A new method for analysis of heart rate variability: counting statistics of 1/f fluctuations

Meesmann, Malte; Grüneis, Ferdinand; Flachenecker, Peter; Kniffki, K.‐D.

doi:10.1007/bf00201855

Cited by 18 publications

(7 citation statements)

References 22 publications

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“…The power‐law is the hallmark of ‘noise’ in physical systems, a fact that may be relevant to headache, which is increasingly being characterized as a modulation problem. The power‐law is ubiquitous, seen in physical systems of all sizes; from earthquakes and fluctuations of the Nile to heart rate, EEG and ion channel fluctuations 129‐137 . Channel noise is thought to arise from the random opening and closing of the channels in the cell membrane; a possible mechanism for it is variations in potassium conductance caused by vibration of hydrocarbon chains in neuronal membrane lipids 138 .…”

Section: A Pathology‐free Alternative—noise In the Trigeminovascular mentioning

confidence: 99%

The Lack of Peripheral Pathology in Migraine Headache

Lambert

2010

Headache

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This article reviews the baffling problem of the pathophysiology behind a peripheral genesis of migraine pain--or more particularly the baffling problem of its absence. I examine a number of pathophysiological states and the effector mechanisms for these states and find most of them very plausible and that they are all supported by abundant evidence. However, this evidence is mostly indirect; to date the occurrence of any of the presumed pathological states has not been convincingly demonstrated. Furthermore, there is little evidence of increased trigeminal sensory traffic into the central nervous system during a migraine attack. The article also examines a number of observations and experimental programs used to bolster a theory of peripheral pathology and suggests reasons why they may in fact not bolster it. I suggest that a pathology, if one exists, may be in the brain and even that it may not be a pathology at all. Migraine headache might just happen because of random noise in an exquisitely sensitive and complex network. The article suggests an experimental program to resolve these issues.

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Section: A Pathology‐free Alternative—noise In the Trigeminovascular mentioning

confidence: 99%

The Lack of Peripheral Pathology in Migraine Headache

Lambert

2010

Headache

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“…1), 1 +/3 presents at high values, but slightly decreasing with interval shortening (cf. also Meesmann et al 1993a). The result for the entire set is marked (@) in Fig.…”

Section: Resultsmentioning

confidence: 99%

“…The subset evaluation might also enable an estimation of the amount of data necessary for a proper characterization of the process. Because 14 years of observation time is still a short period on the geological scale, the exponent /3, which converges to the theoretical value only for infinitely long measurements (Meesmann et al 1993a), might be underestimated.…”

Section: Discussionmentioning

confidence: 99%

“…The catalogue for this zone can be considered complete since 1978 from magnitude 3.0, with a total of 474 earthquakes up to 1992 (450" 106 s; Usually, S(f) is obtained by an FFT. To avoid the problems in using FFT for the obtained point process, we alternatively used a new simple method based on counting statistics (Meesmann et al 1993a) (Scharf et al 1995;Scharf et al in press;Koroutchev et al in press) to analyse the S(f) of the recorded earthquakes at low frequencies.…”

Section: Methodsmentioning

confidence: 99%

“…(3) (Cox and Isham 1980), and therefore the key to determine the low-frequency part of the spectrum Sy (f) is to obtain Var[N(At)] experimentally (Meesmann et al 1993a). If the VTC follows a power law within certain…”

Section: Methodsmentioning

confidence: 99%

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Counting statistics of f ?? fluctuations: a new method for analysis of earthquake data

et al. 1996

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In a variety of biological and physical phenomena, temporal fluctuations are found, which are not explainable as consequences of statistically independent random events. If these fluctuations are characterized by a power spectrum density S(f) decaying as f -¢ at low frequencies, this behaviour is called 1/f noise.Counting statistics applied to earthquake activity data leads to three time scales with different characteristics, represented by the exponent/3: at interval lengths less than 1 h, the shocks are randomly distributed as in a Poisson process. For medium time intervals (1 day to 3 months), the exponent 1 +/3 is larger (1.4 for M0=3), but approaches unity for higher threshold magnitudes M0. In longer time ranges the exponent assumes values near 1.55, however, with increasing statistical variation at higher M0, due to lower counts.The temporal sequence is different from white noise; thus, it might be fruitful to apply neural network algorithms, because this method allows predictions in some other cases with similar characteristics.

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