AN L-SYSTEM FOR MODELING OF UNIDIMENSIONALLY GROWING FLAT PLANT TISSUES

In this work, a mathematical model and its implementation are proposed for computational simulation of one-dimensional symplastic growth of tissues. We modified the formal grammar of differential L-systems, and in this grammar, we described a dynamic model of symplastic growth with regard to its bio...

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Main Authors: U. S. Zubairova, S. K. Golushko, A. V. Penenko, S. V. Nikolaev
Format: Article
Language:English
Published: Siberian Branch of the Russian Academy of Sciences, Federal Research Center Institute of Cytology and Genetics, The Vavilov Society of Geneticists and Breeders 2015-01-01
Series:Вавиловский журнал генетики и селекции
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Online Access:https://vavilov.elpub.ru/jour/article/view/325
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author U. S. Zubairova
S. K. Golushko
A. V. Penenko
S. V. Nikolaev
author_facet U. S. Zubairova
S. K. Golushko
A. V. Penenko
S. V. Nikolaev
author_sort U. S. Zubairova
collection DOAJ
description In this work, a mathematical model and its implementation are proposed for computational simulation of one-dimensional symplastic growth of tissues. We modified the formal grammar of differential L-systems, and in this grammar, we described a dynamic model of symplastic growth with regard to its biomechanics. The results of the simulation of linear leaf blade growth are compared with those for a free-growing cell population. It is shown that in the model proposed symplastic growth causes a greater deviation of the actual cell length from its isosmotic length than in freely growing cells.
format Article
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institution Kabale University
issn 2500-3259
language English
publishDate 2015-01-01
publisher Siberian Branch of the Russian Academy of Sciences, Federal Research Center Institute of Cytology and Genetics, The Vavilov Society of Geneticists and Breeders
record_format Article
series Вавиловский журнал генетики и селекции
spelling doaj-art-079fe9da23ae4c98a92949bcb06d9b582025-02-01T09:58:01ZengSiberian Branch of the Russian Academy of Sciences, Federal Research Center Institute of Cytology and Genetics, The Vavilov Society of Geneticists and BreedersВавиловский журнал генетики и селекции2500-32592015-01-01184/2945952308AN L-SYSTEM FOR MODELING OF UNIDIMENSIONALLY GROWING FLAT PLANT TISSUESU. S. Zubairova0S. K. Golushko1A. V. Penenko2S. V. Nikolaev3Institute of Cytology and Genetics SB RAS, Novosibirsk, RussiaDesign and Technology Institute of Digital Techniques SB RAS, Novosibirsk, RussiaInstitute of Computational Mathematics and Mathematical Geophysics SB RAS, Novosibirsk, RussiaInstitute of Cytology and Genetics SB RAS, Novosibirsk, RussiaIn this work, a mathematical model and its implementation are proposed for computational simulation of one-dimensional symplastic growth of tissues. We modified the formal grammar of differential L-systems, and in this grammar, we described a dynamic model of symplastic growth with regard to its biomechanics. The results of the simulation of linear leaf blade growth are compared with those for a free-growing cell population. It is shown that in the model proposed symplastic growth causes a greater deviation of the actual cell length from its isosmotic length than in freely growing cells.https://vavilov.elpub.ru/jour/article/view/325linear leafsymplastic growthdynamical systems with dynamic structuremathematical modell-systems
spellingShingle U. S. Zubairova
S. K. Golushko
A. V. Penenko
S. V. Nikolaev
AN L-SYSTEM FOR MODELING OF UNIDIMENSIONALLY GROWING FLAT PLANT TISSUES
Вавиловский журнал генетики и селекции
linear leaf
symplastic growth
dynamical systems with dynamic structure
mathematical model
l-systems
title AN L-SYSTEM FOR MODELING OF UNIDIMENSIONALLY GROWING FLAT PLANT TISSUES
title_full AN L-SYSTEM FOR MODELING OF UNIDIMENSIONALLY GROWING FLAT PLANT TISSUES
title_fullStr AN L-SYSTEM FOR MODELING OF UNIDIMENSIONALLY GROWING FLAT PLANT TISSUES
title_full_unstemmed AN L-SYSTEM FOR MODELING OF UNIDIMENSIONALLY GROWING FLAT PLANT TISSUES
title_short AN L-SYSTEM FOR MODELING OF UNIDIMENSIONALLY GROWING FLAT PLANT TISSUES
title_sort l system for modeling of unidimensionally growing flat plant tissues
topic linear leaf
symplastic growth
dynamical systems with dynamic structure
mathematical model
l-systems
url https://vavilov.elpub.ru/jour/article/view/325
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