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double exponential decay equation  (MathWorks Inc)


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    MathWorks Inc double exponential decay equation
    Effect of current rise time on the measured adaptation percentage. A, With the hair-bundle creep masking the fast-current decays, the current rise time could lengthen. Therefore, a cell with a long current rise time when using a step-like force stimulus would have a shorter current rise time with a step-like displacement stimulus. With a long current rise time, adding an <t>exponential</t> decay function to the curve may only shorten the current rise time (left), but adding the same exponential decay function to a short current rise time results in current decay. The exponential decay function is similar to what the modified stimulus may do to achieve a step-like displacement. B, For step-like displacements, there was also an inverse correlation between the total adaptation at 5 ms and the time to peak current as seen in the plot of the percentage adaptation at 5 ms versus the base 10 log of the time to peak current for step-like displacement stimulation at negative (black circle) and positive potentials (red x). Pearson's correlation coefficient = −0.80, p = 0.0011. The inverse correlation may account for the nonsignificant differences between the total adaptation at 5 ms between negative and positive potentials for step-like displacements (Fig. 5C), because at negative potentials, shorter times to peak current tended to be observed (Fig. 5E).
    Double Exponential Decay Equation, supplied by MathWorks Inc, used in various techniques. Bioz Stars score: 90/100, based on 1 PubMed citations. ZERO BIAS - scores, article reviews, protocol conditions and more
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    1) Product Images from "Hair Bundle Stimulation Mode Modifies Manifestations of Mechanotransduction Adaptation"

    Article Title: Hair Bundle Stimulation Mode Modifies Manifestations of Mechanotransduction Adaptation

    Journal: The Journal of Neuroscience

    doi: 10.1523/JNEUROSCI.1408-19.2019

    Effect of current rise time on the measured adaptation percentage. A, With the hair-bundle creep masking the fast-current decays, the current rise time could lengthen. Therefore, a cell with a long current rise time when using a step-like force stimulus would have a shorter current rise time with a step-like displacement stimulus. With a long current rise time, adding an exponential decay function to the curve may only shorten the current rise time (left), but adding the same exponential decay function to a short current rise time results in current decay. The exponential decay function is similar to what the modified stimulus may do to achieve a step-like displacement. B, For step-like displacements, there was also an inverse correlation between the total adaptation at 5 ms and the time to peak current as seen in the plot of the percentage adaptation at 5 ms versus the base 10 log of the time to peak current for step-like displacement stimulation at negative (black circle) and positive potentials (red x). Pearson's correlation coefficient = −0.80, p = 0.0011. The inverse correlation may account for the nonsignificant differences between the total adaptation at 5 ms between negative and positive potentials for step-like displacements (Fig. 5C), because at negative potentials, shorter times to peak current tended to be observed (Fig. 5E).
    Figure Legend Snippet: Effect of current rise time on the measured adaptation percentage. A, With the hair-bundle creep masking the fast-current decays, the current rise time could lengthen. Therefore, a cell with a long current rise time when using a step-like force stimulus would have a shorter current rise time with a step-like displacement stimulus. With a long current rise time, adding an exponential decay function to the curve may only shorten the current rise time (left), but adding the same exponential decay function to a short current rise time results in current decay. The exponential decay function is similar to what the modified stimulus may do to achieve a step-like displacement. B, For step-like displacements, there was also an inverse correlation between the total adaptation at 5 ms and the time to peak current as seen in the plot of the percentage adaptation at 5 ms versus the base 10 log of the time to peak current for step-like displacement stimulation at negative (black circle) and positive potentials (red x). Pearson's correlation coefficient = −0.80, p = 0.0011. The inverse correlation may account for the nonsignificant differences between the total adaptation at 5 ms between negative and positive potentials for step-like displacements (Fig. 5C), because at negative potentials, shorter times to peak current tended to be observed (Fig. 5E).

    Techniques Used: Modification



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    double exponential decay equation  (MathWorks Inc)
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    Effect of current rise time on the measured adaptation percentage. A, With the hair-bundle creep masking the fast-current decays, the current rise time could lengthen. Therefore, a cell with a long current rise time when using a step-like force stimulus would have a shorter current rise time with a step-like displacement stimulus. With a long current rise time, adding an <t>exponential</t> decay function to the curve may only shorten the current rise time (left), but adding the same exponential decay function to a short current rise time results in current decay. The exponential decay function is similar to what the modified stimulus may do to achieve a step-like displacement. B, For step-like displacements, there was also an inverse correlation between the total adaptation at 5 ms and the time to peak current as seen in the plot of the percentage adaptation at 5 ms versus the base 10 log of the time to peak current for step-like displacement stimulation at negative (black circle) and positive potentials (red x). Pearson's correlation coefficient = −0.80, p = 0.0011. The inverse correlation may account for the nonsignificant differences between the total adaptation at 5 ms between negative and positive potentials for step-like displacements (Fig. 5C), because at negative potentials, shorter times to peak current tended to be observed (Fig. 5E).
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    Effect of current rise time on the measured adaptation percentage. A, With the hair-bundle creep masking the fast-current decays, the current rise time could lengthen. Therefore, a cell with a long current rise time when using a step-like force stimulus would have a shorter current rise time with a step-like displacement stimulus. With a long current rise time, adding an <t>exponential</t> decay function to the curve may only shorten the current rise time (left), but adding the same exponential decay function to a short current rise time results in current decay. The exponential decay function is similar to what the modified stimulus may do to achieve a step-like displacement. B, For step-like displacements, there was also an inverse correlation between the total adaptation at 5 ms and the time to peak current as seen in the plot of the percentage adaptation at 5 ms versus the base 10 log of the time to peak current for step-like displacement stimulation at negative (black circle) and positive potentials (red x). Pearson's correlation coefficient = −0.80, p = 0.0011. The inverse correlation may account for the nonsignificant differences between the total adaptation at 5 ms between negative and positive potentials for step-like displacements (Fig. 5C), because at negative potentials, shorter times to peak current tended to be observed (Fig. 5E).
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    Effect of current rise time on the measured adaptation percentage. A, With the hair-bundle creep masking the fast-current decays, the current rise time could lengthen. Therefore, a cell with a long current rise time when using a step-like force stimulus would have a shorter current rise time with a step-like displacement stimulus. With a long current rise time, adding an exponential decay function to the curve may only shorten the current rise time (left), but adding the same exponential decay function to a short current rise time results in current decay. The exponential decay function is similar to what the modified stimulus may do to achieve a step-like displacement. B, For step-like displacements, there was also an inverse correlation between the total adaptation at 5 ms and the time to peak current as seen in the plot of the percentage adaptation at 5 ms versus the base 10 log of the time to peak current for step-like displacement stimulation at negative (black circle) and positive potentials (red x). Pearson's correlation coefficient = −0.80, p = 0.0011. The inverse correlation may account for the nonsignificant differences between the total adaptation at 5 ms between negative and positive potentials for step-like displacements (Fig. 5C), because at negative potentials, shorter times to peak current tended to be observed (Fig. 5E).

    Journal: The Journal of Neuroscience

    Article Title: Hair Bundle Stimulation Mode Modifies Manifestations of Mechanotransduction Adaptation

    doi: 10.1523/JNEUROSCI.1408-19.2019

    Figure Lengend Snippet: Effect of current rise time on the measured adaptation percentage. A, With the hair-bundle creep masking the fast-current decays, the current rise time could lengthen. Therefore, a cell with a long current rise time when using a step-like force stimulus would have a shorter current rise time with a step-like displacement stimulus. With a long current rise time, adding an exponential decay function to the curve may only shorten the current rise time (left), but adding the same exponential decay function to a short current rise time results in current decay. The exponential decay function is similar to what the modified stimulus may do to achieve a step-like displacement. B, For step-like displacements, there was also an inverse correlation between the total adaptation at 5 ms and the time to peak current as seen in the plot of the percentage adaptation at 5 ms versus the base 10 log of the time to peak current for step-like displacement stimulation at negative (black circle) and positive potentials (red x). Pearson's correlation coefficient = −0.80, p = 0.0011. The inverse correlation may account for the nonsignificant differences between the total adaptation at 5 ms between negative and positive potentials for step-like displacements (Fig. 5C), because at negative potentials, shorter times to peak current tended to be observed (Fig. 5E).

    Article Snippet: For mechanical stimulus steps, a double exponential decay equation was automatically fit in MATLAB using steps that elicited ∼50% maximum current: where τ 1 and τ 2 were the decay constants, and A 1 and A 2 were the respective amplitudes.

    Techniques: Modification