Comput Math Methods Med - Methodological framework for estimating the correlation dimension in HRV signals.

Tópicos

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Resumo

This paper presents a methodological framework for robust estimation of the correlation dimension in HRV signals. It includes (i) a fast algorithm for on-line computation of correlation sums; (ii) log-log curves fitting to a sigmoidal function for robust maximum slope estimation discarding the estimation according to fitting requirements; (iii) three different approaches for linear region slope estimation based on latter point; and (iv) exponential fitting for robust estimation of saturation level of slope series with increasing embedded dimension to finally obtain the correlation dimension estimate. Each approach for slope estimation leads to a correlation dimension estimate, called D2, D(2()), and D(2(max)). D2 and D(2(max)) estimate the theoretical value of correlation dimension for the Lorenz attractor with relative error of 4%, and D(2()) with 1%. The three approaches are applied to HRV signals of pregnant women before spinal anesthesia for cesarean delivery in order to identify patients at risk for hypotension. D2 keeps the 81% of accuracy previously described in the literature while D(2()) and D(2(max)) approaches reach 91% of accuracy in the same database.

Resumo Limpo

paper present methodolog framework robust estim correl dimens hrv signal includ fast algorithm onlin comput correl sum ii loglog curv fit sigmoid function robust maximum slope estim discard estim accord fit requir iii three differ approach linear region slope estim base latter point iv exponenti fit robust estim satur level slope seri increas embed dimens final obtain correl dimens estim approach slope estim lead correl dimens estim call d d dmax d dmax estim theoret valu correl dimens lorenz attractor relat error d three approach appli hrv signal pregnant women spinal anesthesia cesarean deliveri order identifi patient risk hypotens d keep accuraci previous describ literatur d dmax approach reach accuraci databas

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