title: An analytical model of memristors in plants.
abstract: The memristor, a resistor with memory, was postulated by Chua in 1971 and the first solid-state memristor was built in 2008. Recently, we found memristors in vivo in plants. Here we propose a simple analytical model of 2 types of memristors that can be found within plants. The electrostimulation of plants by bipolar periodic waves induces electrical responses in the Aloe vera and Mimosa pudica with fingerprints of memristors. Memristive properties of the Aloe vera and Mimosa pudica are linked to the properties of voltage gated K(+) ion channels. The potassium channel blocker TEACl transform plant memristors to conventional resistors. The analytical model of a memristor with a capacitor connected in parallel exhibits different characteristic behavior at low and high frequency of applied voltage, which is the same as experimental data obtained by cyclic voltammetry in vivo.
authors.affiliation: a Department of Neurology ; University of Texas, Southwestern Medical Center ; Dallas , TX USA.
authors.forename: Vladislav S
authors.initials: VS
authors.lastname: Markin
authors.forename: Alexander G
authors.initials: AG
authors.lastname: Volkov
authors.forename: Leon
authors.initials: L
authors.lastname: Chua
mesh_terms: D000504:Aloe / Q000502:physiology; D004558:Electric Stimulation; D004560:Electricity; D055664:Electrochemical Techniques; D055724:Electrophysiological Phenomena; D031298:Mimosa / Q000502:physiology; D008954:Models, Biological; D018521:Plant Physiological Phenomena
keywords: Aloe vera; Bioelectrochemistry; C, capacitance; DAQ, data acquisition; G, meminductance; I, electrical current; Mimosa pudica; PXI, PCI eXtensions for Instrumentation; TEACl, tetraethylammonium chloride; V, voltage; VFG, voltage of a function generator; VR, voltage on resistor R; Vp, voltage between electrodes in plants; cyclic voltammetry; electrophysiology; ion channel; memristor; signal transduction; t, time; τ, delay time