G. G. Lazareva, V. V. Mironova, N. A. Omelyanchuk, I. V. Shvab, V. A. Vshivkov, D. N. Gorpinchenko, S. N. Nikolaev, N. A. Kolchanov, “Mathematical modeling of vegetation morphogenesis”, Sib. Zh. Vychisl. Mat., 11:2 (2008), 151–166; Num. Anal. Appl., 1:2 (2008), 123

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Sibirskii Zhurnal Vychislitel'noi Matematiki

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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2008, Volume 11, Number 2, Pages 151–166 (Mi sjvm40)

This article is cited in 6 scientific papers (total in 6 papers)

Mathematical modeling of vegetation morphogenesis

G. G. Lazareva^a, V. V. Mironova^b, N. A. Omelyanchuk^b, I. V. Shvab, V. A. Vshivkov^a, D. N. Gorpinchenko^a, S. N. Nikolaev^b, N. A. Kolchanov^b

^a Institute of Computational Mathematics and Mathematical Geophysics (Computing Center), Siberian Branch of the Russian Academy of Sciences
^b Institute of cytology and genetics Siberian Branch of the Russian Academy of Sciences

Full-text PDF (525 kB) Citations (6)

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Abstract: The state-of-the-arts in biology needs the analysis of a bulk of experimental data. Mathematical modeling of biological processes is one of the ways to do it, with a purpose of revealing regularities, proving hypotheses and reasonable predictions. Evolution of organisms is especially attractive for mathematical modeling because it integrates a large number of different types of processes, whose state varies depending on time and location. In the present paper, the authors review the models of biological processes as related to plants evolution. The models have been classified and the approaches and mathematical techniques of modeling complicated problems are described.

Key words: morphogenesis, plants evolution, mathematical model, genetic regulation, cell division, model classification, review.

Received: 27.11.2006
Revised: 10.05.2007

English version:
Numerical Analysis and Applications, 2008, Volume 1, Issue 2, Pages 123–134
DOI: https://doi.org/10.1134/S1995423908020043

UDC: 519.6 573.2

Language: Russian

Citation: G. G. Lazareva, V. V. Mironova, N. A. Omelyanchuk, I. V. Shvab, V. A. Vshivkov, D. N. Gorpinchenko, S. N. Nikolaev, N. A. Kolchanov, “Mathematical modeling of vegetation morphogenesis”, Sib. Zh. Vychisl. Mat., 11:2 (2008), 151–166; Num. Anal. Appl., 1:2 (2008), 123–134

Citation in format AMSBIB

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\by G.~G.~Lazareva, V.~V.~Mironova, N.~A.~Omelyanchuk, I.~V.~Shvab, V.~A.~Vshivkov, D.~N.~Gorpinchenko, S.~N.~Nikolaev, N.~A.~Kolchanov

\paper Mathematical modeling of vegetation morphogenesis

\jour Sib. Zh. Vychisl. Mat.

\yr 2008

\vol 11

\issue 2

\pages 151--166

\mathnet{http://mi.mathnet.ru/sjvm40}

\transl

\jour Num. Anal. Appl.

\yr 2008

\vol 1

\issue 2

\pages 123--134

\crossref{https://doi.org/10.1134/S1995423908020043}

Linking options:

https://www.mathnet.ru/eng/sjvm40

https://www.mathnet.ru/eng/sjvm/v11/i2/p151

This publication is cited in the following 6 articles:

Elena A. Babushkina, Gleb A. Sitnikov, Keshav K. Upadhyay, Dina F. Zhirnova, Grigory K. Zelenov, Eugene A. Vaganov, Liliana V. Belokopytova, “Seasonal Growth of Pine Tree Rings: Comparison of Direct Observations and Simulation”, Forests, 13:12 (2022), 1978
A. A. Vitvitsky, “Cellular automata with a dynamic structure for simulating the biological tissues growth”, Num. Anal. Appl., 7:4 (2014), 263–273
Bartosik L., di Caprio D., Stafiej J., “Cellular Automata Approach to Corrosion and Passivity Phenomena”, Pure Appl. Chem., 85:1 (2013), 247–256
M. N. Nazarov, “O poiske universalnykh parametrov dlya modelei morfogeneza”, Vladikavk. matem. zhurn., 15:3 (2013), 58–66
Stafiej J., di Caprio D., Bartosik L., “Corrosion-Passivation Processes in a Cellular Automata Based Simulation Study”, J. Supercomput., 65:2 (2013), 697–709
di Capri D., Stafiej J., “The Role of Adsorption in Passivation Phenomena Modelled by Discrete Lattice Gas Automata”, Electrochim. Acta, 56:11 (2011), 3963–3968

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Sibirskii Zhurnal Vychislitel'noi Matematiki

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