<p>Appendix A: Calculation of MSE Area</p><p>The calculation of multi-scale entropy area (MSE Area) consists of three steps. (Ref.6) </p><p>The first step: Obtain the coarse-grained sequences of PC {X(τ )}</p><p> jt X(t ) = 1 z jt i (a) i=( j - 1)t + 1</p><p> where {z1, z2, . . ., zN} is the time series of PC</p><p>N: data length of PC; τ : the scale factor; 1 ≤ j ≤ N/ τ</p><p>The second step: Calculation of SampEn for each coarse-grained sequence {X(τ )}</p><p>(τ ) MSE = {SampEn(τ ), τ=1,2,…60} (b)</p><p>SampEn measures the negative natural logarithm of an estimate of the </p><p> conditional probability that epochs of length m that match point-wise </p><p> within a tolerance level (r) also match at the next point. Here, r = 20% of </p><p> the standard deviations of X(τ ), and m = 2. (Ref.6) </p><p>The third step: Summation of each MSE(τ ) across different time scales (τ)</p><p>60 MSE Area = MES (t ) (c) t =1</p><p>1</p>
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