Physical Law and Mechanistic Explanation in the Hodgkin and Huxley Model of the Action Potential

Effects of ionic parameters on behavior of a skeletal muscle fiber model

All living cells have a membrane which separates inside the cell from it's outside. There is a potential difference between inside and outside of the cell. This potential difference will change during an action potential. It is quite common to peruse action potentials of skeletal muscle fibers with the Hodgkin-Huxley model. Since Hodgkin and Huxley summarized some controlling currents like inwa...

A new circuit model for the Parameters in equations of low power Hodgkin-Huxley neuron cell

In this paper, α and β parameters and gating variables equations of Hodgkin-Huxley neuron cell have been studied. Gating variables show opening and closing rate of ion flow of calcium and potassium in neuron cell. Variable functions α and β, are exponential functions in terms of u potential that have been obtained by Hodgkin and Huxley experimentally to adjust the equations of neural cells. In ...

A new reduced mathematical model to simulate the action potential in end plate of skeletal muscle fibers

Usually mathematicians use Hodgkin-Huxley model or FitzHug-Nagumo model to simulate action potentials of skeletal muscle fibers. These models are electrically excitable, but skeletal muscle fibers are stimulated chemically. To investigate skeletal muscle fibers we use a model with six ordinary differential equations. This dynamical system is sensitive to initial value of some variables so it is...

When mechanistic models explain

Not all models are explanatory. Some models are data summaries. Some models sketch explanations but leave crucial details unspecified or hidden behind filler terms. Some models are used to conjecture a how-possibly explanation without regard to whether it is a how-actually explanation. I use the Hodgkin and Huxley model of the action potential to illustrate these ways thatmodels can be useful w...

Simulation of an Action Potential using the Hodgkin-Huxley Model in Python