Abstract
A previous study proposed a mathematical model of A-type horizontal cells in the rabbit retina. This model, which was constructed based on the Hodgkin-Huxley model, was described by a system of nonlinear ordinary differential equations. The model contained five types of voltage-dependent ionic conductances: sodium, calcium, delayed rectifier potassium, transient outward potassium, and anomalous rectifier potassium conductances. The previous study indicated that when the delayed rectifier potassium conductance had a small value, depolarizing stimulation could change the dynamic state of the model from a hyperpolarized steady state to a depolarized steady state. However, how this change was affected by variations in the ionic conductance values was not clarified in detail in the previous study. To clarify this issue, in the present study, we performed numerical simulation analysis of the model and revealed the differences among the five types of ionic conductances.
Highlights
A-type horizontal cells in the rabbit retina are classified into two types: one type can generate repetitive spiking [1], and the other cannot [2]
Each of the mathematical models of the spiking and non-spiking cells is described by a system of nonlinear ordinary differential equations (ODEs), and contains five types of voltage-dependent ionic conductances: sodium, calcium, delayed rectifier potassium, transient outward potassium, and anomalous rectifier potassium conductances
This study investigated the effect of a decrease in the sodium, calcium, and transient outward potassium conductances on the dynamics of the non-spiking cell model, it did not examine the effect of a decrease in other ionic conductances such as the anomalous rectifier potassium conductance
Summary
A-type horizontal cells in the rabbit retina are classified into two types: one type can generate repetitive spiking [1], and the other cannot [2]. (2016) The Effect of Variations in Ionic Conductance Values on the Dynamics of a Mathematical Model of Non-Spiking A-Type Horizontal Cells in the Rabbit Retina. This study investigated the effect of a decrease in the sodium, calcium, and transient outward potassium conductances on the dynamics of the non-spiking cell model, it did not examine the effect of a decrease in other ionic conductances such as the anomalous rectifier potassium conductance. It did not investigate the effect of an increase in the five types of ionic conductances. The present study performed numerical simulation to evaluate the effect of variations in the five types of ionic conductances on the dynamics of the non-spiking cell model
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
