Towards a mathematical model of plant growth

Maksimov, Ivan; Apaseev, A; Maksimov, Vyacheslav I.; Alekseev, Evgeniy; Pushkarenko, Nikolay; Maksimov, N

doi:10.1088/1755-1315/935/1/012031

Cited by 2 publications

(2 citation statements)

References 9 publications

(12 reference statements)

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“…Currently, many agricultural producers have developed a precision farming system using devices and methods for assessing and managing the growth of crops [10]. Mathematical modeling is one approach that can be used in precision agriculture to identify stresses that occur in crops.…”

Section: Introductionmentioning

confidence: 99%

Plant stress prediction model on nutrient film technique hydroponic in a natural greenhouse

Setiawati

Sutiarso

Ngadisih

et al. 2023

IOP Conf. Ser.: Earth Environ. Sci.

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This study aimed to identify plant stress on the NFT hydroponic module in the greenhouse using the mathematical model of the 4th-order polynomial regression equation. The artificial Neural Network (ANN) approach was also conducted to analyze factors affecting plant growth and yield. Tatsoi plants (Brassica rapa subsp. Narinosa) were grown in the NFT hydroponic module with three treatments of irrigation time, i.e., 6 hours (A6), 12 hours (A12), and 24 hours (A24). Measured parameters include microclimate (temperature, relative humidity, and light intensity) and plant morphology (leaf canopy area, root length, leaf number, and plant weight). The value of the resulting model’s coefficient of determination (R2) for A6, A12, and A24 were 0.9986, 0.994, and 0.9988, respectively. The results of the validation test also show that the prediction data built from the model is very close to the actual data of tatsoi plant’s leaf canopy area. Based on the ANN approach, the MAPE value (0.240) and error (0.00116) A6 treatment were the smallest, whereas the largest R2 value (0.979) was also obtained in this treatment. Furthermore, analysis of the plant weight showed that changes in the leaf canopy area due to water stress ultimately affect plant yield.

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Section: Introductionmentioning

confidence: 99%

Plant stress prediction model on nutrient film technique hydroponic in a natural greenhouse

Setiawati

Sutiarso

Ngadisih

et al. 2023

IOP Conf. Ser.: Earth Environ. Sci.

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“…Условия, материалы и методы. В более ранних работах [13,14,15] для оценки функционирования системы «растение -почвавоздух» предложено использовать потенциал ξ роста растений, представляющий собой отношение мощности ΔN, затраченной на формирование единицы массы Δm растительности:…”

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Determination of Bifurcation Points in the Functioning of “Soil-Plant–air” System

Maksimov

Kalimullin

Alekseev

et al. 2023

Vestnik of Kazan State Agrarian University

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To date, a number of mathematical models of plant growth, developed by domestic and foreign scientists, are known. However, the issues of determining the bifurcation points that arise during the functioning of “soil-plant-air” system have not been sufficiently considered. In relation to the issues considered in the article, the bifurcation point is a critical state of the “plant” subsystem, at which it becomes unstable with respect to fluctuations in natural and climatic conditions (drought, frost, prolonged rains, etc.) and there is uncertainty in the development of plants (further growth or their death), as well as the intensive growth of plants as a result of the corresponding technological operations. For control and operational management of the formation of agricultural crops, it is desirable to know the bifurcation points determined by the biological time of plant growth and extreme weather situations. Therefore, the main goal of research is the analytical determination of bifurcation points observed during the vegetation of plants. The “plant” subsystem at the bifurcation point can be simultaneously in two or more states. As a result of the analysis of the obtained analytical dependences of various possible states of “soil-plant-air” system, it is proposed to subdivide bifurcations into negative and positive ones. A method has been obtained for determining bifurcation points during the functioning of “soil-plant-air” system. Under natural and climatic conditions, critical situations can arise with insufficient incoming substances to “soil-plant-air” system, such as light supply, moisture supply, heat supply, food supply and gas supply of plants. As a result of analytical studies, bifurcation points were determined in “soil-plant-air” system, depending on the radiation balance (R) formed on the underlying surface, slopes of different exposure and steepness, and coefficients characterizing light, moisture, heat, food and gas supply plants.

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Towards a mathematical model of plant growth

Cited by 2 publications

References 9 publications

Plant stress prediction model on nutrient film technique hydroponic in a natural greenhouse

Plant stress prediction model on nutrient film technique hydroponic in a natural greenhouse

Determination of Bifurcation Points in the Functioning of “Soil-Plant–air” System

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