Matematicheskoe modelirovanie
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Matem. Mod.:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Matematicheskoe modelirovanie, 2017, Volume 29, Number 3, Pages 51–62 (Mi mm3826)  

This article is cited in 1 scientific paper (total in 1 paper)

On inverse reconstruction problems of erythrocyte size distribution in laser diffractometry

V. D. Ustinovab

a Faculty of Computational Mathematics and Cybernetics of Lomonosov Moscow State University
b International laser Center of Lomonosov Moscow State University
Full-text PDF (722 kB) Citations (1)
References:
Abstract: In this paper, we have analyzed inverse problems of erythrocyte size distribution reconstruction when laser diffractometry data is given. We consider two geometrical models of erythrocyte — flat disk and biconcave disk. We have found that Tikhonov regularization technique allows one to reconstruct correct erythrocyte size distributions in cases of normal blood, microcytoses and macrocytoses when using a priori information about smoothness, finiteness and positivity of the solution. We also considered the case when the inverse problem is solved assuming the shape of the cells to be flat disks and the diffraction pattern is calculated according to biconcave disk model. In this case, first three statistical moments of the erythrocyte size distributions are obtained with error which is directly proportional to value of flexure in biconcave disk model. In addition, inversion of the corresponding integral equation leads to a solution, which has generally the same shape as the true distribution but is shifted along the horizontal axis. This allows one to calculate true solution by using a priori information about average value of erythrocyte size distribution.
Keywords: inverse problem, laser diffractometry, erythrocyte, 1st kind integral equation, Tikhonov regularization method.
Received: 22.03.2016
English version:
Mathematical Models and Computer Simulations, 2017, Volume 9, Issue 5, Pages 561–569
DOI: https://doi.org/10.1134/S2070048217050131
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. D. Ustinov, “On inverse reconstruction problems of erythrocyte size distribution in laser diffractometry”, Matem. Mod., 29:3 (2017), 51–62; Math. Models Comput. Simul., 9:5 (2017), 561–569
Citation in format AMSBIB
\Bibitem{Ust17}
\by V.~D.~Ustinov
\paper On inverse reconstruction problems of erythrocyte size distribution in laser diffractometry
\jour Matem. Mod.
\yr 2017
\vol 29
\issue 3
\pages 51--62
\mathnet{http://mi.mathnet.ru/mm3826}
\elib{https://elibrary.ru/item.asp?id=28922646}
\transl
\jour Math. Models Comput. Simul.
\yr 2017
\vol 9
\issue 5
\pages 561--569
\crossref{https://doi.org/10.1134/S2070048217050131}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85029762309}
Linking options:
  • https://www.mathnet.ru/eng/mm3826
  • https://www.mathnet.ru/eng/mm/v29/i3/p51
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математическое моделирование
    Statistics & downloads:
    Abstract page:259
    Full-text PDF :111
    References:43
    First page:10
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024