectrum and dispersion of a section of a biological structure consisting of epidermis, upper layer of the derma, blood, and lower layer of the derma and placed in
the cavity of an optical resonator.
In Chap. 10, we discuss a mathematical model, which makes it possible to vary
the characteristic sizes of roughness, the electrophysical parameters of the biological sample under investigation, and its geometrical characteristics and to establish
the relations between these parameters and biological properties of the biological
tissue being modeled, as well as to calculate theoretically the absorption spectra of
optically thin biological samples placed into the cavity of an optical resonator.
In Chap. 11, we propose a mathematical model for calculation of the hyperthymia of a multilayer biological structure under the action of laser radiation.
In Chap. 12, the mathematical model is proposed for determination of the optical
parameters on the basis of spectrophotometric data and we consider general
structure models' interaction of laser radiation with a biotissue.
Before closing, we want to acknowledge our sincere thanks to colleague Prof.
A. P. Golovitskii for a critical reading of the manuscript. Our thanks are to Springer
Nature, in particular, Dr. Habil Claus E. Ascheron.
St. Petersburg, Russia
Kirill Kulikov
Tatiana Koshlan
Preface
vii
laser radiation with a turbid medium and a model for the prediction of the optical
characteristics of blood (refractive index and absorption coefficient) and for the
determination of the rate of blood flow in the capillary bed under irradiation of a
laser beam is proposed.
In Chap. 5, we construct an electrodynamic model, which makes it possible to
vary the electrophysical parameters of a biological structure in calculations with
allowance for roughness.
In Chap. 6, the mathematical model is proposed for predicting optical characteristics (refractive index and absorption coefficient) of a biotissue being simulated,
which is probed in vivo by a laser beam. Blood corpuscles, in this case, are
simulated by particles of irregular shape and various sizes, which are oriented
arbitrarily in free space.
In Chap. 7, the mathematical model is proposed for detection of the function of
size distribution of form for blood cells. Using the mathematical model, we can
theoretically calculate the size distribution function for particles of irregular shape
with a variety of forms and structures of inclusions that simulate blood cells in the
case of in vivo and determine the degree of aggregation, for example, the platelet
for the in vivo case.
In Chap. 8, we construct a mathematical model, which allows us to vary the
electrical parameters and structure of the simulated biological tissue with fibrillar
structure for in vivo case.
In Chap. 9, we expand a mathematic model for predicting the absorption
spectrum and dispersion of a section of a biological structure consisting of epidermis, upper layer of the derma, blood, and lower layer of the derma and placed in
the cavity of an optical resonator.
In Chap. 10, we discuss a mathematical model, which makes it possible to vary
the characteristic sizes of roughness, the electrophysical parameters of the biological sample under investigation, and its geometrical characteristics and to establish
the relations between these parameters and biological properties of the biological
tissue being modeled, as well as to calculate theoretically the absorption spectra of
optically thin biological samples placed into the cavity of an optical resonator.
In Chap. 11, we propose a mathematical model for calculation of the hyperthymia of a multilayer biological structure under the action of laser radiation.
In Chap. 12, the mathematical model is proposed for determination of the optical
parameters on the basis of spectrophotometric data and we consider general
structure models' interaction of laser radiation with a biotissue.
Before closing, we want to acknowledge our sincere thanks to colleague Prof.
A. P. Golovitskii for a critical reading of the manuscript. Our thanks are to Springer
Nature, in particular, Dr. Habil Claus E. Ascheron.
St. Petersburg, Russia
Kirill Kulikov
Tatiana Koshlan
Preface
vii