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Due to the effect of roundoff errors or the measurement errors of experimental data, small perturbations are often incorporated in the coefficient matrices of SARE (1a - 1b), and hence we obtain the perturbed SARE A ˜ ⊤ X ˜ + X ˜ A ˜ + C ˜ ⊤ X ˜ C ˜ − ( X ˜ B ˜ + C ˜ ⊤ X ˜ D ˜ + S ˜ ) ( R ˜ + D ˜ ⊤ X ˜ D ˜ ) − 1 ( B ˜ ⊤ X ˜ + D ˜ ⊤ X ˜ C ˜ + S ˜ ⊤ ) + H ˜ = 0, (5a).
Mean and standard errors of experimental values calculated with using Prism 5.0 (GraphPad software Inc .. Statistical analyses comparing the mean of paired experimental groups were conducted with Student's t test using Prism 5.0 (GraphPad software Inc .. Data were considered significantly different when p-values <0.05.
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