abstract

• Excitable cells are those that, when stimulated, generate an ion-dependent action potential; between them are neurons. The action potential has been a relevant target of study concerning cellular communication and behavior. This work aims to implement and validate the action potential of an excitable cell through resistance/capacitor (RC) circuits based on a mathematical/electrical model. This perspective can help researchers understand an excitable cell%27s action potential from a mathematical and electrical approximation using a simple model. The experiment was designed based on RC circuits associated with the ionic channels of sodium (Na%2b) and potassium (K%2b). The proposed model also incorporates the %27dendrite%27 action not employed in the Hodgkin and Huxley model. Thus, a linear function by parts was used in mathematical modeling, recreating the excitable cell%27s behavior through numerical and electronic simulation. The proposed mathematical/electrical model includes dendrites and capacitors not considered in previous models. In this scheme, the dendrite joined to the RC circuit describes the behavior as physiological, concerning the action potentials and the ions responsible. © 2021 European Physical Society.
• Excitable cells are those that, when stimulated, generate an ion-dependent action potential; between them are neurons. The action potential has been a relevant target of study concerning cellular communication and behavior. This work aims to implement and validate the action potential of an excitable cell through resistance/capacitor (RC) circuits based on a mathematical/electrical model. This perspective can help researchers understand an excitable cell's action potential from a mathematical and electrical approximation using a simple model. The experiment was designed based on RC circuits associated with the ionic channels of sodium (Na%2b) and potassium (K%2b). The proposed model also incorporates the 'dendrite' action not employed in the Hodgkin and Huxley model. Thus, a linear function by parts was used in mathematical modeling, recreating the excitable cell's behavior through numerical and electronic simulation. The proposed mathematical/electrical model includes dendrites and capacitors not considered in previous models. In this scheme, the dendrite joined to the RC circuit describes the behavior as physiological, concerning the action potentials and the ions responsible. © 2021 European Physical Society.

authors

• Campos Cantón Isaac
• Rangel López Azahel de Jesús
• Vertiz Hernández Ángel Antonio

publication date

• 2021-01-01

published in

• European Journal of Physics  Journal

keywords

• action potential; excitable cell; mathematical/electrical model; resistance/capacitor circuits Cells; Cellular radio systems; Cytology; Electrophysiology; Ions; Timing circuits; Action potentials; Electronic model; Electronic simulation; Excitable cells; Ionic channels; Linear functions; Relevant target; Simple modeling; Functions

Digital Object Identifier (DOI)

• 10.1088/1361-6404/abd227

PubMed ID

start page

end page

volume

• 42

issue

• 3