Фазовые и триггерные волны в синоатриальном узле

Computer simulation of
reentrant activity in SAN
Syunyaev R.A., Aliev R. R.
Moscow Institute of Physics and Technology, Institute of
Theoretical and Experimental Biophysics RAS, Federal
Biomedical Agency.
1
Sinoatrial node
2
Reentrant activity in SAN?
The model of SAN electrical activity
 Cm
dV
i
Na
dt
 iCa ,L  iCa ,T  i f  iK ,r  iK ,s  ito  isus  iK , ACh  ib ,Na  ib ,Ca  ib ,K  iNaK  iNaCa  i p ,Ca  igap
iNa – sodium current,
iCa,T, iCa,L – calcium Т- and L-type
currents,
if – funny current,
ib,Na, ib,Ca, ib,K – background currents,
iK,r, iK,s – rapid and slow potassium
inner rectifier currents,
ito, isus – 4-AP sensitive
currents,
iK,АCh – Ach-activated
current,
iNaK – Na-K pump,
iNaCa – Na-Ca exchanger,
ip,Ca – calcium pump.


gi – gap junctions conductivity,
 I i  gi (  ij )(V  Vi ((C ))
α – воротные переменные,

d   (V , C , p )


Vi – Nernst potential,
dt

(
V
,
C
,
p
)

Сo,Ci – intrra- and extracellular ionic

RT Co
concentrations.
Vi 
ln( )

zF
Ci

Р.Р. Алиев «Концептуальные и детальные модели электрической
активности миокарда», 2012, ISBN:978-3-8465-3943-9
6
Модель клеток СУ, связанных
щелевыми контактами
•15 ion currents.
•Sarcoplasmic reticulum.
•Intracellular homeostasis (Na, K, Ca ions).
•Difference between central and peripheral cels.
7
Phase and trigger waves
k   
k=0.72 mm-1
2

k=3.2 mm-1
8
Syunyaev R.A., Aliev R.R. «Action potential propagation and phase dynamics in the sinoatrial
node.» Russian Journal of Numerical Analysis and Mathematical Modelling, 27(5), 493-506, 2012.
Dispersion curves
Central cells
Peripherial cells
9
Syunyaev R.A., Aliev R.R. «Action potential propagation and phase dynamics in the sinoatrial
node.» Russian Journal of Numerical Analysis and Mathematical Modelling, 27(5), 493-506, 2012.
Reentant activity in SAN (model)
R. A SYUNYAEV, R. R. ALIEV «Computer simulation of 3D electrical activity in the sinoatrial node»,
Russian Journal of Numerical Analysis and Mathematical Modelling, Vol. 26, No.6, pp. 575-587 (2011).
10
11
SAN reentrant activity
(experiment)
Glukhov et. Al., «Sinoatrial Node Reentry in a Canine Chronic Left Ventricular Infarct Model:
The Role of Intranodal Fibrosis and Heterogeneity of Refractoriness», Circulation 2013
Oct;6(5):984-94.
SAN+atrium reentry
0.3 s
1.5 s
3.1 s
4.2 s
Computer simulation of
microreentry
in
the
sinoatrial
node.
Biophysics, 57(5),
676-680, 2012.
Tissue size: 250x250 cells
12
Period of oscillations
14
ACh effect on reentry
Computer simulation of microreentry in the sinoatrial node. Biophysics, 57(5),
676-680, 2012.
Geometry from: Dobrzynsky et.al., Computer three-dimensional reconstruction of
the sinoatrial node. Circulation. 2005 Feb 22;111(7):846-54.
15