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Modeling of critical periods of development of Loach Misgurnus fossilis on kinetics of changes in redox potential medium incubation based on the proportions of Kirkwood

Keywords:

V.I. Kuzmin – Dr. Sc. (Eng.) Professor, Department of Applied Mathematics, Moscow Technological University
E-mail: vik271935@yandex.ru
A.F. Gadzaov – Ph. D. (Eng.), Associate Professor, Department of Applied Mathematics, Moscow Technological University
E-mail: gadzaov_alex@yandex.ru
A.B. Burlakov – Dr. Sc. (Biol.), Professor, Leading Research Scientist, Department of ichthyology, Bio-logical Faculty, Moscow Lomonosov State University
E-mail: burlakovao@mail.ru
D.L. Tytik – Dr.Sc. (Phys.-Math.), Leading Research Scientist, Laboratory of Physicochemistry, Colloidal Systems of Frumkin Inst RAS
Е-mail: dtytik@yandex.ru
V.E. Kasatkin – Ph. D. (Chem.), Senior Research Scientist, Head of a Department of the Instruments for Anticorrosion Protection Monitoring of Frumkin Inst RAS
Е-mail: vadim_kasatkin@mail.ru
S.A. Busev – Ph. D. (Chem.), Senior research Scientist, Laboratory of Chromatography Basics and Mass Spectrometry of Frumkin Inst RAS
Е-mail: sergeybusev@mail.ru


One of the most important characteristics of the embryonic development of organisms, particularly fish, is the duration of one mitotic cycle, the period of synchronous cleavage divisions (τ0). Having such an internal rhythm in the developing em-bryo, it is natural to expect the manifestation of a number of other rhythmic processes connected, for example, with the metabolic processes individual for each stage of development. These processes can be investigated, because the processes, occurring within the developing organism at different stages are closely related with the changing of physicochemical properties of the incubation environment, for example, by measuring its oxidation-reduction potential (ORP).
An analysis of the kinetic curve of the ORP change in the water environment during the development of the loach embryos population at a temperature of 17°C has been carried out. It is shown that the ORP of the incubation medium changes significantly during embryo development. The ORP determined by the oxidation-reduction equilibrium at an inert electrode and depends on the integral presence of the oxidants and reducing agents in the incubation environment of the embryos. The most likely oxidizer in the system is dissolved oxygen, and the reductants can be the products of the developing embryos metabolism. During the process of incubation, oxygen enters the system and is consumed by developing embryos, which are in turn release metabolic products into the medium. Naturally, the balance between oxidizers and reducing agents will change continuously, which is probably reflected in the ORP kinetics changes.
To process the kinetic of ORP curve, the Kirkwood ratio used to describe a wide class of nonlinear natural periodic processes was applied. On its basis, a model for determining critical development periods is obtained as a regular sequence formed by two geometric progressions (with different denominators), whose synchronization determines the positions of dominant periods (the beginning of gastrulation, the formation of the embryonic ring, hatching, and the end of embryonic development).
It was revealed that the geometric progression of the moments when the critical development periods comes during syn-chronization with mitotic cycles determines the positions of the lines having an elevated rank of significance. It is shown that the sequence of critical boundaries (critical periods of development) is represented by the following values: 3.16τ0, 8.6τ0, 23.4τ0, 63.5τ0, 173.5τ0, 470τ0. These values, like their half, are well manifested in the kinetic of the incubation me-dium ORP changes up to 130τ0. The other times can be used, possibly, as predictive assessments of the critical period boundaries in the development of the loach Misgurnus fossilis.
The presented model is able to determine the critical periods of development. It functions as a regular sequence formed by two geometric progressions (with different denominators), the synchronization of which determines the moments of the dominant critical periods of the loach Misgurnus fossilis embryo development (the beginning of the gastrula, the formation of the embryonic ring, hatching, and the end of embryonic development). The Kirkwood proportion is the basis of these re-sults, which in general defines the relationship between structural elements and the integral characteristics of developing systems.

References:
  1. Sokolova K.B. K istorii sozdaniya teorii kriticheskix periodov razvitiya: K.Be'r i P.G.Svetlov // Voprosy' istoriya estestvoznaniya i texniki. 1992. № 4. S. 80–85.
  2. Svetlov P.G. Teoriya kriticheskix periodov razvitiya i ee znachenie dlya ponimaniya princzipov dejstviya sredy' na ontogenez / V sb.: Voprosy' czitologii i obshhej fiziologii. L.: Nauka. 1960. S. 253–285.
  3. Posobie k bol'shomu praktikumu po e'mbriologii. Ch. 1. / Pod red. L.V. Belousova, N.V. Dabagyana, M.Z. Chunaevoj. M.: Izd-vo Moskovskogo un-ta. 1990. 105 s.
  4. Burlakov A.B., Burlakova O.V., Golichenkov V.A. Rol' sverxslaby'x bioizluchenij v razvitii nizshix pozvonochny'x // V kollektivnoj monografii «Sovremenny'e problemy' fiziki, biofiziki i informaczionny'x texnologij». Krasnodar: Krasnodarskij CNTI. 2010. 281 s.
  5. 5 Burlakov A.B., Burlakova O.V., Golichenkov V.A., Korolev Ju.N. 2014. Rol' obolochek zarody'shej amfibij v adaptaczii organizma k vneshnim vozdejstviyam // Slozhny'e sistemy'. № 3. S. 32–47.
  6. Gillespie L.J. Reduction potentials of bacterial cultures and of water logged soils // Soil Science. 1920. V. 9. P. 199–216.
  7. Kasozi D., Mohring F., Rahlfs S., Meyer A. J., Becker K. Real-Time Imaging of the Intracellular Glutathione Redox Potential in the Malaria Parasite Plasmodium falciparum // PLoS Pathogens. 2013. V. 9. № 12. P. 1–18.
  8. Teasdale P. R., Minett A. I., Dixon K., Lewis T. W., Batley G. E. Practical improvements for redox potential (EH) measurements and the application of a multiple-electrode redox probe (MERP) for characterising sediment in situ // Analytica Chimica Acta. 1998. V. 367. № 1–3. P. 201–213.
  9. Reichart O., Szakmár K., Jozwiak Á., Felföldi J., Baranyai L. Redox potential measurement as a rapid method for microbiological testing and its validation for coliform determination // International Journal of Food Microbiology. 2007. V. 114. № 2. P. 143–148.
  10. Taniguchi S. The significance of arterial redox potential measurement by Vincent's method in evaluating the hemorrhagic shock state of rabbits // Masui. 1993. V. 42. № 3. P. 387–393.
  11. Kalyanaraman B., Cheng G.,Hardy M., Ouari O., Bennett B., Zielonka J. Teaching the basics of reactive oxygen species and their relevance to cancer biology: Mitochondrial reactive oxygen species detection, redox signaling, and targeted therapies // Redox Biol. 15. 2018. P. 347–362.
  12. Burlakov A.B., Kuz'min V.I., Gadzaov A.F., Ty'tik D.L., Kasatkin V.E'. Okislitel'no-vosstanovitel'ny'j potenczial vodnoj sredy' kak indikator stadij razvitiya e'mbrionov v'yuna / Voprosy' obrazovaniya i nauki. Sb. nauchny'x trudov po materialam mezhdunar. nauch.-prakt. Konf. 31 maya 2016 g. Chast' 1. Ucom. Tambov. 2016. S. 23–25.
  13. Burlakov A.B., Kuz'min V.I., Gadzaov A.F., Ty'tik D.L., Kasatkin V.E'., Slepczova L.A. Kinetika okislitel'no-vosstanovitel'nogo potencziala sredy' inkubaczii v period rannego razvitiya v'yuna Misgurnus fossilis // Ontogenez. 2017. T. 48. № 1. S. 28–38.
  14. Kuz'min V.I., Ty'tik D.L., Gadzaov A.F., Abaturov M.A., Belashhenko D.K., Busev S.A., Kasatkin V.E'., Smolin A.V., Cetlin V.V. Diskretnost' i neprery'vnost' v svojstvax fiziko-ximicheskix sistem / Pod obshh. red. V.I.Kuz'mina, D.L. Ty'tika, A.F. Gadzaova. M.: Nauka. Fizmatlit. 2014. 176 s.
  15. Kuz'min V.I., Gadzaov A.F. Matematicheskie metody' analiza periodicheskix komponent nelinejny'x proczessov i prognozirovaniya dinamiki ogranichennogo rosta na ix osnove // Vestnik MGTU MIRE'A. 2015. T. 2. № 4(9). S. 94.
  16. Detlaf T.A., Detlaf A.A. Bezrazmerny'e kriterii kak metod kolichestvennoj xarakteristiki razvitiya zhivotny'x // V sb.: Matematicheskaya biologiya razvitiya. M.: Nauka. 1982. S. 25 – 39
  17. Medawar P. Size, shape, and age // In: Essays on Growth and Form: Presented to D'Arcy Wentworth Thompson (ed. W. Le Gros Clark and P. Medawar). Oxford: Clarendon Press. 1945. P. 157–187.
  18. Matveev N.M. Metody' integrirovaniya oby'knovenny'x differenczial'ny'x uravnenij. M.: Vy'sshaya shkola. 1967. 565 s.
  19. N'eto M. Zakon Ticziusa-Bode. Istoriya i teoriya. M.: Mir. 1976. 192 c.
  20. Migdal A.B. Kachestvenny'e metody' v kvantovoj teorii. M.: Nauka. 1975. 336 s.
  21. Shmal'gauzen I.I. Izbranny'e trudy' v 2-x t. Kiev: Naukova dumka. 1984.
  22. Zhirmunsky A.V., Kuzmin V.I. Critical levels in the development of natural systems. Berlin etc. Spinger. 1988. 170 p.
May 29, 2020

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