We apply the visibility graph analysis to human heartbeat dynamics by constructing the complex networks of heartbeat interval time series and investigating the statistical properties of the network before and during chi and yoga meditation. The experiment results show that visibility graph analysis can reveal the dynamical changes caused by meditation training manifested as regular heartbeat, which is closely related to the adjustment of autonomous neural system, and visibility graph analysis is effective to evaluate the effect of meditation.

1.
L.
Lacasa
,
B.
Luque
,
F.
Ballesteros
,
J.
Luque
, and
J. C.
Nuño
,
Proc. Natl. Acad. Sci. U.S.A.
105
,
4972
(
2008
).
2.
J.
Zhang
and
M.
Small
,
Phys. Rev. Lett.
96
,
238701
(
2006
).
3.
X.
Xu
,
J.
Zhang
, and
M.
Small
,
Proc. Natl. Acad. Sci. U.S.A.
105
,
19601
(
2008
).
4.
P. Ch.
Ivanov
,
L. A. N.
Amaral
,
A. L.
Goldberger
,
S.
Havlin
,
M. G.
Rosenblum
,
Z.
Struzik
, and
H. E.
Stanley
,
Nature
399
,
461
(
1999
).
5.
P.
Bernaola-Galván
,
P. Ch.
Ivanov
,
L. A.
Nunes Amaral
, and
H.
Eugene Stanley
,
Phys. Rev. Lett.
87
,
168105
(
2001
).
6.
M.
Degli Esposti
,
C.
Farinelli
, and
G.
Menconi
,
Chaos, Solitons Fractals
39
(
3
),
991
999
(
2009
).
7.
R.
Karasik
,
N.
Sapir
,
Y.
Ashkenazy
,
P. Ch.
Ivanov
,
I.
Dvir
,
P.
Lavie
, and
S.
Havlin
,
Phys. Rev. E
66
,
062902
(
2002
).
8.
C.
Bian
,
C.
Qin
,
Q. D. Y.
Ma
, and
Q.
Shen
,
Phys. Rev. E
85
,
021906
(
2012
).
9.
A. L.
Goldberger
,
L. A. N.
Amaral
,
J. M.
Hausdorff
,
P. C.
Ivanov
,
C.-K.
Peng
, and
H. E.
Stanley
,
Proc. Natl. Acad. Sci. U.S.A.
99
,
2466
(
2002
).
10.
M.
Costa
,
A. L.
Goldberger
, and
C.-K.
Peng
,
Phys. Rev. E
71
,
021906
(
2005
).
11.
A.
Bashan
,
R. P.
Bartsch
,
J. W.
Kantelhardt
,
S.
Havlin
, and
P. Ch.
Ivanov
,
Nat. Commun.
3
,
702
(
2012
).
12.
R. P.
Bartsch
,
A. Y.
Schumann
,
J. W.
Kantelhardt
,
T.
Penzel
, and
P. Ch.
Ivanov
,
Proc. Natl. Acad. Sci. U.S.A.
109
(
26
),
10181
10186
(
2012
).
13.
Z.-G.
Shao
,
Appl. Phys. Lett.
96
,
073703
(
2010
).
14.
Z.
Dong
and
X.
Li
,
Appl. Phys. Lett.
96
,
266101
(
2010
).
15.
X.
Li
and
Z.
Dong
,
Phys. Rev. E
84
,
062901
(
2011
).
16.
C.-K.
Peng
,
J. E.
Mietus
,
Y.
Liu
,
G.
Khalsa
,
P. S.
Douglas
,
H.
Benson
, and
A. L.
Goldberger
,
Int. J. Cardiol.
70
,
101
107
(
1999
).
17.
A.
Sarkar
and
P.
Barat
,
Fractals
16
,
199
(
2008
).
18.
R.
Song
,
C.
Bian
, and
Q. D. Y.
Ma
,
Physica A
392
(
8
),
1858
1862
(
2013
).
19.
A. L.
Goldberger
,
L. A. N.
Amaral
,
L.
Glass
,
J. M.
Hausdorff
,
P. Ch.
Ivanov
,
R. G.
Mark
,
J. E.
Mietus
,
G. B.
Moody
,
C.-K.
Peng
, and
H. E.
Stanley
,
Circulation
101
(
23
),
e215
e220
(
2000
).
20.
D.
Cysarz
and
A.
Büssing
,
Eur. J. Appl. Physiol.
95
,
88
95
(
2005
).
21.
A.
Angelone
and
N. A.
Coulter
,
J. Appl. Physiol.
19
,
479
482
(
1964
).
22.
H. S.
Song
and
P. M.
Lehrer
,
Appl. Psychophysiol. Biofeedback
28
,
13
23
(
2003
).
23.
D. T.
Schmitt
and
P. Ch.
Ivanov
,
Am. J. Physiol. Regulatory Integrative Comp. Physiol.
293
,
R1923
R1937
(
2007
).
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