Chapter 8
Theoretical Determination the Function
of Size Distribution for Blood Cells
Abstract The mathematical model proposed for detection the 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 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 case in
vivo, which may indicate the presence of pathogenesis.
8.1 Introduction
Regulation of erythrocytes’ volume plays an important role in the life of an organism,
and therefore the ratio of the surface area to the volume of these cells is an important
parameter in determining the rheological properties of blood [1]. This makes it very
important to develop methods that can effectively determine the globule distribution
functions by size. Note that the blood test is one of the main tools of modern medical
diagnostics. Erythrocytes (red blood cells) are blood’s main cells, where they perform
mainly transport and buffer functions. An important role in this process is played
by the state of the cells themselves-their size, shape, deformability [2]. A change in
the dispersion (width) of the distribution of cells size by 1% leads to an increase in
the risk of mortality by 14% for patients with cardiovascular diseases [3]. Measurement of erythrocyte deformability gives additional medical information, especially
important for the treatment of diseases such as sickle cell anemia, tropical malaria,
diabetes mellitus, strokes, etc., [4]. Normal human erythrocytes have the form of
a biconcave disk. Unlike most other cells, mammalian erythrocytes are devoid of
nuclei. In addition, in contrast to platelets, also lacking a nucleus, red blood cells
are more resistant to external influences [5], because their task is not activated in
response to changes in the environment’s composition, but to resistance to periodic
deformations during circulation. All this explains why red blood cells are a common
object of research. The development of methods for determining the properties of
matter, in particular, the determination of distribution functions by globule size by
scattering characteristics, is an important problem with which a number of biomedical, biophysical and geophysical problems are related. Cell volume is one of the
© Springer International Publishing AG, part of Springer Nature 2018
K. Kulikov and T. Koshlan, Laser Interaction with Heterogeneous
Biological Tissue, Biological and Medical Physics, Biomedical Engineering,
https://doi.org/10.1007/978-3-319-94114-1_8
145
Theoretical Determination the Function
of Size Distribution for Blood Cells
Abstract The mathematical model proposed for detection the 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 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 case in
vivo, which may indicate the presence of pathogenesis.
8.1 Introduction
Regulation of erythrocytes’ volume plays an important role in the life of an organism,
and therefore the ratio of the surface area to the volume of these cells is an important
parameter in determining the rheological properties of blood [1]. This makes it very
important to develop methods that can effectively determine the globule distribution
functions by size. Note that the blood test is one of the main tools of modern medical
diagnostics. Erythrocytes (red blood cells) are blood’s main cells, where they perform
mainly transport and buffer functions. An important role in this process is played
by the state of the cells themselves-their size, shape, deformability [2]. A change in
the dispersion (width) of the distribution of cells size by 1% leads to an increase in
the risk of mortality by 14% for patients with cardiovascular diseases [3]. Measurement of erythrocyte deformability gives additional medical information, especially
important for the treatment of diseases such as sickle cell anemia, tropical malaria,
diabetes mellitus, strokes, etc., [4]. Normal human erythrocytes have the form of
a biconcave disk. Unlike most other cells, mammalian erythrocytes are devoid of
nuclei. In addition, in contrast to platelets, also lacking a nucleus, red blood cells
are more resistant to external influences [5], because their task is not activated in
response to changes in the environment’s composition, but to resistance to periodic
deformations during circulation. All this explains why red blood cells are a common
object of research. The development of methods for determining the properties of
matter, in particular, the determination of distribution functions by globule size by
scattering characteristics, is an important problem with which a number of biomedical, biophysical and geophysical problems are related. Cell volume is one of the
© Springer International Publishing AG, part of Springer Nature 2018
K. Kulikov and T. Koshlan, Laser Interaction with Heterogeneous
Biological Tissue, Biological and Medical Physics, Biomedical Engineering,
https://doi.org/10.1007/978-3-319-94114-1_8
145