Principle Study of Head Meridian Acupoint Massage to Stress Release via Grey Data Model Analysis

20 Pages·2016·2.2 MB·English

Hindawi Publishing Corporation
Evidence-Based Complementary and Alternative Medicine
Volume 2016, Article ID 4943204, 19 pages
http://dx.doi.org/10.1155/2016/4943204
Research Article
Principle Study of Head Meridian Acupoint Massage to
Stress Release via Grey Data Model Analysis
Ya-TingLee
DepartmentofBeautyScience,NationalTaichungUniversityofScienceandTechnology,No.193,Sec.1,San-MinRoad,Taichung
40343,Taiwan
CorrespondenceshouldbeaddressedtoYa-TingLee;[email protected]
Received4October2015;Revised19December2015;Accepted22December2015
AcademicEditor:HongcaiShang
Copyright©2016Ya-TingLee.ThisisanopenaccessarticledistributedundertheCreativeCommonsAttributionLicense,which
permitsunrestricteduse,distribution,andreproductioninanymedium,providedtheoriginalworkisproperlycited.
Thispaperpresentsthescientificstudyoftheeffectivenessandactionprincipleofheadmeridianacupointmassagebyapplying
thegreydatamodelanalysisapproach.First,theheadmassageprocedureformassagingtheimportantheadmeridianacupuncture
pointsincludingTaiyang, Fengfu,Tianzhu,Fengqi,andJianjingisformulatedinastandardmanner. Second,thestatusofthe
autonomicnervoussystemofeachsubjectisevaluatedbyusingtheheartratevariabilityanalyzerbeforeandaftertheheadmassage
followingfourweeks.Afterward,thephysiologicalfactorsofautonomicnervesarequantitativelyanalyzedbyusingthegreydata
modelingtheory.Thegreydataanalysiscanpointoutthatthestatusofautonomicnervoussystemisgreatlyimprovedafterthe
massage.Theorderchangeofthegreyrelationshipweightingofphysiologicalfactorsshowstheactionprincipleofthesympathetic
andparasympatheticnerveswhenperformingheadmassage.Inotherwords,thegreydatamodelisabletodistinguishthedetailed
interactionoftheautonomicnervoussystemandtheheadmeridianacupointmassage.Thus,thestressrelaxingeffectofmassaging
headmeridianacupointsisproved,whichislackedinliterature.Theresultscanbeareferenceprincipleformassagehealthcarein
practice.
1.Introduction truethatthestressphysicallyandcognitivelyaffectsthebody,
wherethephysicalimpactsincludemuscletension,shallow
In the last twenty years, the meridian theory is becoming and frequent breathing, tachycardia, high blood pressure,
animportanttherapyincomplementarymedicine.Different and the secretion of adrenalin and the cognitive impacts
fromtraditionalmedicinaltreatments,themeridiantherapy include difficulty concentrating and memory problems. If
takes acupuncture massage to palliate the symptoms of the stress is not coped with appropriately or the body and
patients[1–3].ThetraditionalChinesemedicinehaspointed mind are not properly adjusted, then chronic stress will
out that the meridian acupuncture massage has a curative induce various physical and psychological responses, for
effect to headaches, dizziness, stiff neck, shoulder and back example, diseases of the nervous, endocrine, immune, and
pain,stomachache,andsoforth.Asaresult,manyresearches reproductive systems. Although authors in [16, 17] observe
wereproposedtounderstandtheeffectsandmechanismsof thestressreleaseafterbodymassage,theevaluationonstress
the meridian therapy [4–11]. For worthwhile examples, the change is only according to blood pressure, heart rate, and
stresscanberelaxedbythebackmassage[12];dysmenorrheal feeling of the patient. On the other hand, since stress is
andlumbarspondylolisthesiscanbepalliatedbymassaging body’s reaction to events, thoughts, or emotions, the heart
corresponding acupunctures [13, 14]; the meridian massage rate variability (HRV) [18] can show psychological change
canreduceweightandcontrolphysiologicalindexforsimple of the stress even simple deep breathing exercises. There
obesity patients [15]; and so on. Among these benefits of are many researches that indicate that the HRV reflects the
meridian therapy, the effect of reducing stress has received status of autonomic nervous system (cf. [19]). Accordingly,
much attention in the contemporary age because most of the HRV is measured for evaluating the effect of meridian
peoplearesubjecttohighstressindailylife[12,16,17].Itis massage therapy in researches [19–22] for more scientific
2 Evidence-BasedComplementaryandAlternativeMedicine
and accurate study. However, these works [19–22] cannot LF/HFratio.Totalof45middle-agedwomeninTaiwanjoin
findtheinteractionmodelfromincompletedatastatisticsof thisexperimentforfourweeks,whileallthetestsubjectsare
the physiological change during the process of the massage withlong-termworkstressandhighPSIbeforethemassage.
therapy. Moreover, a lot of experiments are required for Furthermore,thegreyGM(0,𝑁)modelofthedatasystemis
accurately studying the effect of the meridian massage. In constructed to find the relationship between the head mas-
other words, interaction quantitative analysis is lacked in sageandeachphysiologicalfactorofHRV(i.e.,statusofthe
current literature. In addition, although Chinese meridian autonomicnervoussystem).Asaresult,thegreyrelationship
theory [1] claims that massaging acupuncture points on weighting points out the characteristic that head meridian
headandshouldersarerelatedtoimprovementofthebody massagerelaxesthestressandimprovesautonomicnervous
stress, very few works study the related field on the head systemfunction.Thedetailedphysiologicalactionprinciple
massage [23]. This is because the meridian acupunctures of the head massage is understood from integrating the
on the head are more complex than the human body. Also, statisticandgreymodelinganalysis.Inaddition,theeffective
thecharacteristicandquantitativeanalysisofheadmeridian modeloftheheadmeridianmassagecanbeclarifiedwithout
acupuncture massage is lacked in literature. No integrated complex mathematic calculation and enormous amount of
methodcanofferexplanationoftheimpactandphysiological data.
changes due to head acupuncture point massage so far. In this paper, we firstly formulate the study method of
The effects in most of massage therapies are still measured head meridian massage in Section2. In Section3, the grey
qualitatively through feeling feedback from subjects. Thus, GM(0,𝑁)modelispresentedtodataanalysis.InSection4,
more scientific analysis is required for studying the head the analyzed and discussed results are presented. Finally,
meridianmassagetherapy. we make some conclusions and suggestions for the further
From the pioneering work of Professor Deng [24], grey researchinSection5.
system theory has been rigorously utilized in a variety of
fieldsincludingengineeringscience[25,26],medicine[27],
2.Method ofHeadMassage
dataanalysis[28,29],andgreyrelationalanalysis[30].Since
thegreysystemtheorycanminimizetherandomnessofthe To perform the scientific study of the head massage, a
dataseriesandtheinterferencefromtherandominformation standardprocedureofmassagingheadmeridianacupuncture
by applying the grey generating, the numerical data do not pointsisgiveninthefollowing.
need to satisfy classical distribution. In other words, the
grey system theory is able to solve the analysis problem of
2.1. Location of Important Meridian Acupuncture Points.
incompleteinformationdataandrealizemanysignificantand
First, let us introduce five important meridian acupuncture
effective applications. In addition, the grey system theory
points on the head and the shoulders which belong to the
is able to construct the data model of complex systems
extra channel, Dumeridian,urinarybladder meridian,and
andestimatetherelationshipbetweentheinputandoutput
gallbladdermeridian,respectively.
factors. Here the characteristic of the data system can be
clarified from calculating the relationship weighting of the
(i)EX-HN5(Taiyang).Taiyangacupointisanextraordinary
grey data model. Moreover, the grey relationship weighting
acupuncture point. The EX-HN5 acupoint is in the depres-
is obtained from the least square estimation method which
sion about one fingerbreadth behind the midpoint of a line
is a kind of optimal linear regression approach; that is, the
connecting the lateral end of the eyebrow and the outer
grey model can emulate the data system in an optimized
canthusoftheeye.Theactionandeffectsaredependenton
mannereveniflessdatasamplesareconsidered.Incontrast,
migraineheadaches,dizziness,andeyeissues.
traditionalregressionanalysisorstatisticscommonlyrequire
averylargeamountofdatatoobtainacorrectanalyzedresult
(ii)UB10(Tianzhu).Tianzhuacupointisonurinarybladder
ofsystembehavioraldata.Asaresult,thegreymodeltheory
meridianwhichwillbenefitneckissues,stiffness,andoccipi-
issuitablyappliedonthecharacteristicanalysisofthehead
talheadache.Thispointislocatedabout5cmlateralfromthe
meridianacupointmassagewhichaccompaniescomplexand
midlineinthedepressiononthelateralaspectofthetrapezius
uncertainphysiologicalrelation.
muscle.Massagingthispointmayimprovememory.
Motivatedbytheabove,thisstudyinvestigatestheeffect
of massaging acupuncture points on the head and uses the (iii) Du16 (Fengfu). Du16 is an important point at the Du
grey system theory for assistant data analysis. First, the meridian.Thepointislocatedsuperiorlyabout3cmonthe
study method of the head meridian acupoint massage is edgeofthethumbjointwhichishorizontallyplacedonthe
introduced.Then,sincetheHRVisabletoreflectthestatus hairline at the midline of the nape of the neck; that is, it is
of autonomic nervous system [18–22], quantitative features directly below the occipital protuberance on the posterior
oftheHRVoftestsubjectsareobservedbeforeandafterthe midlineofthehead.Thisisthemainpointforwind,whether
head meridian acupoint massage. Here the power spectral exteriororinterior,particularlyaffectingtheheadandneck.
analysisoftheHRVdatain5minutesisperformedtopresent
theautonomicnerveactivity[31,32]andtransformedtothe (iv) GB20 (Fengqi). Fengqi acupoint belongs to the gall
important physiological factors: physiological stress index bladder meridian which helps digest food and stores bile
(PSI),verylowfrequency(VLF)power,lowfrequency(LF) produced by the liver. This point is located laterally to the
power, high frequency (HF) power, total power (TP), and sternomastoid and the trapezius muscles in the back below
Evidence-BasedComplementaryandAlternativeMedicine 3
theoccipitalboneandonalevelwiththeearlobeandFengfu. rate variability, some important rules should be obeyed as
Thepointisindicatedforheadaches,heavinessofthehead, follows:
soreness of the eyes and the neck, stiff neck, insomnia,
(i)Removeeverymetalobjectfromthebodybeforethe
and hangovers. This acupuncture point is usually massaged
heartratevariabilityismeasured.
togetherwithEX-HN5.
(ii)Do notwearnailpolish,which mayaffect measure-
(v)GB21(Jianjing).GB21isalsoonthegallbladdermeridian ment.
andisthemeetingpointofthefootTaiyangurinarybladder,
(iii)Avoid medication or stimulating drinks, such as
theDu,andtheYanglinkingmeridians.Thisacupointison
coffee,tea,oralcohol,andavoidhungerorovereating.
themidwaybetweenthespinousprocessofcervicalvertebra
andtheacromionprocessatthehighestpointofthetrapezius (iv)Rest10minutesbeforetesting.
muscle. Massaging this point may effectively relieve a stiff (v)Avoidanymovementwhenthemeasurementistaken
neck,neckpain,andshoulderandbackpain. toavoidinterferingwiththeaccuracy.
Althoughsomeactionsandeffectsoftheseacupuncture
points are claimed in Chinese medicine, scientific analysis The autonomic nervous indices are measured by the
islackedinrelatedresearches.Thus,themassagingeffectto followingprocedure:
autonomic nerve activity will be estimated and analyzed in
(i)Hold the sensory clamp on the left index or middle
thisstudy.
finger.
(ii)Sitproperlybyrestingthebackagainstthechairand
2.2. Experimental Method. The scientific experimental pro-
closetheeyes.
cedureofthemassageanalysisisdescribedinthefollowing.
First, each subject takes a rest before the testing. Then, (iii)Placebothhandsonthelapandrelax.
the physiological data of the autonomic nervous system is (iv)Wait until the EKG wave has been stabilized on the
measuredbeforetheheadmassage.Afterward,themassage screen about 5 minutes and then record the data of
of meridian acupuncture points is performed in turn from theautonomicnerveindices.
EX-HN5, GB20, UB10, and Du16 to GB21 for the subject.
Finally, the physiological data of the autonomic nervous
2.2.3.StepsforHeadMassaging. Thestandardmassagepro-
system is measured again after the massage. The same test
cedureisperformedbystartingfromtheacupuncturepoint
procedurecontinuesforfourweeksforallsubjects.Indetail,
EX-HN5toGB20inthenape,toDu16andUB10onthehead,
theexperimentalsettingandthemassagemethodaregiven
and then to GB21 between the shoulder and the neck. The
below.
detailedprocessisgiveninthefollowingsteps.
2.2.1. Environmental Setting. In our experiments, a quiet Step 1. First, knead EX-HN5 (Taiyang) acupuncture point.
room is chosen as the test site to reduce the environmental The head massage starts from the EX-HN5 acupoint with
affection.Theroomtemperatureismaintainedat26degrees thumbsormiddle-fingersoftwohandsasperthedemonstra-
Celsius. The test is performed at a specific time from 18:00 tionshowninFigure1.Thegestureisclockwiseiterativelyin
to 21:00 in everyday to avoid interference of the heart rate foureight-beats(about1minute).
variabilityforthetimedifference.
Step 2. Slightly massage the top of the scalp by using the
fingertipsofforefinger,middle-finger,ringfinger,andpinky
2.2.2. Measurement of Autonomic Nervous Indices. Since
fingeroftwohandsinfoureight-beats.Knockthetopofthe
the heart rate variability (HRV) is affected by respiration,
scalp by a fixed tempo and a comfortable strength in four
blood vessels, endocrine, and emotions, the measurement
eight-beats.
of heart rate variability can reflect the mutual influence
between the sympathetic nerve, the parasympathetic nerve, Step 3. Knead GB20 (Fengqi) acupuncture point on the
and the cardiac sinus node. This means that we can clarify nape.TheGB20acupuncturepointismassagedbyusingtwo
the balance and the activity of autonomic nerves through thumbsasperthedemonstrationshowninFigure2(a).The
measuring and analyzing the heart rate variability [18–22]. massagegestureisclockwiseiterativelyinfoureight-beats.
Thus, the heart rate variability is measured by a heart rate
variability analyzer, SA-3000P, made by Medicore Co., Ltd. Step4. KneadUB10(Tianzhu)acupuncturepoint.Byusing
[33]. This equipment measures the heart rate variability of the two thumbs and placing the little and index finger
thesubjectinfiveminutes,whilethequantitativevaluesare aroundthecorneroftheeye,UB10isclockwisemassagedin
analyzedbyusingFastFourierTransferandPowerSpectral iterativefoureight-beatsasperthedemonstrationshownin
Density techniques. Then, the autonomic nervous indices Figure2(b). The weight of the head is used to press on the
areobtainedincludingphysiologicalstressindex(PSI),total thumbtomassageUB10.
power(TP),verylowfrequency(VLF)power,lowfrequency
(LF) power, high frequency (HF) power, and LF/HF ratio. Step5. KneadDu16(Fengfu)acupuncturepoint.Byusingthe
These physiological indices are related to emotion and two thumbs, Du16 is clockwisely massaged in iterative four
stress of subjects [8–10]. Before the testing of the heart eight-beatsasperthedemonstrationshowninFigure3(a).
4 Evidence-BasedComplementaryandAlternativeMedicine
(a) (b)
Figure1:EX-HN5(Taiyang)acupuncturepointson(a)leftsideand(b)rightsideofthehead.
(a) (b)
Figure2:(a)GB20(Fengqi)acupuncturepointsonthehead;(b)UB10(Tianzhu)acupuncturepointsonthehead.
Step6. Relaxtheneck.WekneadtheneckfromFengqitothe taking a rest, the status of the autonomic nervous system
shouldersinslightforcestrength.Theactionisiterativefrom isevaluatedbyusingtheheartratevariabilityanalyzer.The
toptodownbyusingthetwothumbsinfoureight-beats. same experimental approach as the above is done one time
perweekandcontinuedforfourweeks.
Step 7. Knead GB21 (Jianjing) acupuncture point on shoul- In this study, total of 45 women with long-term work
ders.GrasptheshouldersbythefingersandpresstheJianjing stress are chosen as the test subjects, who are with the
acupointbythethumb,whileJianjingisclockwiselymassaged averaged40yearsofage(from25to55yearsold).Allsubjects
initerativefoureight-beatsasperthedemonstrationshown arewithoutsymptomsorhistoriesofcardiovascularorother
inFigure3(b). diseases.Todemonstratethestressrelaxingeffect,recruited
participantssatisfythecriterioneitherusuallyfeelingchronic
The massage process is performed by one massagist stress/fatigue or having a large PSI (above 50) before the
who has perfect hand skill. The acupuncture points can be massage.Indeed,theaveragedPSIofthesescreenedsubjects
correctly located, while the massage strength is properly islargerthan50beforetheheadmeridianacupointmassage
controlled.Themassageprocesscostsabout10minutes.After (i.e.,thisfactisshowninSection4).Afteracupuncturepoint
Evidence-BasedComplementaryandAlternativeMedicine 5
(a) (b)
Figure3:(a)Du16(Fengfu)acupuncturepointonthehead;(b)GB21(Jianjing)acupuncturepointsonshoulders.
TP 𝜆
1
+
VLF 𝜆
2 +
z
1
+ AGO−1 PSI
LF 𝜆3
+
Main
factor
HP 𝜆4
Relational
Grey GM(0, N) model
factors
Figure4:TheconfigurationofthegreyGM(0,𝑁)modelfordataanalysis.
massaging experiments applying the above stated method 3.GreyTheoryofDataAnalysis
on all subjects in four weeks, the data obtained from the
measurementoftheheartratevariabilityanalyzerisshownin To further quantize the effect of head massage, this section
Table1.Table1liststhechangesoftheactivityofautonomic applies the grey model GM(0,𝑁) to analyze the measured
nervesbeforeandaftermassageineachweek,whileshowing data of the physiological indices of autonomic nerves. In
significantloweringofthePSIaftermassaging. greysystemtheory,themainfunctionofGM(0,𝑁)modelis
one of the methods to carry out the relationship weighting
Remark. Since the purpose of this study is to analyze the calculationamongthediscretesequencesofmeasureddata.
physiologicalchangesoftheautonomicnervoussystemdue To analyze the relationship of the physiological factors of
totheacupuncturepointmassage,anypossiblefactorswhich the head acupoint massage, the grey model structure is
affect the result should be avoided. Indeed, the subject’s constructedasillustratedinFigure4.Thephysiologicalstress
lifestyle, sleeping patterns, and emotions are required to index (PSI) is taken as the major sequence factor, while
controlinaregularmanner,whileextravagantconsumption the total power (TP), very low frequency (VLF) power,
ofcoffee,tea,food,andmedicationshouldbeavoidedbefore low frequency (LF) power, and high frequency (HF) power
the experiment. On the other hand, the massagist does her are taken as the influencing sequence factors. The grey
best in localizing the acupuncture points and massaging GM(0,𝑁) model will describe the relationship between the
strength,suchthattheresultiscorrect. influencingsequencefactorsandthemajorsequencefactor
6 Evidence-BasedComplementaryandAlternativeMedicine
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r4th40.571381.9473.1359.8549.00.6681.30617.0298.0220.099.02.2253.491169.5518.5402.0249.01.6155.091411.9695.2356.9359.90.9939.591445.8628.8493.0324.01.5274.35854.0353.1265.5235.41.13
e
ft
A
k
e
e
w
re4th52.92949.1315.5292.2341.40.86172.88293.063.093.0137.00.6898.901418.5418.5573.5426.51.3474.881125.6416.1496.7212.92.1761.911981.3596.3813.8571.31.42106.34563.4261.0193.4109.01.77
o
ef
B
k
e
e
er3rdw44.19846.1203.5257.5385.00.67151.82234.023.0179.032.05.5983.183176.51090.01625.0461.53.5267.291450.6238.6630.4581.61.0848.864647.81623.52348.0676.33.47134.66969.6289.8540.5139.43.88
ft
A
k
e
e
w
re3rd56.94861.4398.2201.6261.60.77164.15328.092.0143.093.01.5492.041381.5241.0657.0483.51.36104.201030.3531.1374.4124.73.0055.981981.7315.5914.0752.21.22146.12591.4129.3271.5190.61.42
o
ef
B
d. ek
e e
u w
Contin er2nd48.57771.7220.3318.5232.81.3777.98406.0173.0147.086.01.7155.73717.0245.0218.0254.00.8650.851950.0640.9597.3711.70.8444.61872.5281.0253.5338.00.7572.42483.8191.0164.8128.01.29
1: Aft
e
l
b
a
T
k
e
e
w
re2nd57.61707.0353.1265.988.03.02106.19423.0180.0136.0107.01.2773.561112.5362.0310.0441.50.7086.47648.4331.0178.5138.91.2857.241457.8453.0397.0607.80.6598.03595.7225.5179.5190.60.94
o
ef
B
k
e
e
er1stw40.542029.9649.8853.7576.31.48105.77565.0157.0238.0170.01.4064.001663.0542.0652.0469.01.3931.771413.8406.1559.3448.41.2543.122212.0734.5859.0618.51.3995.33839.5253.3341.5244.81.40
ft
A
k
e
e
w
ore1st50.45818.4313.4211.8293.20.72159.07184.068.045.071.00.63102.34723.0301.0121.5300.50.4039.721010.1343.5380.7286.01.3373.97992.5417.5159.8415.30.38144.89318.8126.364.1128.40.50
ef
B
FactorPSI2TP(ms)2VLF(ms)2LF(ms)2HF(ms)LF/HFPSI2TP(ms)2VLF(ms)2LF(ms)2HF(ms)LF/HFPSI2TP(ms)2VLF(ms)2LF(ms)2HF(ms)LF/HFPSI2TP(ms)2VLF(ms)2LF(ms)2HF(ms)LF/HFPSI2TP(ms)2VLF(ms)2LF(ms)2HF(ms)LF/HFPSI2TP(ms)2VLF(ms)2LF(ms)2HF(ms)LF/HF
ct
e
bj
Su 15 16 17 18 19 20
Evidence-BasedComplementaryandAlternativeMedicine 9
k
e
e
r4thw63.431857.5796.5530.5530.51.0028.332022.0995.0508.0519.00.9850.401731.0832.5559.0339.51.6535.701553.5701.5459.0393.01.17
e
ft
A
k
e
e
w
re4th80.62729.5264.7266.2198.51.3940.371732.5567.0814.5351.02.3267.701560.0343.2521.2695.51.1239.941546.5476.5795.5274.52.90
o
ef
B
k
e
e
w
r3rd68.20654.5155.0287.0212.51.3518.161078.0244.5358.0475.50.7561.831347.0408.5329.0609.50.5417.261567.5389.5505.0673.00.75
e
ft
A
k
e
e
w
re3rd134.09416.5198.5176.042.04.1950.551985.0556.5947.5481.01.97101.182143.01324.0623.5195.53.1952.022242.01299.5725.5217.03.34
o
ef
B
d. ek
e e
u w
Contin er2nd130.79343.567.5127.5148.50.8697.39682.5144.5268.0270.00.9979.26477.5219.5101.5156.50.65123.98432.0202.0100.0130.00.77
1: Aft
e
l
b
a
T
k
e
e
w
re2nd163.49192.567.564.560.51.07101.671656.0508.5863.5284.03.04124.53157.559.545.053.00.85141.91215.590.089.036.52.44
o
ef
B
k
e
e
er1stw37.301016.5383.5259.0374.00.6927.361700.0736.0494.5469.51.0528.821238.0449.0291.0498.00.5826.832672.01074.0944.5653.01.45
ft
A
k
e
e
w
re1st42.70926.5220.0399.0307.51.3031.445259.52949.51939.0371.05.2332.711171.0433.5494.5242.02.0434.131635.0343.5548.0743.00.74
o
ef
B
FactorPSI2TP(ms)2VLF(ms)2LF(ms)2HF(ms)LF/HFPSI2TP(ms)2VLF(ms)2LF(ms)2HF(ms)LF/HFPSI2TP(ms)2VLF(ms)2LF(ms)2HF(ms)LF/HFPSI2TP(ms)2VLF(ms)2LF(ms)2HF(ms)LF/HF
ct
e
bj
Su 21 22 23 24
10 Evidence-BasedComplementaryandAlternativeMedicine
k
e
e
w
r4th42.00857.5263.5182.0412.00.4439.331758.0579.8316.1862.10.3784.15767.0426.5182.5158.01.1625.601861.3532.1440.0889.20.4920.041722.3517.1398.9706.30.56
e
ft
A
k
e
e
w
re4th99.701886.0581.0845.5459.51.8416.851330.5434.5668.0228.02.93143.54474.0163.7166.2144.01.1338.081484.8554.2572.0358.61.8126.032263.5743.6987.0532.91.85
o
ef
B
k
e
e
w
r3rd52.67728.0162.0269.5296.50.9129.651746.2448.8559.9737.40.76132.29334.098.5145.090.51.6021.231911.3328.5710.0872.80.8141.00708.1276.4158.5273.20.58
e
ft
A
k
e
e
w
re3rd84.291598.0478.0819.5300.52.7346.31845.8160.1281.3404.40.70173.70323.0157.5108.556.51.9229.621493.0719.3488.5285.21.7161.35961.9356.5350.9254.51.38
o
ef
B
d. ek
e e
u w
Contin er2nd20.471384.5483.5326.5574.50.5740.301253.1292.5379.3581.30.6582.03397.5129.0138.0130.51.0620.192558.9879.5644.31035.10.6226.432058.5940.6650.7517.11.26
1: Aft
e
l
b
a
T
k
e
e
w
re2nd24.214883.02906.51638.0338.54.8446.281187.8317.2320.8549.80.58126.15278.0108.579.090.50.8735.231309.0646.7303.4358.90.8535.181666.9389.4805.7471.81.71
o
ef
B
k
e
e
er1stw51.901081.5753.5122.5205.50.6036.701477.3536.6447.6493.00.9168.09633.0144.0164.5324.50.5130.581867.0569.3788.2509.51.5525.312718.8760.61063.4894.91.19
ft
A
k
e
e
w
ore1st73.941658.0566.7787.7303.52.2644.61940.4378.5179.3382.60.4797.27367.0122.571.5173.00.4140.601373.5540.6390.2442.70.8828.83937.2247.9235.4454.00.52
ef
B
FactorPSI2TP(ms)2VLF(ms)2LF(ms)2HF(ms)LF/HFPSI2TP(ms)2VLF(ms)2LF(ms)2HF(ms)LF/HFPSI2TP(ms)2VLF(ms)2LF(ms)2HF(ms)LF/HFPSI2TP(ms)2VLF(ms)2LF(ms)2HF(ms)LF/HFPSI2TP(ms)2VLF(ms)2LF(ms)2HF(ms)LF/HF
ct
e
bj
u 5 6 7 8 9
S 2 2 2 2 2