Mathematical modeling of plant morphogenesis

Lazareva, G. G.; Миронова, В. В.; Omelyanchuk, N. A.; Shvab, I.; Вшивков, В. А.; Gorpinchenko, D. N.; Николаев, С. В.; Kolchanov, Nikolay А.

doi:10.1134/s1995423908020043

Cited by 4 publications

(3 citation statements)

References 28 publications

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“…Invented by John von Neumann, the father of the first computers, and the mathematician S. Ułam [12,13], cellular automata have been successfully applied in a wide range of fields: biology [14][15][16], traffic jams [17,18], fire spreading [19], lava eruption [20], urban development [21], and a variety of growth problems [22]. Their application to corrosion problems also has a fairly long history [23,24].…”

Section: Introductionmentioning

confidence: 99%

Cellular automata approach to corrosion and passivity phenomena

Bartosik

Caprio

Stafiej

2012

Pure and Applied Chemistry

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Our research on employing the cellular automata methodology to corrosion and passivation phenomena is reviewed. Examples of a peculiar pit development are found and presented. The diffusion rate in the corroding medium is argued and shown in the simulation results to affect mainly the characteristic length scale for the corrosion process. New data for the pitting corrosion development on a planar interface are presented and discussed.

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Section: Introductionmentioning

confidence: 99%

Cellular automata approach to corrosion and passivity phenomena

Bartosik

Caprio

Stafiej

2012

Pure and Applied Chemistry

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“…Modeling is an effective tool for analyzing plant growth and development processes, which helps overcome the costs and commitment required from individuals and organizations in long-term forest monitoring [1][2][3][4]. It is notably useful in comprehending the complex reactions of temporal and spatial patterns in forest structure and function to a changing environment, but experimental verification of model algorithms is often limited or extremely difficult [5,6]. The developed models of the seasonal growth of xylem face limitations from the short duration of direct observations and/or the complexity of measuring the seasonal dynamics of cellular and especially cytoplasmic components [7][8][9][10].…”

Section: Introductionmentioning

confidence: 99%

Seasonal Growth of Pine Tree Rings: Comparison of Direct Observations and Simulation

Babushkina

Sitnikov

Upadhyay

et al. 2022

Forests

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Repetitive observations (direct measurements) of seasonal kinetics of xylogenesis and simulations (proxy data) with tree growth models are the two main approaches available to assess tree-ring growth and development. Both have drawbacks: short cover period for observations; limited accuracy of simulations depending on input data for models. We proposed an implementation of both approaches on the same trees to find ways for compensation. Cell numbers at subsequent xylogenesis stages were observed for Pinus sylvestris L. over five seasons in moisture-deficient habitats of Southern Siberia. The Vaganov–Shashkin model was parameterized for species and soil-landscape conditions to fit local tree-ring width chronologies (R = 0.56–0.73). Seasonal kinetics variables were then compared among themselves and with the simulated environmentally driven growth rate. The number of cells in the cambial and cell enlargement zone closely followed the curve of the 15-day moving average of the simulated growth rate (R = 0.56–0.87 at one site and R = 0.78–0.89 after shifting rate curve forward by 17–20 days at another site). The maximum number of cambium cells, which occurred within three weeks of the summer solstice, was found to be positively related with the number of tracheids in the complete tree ring (R2 = 0.12–0.75 for individual seasons and 0.49 for total dataset), making it a promising short-term forecast variable for tree radial growth and productivity.

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“…, plant morphogenesis [6]. Since their invention [7], CA play an outstanding role in computer science [8].…”

mentioning

confidence: 99%

Corrosion-passivation processes in a cellular automata based simulation study

2013

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A short survey of cellular automata based models for corrosion and passivation phenomena is given. Results of simulations based on the model of spatially separated anodic and cathodic reactions are presented for a cavity development from a point-like damage of a protective layer and from an initially flat unprotected surface. We show some new peculiar examples of the symmetry breaking in the cavity development. The results for the initially flat surface show roughening of the surface at the beginning of the corrosion process. After that, pit merging causes a resmoothing of the surface. An oscillatory behavior of the surface roughness is observed caused by a peninsula formation with subsequent island detachment. These results are obtained in 2D because of computational limitations. We plan simulations in 3D and point out the problems we encounter in their realization.

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Mathematical modeling of plant morphogenesis

Cited by 4 publications

References 28 publications

Cellular automata approach to corrosion and passivity phenomena

Cellular automata approach to corrosion and passivity phenomena

Seasonal Growth of Pine Tree Rings: Comparison of Direct Observations and Simulation

Corrosion-passivation processes in a cellular automata based simulation study

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