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A mathematical model for the response of primary root elongation to environment


Acta Phytophysiologica Sinica 15(4): 365-370
A mathematical model for the response of primary root elongation to environment
In order to quantify the response of root elongation to environment, a mathematical model of single root elongation has been developed based on submodels for irreversible elongation and division of meristematic cells. The osmoregulation (eq.6) and hardening of cell wall with age (eq.2) has been incorporated in the model. Water absorption and transport of root (eq. 3) are also included in the model. The equations used in the model were solved by numerical integration on IBM/PCAT. Meanwhile, measurements of primary root elongation of soybean under different water potentials were made to validate the model. The results showed that the model simulated well the observation data of root elongation (Fig. 1). The model was further used to analyse the dynamics of root elongation under different water potentials. It has been shown that (1) the rate of root elongation decreased with a decrease of water potential (Fig. 3); (2) immediately after the onset of a water potential drop (from 0 to -0.2 MPa), the rate decreased for one day, then increased gradually to about the same level as the original (Fig. 4); (3) the water potential within root increased gradually with the distance from the root tip (Fig. 6).

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Accession: 001738190



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