Circulation. 1995;92:164-174
(Circulation. 1995;92:164-174.)
© 1995 American Heart Association, Inc.
Characterization of Inwardly Rectifying K+ Channel in Human Cardiac Myocytes
Alterations in Channel Behavior in Myocytes Isolated From Patients With Idiopathic Dilated Cardiomyopathy
Shin-ichi Koumi, MD, PhD;
Carl L. Backer, MD;
Carl E. Arentzen, MD
From the Division of Cardiology (S.-i.K.), Department of Medicine, and
the Feinberg Cardiovascular Research Institute; and the Department of Surgery
(C.L.B., C.E.A.), Northwestern University School of Medicine, Chicago,
Ill.
Correspondence to Shin-ichi Koumi, MD, PhD, Department of Medicine,
Hazaki Saiseikai Hospital, 8968 Hazaki, Kashimagun, Ibaragi 314-04,
Japan.
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Abstract
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Background Little is known about the characteristics of the
inwardly
rectifying K
+ channel (
IK1)
and the influence of preexisting
heart disease on the channel
properties in the human heart.
Methods and Results We studied the characteristics of cardiac
IK1 in freshly isolated adult human atrial and
ventricular myocytes by using the patch-clamp technique.
Specimens were obtained from the atria and ventricles of 48 patients
undergoing cardiac surgery or transplantation and from four explanted
donor hearts. The action potential in ventricular myocytes
exhibited a longer duration (391.4±30.2 milliseconds at 90%
repolarization, n=10) than in atrium (289.4±23.0 milliseconds,
n=18,
P<.001) and had a fast late repolarization phase (phase 3).
The final phase of repolarization in ventricle was frequency
independent. Whole-cell IK1 in ventricle
exhibited greater slope conductance (84.0±7.9 nS at the reversal
potential, EK; n=27) than in atrium (9.7±1.2 nS at
EK; n=8, P<.001). The steady-state
current-voltage (I-V) relation in ventricular
IK1 demonstrated inward rectification with a
region of negative slope. This negative slope region was not prominent
in atrial IK1. The macroscopic currents were
blocked by Ba2+ and Cs+. The channel
characteristics in ventricular myocytes from patients with
congestive heart failure after idiopathic dilated
cardiomyopathy (DCM) exhibited distinct properties
compared with those from patients with ischemic
cardiomyopathy (ICM). The action potential in
ventricular myocytes from patients with DCM had a longer
duration (490.8±24.5 milliseconds, n=11) compared with that for
ICM
(420.6±29.6 milliseconds, n=11, P<.01) and had a
slow
repolarization phase (phase 3) with a low resting membrane potential.
The whole-cell current slope conductance for DCM was smaller (41.2±9.0
nS at EK, n=7) than that for ICM (80.7±17.0 nS,
n=6, P<.05). In single-channel recordings from
cell-attached patches, ventricular
IK1 channels had characteristics similar to
those of atrial IK1; channel openings occurred
in long-lasting bursts with similar conductance and gating kinetics. In
contrast, the percent of patches in which IK1
channels were found was 34.7% (25 of 72) of patches in atrium and
88.6% (31 of 35) of patches in ventricle. Single
IK1 channel activity for DCM exhibited frequent
long-lasting bursts separated by brief interburst intervals at every
holding voltage with the open probability displaying little voltage
sensitivity (
0.6). Channel activity was observed in 56.2% (18 of
32) of patches for DCM and 77.4% (24 of 31) of patches for ICM.
Similar results were obtained from atrial IK1
channels for DCM. In addition, channel characteristics were not
significantly different between ICM and explanted donor hearts
(donors). IK1 channels in cat and guinea pig had
characteristics virtually similar to those of humans, with the
exception of lower open probability than that in humans.
Conclusions These results suggest that the
electrophysiological characteristics of human
atrial and ventricular IK1 channels
were similar to those of other mammalian hearts, with the possible
exception that the channel open probability in humans may be higher,
that the whole-cell IK1 density is higher in
human ventricle than in atrium, and that IK1
channels in patients with DCM exhibited
electrophysiological properties distinct from
IK1 channels found in patients with ICM and in
donors.
Key Words: potassium myocytes cardiomyopathy
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Introduction
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Cardiac inwardly rectifying
K
+ channel current (
IK1) has been
studied
by using several voltage-clamp
methods.
1 2 3 These
early studies
confirmed that
IK1 plays a
critical role in maintenance of the
resting membrane potential
and the rapid repolarization process
of cardiac action potentials. More
recently, the use of patch-clamp
techniques in single-cell preparations
has allowed the direct
observation of
IK1 and
demonstrated the time- and voltage-dependent
kinetics of macroscopic
and unitary
IK1 channels in guinea
pig,
4 5 rabbit,
6 rat,
7 and
cat
8 ventricular myocytes. Although
there are
several differences in the macroscopic and single-channel
IK1 currents in the ventricular
myocytes of these mammalian species,
their basic characteristics are
similar.
These
4 5 6 7 8
and
other studies
9 10 11 have
defined the fundamental characteristics
of mammalian cardiac
IK1 channels.
We demonstrated that the characteristics of the sodium current
(INa) in isolated human atrial and
ventricular myocytes are similar to those of other
mammalian species and that INa kinetics are
identical in several different disease states.12 13
Another study from our laboratory involving 137 isolated myocytes from
77 patients indicated that INa kinetics in
atrium and ventricle were essentially identical.14 Calcium
current (ICa) in human atrial and
ventricular myocytes also appears to be similar to that in
other species.15 16 In contrast, much less is known
about
IK1 channel characteristics and kinetic
properties in the human heart.17 18 In the present
study, we addressed several fundamental questions concerning the human
cardiac IK1 channel: Does the human
ventricular IK1 channel display
characteristics similar to those of other mammalian species? Do
different preexisting heart diseases modify IK1
channel properties? If so, how do the disease-modified channels behave?
To answer these questions, we characterized the action potential,
whole-cell, and unitary currents through IK1
channels in freshly isolated adult human atrial and
ventricular myocytes; compared the behaviors of
IK1 channels in different preexisting heart
diseases; and compared IK1 channel
characteristics in human ventricle with those in cat and guinea pig
ventricle.
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Methods
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Human Cardiac Specimens
Atrial and ventricular specimens were
obtained from
14 transplanted
adult human hearts (4 donors and 10 recipients) and
from 38
additional patients (mean age, 49±17 years) undergoing
cardiac
surgery. The National Institutes of Health guidelines
for
experimentation using human tissues and the institutional
guidelines
for human subject research were followed in obtaining
surgical
specimens. All patients gave written, informed consent
before the
operation. Table 1

describes the characteristics
of the
patient population. No cardioactive drugs were given
during the 48
hours before surgery. All heart transplant recipients
had terminal
heart failure (New York Heart Association functional
class IV) after
idiopathic dilated cardiomyopathy ([DCM] mean
age,
48±14 years) or ischemic
cardiomyopathy ([ICM] mean age,
55±12 years) due
to coronary artery disease; cardiac
index was 2.0±0.5
L · min
-1 · m
-2 (n=5)
for
DCM and
2.1±0.4 L · min
-1 · m
-2
(n=5) for
ICM,
and ejection fraction was 20±6% (n=5) for DCM and
22±6%
(n=5)
for ICM. These values were not statistically different
(
P=NS)
between DCM and ICM. Three patients with
valvular heart disease
(VHD) and four patients with
ischemic heart disease (IHD) displayed
no significant
ventricular dysfunction (nonfailing); cardiac
index was
3.8±0.4 L · min
-1 · m
-2
(n=7),
and
ejection fraction was 64±5% (n=7).
Immediately after
specimens were removed from the patients, they were
placed in a chilled solution and transported to the laboratory; the
cell isolation procedure was begun within 1 hour.
Cell Preparation
Human atrial myocytes were isolated by an
enzymatic dissociation
method identical to that we described previously.12
Briefly, specimens were minced using a fine razor and washed three
times, 7 minutes each time, in oxygenated
Ca2+-free Tyrode's solution. The minced tissue was
then incubated in oxygenated Ca2+-free
Tyrode's solution containing 300 to 350 U/mL collagenase
(Type V, Sigma Chemical Co), 0.5 U/mL protease (Type XXIV, Sigma), and
1 mg/mL of bovine serum albumin (Sigma) at 37°C and then
gently stirred with a magnetic stirring bar to release isolated
myocytes from the minced tissue (
40 minutes). The minced tissue was
then strained through a 200-µm nylon mesh to remove undigested tissue
and to harvest the individual myocytes. Myocytes were stored at room
temperature in a modified KB medium.19 The residual
nondigested tissue was then reincubated in enzyme-containing solution
for an additional 10 minutes, and isolated myocytes were again
harvested in a similar manner. This process was repeated until viable
myocytes could no longer be obtained.
Human ventricular myocytes were
isolated by an enzymatic
dissociation method. The isolation was accomplished with a
Langendorff-type apparatus for coronary artery
perfusion. If the available coronary artery was not suitable
for cannulation, the tissue was perfused with a method we have
described previously in which a hypodermic needle is used to infiltrate
the tissues.20 Ventricular specimens were
trimmed to
1 cm3 using fine scissors and then
infiltrated with Ca2+-free Tyrode's solution with a
25-gauge surgical needle. Perfusion with 20 mL
Ca2+-free Tyrode's solution (1 mL/min) was followed
by perfusion with Ca2+-free Tyrode's solution
containing 125 U/mL collagenase (Sigma, Type V) and 1 mg/mL
bovine serum albumin (Sigma) for 20 to 30 minutes (1 mL/min).
The perfusate was bubbled with 100% O2 and warmed to
37°C. The specimen was then minced with fine scissors in the same
enzyme solution. When ventricular specimens were very
small, the isolation method similar to that for atrium was used.
Isolated cells were separated from the minced tissue by gravity
filtration through 200-µm nylon mesh and were stored in a modified KB
solution at room temperature. Only Ca2+-tolerant,
clearly striated, rod-shaped cells without any blebs were studied.
IK1 channel characteristics did not differ
regardless of whether the coronary artery perfusion or the
needle infiltration procedure was used.
Cat ventricular myocytes were
isolated using a previously
described modification of the method of Silver et al.21
Adult cats of either sex were anesthetized with pentobarbitone
(24 mg/kg IV). The heart was excised, and the coronary arteries
were retrogradely perfused after cannulation of the aorta. After 2 to 3
minutes of perfusion with a Ca2+-free
Krebs-Henseleit buffer solution (KHB), the heart was perfused with KHB
containing 0.15% collagenase (Type II, Worthington). After
30 to 40 minutes, perfusion was stopped. Ventricular tissue
was then minced and incubated in a shaker bath for 5 to 10 minutes in
collagenase-containing solution. The remaining tissue
pieces were removed by filtering, and cells were washed free of
collagenase and stored in KHB containing 1%
albumin and 1 mmol/L Ca2+.
Guinea pig ventricular
myocytes were isolated by an
enzymatic dissociation method similar to that described previously by
Mitra and Morad.22 Guinea pigs of either sex weighing 150
to 200 g were anesthetized with sodium pentobarbital (60 mg
IP), and the heart was quickly excised and placed in a petri dish
filled with normal Tyrode's solution. The aorta was then cannulated,
and the heart was mounted in a Langendorff-type apparatus.
Retrograde aortic perfusion of the coronary bed was initiated
with Ca2+-free Tyrode's solution for 5 minutes
under a hydrostatic pressure of approximately 100 cm H2O.
The heart was then perfused with Ca2+-free Tyrode's
solution containing 1.5 mg/mL collagenase (Type I, Sigma),
1 mg/mL bovine serum albumin (Sigma), and 1 mg/mL protease
(Type XIV, Sigma) for 3 to 4 minutes, after which the
collagenase was washed out by perfusion with KB solution
(50 mL). All perfusates were bubbled with 100% O2 and
warmed to 37°C. After the collagenase had been washed
out, the heart was gently agitated in KB solution. Next, the heart was
minced with fine scissors, and isolated cells were harvested through a
nylon mesh (200 µm).
Solutions
The transport solution for human specimens
contained (in
mmol/L): NaCl 27, KCl 20, MgCl2 1.5, HEPES 5, and glucose
274 (pH 7.0). The control Tyrode's solution contained (in mmol/L):
NaCl 140, KCl 5.4, CaCl2 1.8, MgCl2 0.5, HEPES
5.0, and glucose 5, with pH adjusted to 7.4 with NaOH.
Ca2+-free Tyrode's solution was made by omitting
CaCl2 from the normal Tyrode's solution.
Cl--free external solution contained (in mmol/L): sodium
glutamate 140, potassium glutamate 5.4, CaSO4 1.8,
MgSO4 0.5, HEPES 5.0, and glucose 5 (pH 7.4 with NaOH). The
modified KB solution contained (in mmol/L): KCl 25,
KH2PO4 10, KOH 116, glutamic acid 80, taurine
10, oxalic acid 14, HEPES 10, and glucose 11 (pH 7.0 with KOH).
Ca2+-free KHB solution contained (in mmol/L): NaCl
130, KCl 4.8, MgSO4 1.2, NaH2PO4
1.2, NaHCO3 25.0, and glucose 12.5 (pH 7.4). The internal
solution used for whole-cell recording contained (in mmol/L):
potassium aspartate 120, KCl 20, KH2PO4 1.0,
MgCl2 1.0, Na2+-ATP 5.0, EGTA 5.0, and
HEPES 5.0 (pH 7.2 with KOH). The Cl--free pipette solution
contained (in mmol/L): potassium glutamate 140,
KH2PO4 1.0, MgSO4 1.0,
Na2+-ATP 5.0, EGTA 5.0, and HEPES 5.0 (pH 7.2 with
KOH). The pipette solution used for single-channel recording
contained (in mmol/L): KCl 150 and HEPES 5.0 (pH 7.4 with KOH). Normal
Tyrode's solution was used as external solution for both whole-cell
and single-channel recording.
Electrical Recordings and Data Analysis
Whole-cell and
single-channel currents were recorded using
the patch-clamp technique,23 with an amplifier and head
stage designed by M. Yoshii.24 The feedback resistance of
the head stage was 100 M
(for recording whole-cell currents) and
10 G
(for recording single-channel currents). Electrodes
fabricated from 1.0-mm-OD glass capillary tubes (Kimax-51, Kimble
Products) using a programmable horizontal micropipette puller
(model P-87, Flaming/Brown, Sutter Instrument Co) had tip resistances
of 1.5 to 2.5 M
(for recording whole-cell currents) and 10.0
M
(for recording single-channel currents). Seal resistances were
10 to 100 G
(for recording single-channel currents).
For
whole-cell recording, the series resistance attributed to the
pipette tip and the cell interior was compensated by summing a fraction
of the converted current signal to the command potential and feeding it
to the positive input of the operational amplifier. Series resistance
was compensated to minimize the time course of the capacitative surge;
the capacitative transient remaining after series resistance
compensation was constant throughout the experiments. The cell
capacitance (Cm) was calculated from the following
equation: Cm=Q/V, where Q is total charge movement
determined by integrating the area defined by the capacitative
transient in response to +10-mV voltage step (holding potential of
-40
mV). The mean cell capacitance was 72.6±12.5 pF (n=26) in human
atrial
myocytes and 114.8±17.9 pF (n=30) in human ventricular
myocytes. The output of the voltage-clamp amplifier was adjusted to
give zero current when the tip of the patch pipette (filled with
internal solution) was immersed in the bath containing Tyrode's
solution. This caused a voltage bias of 7±2 mV positive to what the
voltage would have been had the electrode been zeroed in a grounded
puddle of internal solution. This bias was not corrected. Voltage-clamp
steps of 300-millisecond duration ranging between -120 and +40 mV
were
applied from a holding potential of -40 mV. The whole-cell membrane
currents were filtered at 10 kHz with a two-pole active filter,
digitized at a sampling rate of 40 kHz, and stored on the Winchester
drive of an LSI 11/73 computer (Digital Equipment Corp) for subsequent
analysis. Action potentials were measured by the whole-cell
current-clamp mode. Current-voltage (I-V) relations were obtained using
ramp voltage-clamp pulses applied from a holding potential of -120 to
+40 mV at a rate of 100 mV/s. Current obtained within the first 5 mV
after the onset of the ramp was not analyzed because of the
contamination of the capacitative transient of the membrane.
Single-channel currents were monitored with a digital oscilloscope
(7101A, Kikusui), collected with an AD converter, and stored
continuously on videotape using a PCM converter recording system
(Unitrade). The recorded signals were reproduced and filtered
off-line with a cutoff frequency of 2 to 5 kHz through an eight-pole
low-pass Bessel filter (48 dB per octave; model 902-LPF, Frequency
Devices, Inc), digitized with 14-bit resolution at a sample rate of 10
kHz, and stored on an LSI 11/73 computer. The data were
analyzed using algorithms developed in-house that are based on
the half-amplitude threshold analysis method of Colquhoun and
Sigworth.25 Channel transitions were calculated using an
averaging technique for determining channel amplitude. The measurements
derived from the channel transitions were collected into histograms to
allow an analysis of the single-channel kinetics. Dwell times
were determined from the sum of exponential fits to the distributions
of open and closed times recorded from patches with only one
channel. Dwell time histograms were constructed from experiments using
150 mmol/L K+ internal and external solutions. The external
solution was maintained at 37°C using a Peltier thermoelectric device
during action potential measurements. All other experiments were
performed at room temperature (20° to 22°C).
Statistical Analysis
Results are expressed as mean±SD.
Statistical analyses
were performed using Student's t test or one-way ANOVA only
when the data were suited for parametric tests as judged by normality
and equal variance tests. When the data were not suitable for
parametric tests, a Mann-Whitney rank sum test (Wilcoxon rank sum test)
or a Kruskal-Wallis ANOVA on ranks were used. To consider the
interpatient and intrapatient variabilities, each data comparison was
also evaluated using a two-way ANOVA. In addition, an ANCOVA was used
to determine the influence of age and sex in each comparison, unless
otherwise stated. A nonparametric procedure in
STATISTICAL ANALYSIS SYSTEM (SAS Institute Inc)
on an NeXT computer (NeXT Computer, Inc) was used for these
analyses. Results were considered to be significant when
P<.05.
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Results
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Action Potentials of Human Atrial and Ventricular
Myocytes
Fig 1

shows examples of action potentials in
human
atrial and
ventricular myocytes. The atrial myocyte was
isolated from an
explanted donor heart (donor), and the
ventricular myocyte was
isolated from a patient with VHD
without ventricular dysfunction.
The shape of the action
potentials in human cardiac myocytes
was similar to those reported
previously for other mammalian
atrial and ventricular
myocytes.
26 27 Table 2

summarizes the
action
potential parameters in atrial and
ventricular myocytes. The
height and duration of the action
potential in ventricle were
significantly greater than those in atrium.
In addition, the
action potential in ventricle had a faster late
repolarization
phase (phase 3) than that in atrium, suggesting that the
background
IK1 plays a significant role in
ventricle.

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Figure 1. Tracings of action potentials in human atrial and
ventricular myocytes. A, Representative
action potential recorded from a human atrial myocyte isolated from
donor using the current-clamp mode at 37°C. Action potential duration
at 90% repolarization was 268.7 milliseconds. Height of the action
potential was 85.7 mV. B, Action potential recorded from a human
ventricular myocyte isolated from a patient with
valvular heart disease without heart failure under the same
conditions as for A. Action potential duration at 90% repolarization
was 391.2 milliseconds. Height of the action potential was 101.4
mV.
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Fig 2
shows the effects of cycle length on
action
potential characteristics in atrial and ventricular
myocytes. The relations among preceding cycle length, action potential
duration, and the final phase of repolarization were investigated.
Action potential duration of both atrial (Fig 2A
) and
ventricular (Fig 2B
) myocytes shortened as cycle length was
reduced. Action potential duration measured at 90% repolarization was
289.4±23.0 milliseconds (n=18) at the cycle length of 1000
milliseconds and 214.5±20.7 milliseconds (n=11) at the cycle
length of
500 milliseconds (P<.001) in atrial myocytes, and
391.4±30.2 milliseconds (n=10) at the cycle length of 1000
milliseconds and 289.3±27.0 milliseconds (n=8) at the cycle
length of
500 milliseconds (P<.001) in ventricular
myocytes. In contrast, the final phase of repolarization was frequency
independent in both cell types. These results suggest that the final
repolarization phase of the action potential appears to be dependent on
IK1 in both atrial and ventricular
myocytes.

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Figure 2. Tracings of interrelationships among cycle length
(CL), action potential duration, and characteristics of the final phase
of repolarization in human atrial and ventricular myocytes.
A, Effects of changing the stimulation rate on action potential
characteristics in an isolated atrial myocyte. Myocyte was stimulated
at selected CL as shown. B, Effects of changing the stimulation rate on
action potential characteristics in an isolated ventricular
myocyte. Same pulse protocol as A. Time and voltage calibrations are
shown on right.
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Characteristics of Whole-Cell IK1 in Human
Atrial and Ventricular Myocytes
Whole-cell atrial and ventricular
IK1 currents were measured with 300-millisecond
hyperpolarizing and depolarizing voltage steps from a holding potential
of -40 mV. Fig 3
illustrates the characteristics of
whole-cell IK1 currents in human atrial myocytes
isolated from a donor and in ventricular myocytes isolated
from a patient VHD without ventricular dysfunction.
Currents were recorded in the presence of 10 µmol/L tetrodotoxin
(TTX) and 5 µmol/L nifedipine in the external solution to
block INa and ICa,
respectively. In addition, to eliminate the contamination of the
Cl-current (ICl)28 and
the fast delayed rectifier current of the 1.5-kV
type29 30
in atrium, Cl--free external solution containing
4-aminopyridine ([4-AP] 2 mmol/L) and Cl--free
internal
solution were used during recording of atrial
IK1. Atrial IK1 exhibited
small currents that developed in response to
hyperpolarization and depolarization (Fig 3A
). The
average I-V relation was measured at the end of each test pulse (steady
state), and data were plotted after normalizing to membrane capacitance
(n=10, Fig 3B
). Although the I-V relation exhibited weak
inward
rectification, a negative slope region was not prominent in atrial
IK1. In contrast, ventricular
IK1 exhibited large inward currents at test
voltages negative to -80 mV (Fig 3C
). The average slope
conductance in
ventricle was significantly greater (84.0±7.9 nS at the reversal
potential, EK; n=27) than that in atrium (9.7±1.2 nS
at
EK; n=8, P<.001). Outward currents were
observed at test voltages positive to -70 mV. The averaged I-V plot
exhibited inward rectification and displayed a clearly evident negative
slope region at potentials between -40 and +20 mV (n=10, Fig
3D
).
These results suggest that IK1 in ventricle
would provide a greater contribution to the action potential than that
in atrium. These differences in whole-cell current properties are
consistent with those obtained in action potential
measurements; the ventricular action potential exhibited
faster late repolarization phase.

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Figure 3. Whole-cell IK1 in human
atrial and ventricular myocytes. A,
Representative whole-cell IK1
current traces in isolated atrial myocytes from donor hearts
recorded in normal Tyrode's solution. Test pulses (TP) were
applied for 300 milliseconds from a holding potential of -40 mV to
potentials ranging from -120 mV to +40 mV in 10-mV steps.
Recordings were obtained 10 minutes after obtaining intracellular
access. Tetrodotoxin (10 µmol/L), nifedipine (5
µmol/L), and 4-aminopyridine (2 mmol/L) were present in the
Cl--free external solution, which was used for the pipette
solution. B, Plot of average steady-state current-voltage (I-V)
relation measured at the end of test pulse and expressed as mean±SD
(n=8) after normalization to membrane capacitance. C,
Representative whole-cell IK1
current traces in isolated ventricular myocytes from
patients with valvular heart disease without
ventricular dysfunction, recorded in normal Tyrode's
solution. Tetrodotoxin (10 µmol/L) and nifedipine (5
µmol/L) were present in the external solution. D, Plot of average
steady-state I-V relation (n=14). Current normalized to membrane
capacitance was larger than for atrium at every voltage, and the I-V
relation revealed a negative slope region between -40 and +10 mV.
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Ba2+ and
Cs+ blockades of
IK1 in atrial and ventricular
myocytes were also studied. Fig 4A
shows the whole-cell
I-V relations obtained during reperfusion with Ba2+
(1 mmol/L) and Cs+ (10 mmol/L) in atrial myocytes.
Voltage-clamp ramps were applied from a holding potential of -120 to
+40 mV at a rate of 100 mV/s. TTX (10 µmol/L), nifedipine
(5 µmol/L), and 4-AP (2 mmol/L) were added to the
Cl--free external solution. Application of
Ba2+ (1 mmol/L, top) and Cs+ (10 mmol/L,
bottom) reverse inhibited atrial IK1. The insets
show examples of whole-cell current families recorded during
superfusion with Ba2+ (top) and Cs+
(bottom). Similar results were obtained in six of six cells. Fig
4B
illustrates the effects of Ba2+ (1 mmol/L) and
Cs+ (10 mmol/L) on IK1 in
ventricular myocytes. Similar to atrial
IK1, Ba2+ (1 mmol/L,
top) and Cs+ (10 mmol/L, bottom) reverse inhibited
ventricular IK1.

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Figure 4. Effects of Ba2+ and
Cs+ on human atrial and ventricular
IK1. A, Effect of Ba2+ (1
mmol/L, top) and Cs+ (10 mmol/L, bottom) on the
current-voltage (I-V) relations measured by ramp voltage-clamp in
isolated atrial myocytes. Cl--free internal and external
solutions were used. Tetrodotoxin (10 µmol/L), nifedipine
(5 µmol/L), and 4-aminopyridine (2 mmol/L) were included in the
external solution. I-V relations for the membrane currents were
measured during the control period (circle), exposure to
Ba2+ (top, square), and Cs+ (bottom,
square) and after washout (triangle). Family of whole-cell currents
obtained during superfusion with Ba2+ and
Cs+ is shown in inset of each panel. Test pulses
(300-millisecond duration) were delivered to potentials ranging from
-120 to +40 mV in 10-mV steps from a holding potential of -40
mV. B,
Effect of Ba2+ (1 mmol/L, top) and Cs+
(10 mmol/L, bottom) on I-V relations measured by ramp voltage-clamp in
isolated ventricular myocytes. Same protocol as in A.
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Alterations in IK1 Channel Characteristics
in Myocytes From Patients With IDC
To address the question of whether
preexisting heart disease can
affect IK1 channel properties, we characterized
the IK1 channel in myocytes isolated from
patients with congestive heart failure after DCM and compared their
characteristics with those in myocytes from patients with congestive
heart failure after ICM.
Fig 5
shows action potentials
and whole-cell currents
in ventricular myocytes isolated from patients with ICM or
DCM. The resting membrane potential was depolarized for DCM
(-66.9±4.0 mV, n=12) compared with that for ICM
(-72.1±4.7 mV,
n=12, P<.05). The resting membrane potential for ICM was
also more depolarized than that for VHD (-74.0±4.2 mV,
n=14), but
they did not differ statistically (P=NS). Action potential
duration at 90% repolarization was 420.6±29.6 milliseconds
(n=11) for
ICM and 490.8±24.5 milliseconds (n=11) for DCM. Although the
action
potential duration for ICM appeared to be prolonged compared with that
for VHD without ventricular dysfunction (391.4±30.2, n=9),
the value did not achieve statistical significance (P=NS).
In contrast, the action potential duration for DCM was significantly
longer than that for ICM and VHD (P<.01). The late
repolarization phase (phase 3) for DCM was slower than that for ICM
(Fig 5A
). Figure 5B
shows examples of whole-cell
IK1 in ventricular myocytes isolated
from patients with ICM or DCM recorded under conditions similar to
those of Fig 3
. The whole-cell current slope conductance at
EK for DCM was smaller (41.2±9.0 nS, n=7) than that
for
ICM (80.7±17.0 nS, n=6, P<.05). In contrast, the
whole-cell conductance did not differ significantly between ICM and VHD
(P=NS, not shown).

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Figure 5. Characteristics of the action potential and
whole-cell IK1 in ventricular
myocytes isolated from patients with ischemic
cardiomyopathy (ICM) and idiopathic dilated
cardiomyopathy (DCM). A,
Representative action potentials recorded in
ventricular myocytes from patients with ICM and DCM using
the whole-cell current-clamp mode at 37°C. Action potential duration
for ICM was slightly prolonged compared with that for valvular
heart disease without ventricular dysfunction (see Fig 1B ).
Action potential duration for DCM was prolonged and the late
repolarization was slowed compared with ICM. B,
Representative whole-cell current recorded in
ventricular myocytes from patients with ICM and DCM. Test
pulse was applied for 300 milliseconds from a holding potential of -40
mV to the test potential of -120 mV. Current magnitude for DCM was
smaller than that for ICM. C, Averaged current-voltage (I-V) relations
in ventricular myocytes frompatients with ICM (circles,
n=6) and DCM (squares, n=7).
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Characteristics of Single IK1 Channel in
Human Atrial and Ventricular Myocytes
To gain further insights into
the differences of the action
potential and the whole-cell IK1 between atrium
and ventricle, we studied the characteristics of single
IK1 channels in cell-attached patches. Fig
6
gives examples of individual channel activities in
atrial (Fig 6A
) and ventricular (Fig 6B
)
myocytes. Each
patch contained only one channel. Channel openings occurred in
long-lasting bursts separated by variable interburst intervals at
all voltages. By applying more negative holding potentials, we
increased unitary amplitude, whereas the duration of individual
open events decreased, causing an increase in the fluctuation rate
between the open and closed states. Current traces became flat at
around resting membrane potential of +80 mV, which was the estimated
EK (see "Discussion"). The I-V relations of atrial
and ventricular IK1 were almost
linear in the voltage range between resting membrane potential of -40
mV and +40 mV. No outward currents could be detected at potentials
positive to EK through either atrial and
ventricular IK1 channels, indicating
inward rectification (Fig 6C
). The slope conductances of the
channels
were 27±2 pS (n=20) for atrial IK1 channels
and
28±2 pS (n=15) for ventricular IK1
channels (P=NS).

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Figure 6. Conductance characteristics of single
IK1 channels in human atrial and
ventricular myocytes in cell-attached patches. A,
Cell-attached patch recordings showing IK1
channel activity at different holding potentials in an isolated atrial
myocyte from donor heart. Holding potential is expressed as the voltage
deviation from the resting membrane potential and is indicated to the
left of each current trace. Current was low pass filtered at 2 kHz.
Dotted line indicates the baseline level (zero current, closed
channel). B, Example of IK1 channel activity in
an isolated ventricular myocyte from patients with
valvular heart disease without ventricular
dysfunction recorded under the same conditions as in A. No outward
currents were detected from either atrial or ventricular
IK1 channels. C, Current-voltage (I-V) relations
obtained from the traces in A and B. Slope conductance was 28 pS for
the atrial IK1 (squares) and 29 pS for the
ventricular IK1 (circles) channel.
Strong inward rectification was displayed in the voltage range positive
to resting membrane potential of +60 mV in both atrial and
ventricular IK1 channels.
|
|
Fig 7
illustrates open
time histograms from atrial and
ventricular IK1 channels. The
distributions of open times in atrial and ventricular
IK1 channels were well described by a single
exponential function. The mean open lifetime was 30.8±4.2 milliseconds
(n=20) for atrial IK1 and 31.6±4.5
milliseconds
(n=15) for ventricular IK1
(P=NS). There results indicate that channel characteristics
of IK1 are similar for atrial and ventricle. In
contrast, the percent of patches in which IK1
channels were found (incidence) was 34.7% (25 of 72) of patches in
atrium and 88.6% (31 of 35) of patches in ventricle.
To compare
characteristics in more detail, we studied
IK1 channels in myocytes isolated from the
atrium and ventricle of the same patient. This approach allowed us to
compare channel characteristics directly without involvement of
possible additional complicating factors such as age, sex, and disease
state. A total of 18 atrial myocytes and 23 ventricular
myocytes were studied from pairs of atrial and ventricular
tissue from four patients with IHD and two patients with VHD. Table
3
summarizes the results; IK1
channel characteristics did not differ between atrium and ventricle.
These results indicate that the slope conductances and gating
parameters of atrial and ventricular
IK1 were not significantly different and that
the difference in whole-cell IK1 conductance may
be caused by a difference in the number of functional channels between
atrium and ventricle.
Fig 8
describes the effects of
specific blockers for
IK1 on human atrial and ventricular
IK1 channel activity. Ba2+
(20 µmol/L) in the pipette solution shortened the individual bursts
with a concomitant prolongation of the interburst interval, resulting
in a decrease of channel open probability
(Po) at every holding voltage tested in
both atrial and ventricular myocytes. As summarized in
Table 4
, Po was reduced by
Ba2+ in atrial and ventricular
IK1. Unitary amplitude was unchanged by
Ba2+. Addition of Cs+ (50 µmol/L) to
the pipette solution caused flickering to occur during individual
bursts of open events at different voltages in atrial and
ventricular myocytes. However, the frequency of bursting
was not affected at this concentration, nor was unitary amplitude
altered by Cs+. Although Po of both
atrial and ventricular IK1 decreased
with Cs+ (50 µmol/L), it was not of statistical
significance. These results indicate that both human atrial and
ventricular IK1 channels are
sensitive to these blockers, which is similar to many other mammalian
species.5 6

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Figure 8. Tracings of effects of Ba2+ and
Cs+ on human atrial and ventricular
IK1 channel. A, Effect of 20 µmol/L
Ba2+ or 50 µmol/L Cs+ in the pipette
in atrial IK1 channel. Single
IK1 channel current traces were recorded
with 20 µmol/L BaCl2 or 50 µmol/L CsCl in the pipette
in cell-attached patch configuration between holding potential equals
resting membrane potential and resting membrane potential of -40 mV as
indicated to the left of each current trace. In Ba2+
experiments, currents were low pass filtered at 2 kHz. Individual burst
length shortened with prolongation of the interburst interval.
Probability of open events decreased at all test voltages. In
Cs+ experiments, currents were low pass filtered at 5 kHz.
B, Effect of 20 µmol/L Ba2+ or 50 µmol/L
Cs+ in the pipette in ventricular
IK1 channel. Experiments were performed under
the same conditions as A. Ventricular
IK1 channel activity was blocked by
Ba2+ and Cs+ in a similar manner to the
atrial IK1 channel.
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|
Characteristics of Single IK1 Channel in
Myocytes Isolated From Heart of Patient With DCM
To assess the
alteration in IK1 channel
characteristics in myocytes isolated from DCM, we examined single
IK1 channel behavior for DCM. Fig 9
illustrates a typical example of single
IK1 channel activity in ventricular
myocytes from patients with ICM or DCM. Channel activity was observed
in 77.4% (24 of 31) of patches for ICM and in 56.2% (18 of 32) of
patches for DCM. The single-channel activity exhibited bursting
behavior in which long-lasting bursts were separated by brief
interburst closed periods. Individual bursts were maintained for long
periods with many brief closing events occurring at holding voltages
between resting membrane potential of -60 mV and of +40 mV (Fig
9A
).
This type of bursting behavior was seen in every patch from
ventricular myocytes obtained from patients with DCM (18 of
18 cells). We never observed such bursting behavior in myocytes from
patients with ICM and the other disease states. The I-V relation
exhibited a slope conductance of 27±3 pS (n=18), which was not
significantly different from that for ICM (28±2 pS, n=8). The
open
time distributions were best described by a single exponential function
with a mean open lifetime of 31.9±3.5 milliseconds (n=14). Slope
conductances and mean open times did not differ between myocytes from
patients with DCM or ICM. In contrast, Po was
different for the two groups. Table 5
summarizes these
results.

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Figure 9. Characteristics of single IK1
channels in ventricular myocytes isolated from patients
with ischemic cardiomyopathy (ICM) and
idiopathic dilated cardiomyopathy (DCM). A, Unitary
currents from IK1 channels in
ventricular myocytes isolated from patients with ICM or DCM
recorded from cell-attached patches. Holding potential is expressed
as the voltage deviation from the resting membrane potential and is
indicated to the left of each current trace. No outward currents were
detected positive to resting membrane potential. Currents were low pass
filtered at 2 kHz. B, Current-voltage relations of
IK1 channels derived from A. Slope conductance
was 29 pS for both ICM and DCM. C, Histograms of open times of
IK1 channels in ventricular myocytes
isolated from patients with ICM or DCM recorded at holding
potential of -60 mV, filtered at 2 kHz. Measurements were made from a
patch containing only one channel. Lifetimes of openings were
distributed according to a single exponential function with mean open
lifetime of 31.4 milliseconds for ICM and 29.9 milliseconds for
DCM.
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Table 5. Comparison of Conductance and Kinetic
Parameters in Human Ventricular Myocytes
Between Ischemic Cardiomyopathy and
Dilated Cardiomyopathy
|
|
The voltage dependence of Po in
IK1 channels of ventricular myocytes
from patients with DCM was also different from that from patients with
ICM. Because no significant differences were found in
Po between ICM and other disease states, they
were grouped as non-DCM. Fig 10
depicts the voltage
dependence of Po for DCM and non-DCM.
IK1 channels for DCM exhibited decreased
sensitivity to the holding voltage compared with that of non-DCM. Their
values were not significantly different at resting membrane potential
of +20 mV. However, the values were different at the holding voltages
negative to resting membrane potential. The non-DCM groups exhibited a
voltage-dependent decrease in Po with membrane
hyperpolarization, whereas the DCM displayed little
sensitivity of Po to holding voltage. The values
of Po for DCM were significantly different from
those for non-DCM at holding potentials negative to resting membrane
potential.

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Figure 10. Plot of voltage dependence of open probabilities
(PO) in ventricular
IK1 channel from patients with idiopathic
dilated cardiomyopathy (DCM) or other different
disease states (patients without DCM). Ventricular
IK1 channel PO values
from patients with DCM (squares) and from patients without DCM
(circles) were plotted as a function of holding voltages from
cell-attached patch recordings. Po in
patients with DCM was less sensitive to holding voltage than was that
from patients without DCM. Vertical bars through each point
represents SD. Values were not significantly different from
each other at holding potential equals resting membrane potential of
+20 mV. They were statistically different in the voltage range negative
to resting membrane potential. *P<.05,
**P<.01,
***P<.001, n=14 in DCM group, n=26 in
non-DCM group.
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|
We made similar comparisons between atrial
IK1
channels. The results were similar to those observed for ventricle
(Table 6
). Again, the channel characteristics for DCM
were different from those for ICM and donors, and the channel
characteristics for ICM did not differ from those for donors.
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Table 6. Comparison of Conductance and Kinetic
Parameters in Human Atrial Myocytes Between
Ischemic Cardiomyopathy, Dilated
Cardiomyopathy, and Donors
|
|
Comparison of Human Ventricular
IK1 Channels With Cat and Guinea Pig
We also
compared human ventricular
IK1 single-channel characteristics with those of
cat and guinea pig. Fig 11
shows examples of
conductance in a single IK1 channel recorded
in isolated cat and guinea pig ventricular myocytes. Fig 11A
shows the original traces and the I-V relation in cat ventricle.
Open bursts separated by long closed interburst periods were typical.
Outward currents were not observed during strong depolarizations. The
I-V relation was linear in the voltage range between -40 and +40
mV.
The mean value of the slope conductance was 30±3 pS (n=8).

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Figure 11. Single IK1 channel
characteristics in isolated cat and guinea pig ventricular
myocytes. A (Top), Cell-attached patch recordings of
IK1 channels in freshly isolated cat
ventricular myocytes with 150 mmol/L K+ in the
pipette and normal Tyrode's solution in the bath. Holding potential
was expressed as the voltage deviation from the resting membrane
potential and was indicated to the left of each current trace. No
outward current was detected indicating inward rectification. Currents
were low pass filtered at 2 kHz. Bottom, Current-voltage (I-V) relation
plotted from the currents in top panel was linear between resting
membrane potential of -40 mV and resting membrane potential of +40
mV
with slope conductance of 30 pS. B (Top), Cell-attached patch
recordings of IK1 channels in freshly
isolated guinea pig ventricular myocytes with 150 mmol/L
K+ in the pipette and normal Tyrode's solution in the
bath. No outward current was detected. Bottom, I-V relation obtained
from the traces in top panel was linear between holding potential
equals resting membrane potential of -40 mV and resting membrane
potential of +40 mV with a slope conductance of 34 pS.
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|
Fig 11B
similarly describes the IK1
channel
characteristics in an isolated guinea pig ventricular
myocyte. Individual bursts, separated by long periods with the channel
in the closed state, were again observed. The probability of open
events decreased with membrane hyperpolarization,
and outward currents were not seen during strong depolarizations. The
I-V relation was linear in the voltage range between -40 and +40 mV
with a slope conductance of 32±3 pS (n=14). Table
7
summarizes the species comparison. Because IK1
channels from patients with DCM did not behave like those from patients
with other disease states, we excluded the data from patients with DCM
in this comparison. Although there were some minor differences in each
parameter, the overall quantitative characteristics of
human IK1 (non-DCM) were similar to those for
both cat and guinea pig. The different isolation method did not affect
the channel characteristics (n=5).
 |
Discussion
|
|---|
The major findings in the present study are as follows. First,
the
action potential in human ventricular myocytes
exhibited a longer
duration and a faster late repolarization phase
compared with
that in atrium. Second, although whole-cell
IK1 in human atrial
and ventricular
myocytes exhibited inward rectification, only
ventricular
IK1 had a prominent negative slope region as
determined
from the I-V relation and the slope conductance was greater
in
ventricle than in atrium. Third, ventricular myocytes
isolated
from patients with DCM exhibited low resting membrane
potential,
prolonged action potential duration, and a slow late
repolarization
phase compared with those of patients with ICM.
Whole-cell current
slope conductance was smaller for DCM than for ICM.
Fourth,
single
IK1 channels in
ventricular myocytes had conductance
properties and
kinetics similar to those in atrium. However,
the percentage of patches
in which
IK1 channels were found was
greater in
ventricle than in atrium, suggesting that smaller
whole-cell current
magnitude in atrium may be caused by low
functional channel density in
atrium. Fifth, single-channel
Po for DCM did not
show voltage dependence. Sixth,
IK1 channels
in
human atrial and ventricular myocytes had characteristics
that
were similar to those in cat and guinea pig heart. However,
at
potentials negative to resting membrane potential, the
ventricular
IK1 channel
Po in human heart was greater than in cat and
guinea
pig myocytes.
Characteristics of IK1 in Human Atrium
and Ventricle
The action potential in human atrial and ventricular
myocytes showed characteristics generally similar to those observed in
other mammalian species.26 27 A difference in action
potential duration in atrium and ventricle was shown in guinea
pig26 and rabbit.27 The action potential
characteristics in the present study were also similar to those
previously reported for human atrium31 32 and
ventricle.18 A different density of whole-cell
IK1 current in atrium and ventricle was shown in
guinea pig and rabbit.26 27 The I-V relation
exhibited a
negative slope region in the voltage range between -40 to +20 mV in
human ventricular IK1. In contrast,
human atrial IK1 exhibited much lower slope
conductance without a prominent negative slope region in the I-V
curve.
Single-channel study supported the results of whole-cell
measurements.
Single IK1 channels were identified based on the
following observations. First, EK satisfied the theoretical
value predicted by the Nernst equation. In cell-attached patches with
pipette (150 mmol/L K+) and bath solution (5.4 mmol/L
K+), with intracellular K+ concentration
assumed to be
140 to 150 mmol/L, EK was estimated to be
+80 mV. The results satisfied these theoretical estimations. Second,
outward unitary currents were not observed at potentials positive to
EK, indicating inward rectification typical for
IK1. Third, The slope conductances and mean open
times in atrial and ventricular channels in cell-attached
patches were similar to those previously reported for guinea
pig4 and human atrium.17 Fourth, channel
activity was blocked by Ba2+ and Cs+.
Single-channel analysis in the present study demonstrated
that the conductance and gating kinetics do not differ between atrial
and ventricular IK1. The fact that
the percentage of patches with channel activity is higher in
ventricular myocytes than in atrial myocytes is
consistent with the results in whole-cell experiments; higher
percentage of channel activity of single IK1
channels in ventricle compared with atrium could underlie the
differences in the magnitudes of the whole-cell currents and their
conductances in the two tissue types. The facts that whole-cell current
conductance of human atrial IK1 is much smaller
than that of the ventricular IK1 and
that the whole-cell atrial IK1 does not exhibit
a prominent negative slope region are consistent with the
difference observed in the action potential characteristics in atrium
and ventricle.
Alterations in IK1 Channel Characteristics
for Patients With DCM
Previous studies in our and other laboratories
using multicellular
specimens have demonstrated that human atrium with various disease
states exhibited several different
electrophysiological characteristics from
nondiseased
tissues.33 34 35 36 37 38
Similar results were obtained in
human ventricular
myocardium.39 40 41 42 43
In isolated single-cell experiments, altered action potential shape and
decreased density of whole-cell IK1 were
reported in ventricular myocytes from patients with
terminal heart failure.18 44 However,
electrophysiological alterations in different
preexisting disease states were not evaluated in these previous
studies. We considered the possible involvement of
IK1 in different preexisting disease states and
were interested in comparisons of IK1
characteristics in myocytes from patients with different heart
diseases.
Low resting membrane potential, prolonged action potential
duration,
and decreased whole-cell IK1 conductances were
found in ventricular myocytes from patients with DCM. It is
unlikely that these alterations were caused by heart failure, because
electrophysiological characteristics in myocytes
from patients with the same functional class heart failure (class IV)
after ICM did not exhibit these changes. Although prolonged action
potential duration and decreased whole-cell current slope conductance
were observed for ICM, they were not significantly different from those
for other disease states. Single IK1 channel
properties in atrial and ventricular myocytes from patients
with DCM exhibited a distinct burst behavior compared with patients
with ICM, persons with other heart diseases, and healthy donors. These
results suggest that the alterations in individual single-channel
behavior may not parallel the severity of heart failure but may be
related to the underlying nature of DCM.
As we have reported
previously, we did not detect any alterations in
INa characteristics in atrial and
ventricular myocytes isolated from human
hearts.12 13 14 In addition, there were
no clear-cut
differences in INa characteristics between DCM
and other disease states12 13 in atrial and
ventricular myocytes isolated from the same patient group
that was used the present study, in which alterations in
IK1 channel characteristics were detected. Thus,
it is likely that one characteristic of DCM includes alterations of
IK1 but not of INa in the
human heart.
The exact origin of this alteration in channel behavior
for DCM is
unclear at present. Although there have not been previously
described electrophysiological alterations in
different disease states in human heart, biochemical alterations for
DCM have been reported; M2-cholinergic receptorlinked
Gi protein subunit Gi
is increased for DCM
but not for ICM and for nonfailing human hearts.45 46
Under conditions of cell-attached patches, we have never observed
ATP-sensitive K+ channel
[IK(ATP)]
activity in atrial and ventricular myocytes from patients
with DCM. After formation of excised inside-out patch configurations,
we have observed IK(ATP) activity when perfusing
with ATP-free bath solution (data not shown). This finding indicates
that although the intracellular metabolic state is
maintained, the channel and/or an associated regulatory protein may be
involved in DCM.
Comparison With Other Mammalian Species
IK1 channel characteristics in human atrial
and ventricular myocytes from patients without DCM showed
many similarities to those from other mammalian species. Although there
were several differences in single-channel parameters in
human (non-DCM), cat, and guinea pig ventricle, the basic
characteristics were not significantly different from one another. One
difference was that human ventricular
IK1 channel exhibited a relatively higher
Po value than that for cat or guinea pig despite
the fact that channel mean open lifetime in human
IK1 is smaller than that for cat or guinea pig.
Our present findings suggest that IK1
channel behavior is similar between mammalian species but that
IK1 channels for DCM behave in a manner that is
distinct from others. In addition, abnormal
electrophysiological properties were reported in
cardiomyopathic Syrian hamster
heart.47 48 49
Prolongation of the action potential has been shown in the
cardiomyopathic animal models.47 50 Thus,
information derived from animal studies appears to be applicable to
considerations of "normal" and "abnormal" human
IK1 channels.
Study Limitations and Implications
One of the limitations of
the present study is the small
number of control hearts. In addition, ventricular
specimens from persons with normal function were obtained from patients
with inhomogeneous disease states (IHD and VHD). The
availability of control human hearts without any dysfunction (including
donor hearts) is always extremely limited for laboratory investigation.
However, electrophysiological properties in
myocytes obtained from these control hearts were quite similar to each
other. Basic characteristics of IK1 from
ventricles without dysfunction behaved similar to those from donor
atria and animal heart. In addition, our statistical treatment using
the two-way ANOVA and ANCOVA can effectively eliminate the statistical
errors generated by using a different sample size for each group. There
were no significant interpatient differences in data comparisons for
each group. The possible modulating effects of age and sex also were
eliminated by using the ANCOVA in each data comparison.
Finally, the
IK1 channel is likely to be one of
the main targets of the involvement of DCM. Depolarized resting
membrane potential and altered action potential shape may be caused at
least in part by the alteration in IK1. These
changes may increase the vulnerability to malignant arrhythmias
for patients with DCM. Because
electrophysiological alterations in vitro have
been associated with preexisting disease in human heart, further
estimation of these properties in vivo remains to be established.
 |
Acknowledgments
|
|---|
The authors wish to thank Drs Ruth L. Martin (University of
Chicago),
J. Andrew Wasserstrom, Ana-Maria Vites, and Robert E. Ten
Eick
(Northwestern University School of Medicine) for their thoughtful
discussion
and comment on this work.
 |
Footnotes
|
|---|
Dr Koumi's present address is The First Department of Internal
Medicine,
Nippon Medical School, Japan.
Received September 14, 1994;
revision received December 28, 1994;
accepted January 9, 1995.
 |
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