Abstract

Physiological processes in plants exhibit dynamism, necessitating the utilization of innovative mathematical tools for comprehension. Electrical signals play a critical role in both intercellular and intracellular communication. The biomathematical modeling of these electrical signals requires a comprehensive understanding of models that involve periodic signals. This article provides a concise overview of the fundamental principles of oscillatory signals, focusing on a specific arithmetic approach known as proportional arithmetic. Furthermore, the introduction of q-periodic functions, proportional models for heat and wave phenomena, and the Fourier and Laplace proportional transform are presented. These mathematical tools possess unique characteristics and hold significant potential for modeling electrical signals in plants. The application of this biomathematical modeling approach will advance the understanding of plant electrophysiology and the mechanisms that underlie it. © 2023 IEEE.