build a model (write code) that simulates the probabilistic behavior of a single potassium ion channel in response to a step of voltage.

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silent 2021-3-22

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https://ww2.mathworks.cn/matlabcentral/answers/780232-build-a-model-write-code-that-simulates-the-probabilistic-behavior-of-a-single-potassium-ion-chann

评论： Prudhvi Peddagoni 2021-3-25

We will explore the STEP RESPONSE of individual ion channels and wholecell sodium and potassium current. We will compare a probabilistic model with the Hodgkin Huxley squid axon model.

In MATLAB, build a model (write code) that simulates the probabilistic behavior of a single potassium ion channel in response to a step of voltage. This single-channel model should be developed to meet the following requirements:

The output of the model shall be a simulated potassium current that takes on a value of 0 pA when the channel is closed and 2 pA when the channel is open. (You may find the stairs command useful for plotting the time trajectory of these currents.)

The model shall incorporate some kind of randomization (e.g. rand) so that the channel behaves in a probabilistic manner – that is, its time trajectory is different each time you run the simulation.

Over the physiological range of voltage (-20 mV to 100 mV), the steadystate open-channel probability of the probabilistic model shall be within 5% of the steady-state open-channel probability of the Hodgkin Huxley model at each voltage.

The time increment used in the simulation shall be sufficiently small to capture signaling events of physiological interest.