Abstract

Current mainstream neural computing is based on the electricity model proposed by Hodgkin and Huxley in 1952, the core of which is ion passive transmembrane transport controlled by ion channels. However, studies on the evolutionary history of ion channels have shown that some neuronal ion channels predate the neurons. Thus, to deepen our understanding of neuronal activities, ion channel models should be applied to other cells. Expanding the scope of electrophysiological experiments from nerve to muscle, animal to plant, and metazoa to protozoa, has lead the discovery of a number of ion channels. Moreover, the properties of these newly discovered ion channels are too complex to be described by current common models. Hence this paper has presented a convenient method for estimating the distribution of ions under an electric field and established a general ionic concentration-based model of ion passive transmembrane transport that is simple but capable of explaining and simulating the complex phenomena of patch clamp experiments, is applicable to different ion channels in different cells of different species, and conforms to the current general understanding of ion channels. Finally, we designed a series of mathematical experiments, which we have compared with the results of typical electrophysiological experiments conducted on plant cells, oocytes, myocytes, cardiomyocytes, and neurocytes, to verify the model.

Highlights

  • It is well-established that ion channels and pumps generate ion transmembrane transport

  • Cells are different in shape and size, given our focus on the properties of membranes and channels, this does not affect the analysis of the model to unify the cells into a sphere with radius r = 10 μm, especially for ion channels

  • In this paper we attempt to establish a general model of ion passive transmembrane transport based on ion concentration that conforms to the general understanding of ion channel today

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Summary

INTRODUCTION

It is well-established that ion channels and pumps generate ion transmembrane transport. When we focus on transmembrane ion transport which is perpendicular to the membrane, we can ignore the outer electromagnetic field and consider only the electric field generated by the ions For these reasons, we cannot use the Nernst equation to calculate the membrane potential directly using the ionic concentration before estimating the ion density on the membrane surface, we may still borrow some ideas from the study of the electrical double layer. The electrical double layer is an array of charged particles and oriented dipoles that is thought to exist at every interface (Grahame, 1947) Extending this idea to both sides of the membrane, we can estimate the ion density on the membrane surface.

Ionic Flux
Ionic Concentration
Ionic Density on Surface
Estimating
Membrane Potential
ION CHANNEL MODEL
Sensor
Filter
RESULTS
Estimation of Capacitance
Potassium Channel From Plant Root Cell
Filter Properties
Special Sensitivity
Calcium-Activated Chloride Channel
Combined Effect of Channels
DISCUSSION
Conduction
Information
Solution of Experiments
Parameters of the Channel Model
Full Text
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