Circulation Research. 2001
Published online before print May 10, 2001,
doi: 10.1161/hh1001.090876
A more recent version of this article appeared on May 25, 2001
(Circulation Research. 2001;0:hh1001.090876.)
© 2001 American Heart Association, Inc.
Titin-Based Modulation of Calcium Sensitivity of Active Tension in Mouse Skinned Cardiac Myocytes
Olivier Cazorla1,
Yiming Wu1,
Thomas C. Irving
Henk Granzier
From the Department of Veterinary and Comparative Anatomy, Pharmacology
and Physiology (O.C., Y.W., H.G.), Washington State University, Pullman, Wash,
and the Center for Synchrotron Radiation Research and Instrumentation and
Department of Biological, Chemical, and Physical Sciences (T.C.I.), Illinois
Institute of Technology, Chicago, Ill. Present address of O.C. is INSERM
U390/IFR3, Physiopathologie Cardiovasculaire, Montpellier, France.
Correspondence to Dr Henk Granzier, Department of Veterinary and Comparative Anatomy, Pharmacology and Physiology, Washington State University, Wegner Hall, 205, Pullman, WA 88164. E-mail granzier{at}wsunix.wsu.edu
Abstract
AbstractWe
studied the effect of titin-based passive force on the length
dependence of activation of cardiac myocytes to explore whether titin
may play a role in the generation of systolic force. Force-pCa
relations were measured at sarcomere lengths (SLs) of 2.0 and 2.3 µm.
Passive tension at 2.3 µm SL was varied from
1 to
10
mN/mm2 by adjusting the characteristics of
the stretch imposed on the passive cell before activation. Relative to
2.0 µm SL, the force-pCa curve at 2.3 µm SL and low passive tension
showed a leftward shift (
pCa50 [change in
pCa at half-maximal activation]) of 0.09±0.02 pCa units while
at 2.3 µm SL and high passive tension the shift was increased to
0.25±0.03 pCa units. Passive tension also increased
pCa50 at reduced interfilament lattice
spacing achieved with dextran. We tested whether titin-based passive
tension influences the interfilament lattice spacing by measuring the
width of the myocyte and by using small-angle x-ray diffraction of
mouse left ventricular wall muscle. Cell width and
interfilament lattice spacing varied inversely with passive tension, in
the presence and absence of dextran. The passive tension effect on
length-dependent activation may therefore result from a radial
titin-based force that modulates the interfilament lattice
spacing.
Key Words: x-ray diffraction myofilament lattice collagen Frank-Starling
The precise
mechanisms by which the heart is able to enhance its contractile
performance in response to an increase in volume
(Frank-Starling mechanism) remain to be resolved. The cellular basis of
the Frank-Starling mechanism involves the sarcomere length (SL)
dependence of the Ca2+ sensitivity of
tension.1 Length-dependent
Ca2+ sensitivity is revealed by the leftward
shift of the force-pCa (-log[Ca2+])
relation as SL is increased. The mechanisms that underlie this shift
may involve a length-dependent increase in affinity of the regulatory
site of troponin C for Ca2+, as well as an
increase in the number of strongly binding
crossbridges.2 3
The enhanced active force response when muscle is stretched may be
explained by the myofilaments moving closer
together,4 thereby increasing
the probability of crossbridge binding to
actin.5 6
Experiments in which the Ca2+ sensitivity
was increased by osmotically compressing the filament
spacing5 6 support
the idea that changes in myofilament spacing contribute to
length-dependent activation.
Recent studies identified titin (connectin) as a possible
factor involved in length-dependent Ca2+
sensitivity.7 8 The
I-band segment of titin functions as a molecular spring that underlies
the passive force of cardiac
myocytes.9 10 This
force is the main contributor to overall passive force of cardiac
muscle, except toward the upper limit of the
physiological SL range where collagen
dominates.9 11 A
passive forcebased increase in the number of crossbridges bound to
actin has been suggested by earlier work on insect flight
muscle12 and rabbit psoas
muscle.13 Here we
investigated the involvement of titin-based passive tension in the SL
dependence of Ca2+ activation of skinned
cardiac myocytes and in modulating the interfilament lattice spacing.
Force-pCa curves were measured at SL 2.0 and 2.3 µm, and the
pCa50 (pCa at half-maximal activation, an index
of Ca2+ sensitivity) was determined at
various levels of passive tension achieved by varying the stretch
characteristics imposed on the cell before activation. We found that
passive tension significantly influences both the length dependence of
activation and the myofilament lattice spacing in normal and compressed
muscle. Thus, titin is not just a passive spring that is independent of
active force development, which is the conventional view, but titin
also influences actomyosin interaction, possibly via modulating
interfilament lattice spacing.
Materials and Methods
Preparations and Solutions
Myocytes and muscles were isolated from mice
and skinned as previously
described.11 14
Solution composition was as
described,8 as were all
contained protease
inhibitors.9 For
osmotic compression, dextran (T500) was used. For additional details
see, online expanded Materials and Methods section available at
http://www.circresaha.org.
Experimental Setup
The setup was as
described.11 SL was measured
online at 15 Hz (Ionoptix Corp). The system uses a
pseudo2-dimensional FFT analysis of the digitized striation
images of the attached
cell.15 SL could be
controlled during activation via adjusting the motor input voltage so
as to keep SL at a constant value. Force was normalized by the
cross-sectional area of the
cell.9 The force-pCa relation
of freshly isolated cells was measured at 2.0 µm and then at 2.3 µm
SL (15°C). Passive force was varied as explained below. Active forces
at submaximal activations were normalized to that produced at pCa 4.5
at the same SL. (Force at pCa 4.5 slightly diminished with the number
of imposed contractions; the mean reduction during the measurement of 2
force-pCa curves was 23±2% [n=41].) The relation between relative
force and pCa was fitted to the following equation: force =
[Ca2+]nH/(K+[Ca2+]nH),
where nH
is the Hill coefficient and pCa50 is -(log
K)/nH.
Values in the
Table
are the average values from all cells studied under a certain
condition. All shown curves were fitted to the average force produced
at each pCa.
X-Ray Diffraction
The BioCAT undulator-based beamline at the Argonne
National Laboratory (Argonne, IL) was used. Muscles were mounted to a
force transducer and a motor in a small trough with windows for
collection of x-ray patterns and viewing of striations (SL was
determined as described above). X-ray patterns were collected and
spacings of the 1,0 and 1,1 equatorial reflections were measured and
converted to
d1,0
values.4
Titin Degradation
X-ray experiments were performed on skinned muscle
preparations that had been trypsinized (0.25 µg/mL; 25 minutes at
25°C) to degrade
titin.10 11 To
determine the amount of intact titin, preparations were solubilized
after completion of the x-ray experiment and analyzed with
SDS-PAGE. For details, see References 9 and 169 16 .
Statistics
Results are mean±SE (unless indicated otherwise).
Significant differences were assigned using the paired or unpaired
Student t test (as appropriate)
or 1-way ANOVA and Tukey multiple comparison with
P<0.05.
An expanded Materials and Methods section can be found in
the online data supplement available at
http://www.circresaha.org.
Results
The Ca2+ sensitivity of
active force was studied at various levels of passive force. To
determine active force, we subtracted the passive force before
activation from total force during activation. However, this is only
valid if during activation sarcomeres are isometric, because SL
shortening reduces passive force and stretching has the opposite
effect. We measured SL online and observed (as have
others6 8 15 )
that although cells were kept isometric during contraction, sarcomeres
typically changed length, especially when activation was maximal. The
SL change varied somewhat from cell to cell, and for each cell we first
performed a test contraction at pCa 4.5 and only continued with those
cells that were well attached with minimal (<0.1 µm) SL changes.
When required, cell length was varied during contraction so as to keep
SL constant (see
Figure 1
). The differences in SL between the start and the
peak of contraction of all cells used in this study were small
(0.03±0.02 µm). Thus, changes in passive force during contraction
are negligible, and active force equals the activation-induced force
increase.

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Figure 1. A, Myocyte glued to force transducer (left) and motor (right) at SL 2.3 µm. Top, Passive (pCa 9.0). Bottom, Active (pCa 4.5). During activation SL was kept constant by slightly stretching the cell. B, Force and SL of cell stretched from 2.0 to 2.3 µm in relaxing solution, held and maximally activated (pCa 4.5). At the beginning of contraction, SL was controlled. Apart from transients, SL changes are small.
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Passive force was adjusted by varying the SL history before
activation. High levels of passive force were obtained by rapidly
stretching the cell to 2.3 µm with activation following immediately
(Figure 1
). Low to intermediate levels of passive force were
obtained by (1) stretching sarcomeres to a length that exceeded 2.3
µm (typically to
2.5 µm), (2) holding cell length constant, (3)
releasing to 2.3 µm SL, and (4) holding the cell at 2.3 µm SL and
then activating. The central panel of
Figure 2A
shows an example of this protocol. During the hold
phase at long SL,2 passive
force rapidly decayed, most likely because of contour length gain of
subdomains within the extensible region of
titin.17 Recovery takes
place if the cell is completely released to the slack length and held
there for several minutes. A partial release is insufficient for full
refolding, and passive force will therefore be
lower.17 These protocols
allowed us to vary passive tension at SL 2.3 µm between
1 and
10 mN/mm2.

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Figure 2. Effect of passive force on activation. A, Top, Schematic of SL change. Bottom, Force. Left and right panels, Myocyte stretched from 2.0 to 2.3 µm SL, respectively, and then Ca2+ activated. Middle panel, Myocyte stretched to 2.5 µm SL (1), held (2), released to 2.3 µm SL (3), and held and activated at 2.3 µm SL (4). In middle panel, both passive force at the start of activation and maximal active force were reduced. B, Average force-pCa relation at 2.0 ( ) and at 2.3 µm SL with high (8.7±0.3 mN/mm2; ) and low (1.7±0.3 mN/mm2; ) passive tension. Note that curves at 2.3 µm SL are shifted leftward and that this shift is largest at high passive tension. C, Effect of passive tension on pCa50. Broken line is linear regression line fitted to the mean results. D, Force-pCa relation at 2.0 and 2.3 µm SL with high (results from panel B) and low passive tension achieved by trypsin treatment of the cells.
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When cells were submaximally activated at 2.3 µm
SL, active force was significantly lower if passive force was low
(compare
Figure 2A
, middle and right). This reduction in active force
did not result from protocol-induced damage to either titin or the
contractile apparatus, as both passive and active forces
recovered after a
10-minute rest period at the slack length (compare
Figure 2A
, left and right). To ensure that all contractions
were induced at the same passive force level, between contractions
cells were always released to their slack length followed by a
10-minute rest, and then the exact same stretch-activation protocol
was imposed.
Force-pCa relations were determined at 2.0 and 2.3 µm SL
at high (8.7±0.3 mN/mm2) and low (1.7±0.3
mN/mm2) passive tension. At both passive
tension levels, the force-pCa curves at 2.3 µm were shifted leftward
relative to the curve at 2.0 µm SL. The shift was significantly
larger at high passive tension
(Figure 2B
and
Table
).
The pCa for half-maximal activation (pCa50)
increased by 0.25±0.02 pCa units and 0.09±0.01 pCa units for high and
low passive tensions, respectively. Results were independent of the
order in which the experiments were performed (high versus low passive
tension), indicating that no permanent damage was done by these
protocols. We measured the maximal active tension (pCa 4.5) in
experiments in which 3 contractions were induced (in random order), as
follows: (1) 2.0 µm SL, (2) 2.3 µm SL (low passive tension), and
(3) 2.3 µm SL (high passive tension). Maximal active tensions (in
mN/mm2) were 30.7±2.3 (n=18), 31.6±1.7
(n=13), and 34.3±1.8 (n=18), respectively. Only results at 2.3 µm SL
(high passive tension) were significantly higher than at SL 2.0 µm
(ANOVA, P<0.05).
Varying the amplitude and the duration of prestretch
resulted in intermediate passive tension levels at SL 2.3 µm. Results
from 29 cells were pooled in passive tension bins of 2.0
mN/mm2, and their corresponding
pCa50 (pCa50 at SL
2.3-pCa50 at 2.0 µm) values were averaged.
Figure 2C
shows that at passive tensions between 0 and 2
mN/mm2,
pCa50 is
0.09 pCa units and that at higher tensions
pCa50 increases until it reaches 0.25 pCa
units at a passive tension of 10 mN/mm2.
Linear regression (broken line in
Figure 2C
) shows that the length dependence of activation
(
pCa50) has a passive tensionindependent
component (
0.08 pCa units in size) and a component that varies with
passive tension.
Considering that the large prestretch/partial release
protocol requires stretch to nonphysiological SLs,
we also measured the force-pCa relation of cells in which passive
tension was reduced with trypsin, as an independent method. Because of
the high trypsin sensitivity of the PEVK domain of titin, a mild
trypsin treatment can be used to specifically degrade the I-band region
of titin and to thereby lower passive tension at a given
SL10 11 (see also
below and online Materials and Methods available at
http://www.circresaha.org). Trypsin-treated cells were stretched to SL
2.3 µm and then immediately activated. Because of degradation
of titin, passive tension was now low (1.7±0.6
mN/mm2; n=6). The force-pCa relation so
obtained was shifted to the right compared with the curve measured at
high passive tension
(Figure 2D
). The pCa50 (5.79±0.04)
and maximal active tension (33.1±2.8
mN/mm2) are indistinguishable from that at
low passive tension obtained after the large prestretch/partial release
protocol (5.78±0.03, and 31.6±1.7 mN/mm2,
respectively). Thus, reduction of passive tension via either trypsin
treatment or a large stretch/partial release leads to the same
force-pCa relation.
We studied whether the passive tensioninduced shift of the
force-pCa relation involves a passive tension effect on the myofilament
lattice spacing as indicated by the cell width at 2.3 µm SL. Cell
width was significantly smaller at high passive tension than at low
passive tension
(Figure 3C
[a]). Furthermore, during stress recovery
(Figure 3C
[b]), cells shrank significantly.

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Figure 3. Effect of passive force on cell width. A, Length-change protocols. B, Examples of passive force responses. C, Cell width measurements immediately after completion of stretch/release and 5 minutes later. Pooled results at high (left panel) and those at low (right panel) passive tensions were significantly different (a). Results after 5 minutes of stress recovery (right panel) were significantly different (paired t test; P=0.05) from those immediately after release (b). Data are mean±SE of 14 cells from 7 animals.
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It is well known that the myofilament lattice spacing of
striated muscles expands during skinning as a result of the loss of the
osmotic constraint to swelling imposed by the
sarcolemma.4 18 19
It has been reported that the myofilament lattice on skinning of
cardiac muscle expands19 and
that this may be countered with
2.5% (wt/vol) dextran T-500. To
test whether passive tension affects the length dependence of
activation in conditions in which skinning-induced swelling was
compensated, we measured the force-pCa relations at high and low
passive tension in the presence of 2.5% dextran.
In the presence of dextran, the cell width at SL 1.9 µm
was reduced by
8%
(Figure 4A
), consistent with the 7% to 8%
reduction reported by
others.6 20 The
force-pCa relations at 2.0 µm SL in the presence of dextran were
shifted to the left (relative to no dextran) to a position similar to
the one obtained without dextran at 2.3 µm SL
(Figure 4B
and
Table
).
This is consistent with the results of others obtained on
cardiac myocytes6 that showed
that dextran sensitizes the cells at short SL. To our knowledge, the
effect of dextran on the force-pCa relation of cardiac myocytes at 2.3
µm SL has not been investigated before. Relative to the curve at 2.0
µm SL (with dextran), our experiments revealed a
pCa50 of 0.08 pCa units at low passive
tension and 0.15 pCa units at high passive tension
(Figures 4B
and 4C
,
Table
).
We measured the maximal active tension in experiments in
which 3 maximal active contractions were induced, at SL 2.0, SL 2.3
(low passive tension), and SL 2.3 (high passive tension) µm, in a
randomized order. Maximal active tensions (in
mN/mm2) were 32.4±2.5 (n=10), 36.6±2.3
(n=10), and 34.9±2.0 (n=10), respectively. Results comparing high
versus low passive tension at 2.3 µm were not significantly
different. The maximum tensions at 2.3 µm SL (low passive tension)
and those at 2.3 µm SL (high passive tension) were both significantly
higher than at 2.0 µm.
To further probe the mechanism underlying these findings, we
studied the effect of passive tension on myofilament lattice spacing by
using low-angle x-ray diffraction. Because x-ray diffraction on cells
is currently not feasible, because of their low x-ray scattering mass,
for these studies we used mouse skinned myocardium
dissected from the left ventricular free wall.
Figure 5A
, panel 1, shows a typical x-ray pattern from a
skinned preparation in relaxing solution with clearly resolved
equatorial reflections. (SDS-PAGE showed that titin was unaffected by
the x-ray exposure.) The separation of these reflections allowed us to
measure lattice spacing with
0.1-nm resolution. Myofilament lattice
spacing decreased significantly as SL was increased
(Figure 6A
), which was consistent with recent
measurements on rat cardiac
trabeculae.4

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Figure 5. A, X-ray patterns from skinned left ventricular wall muscle in relaxing solution (SL, 2.0 µm) showing strong equatorial reflections. Panel 1, In relaxing solution alone; panels 3 and 4, In the presence of 4% dextran; panels 2 and 4, treated with trypsin. B, Relative content of titin (T1) and thin- and thick-filamentbased proteins. Only titin is significantly degraded by trypsin (n=6). C, Length-tension relation of collagen of mouse muscle before (top) and after (bottom) trypsin treatment (n=5). D, Length-tension relation of intermediate filaments of mouse cardiac myocytes before (bottom) and after (top) trypsin treatment. E, Effect of trypsin on tensions of titin, muscle collagen, collagen strips, and intermediate filaments. Absolute control tension levels (in mN/mm2) for titin were 18.6±1.9 (n=5); for muscle collagen, 24.4±3.2 (n=5); for collagen strips, 18.2±4.3 (n=5); and for intermediate filaments, 6.3±3.0 (n=5). F, Force-pCa relations of control mouse muscle ( and broken line) and trypsin-treated muscle ( and solid line). *Significant differences from control. For details on how collagen, titin, and intermediate filament forces were determined, see online expanded Materials and Methods section available at http://www.circresaha.org.
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Figure 6. Effect of dextran and trypsin on myofilament lattice spacing of skinned muscle. Results of 10 preparations were binned in 0.05-µm-SL intervals and mean±SE was calculated. A, Measurements in absence of dextran of control and trypsin-treated muscle. B, Results in the presence of 4% dextran. Lines are linear regression lines. Their slopes are indicated.
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To vary passive tension, we were unable to use the "large
prestretch protocol," as collagen in mouse myocardium
limits the maximal SL with reversible mechanical characteristics to
2.3 µm.11 Again, we
varied passive tension by degrading titin with trypsin (0.25 µg
trypsin/mL, 25 minutes at 25°C). Treating mouse skinned
myocardium with trypsin greatly degraded titin
(T1) without significantly affecting
other proteins
(Figure 5B
). To test whether trypsin affects collagen-based
force, we treated collagen strips as well as myocardium
with trypsin that had been extracted with high salt to abolish titin as
a source of passive force.11
The force of collagen was unaffected by trypsin
(Figures 5C
and 5E
). We also tested whether trypsin affects
intermediate filamentbased force and found that this force also is
not affected by trypsin
(Figures 5D
and 5E
). Finally, we measured the force-pCa
relation at a SL of 1.9 µm and found that the relation was unaffected
by trypsin
(Figure 5F
). Neither pCa50 (control,
5.71±0.03 [n=12]; trypsin treated, 5.73±0.04 [n=12]) nor maximal
active tension (control, 25.7±2.0 mN/mm2
[n=12]; trypsin treated, 23.3±1.7 mN/mm2
[n=12]) were significantly affected by trypsin. Thus, under
our experimental conditions trypsin specifically abolishes titin-based
passive force.
An example of an x-ray diffraction pattern after trypsin
treatment is shown in
Figure 5A
, panel 2, and the SL dependence of the
d1,0
spacing before and after trypsin treatment in
Figure 6A
. Degradation of titin significantly increased the
lattice spacing with an average increase of
3 nm. The large increase
in d1,0
at SL 1.9 µm and our finding that trypsin treatment does not affect
calcium sensitivity at SL 1.9 µm
(Figure 5F
) suggests that calcium sensitivity is independent
of d1,0
spacing in the range of 44 to 47 nm. Although support for the idea that
changes in myofilament lattice spacing contribute to length-dependent
activation5 6 is
compelling, this finding may be viewed as a cautionary
note.
We also studied whether degrading titin had an effect on the
osmotically compressed lattice achieved by adding dextran. Definitive
studies of the amount of dextran required to restore the in vivo
lattice spacing in skinned cardiac muscle have not been reported;
earlier studies used a range from 2% to 4%
dextran,4 19 20
and we chose 4% for these experiments. An example of an x-ray pattern
is shown in
Figure 5A
, panel 3, and the SL dependence of
d1,0 in
Figure 6B
. Results indicate that at a given SL, dextran
greatly reduces the lattice spacing. For example, at SL 2.1 µm
dextran reduced
d1,0
from 42.4 to 35.4 nm. (Note that this spacing in dextran is close to
that of intact cardiac muscle at SL 2.1 µm; for rat, reported values
are 34.84 and
35.619 nm). The effect of
degrading titin with trypsin in the presence of dextran was then
studied. An example of an x-ray pattern is shown in
Figure 5A
, panel 4, and measurements are shown in
Figure 6B
. Degrading titin significantly increased the
lattice spacing, this increase being largest at 1.9 µm SL with a
gradual decrease with SL. These studies support the notion that titin
modulates the interfilament lattice spacing in both the presence and
the absence of dextran.
Discussion
Numerous studies have shown that an important component
of the Frank-Starling mechanism is the length dependence of the calcium
sensitivity of force. A now widely held explanation for
length-dependent activation is that the change in interfilament spacing
that accompanies SL change modulates the probability of actomyosin
interaction at the same calcium concentration. The mechanism by which
interfilament spacing affects actomyosin interaction may involve an
interfilament-spacing effect on weakly bound crossbridges by affecting
their number21 or the rate
of transition from the weak to strong binding
states.22 Here we report
that titin modulates interfilament spacing and that titin-based passive
tension influences length-dependent activation.
Effect of Titin-Based Passive Tension on
Calcium Sensitivity
Because of stress relaxation, titin-based passive
tension at a given SL is not constant but decreases with time. We took
advantage of the high degree of passive stress relaxation at long SL
and its slow recovery on partially releasing the cell, to vary passive
tension at a SL of 2.3 µm and study its effect of the force-pCa
relation. Results indicate that the length dependence of activation
(
pCa50) has a passive tensionindependent
component of 0.08 pCa units (intercept of line in
Figure 2C
) that is likely to involve thin- and
thick-filamentbased processes independent of titin. The passive
tensionindependent component is somewhat less than the
0.12
pCa50 values reported by other laboratories
studying the
mouse.23 24 25
Although passive tension was not reported in these previous studies,
they used protocols generally consisting of a slow stretch followed by
a long wait period before activation, and passive tensions are
therefore likely to have been relatively low (our
Figure 2C
indicates that a
pCa50
of 0.12 is accompanied by
2.5 mN/mm2
passive tension). Thus, the
pCa50 values at
low passive tension found here are in general agreement with those of
others. High passive tensions were achieved by rapidly stretching cells
to SL 2.3 µm and then immediately activating them
(Figure 1
). We found that passive tension significantly
enhances the length dependence of activation with a
pCa50 of 0.25 pCa units at the highest
passive tensions used. Thus, for maximal calcium sensitivity of skinned
cardiac myocytes, a high level of titin-based passive tension is
required.
Effect of Titin on Interfilament
Spacing
For cardiac myocytes, we used the cell width as an
indicator of interfilament spacing. Although cell width is an imperfect
indicator, it nevertheless provides qualitative insights into
myofilament lattice
behavior.20 We found that
passive tension correlates negatively with cell width
(Figure 3
), suggesting that titin modulates myofilament
lattice spacing. In agreement with this are the low-angle x-ray
diffraction studies on cardiac muscle that showed that degradation of
titin significantly increases
d1,0.
These findings are consistent with results on mechanically
skinned skeletal muscle fibers in which a close correlation is found
between titin-based passive tension and
d1,026
and in which, after degradation of titin,
d1,0 is
found to be independent of
SL.27 Thus, titin is a
modulator of interfilament lattice spacing in skeletal and cardiac
muscle.
After titin degradation, the myofilament lattice was still
responsive to SL
(Figure 6
). This suggests that in addition to titin, other
modulators of myofilament lattice spacing exist. A possible candidate
is collagen. By comparing
d1,0 of
chemically and mechanically skinned skeletal muscle fibers, it has been
shown that at long SL collagen compresses the myofilament lattice in
skeletal muscle.26 In
myocardium, collagen is the main source of passive tension
at long SL, whereas titin is the main source at short
SL.9 11 If
collagen and titin both affect lattice spacing, eliminating the force
of titin will have the largest effect on spacing at short SL and the
smallest at long SL, giving rise to steeper
d1,0
SL relations after elimination of titin. This expectation is in
agreement with our findings
(Figure 6
) and supports the idea that the myofilament lattice
spacing is under the influence of both collagen and titin.
The segment of titin near the Z line binds strongly to the
thin filament,28 and the
A-band segment of titin attaches to the thick
filament.29 Thus, the
elastic region of titin runs obliquely to the thin and thick filaments,
with an angle that depends on thin- and thick-filament spacing and on
the end-to-end length of the extensible region of titin (see
Figure 7A
). As a result, titin is expected to develop
a longitudinal force
(FL) and
radial
(Fr)
force, the latter of which compresses the lattice
(Figure 7A
, inset).

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Figure 7. Model of titin-based myofilament lattice modulation. A, Near the Z line, titin binds the thin filament and at the A/I junction to the thick filament tip. Thus, the extensible region of titin is not parallel with the filaments, and the force (F) of titin has a longitudinal and radial component (FL and Fr). B, Radial forceSL relation and interfilament electrostatic repulsive force (FES)SL relation of titin. For details see text and online expanded Materials and Methods section available at http://www.circresaha.org.
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The major repulsive force that separates myofilaments in
skinned muscle (under relaxing conditions) is the electrostatic force
(FES)
that arises from the net negative charge carried by the thin and thick
filaments.18
FES
values at the measured lattice spacings of
Figure 6A
(control curve) were calculated as described in
the expanded online Materials and Methods available at
http://www.circresaha.org. Results shown in
Figure 7B
reveal that the repulsive force,
FES, and
the compressive component of titin-based passive force,
Fr, are
of similar magnitude. Thus, titin develops a radial force that is
sufficiently large for it to play a role in counteracting the repulsive
FES,
which supports the concept that titin can modulate the myofilament
lattice spacing of passive muscle.
The proposal that titin gives rise to a radial force is
consistent with the reduced effect of titin on myofilament
lattice spacing in the presence of dextran
(Figure 6
). Compressing the myofilament lattice increases the
repulsive force between
filaments,30 whereas the
radial force will be reduced. The latter results from the more shallow
angle adopted by the titin filament (
in
Figure 7A
) when thin and thick filaments move closer
together. Calculations show that the 6-nm
d1,0
reduction in dextran (control curves of
Figure 6
) reduces
Fr by
15%. Thus, in the presence of dextran, the effect of titin on
myofilament lattice spacing is expected to be reduced,
consistent with
d1,0
measurements
(Figure 6B
) and the reduced effect of passive tension on
pCa50(Figure 4
).
Our work suggests that titin-based passive force modulates
the myofilament lattice spacing, and it seems reasonable to propose
that this underlies at least part of the effect of the passive force of
titin on the length dependence of calcium sensitivity. It is also
possible that a role is played by a mechanism proposed
earlier,12 13 in
which crossbridge disorder is enhanced by passive forceinduced thick
filament strain, which leads to an increased likelihood of actomyosin
interaction and an increase in calcium sensitivity. The notion that the
crossbridge order can vary in passive muscle is supported by studies
that investigated thick filament structure in response to changes in
passive stretch,31
temperature,32
phosphorylation of myosin light
chains,33 and C
protein.34 Thus, thick
filament strain as well as interfilament spacing may be involved in
linking titin to calcium sensitivity, and their relative importance and
interrelationship remains to be established.
In conclusion, titin influences the length dependence of
calcium sensitivity of active force in cardiac myocytes, and the
underlying mechanism may involve an effect of titin on myofilament
lattice spacing. These findings challenge the conventional notion that
titin is independent of actomyosin interaction, and they suggest that
titin has the potential to enhance systolic performance
as the ventricular volume is
increased.
Acknowledgments
This work was supported by National
Institutes of Health (NIH) Grants HL67274 and HL62881 (to H.G.),
American Heart Association (AHA) Grant 9950459N (to T.C.I.), and an AHA
fellowship (to O.C.). Use of Advanced Photon Source was
supported by the Department of Energy (Grant W-31-109-ENG-38). BioCAT
is an NIH-supported research center (Grant RR08630). We acknowledge Dr
P.P. de Tombe and laboratory members for assistance and use of their
mechanics and setup for x-ray work and Drs S. Labeit, K. Campbell, B.
Slinker, and P.P. de Tombe for discussions. We acknowledge Dr K.
Bischoff for assistance with data analysis and Jennifer
Eldridge for gel
electrophoresis.
Footnotes
Original received December 18, 2000; revision received April 2, 2001; accepted April 2, 2001.
1 Both authors contributed equally to this study. 
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