系统科学概论 —— 自组织与动力学案例 1
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系统科学概论 —— 自组织与动力学案例 1. 2012.2. 心脏是如何工作的?. UCLA SCOR in Sudden Cardiac Death (1995-2005). Core A - Computer Alan Garfinkel, PhD Scott Lamp, BS Core B - Laboratory Services & Bio-instrumentation Michael Fishbein, MD Joshua Goldhaber, MD John Parker, BS - PowerPoint PPT PresentationTRANSCRIPT
系统科学概论系统科学概论 ——自组织与动力学案例 ——自组织与动力学案例 11
2012.22012.2
心脏是如何工作的?
Project 1 - Chaos and Cardiac FibrillationProject Leader: Alan Garfinkel, Ph.D.Faculty: Zhilin Qu,PhD Fagen Xie, PhD Boris Kogan, PhD James Weiss, MD Donald Walter,PhD Alan Karma, PhD (Northeastern) Steve Evans, MD (Einstein) Harold Hastings, PhD (Hofstra) Post-docs: Junzhong Yang, PhD Zengru Di, PhD Elizabeth Cherry, PhD Flavio Fenton, PhDGrad students: Drury Woodson Jong Kil
Project 2 - Reentrant Wavefronts in Ventricular Fibrillation
Project Leader: Peng-Sheng Chen MDFaculty: Hrayr S. Karagueuzian, PhD Michael C. Fishbein, MD Lan S. Chen, MD Shien-Fong (Marc) Lin, PhD
Core A - Computer Alan Garfinkel, PhD Scott Lamp, BS
Core B - Laboratory Services & Bio-instrumentation Michael Fishbein, MD Joshua Goldhaber, MD John Parker, BS
Core C - Administrative James Weiss, MD
UCLA SCOR in Sudden Cardiac Death(1995-2005)
Project 3 - Metabolic Regulation of Cellular K BalanceProject Leader: James Weiss, MDFaculty: Scott John, PhD Bernard Ribalet, PhD Paavo Korge, PhDPost-docs: Kalyanam Shivkumar, MD, PhD David Cesario, MD
Post-docs: Chikaya Omichi, MD Shengmei Zhou, MD Moshe Swissa, MD Che-Ming Chang, MD Hideki Hayashi, MD Miguel Valderrabano, MD Ali R. Hamzei, MD Yasushi Miyauchi, MD
Yuji Okuyama, MDAkira Hamabe, MDAngela Park, MDDave Kim, MDBryan Wahl, MDAjay Naik, MDKelly Kim, MD
CARDIAC FIBRILLATION
Ventricular fibrillation• 220,000 sudden deaths annually in U.S.
Atrial fibrillation• 6% of population over age 65• 1/3 of all strokes over age 65• doubled mortality rate
SUDDEN CARDIAC DEATH
VTinitiation
PVC HypothesisCAST
SWORD
VT to VFtransition
?
VFmaintenance
?
The Basic Unit
10 m
Na+
K+
-80 mV
T tubule
Ca2+
T-tubules
myofilaments
T-tubule membrane
Sarcoplasmicreticulum
Ca2+
(80-90%)
Ca2+ (10-20%)
Ca release channel(Ryanodine receptor)
Ca2+
SR Ca ATPase
Ca channel
Extracellular space
3D Confocal Image of T-tubule System
Courtesy of Joy Frank, PhD& Alan Garfinkel, PhDUClA CardiovascularResearch Laboratory
Courtesy of Joy Frank, PhDUCLA CardiovascularResearch Laboratory
Ca
Ca
Ca
DH
PR
s
DHPRRyR
s
RyR
s
SR Ca sto
res
T-tubular membrane
Sarcoplasmicreticulum
Ca2+
(80-90%)
Ca2+ (10-20%)
Ca release channel(Ryanodine receptor)
SR Ca ATPase
Ca channel
3Na+
Na+-Ca2+
ExchangerSL Ca2+-ATPase
Ca2+
Calsequestrin
Na+
Na+
Na+
Na+Na+
Na+
Na+
Na+Na+
Na+
Na+
Na+ = 125 mM
Na+ = 10 mM
K+ = 11 mM
K+ = 125 mM
Ion Channels (Na+, K+, Ca+, etc.)
outside
inside
Hodgkin AL, Huxley AF. A quantitative description of membrane current and its application to conduction and excitation in nerve. J. Physiol. (Lond.) 1952;117:500-544.
-60
-40
-20
0
20
40
20151050
time (ms)
mV
Zeng J, Laurita KR, Rosenbaum DS, Rudy Y. Circ. Res.
77:140-152, (1995)
dVm/dt = -Iionic + Iext)/ Cm
Cardiac Action Potential Model
TIME (msec)
0 100 200 300 400 500 600 700 800 900 1000
-100
-80
-60
-40
-20
0
20
50000 steps in 4.43 seconds
V (
mV
)
2 ms
15 m
A
= Runge-Kutta 4th order, DT = .02 ms
FitzHugh-Nagumo Model: Barkley Dynamics:
du/dt= f(u,v)=u(1-u)[u-(v+b)/a]/, dv/dt=g(u,v)=u-v
b
v= au-b
g(u,v)=0
u
v
20181614121086420
1
0.9
0.8
0.7
0.6
0.5
0.4
0.3
0.2
0.1
0
TIME
x, y
u
v
vanCapelle FJL, Durrer D. Computer simulation of arrhythmias in a network of coupled excitable elements. Circ. Res. 1980;47:454-466.
0
:
)(
Vn
conditionboundaryNeumann
VfII
t
kkion
/ .VDCI
Vmion
.
Plane Wave
Spiral Wave
Spiral Wave Breakup
What Causes The Waves To Break?Traditional Answer: Pre-existing Tissue Heterogeneities
(anatomic or electrophysiological) Slope < 1
1
2
S2
Diastolic Interval
S1
APD
Wavelength Is Also Controlled Dynamically by Electrical Restitution (in the absence of pre-existing heterogeneities)
Electrical Restitution (S1S2 Method)
A
9 cm
Fig.7
S2S1S1
E
0 50 100 150 200
50
100
150
ICa
50%
control
B
AP
D (
ms)
DI (ms)0 50 100 150
0.04
0.05
0.06
ICa
50%
controlC
CV
(cm
/ms)
DI (ms)
D
APD Restitution CV Restitution
THE SLOPE! >1 : + gain amplifier<1 : - gain attentuator
Dynamic Wavebreak:The Role of APD Restitution Steepness
2
3
1
Slope < 1
Slope > 1
Y
X
Y < X
Y X
Steep Slope
Y
Shallow Slope
X
0 200 400 600 800 1000 1200 1400
-80
-40
0
V (
mV
)
t (ms)
0 200 400 600 800 1000 1200 1400
-80
-40
0
V (
mV
)
t (ms)
d
c
a aA B
bb
0 50 1000
50
100
150
c
b
AP
D (
ms)
DI (ms)0 50 100 150
0
50
100
c
b
AP
D (
ms)
DI (ms)
c
d
Body EKGMyocyteChannel
Reduction
Integration
Whole Heart
Current Action potential Electrical wave EKG
Research Approaches for VF
Emergent parameters and properties:APD restitution, CV restitution,
pre-existing heterogeneities, spiral wave, spatiotemporal chaos
Reductionism
ComplexitySelf-organizing behavior
Pattern formationWhat are the global parameters ?
Methodology of 20th Century Physics and Biology
Transcription Factors
MatterLiving OrganismsMacroeconomy
Genome Letters: ‘abcdefghijklmnopqrstuv
xyz’
Molecules (biophysics & Words: ‘cat’, ‘dog’, ‘momm
y’, ‘daddy’ structural biology)
Organelles Sentences: ‘We, the people of the .… ….the United States of America.’
Cells Paragraphs:‘It was the best of times, it was….. Thus did the year one ….’
Organs Chapters: Chapter 1. ‘Call me Is
mael…’
Living organisms Books: War and Peace by Leo Tolst
oy
Genomic Biology in the 21st Century
What is life?21st Century Complex Systems Scien
ceAnswer as yet unknown, but approachable
The four greatest questions pondered ever since the dawn of human civilization:
What’s for dinner? Will she go out on a date with me?
What is nature?20th Century PhysicsM theory – the 11-dimensional universe that
explains everything, but is beyond the scope of experimental verification (requires big bang conditions)