Figure 6:
Pathwise equivalency of 14D HH model and Fox and Lu's model. (A) Given a sample path of the 14×28D Langevin model in equation 4.16, we construct the noise by equation 4.18 and generate the sample trajectory of Fox and Lu's model using equation 4.17. (B) Given a sample path of Fox and Lu's model in equation 4.17, we construct the noise by equation 4.24 and generate the sample trajectory of the 14×28D Langevin model using equation 4.16. For both cases, we plot the voltage V, the open probability of the Na+ channel (M31), and the open probability of the K+ channel (N4). We obtain excellent agreement in both directions.

Pathwise equivalency of 14D HH model and Fox and Lu's model. (A) Given a sample path of the 14×28D Langevin model in equation 4.16, we construct the noise by equation 4.18 and generate the sample trajectory of Fox and Lu's model using equation 4.17. (B) Given a sample path of Fox and Lu's model in equation 4.17, we construct the noise by equation 4.24 and generate the sample trajectory of the 14×28D Langevin model using equation 4.16. For both cases, we plot the voltage V, the open probability of the Na+ channel (M31), and the open probability of the K+ channel (N4). We obtain excellent agreement in both directions.

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