Action potential is considered to be one of primary responses of a plant to action of various environmental factors. Understanding of plant action potential propagation mechanisms requires experimental investigation as well as a simulation; however, a detailed mathematical model of plant electrical signal transmission is absent. Here, the mathematical model of action potential propagation in plants has been worked out. The model is a two-dimensional system of excitable cells; each of them is electrically coupled with four neighboring ones. Ion diffusion between excitable cell apoplast areas is also taken into account. The action potential generation in a single cell has been described on the basis of our previous model. The model simulates active and passive signal transmission well enough. It has been used to analyze theoretically the influence of cell to cell electrical conductivity and H+-ATPase activity on the signal transmission in plants. An increase of cell to cell electrical conductivity has been shown to stimulate an increase of the length constant, the action potential propagation velocity and the temperature threshold, while the membrane potential threshold being weakly changed. The growth of H+-ATPase activity has been found to induce to the increase of temperature and membrane potential thresholds and the reduction of the length constant and the action potential propagation velocity.
J. Theor. Biol., 2011. V. 291. P. 47–55.