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Biophys J, June 2000, p. 2892-2899, Vol. 78, No. 6


*Research Institute of Neurodegenerative Diseases, Sendai 980-0871;
Department of Physiology, Tohoku University School of
Medicine, Sendai 980-0972;
Institute for Chemical
Research, Kyoto University, Uji 611-0011; §Graduate School
of Material Science, Nara Institute of Science and Technology, Ikoma
630-0101; and ¶Suntory Institute for Bioorganic Research,
Osaka 618-8503, Japan
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ABSTRACT |
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We report that long-chain poly-L-glutamine
forms cation-selective channels when incorporated into artificial
planar lipid bilayer membranes. The channel was permeable to alkali
cations and H+ ions and virtually impermeable to anions;
the selectivity sequence based on the single-channel conductance was
H+
Cs+ > K+ > Na+. The cation channel was characterized by long-lived
open states (often lasting for several minutes to tens of minutes)
interrupted by brief closings. The appearance of the channel depended
critically on the length of polyglutamine chains; ion channels were
observed with 40-residue stretches, whereas no significant conductance changes were detected with 29-residue tracts. The channel-forming threshold length of poly-L-glutamine was thus between 29 and 40 residues. A molecular mechanics calculation suggests a µ-helix (Monoi, 1995
. Biophys. J. 69:1130-1141) as a candidate
molecular structure of the channel. The channel-forming nature of
long-chain poly-L-glutamine may provide a clue to the
elucidation of the pathogenetic mechanism of the polyglutamine
diseases, a group of inherited neurodegenerative disorders including
Huntington's disease.
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INTRODUCTION |
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In the preceding reports (Monoi, 1995
, 1997
), we
formulated, in terms of molecular mechanics, a new tubular, or
pore-forming, single-stranded helix for all-L polypeptides.
This helix, named the µ-helix, has a cylindrical pore along the
longitudinal axis of the helix. The inner wall of the pore is composed
of a hydrogen-bonded network of carbonyl and amino groups of the
polypeptide backbone. The diameter of the pore is 3.7 Å when the
closest-approach radii of C and N atoms are assumed to be 1.45 Å on
average. A pore of this size is sufficient to accommodate small ions
and molecules such as alkali cations and water molecules.
According to conformation-energy calculations (Monoi, 1995
, and
unpublished data), the µ-helix is usually unstable; it is not a
preferred configuration for most polypeptide species. Interestingly, poly-L-glutamine forms a rare exception; the µ-helix of
this polypeptide is expected to be very stable.
Poly-L-glutamine may hence assume a µ-helical structure
and behave as an ion channel if it is incorporated into artificial or
biological lipid bilayer membranes.
In the present work, we experimentally inspected the channel-forming capability of poly-L-glutamine and found that long-chain poly-L-glutamine can actually produce ion channels when it is applied to artificial planar lipid bilayer membranes. The ion channel was cation selective and showed interesting characteristics. This finding suggests possible involvement of the cation channel formed by long-chain poly-L-glutamine in the pathogenesis of the polyglutamine diseases, which comprise Huntington's disease and related inherited neurodegenerative disorders that are caused by the expansion of the CAG trinucleotide repeat (encoding a polyglutamine stretch) present in each causative gene.
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MATERIALS AND METHODS |
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Synthesis of poly-L-glutamine
Poly-L-glutamine was synthesized by the continuous-flow FastMoc solid-phase method on an Applied Biosystems model 433A peptide synthesizer (Perkin-Elmer Corp., Applied Biosystems Division, Foster, CA). The reagents used were as follows: resin, Fmoc-L-Gln(Trt)-Alko resin (Watanabe Chemical Industries, Hiroshima, Japan); amino acid monomer, Fmoc-L-Gln(Trt)-OH; coupling reagent, 2-(1H-benzotriazole-1-yl)-1,1,3,3-tetramethyluronium hexafluorophosphate (HBTU); deprotection reagent, piperidine. After 29 or 40 cycles of coupling, the peptide was uncoupled from the resin and from the trityl protection group by treatment with 95% aqueous trifluoroacetic acid (TFA). Before the cleavage from the resin, the terminal amino group of a portion of the 40-cycle peptide sample was acetylated by acetic anhydride in N-methylpyrrolidone.
In time-of-flight mass spectroscopy (on a Voyager Elite MALDI-TOF mass spectrometer; PerSeptive Biosystems, Framingham, MA), the 29-cycle sample showed two definite peaks corresponding to 29- and 28-residue chains; the 29-residue peak was predominantly higher. The N-unblocked 40-cycle sample exhibited a series of peaks ranging from 40 to 20 residues, with the highest peak at the 40-residue position. The N-acetylated 40-cycle sample was partitioned by adding CH2Cl2 to TFA in which the peptide had been dissolved. The peptide from the lower layer showed 10 definite peaks corresponding to 40 to 31 residues; the peaks were highest at the 40-residue position, decreasing rapidly with the decrease in the chain length. In what follows, the 40- and the 29-cycle sample are simply referred to as 40- and 29-residue poly-L-glutamine.
Single-channel measurement in black lipid membranes
Single-channel experiments were performed at 23 ± 0.5°C. Planar black lipid membranes were formed across a hole (100-200 µm in diameter) in a polypropylene septum separating two aqueous electrolyte solutions in a Teflon chamber. Except for HCl solution, the pH of the chamber solutions was maintained at 7.0-7.3 with 0.2-5 mM HEPES-Tris buffer. All of the inorganic salts used had been roasted at 500°C for 24 h. The membrane-forming solution was asolectin (a mixture of soybean phospholipids) dissolved in n-decane, 2-3% w/v. Asolectin was purchased from Sigma Chemical Co. (St. Louis, MO); (asolectin type IV) and Avanti Polar-Lipids (Alabaster, AL); (soybean phosphatide extract, 20% phosphatidyl choline content, catalog no. 48-7416-01) and partially purified with acetone and diethyl ether.
Transmembrane electrical currents were recorded under voltage-clamp
conditions through a patch-clamp amplifier (Nihon Kohden Co., Tokyo,
Japan; model CEZ-2300). The electrodes were Ag-AgCl; no agar salt
bridges were employed to minimize possible contamination. The
difference in the equilibrium electrode potentials, which is prominent
in the presence of asymmetrical Cl
concentrations, was compensated for electronically.
Poly-L-glutamine was applied to the chamber solution in the
form of dilute aqueous solution (the final concentration was 5-50 pM),
or it was added directly to the lipid-n-decane solution
(usually 0.5-5 pmol/g lipid) in a glass test tube, sonicated on an
ultrasonic cleaner. The two types of experiments gave the same results.
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RESULTS |
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A brief preliminary consideration
minimum polypeptide length for
transmembrane µ-helices
Before examining whether poly-L-glutamine can form ion
channels, we estimated, by molecular modeling, the polypeptide chain length that is sufficient for the µ-helix to span the hydrophobic core of usual lipid bilayers. Atomic coordinate data for the
energy-minimized µ-helix (Monoi, 1995
) indicate that a polypeptide
chain consisting of 37 residues produces, on the backbone basis, a
µ-helix ~30 Å in length (where the chain length is defined as the
distance along the helical axis between the averaged van der Waals
surface of one helix end and that of the other end). Accordingly, the minimum polypeptide chain length for transmembrane µ-helices will be
~37 residues. When dimpling of the bilayer surface occurs at the ends
of the helix, the minimum polypeptide length tends to decrease,
possibly by a few residues at most.
Preparation of poly-L-glutamines of two different chain lengths
On the basis of the above consideration, we synthesized 40- and 29-residue poly-L-glutamines to inspect them for the capability to form ion channels in artificial black lipid membranes. The method of synthesis employed and the qualities of the polyglutamines obtained are detailed in the Materials and Methods section and hence are described here only briefly.
The synthesis of poly-L-glutamine was performed by the continuous-flow FastMoc solid-phase method. Care was taken to maximize coupling yields and minimize side reactions. The terminal amino group of a portion of the 40-residue polyglutamine sample was acetylated. Time-of-flight mass spectroscopy showed that the N-unblocked 40-residue polyglutamine also contains shorter polyglutamine chains that range in length from 39 to 20 residues, with the highest mass peak at 40-residue polyglutamine. After being partitioned between dichloromethane and trifluoroacetic acid, the N-acetylated 40-residue polyglutamine exhibited 10 definite mass peaks corresponding to 40 to 31 residues, with the highest peak at 40-residue polyglutamine. This polyglutamine sample was usually employed for 40-residue experiments, but the N-unblocked 40-residue polyglutamine was also used for comparison. The 29-residue polyglutamine sample consisted predominantly of 29-residue chains.
Detection of single-channel currents; long-lived open states
When 40-residue poly-L-glutamine was applied to lipid bilayer membranes separating two appropriate electrolyte solutions, discrete steplike changes were detected in the transmembrane electrical current. The high, or open, conductance state often lasted for several minutes to tens of minutes with brief closings that were mostly less than a second in duration. Occasionally the open state persisted for more than 1 h. The unit conductance change, or the single-channel conductance, for 1 molal CsCl was 17 ± 2.4 pS (average of the upward and downward deflections for 40 different channels ± SD) at a membrane potential of 100 mV. This value is for N-acetyl poly-L-glutamine. The N-unblocked species, however, gave no significantly different conductance. A typical recording of single-channel current is shown in Fig. 1, which depicts an initial 18-min trace of three superposed open states; they lasted for more than 1 h, being interrupted by closings of varying duration.
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Ion selectivity and current-voltage relationship
To examine the cation-anion selectivity of this ion channel, the
zero-current membrane potential, or the reversal potential, was
measured in the presence of concentration gradients of the same
electrolytes across the membrane. It was
50.2 ± 0.2 mV (mixed average of six measurements for the N-acetyl and
N-unblocked 40-residue chains; the value after the ± sign is SEM) at 23°C for 0.1 versus 1.0 molal solutions of CsCl (the
former was placed on the reference electrode side). This value agrees
with the theoretical cation-induced potential when cations alone are
permeable to the channel. Therefore, the channel is cation selective.
The channel was also permeable to other alkali cations and
H+ ions. The conductance sequence was
H+
Cs+ > K+ > Na+. The
single-channel conductances were 18, 17, 8, and 4 pS, respectively, for
10 mmolal H+ and 1 molal alkali cations at a
membrane potential of 100 mV (the anions were
Cl
throughout).
Fig. 2 shows the dependence of the single-channel current I on the transmembrane potential V in the presence of 1 molal KCl in both sides of the membrane. The I-V curve is supralinear, i.e., concave upward in the positive potential domain and downward in the negative potential domain. The I-V plot is asymmetrical with respect to the zero-potential point. The degree of asymmetry is small but significant.
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Channel-forming threshold length of poly-L-glutamine
The above results are for 40-residue chains. The case was quite different with 29-residue tracts. To examine the channel-forming nature of 29-residue poly-L-glutamine, 70 different black membranes were inspected over a total period of ~110 h. The observation time of one black membrane was usually more than 1 h and did not exceed 2 h. The membranes were previously doped with poly-L-glutamine, the concentration of which was 1-5 pmol/g lipid. The membrane potential was maintained at ±100 mV in the presence of 1 molal CsCl. Under these conditions, no significant changes were detected in the transmembrane current. (Under corresponding conditions, the 40-residue poly-L-glutamine produced more than 100 ion channels.) Therefore, the channel-forming capability of the 29-residue chain, if it exists at all, is very low compared with that of the 40-residue chain. The channel-forming threshold length of poly-L-glutamine is hence between 29 and 40 residues.
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DISCUSSION |
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The polyglutamine diseases
Seven dominantly inherited neurodegenerative disorders are now
known to be caused by the expansion of the CAG trinucleotide repeat
(encoding a polyglutamine stretch) present in each causative gene:
spinobulbar muscular atrophy (or Kennedy's disease) (La Spada et al.,
1991
), Huntington's disease (Huntington's Disease Collaborative
Research Group, 1993
), spinocerebellar ataxia type 1 (Orr et al.,
1993
), dentatorubral-pallidoluysian atrophy (Koide et al., 1994
;
Nagafuchi et al., 1994b
), Machado-Joseph disease (or
spinocerebellar ataxia type 3) (Kawaguchi et al., 1994
), and spinocerebellar ataxia type 2 (Imbert et al., 1996
; Sanpei et al.,
1996
) and type 7 (David et al., 1997
). They are referred to as the
CAG-repeat (or glutamine-repeat) expansion diseases or, simply, the
CAG-repeat (or glutamine- repeat) diseases or the polyCAG (or
polyglutamine) diseases.
In these illnesses, the expanded CAG repeats are located within the
coding regions (La Spada et al., 1991
; Huntington's Disease Collaborative Research Group, 1993
; Orr et al., 1993
; Koide et al.,
1994
; Nagafuchi et al., 1994b
; Kawaguchi et al., 1994
; Imbert et al.,
1996
; Sanpei et al., 1996
; David et al., 1997
) and are translated into
the product proteins (Servadio et al., 1995
; Sharp et al., 1995
;
Trottier et al., 1995
; Yazawa et al., 1995
; Ikeda et al., 1996
). The
disease genes share no homologous domains except the CAG repeats (La
Spada et al., 1991
; Huntington's Disease Collaborative Research Group,
1993
; Orr et al., 1993
; Koide et al., 1994
; Nagafuchi et al., 1994b
;
Kawaguchi et al., 1994
; Imbert et al., 1996
; Sanpei et al., 1996
; David
et al., 1997
). Accumulated evidence indicates that neuronal death can
be caused by expanded glutamine repeats alone. How can long-chain
polyglutamine be toxic?
One of the several common features shared by the seven diseases is the
existence of a narrow and similar threshold in the CAG/glutamine repeat
length for the onset of the diseases. In normal individuals the repeat
length reported is 6-39 glutamines, and in affected individuals,
35-130 glutamines (La Spada et al., 1991
; Huntington's Disease
Collaborative Research Group, 1993
; Orr et al., 1993
; Koide et al.,
1994
; Nagafuchi et al., 1994b
; Kawaguchi et al., 1994
; Imbert et al.,
1996
; Sanpei et al., 1996
; David et al., 1997
; Andrew et al., 1993
;
Barron et al., 1993
; Duyao et al., 1993
; Snell et al., 1993
; Stine et
al., 1993
; Novelletto et al., 1994
; Rubinsztein et al., 1996
; Ranum et
al., 1994
; Komure et al., 1995
). The pathogenetic threshold is hence
~35-39 residues. How can there be such a narrow threshold for the
toxicity of polyglutamine?
Little is known about the molecular mechanism of the pathogenesis of the polyglutamine diseases. Any pathological model for the disorders must explain their common pathological features, which are, besides the problem of the pathogenetic threshold, 1) the gain-of-function nature of the mutation, 2) delayed onset and relentless progression of the disorders, 3) correlation between the repeat length and the age of onset and between the repeat length and the severity of the phenotype, 4) cell death specific to neurons (despite the fact that the disease genes are widely expressed in nonneuronal cells), and 5) death of specific subsets of neurons characteristic of each disorder (even though each disease gene product is expressed in wider areas of the brain).
Suggestion of a novel pathogenetic hypothesis for the diseases: the toxic-channel hypothesis
In this work, we have revealed that long-chain poly-L-glutamine can form characteristic cation channels in vitro. This finding has led us to suggest a novel pathogenetic hypothesis for the polyglutamine diseases, as follows. In cells affected by a polyglutamine disease, causative protein molecules, which have expanded glutamine repeats, will be proteolyzed to yield fragments that contain long polyglutamine stretches. If the same channel species as found in vitro is also produced in vivo from the polyglutamine domains of such fragments, then the cation channel, which has long-lived open states, will dissipate the potential energies of permeant cations across subcellular membranes. Especially in mitochondria, the channel would dissipate the electrochemical proton gradient and the voltage gradient across the inner membrane and would reduce ATP production. In the course of time, the toxic channel will gradually accumulate to a critical level, finally to trigger lethal cascade processes leading to cell death. In this toxic-channel hypothesis, the cation channel formed by poly-L-glutamine assumes a crucial role.
Recent hypotheses proposed so far about the pathogenesis of the
polyglutamine diseases focus on the formation of aggregates (or
complexes) of polyglutamine with itself and/or other intracellular macromolecules. Two major mechanisms have been offered for the aggregation: hydrogen-bond formation involving the amide groups of
glutamine side chains (Perutz et al., 1994
; Stott et al., 1995
) and
covalent bonding catalyzed by transglutaminases (Green, 1993
; Kahlem et
al., 1996
). Although such aggregate formation generally increases with
the expansion of the glutamine repeats (Cooper et al., 1997
; Gentile et
al., 1998
; Kahlem et al., 1998
), it shows no sharp dependence on the
repeat length. Therefore, the aggregation hypotheses cannot
successfully explain the existence of the narrow pathogenetic threshold
in the CAG/glutamine repeat length. Within the framework of the new
hypothesis, the aggregation is secondary or side responses; it might
play a part in the fatal mechanism and/or constitute a cellular
protective device to sequester the toxic polypeptide.
More recently, intranuclear aggregates or inclusions have often been
found in neurons of affected brain regions of polyglutamine disease
patients; those inclusions are immunoreactive for antibodies to
portions of disease proteins and to ubiquitin (e.g., DiFiglia et al.,
1997
; Paulson et al., 1997
). However, evidence now available suggests
that the inclusions are not pathogenetic and, instead, may play a role
in the sequestration of the causative protein (see, e.g., Zoghbi and
Orr, 1999
, for a review).
Explanation of pathological features of the diseases
Within the framework of the toxic-channel hypothesis presented above, the pathogenetic threshold must be approximately equal to the channel-forming threshold length of poly-L-glutamine; or, more properly stated, the former threshold is expected to be longer, more or less, than the latter because intracellular glutamine repeats will be subject to enzymic cleavage. The channel-forming threshold length found above (which was between 29 and 40 residues) agrees approximately with a range expected from the reported range (35-39 residues) of the pathogenetic threshold. Therefore, the hypothesis can explain the existence and approximate magnitude of the pathogenetic threshold.
Evidently, the toxic-channel hypothesis can also account for the gain-of-function nature of the mutation and the delayed onset of the diseases. Taking into account the intracellular proteolysis of glutamine repeats, it can explain the correlation between the repeat length and the age of disease onset and between the repeat length and the severity of disease symptoms.
In the hypothesis, the toxicity of expanded polyglutamine is obviously
not restricted to nerve cells alone. This is consistent with the
observation (Ikeda et al., 1996
) that apoptosis is induced in
nonneuronal cultured COS-7 cells transfected with cDNA containing expanded CAG repeats. In the polyglutamine diseases, however, cell
death is specific to neurons despite the fact that the disease genes
are widely expressed in nonneuronal cells (Li et al., 1993
; Strong et
al., 1993
; Banfi et al., 1994
; Nagafuchi et al., 1994a
). This selective
vulnerability of nerve cells may be attributable, at least in part, to
their long-lived postmitotic nature, which will make them susceptible
to the accumulation of the toxic channels. Cellular processes specific
to neurons, such as excitotoxicity, may also be responsible for their
vulnerability. The problem of region-specific neuronal death, however,
cannot be explained straightforwardly and requires further investigation.
Comparison with other ion channels formed by protein fragments presumed to be neuropathogenic
So far two different polypeptides that are presumed to be involved
in neurodegenerative diseases have been reported to form ion channels
in lipid bilayer membranes: Alzheimer amyloid
protein (1-40)
(Arispe et al., 1993a
,b
) and a peptide fragment (residues 106-126) of
the prion protein (Lin et al., 1997
). The former peptide is a
proteolytic product of amyloid precursor protein and is presumed to be
involved in the pathogenesis of Alzheimer's disease. The latter was
reported to be toxic to cultured neurons (Forloni et al., 1993
; but not
confirmed by Kunz et al., 1999
).
These two species of ion channels share several permeability
characteristics: 1) both are permeable to common physiological cations;
2) they are also permeable to Cl
ion, with
permeability coefficients of 0.1 (amyloid
protein) and 0.4 (prion
fragment) of those for K+ and
Na+ ion, respectively; 3) each shows a linear
current-voltage relationship in the presence of symmetrical solutions;
and 4) they have multiple subconductance states (amyloid
protein)
or widely distributed single-channel conductances (prion fragment), and
their single-channel conductances are large, going up to a few
nanosiemens and hundreds of picosiemens, respectively, at the most.
These characteristics are quite different from those of the ion channel produced by long-chain poly-L-glutamine in all of the points raised above, except for the first point.
The µ-helix as a candidate molecular structure for the toxic channel
What is the molecular structure of the cation channel formed by
poly-L-glutamine? The observed value for the
channel-forming threshold length of this polypeptide (between 29 and 40 residues) is difficult to explain in terms of bundled
-helices and
-barrel structures. As reported above (see the section titled A
brief preliminary consideration), the minimum polypeptide length for transmembrane µ-helices is calculated to be ~37 residues or a few
residues less. Therefore, the observed channel-forming threshold can be
accounted for if the channel has a µ-helical conformation. We suggest
the µ-helix as a candidate molecular structure for the novel channel.
As is also stated above (see the Introduction), a molecular mechanics
calculation implies that poly-L-glutamine, as a rare exception, can form a stable µ-helix. What is the origin of
this exceptional stability? From the results of a detailed energy
analysis presented previously (Monoi, 1995
), this stability can be
ascribed to the presence of a unique conformational motif (here named
the "amide string"), which is a string of side-chain amide groups that are serially hydrogen-bonded to one another. As illustrated in
Fig. 3, each amide group
(CONH2) of the glutaminyl side chains is
hydrogen-bonded to the side-chain amide groups of the sixth residues
before and after it along the primary structure; thus six strings of
side-chain amide groups are formed. The hydrogen-bond length in the
strings is only slightly longer (by 0.08 Å) than that in the main
chain and falls within the range of standard hydrogen-bond length. The
µ-helical main chain itself is not stable (Monoi, 1995
). In the
polyglutamine µ-helix, however, the main chain is stabilized by six
pieces of the amide string motif.
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We here add some comments on the degree of hydrophobicity of the outer
surface of the polyglutamine µ-helix. In the µ-helix, the inner
wall of the central pore is composed of hydrogen-bonded carbonyl and
amino groups of the peptide backbone, and the side chains are situated
outside. As seen in Fig. 3, the outer surface of the polyglutamine
µ-helix is chiefly occupied by hydrogen-bonded amide groups and
-methylene groups. The amide group is considerably hydrophilic by
nature, and hence one might be doubtful about whether the polyglutamine
µ-helix can be incorporated effectively into lipid bilayers. However,
the hydrophobicity of the amide group increases when it is
hydrogen-bonded. According to Roseman (1988)
, the free energy change of
transferring the peptide C==O···H---N hydrogen-bonded group from
water to CCl4 is +0.6 kcal/mol, which is much
less than the corresponding free energy change for a
non-hydrogen-bonded peptide CONH group (+6.1 kcal/mol). Therefore, it
is expected that the outer surface of the polyglutamine µ-helix is
relatively insensitive to solvent polarity.
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CONCLUDING REMARKS |
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In this work we have revealed that long-chain poly-L-glutamine forms a characteristic cation channel. The channel is permeable to monovalent cations, including K+, Na+, and H+ ions, and has a long-lived open state. These characteristics give the channel a cytotoxic nature. In living cells, the cation channel would behave as toxic channel by dissipating the potential energies of the permeant cations across subcellular membranes. Especially in mitochondrial inner membranes, the channel would dissipate the electrochemical proton gradient and the voltage gradient and would reduce ATP production.
For the polyglutamine diseases, there is now a consensus that neuronal death can be produced by expanded polyglutamine alone. Little is known, however, about the molecular mechanism of the pathogenesis of the disorders. From the above considerations, we suggested a novel hypothesis for the pathogenetic mechanism of the disorders. In this hypothesis, the toxic channel formed by glutamine repeats assumes a crucial role.
Another characteristic of the cation channel is that the channel-forming threshold length of poly-L-glutamine is between 29 and 40 residues. The toxic-channel hypothesis thus provides a straightforward explanation for the existence and magnitude of the pathogenetic threshold of the CAG/glutamine repeat length.
Although this study was motivated by the theoretical prediction that poly-L-glutamine may exceptionally produce a stable µ-helix with a tubular shape, the available evidence for the µ-helical structure of the novel channel is circumstantial at present. Further study is now proceeding on this point as well as the question of whether the characteristic cation channel found in vitro is also produced in cells affected by a polyglutamine disease.
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ACKNOWLEDGMENTS |
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HM is grateful to Dr. M. Sokabe (Department of Physiology, Nagoya University School of Medicine, Nagoya, Japan) for technical suggestions on single-channel experiments and to Dr. M. Ishiguro (Suntry Institute of Bioorganic Research, Osaka, Japan) for his great help in preparing Fig. 3.
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FOOTNOTES |
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Received for publication 26 October 1999 and in final form 10 March 2000.
Address reprint requests to Dr. Hiroshi Monoi, Research Institute of Neurodegenerative Diseases, 4-13-13 Hachiman, Sendai 980-0871, Japan. Tel.: 81-22-271-1363; Fax: 81-22-271-1363; E-mail: monoi{at}biology.is.tohoku.ac.jp.
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Biophys J, June 2000, p. 2892-2899, Vol. 78, No. 6
© 2000 by the Biophysical Society 0006-3495/00/06/2892/08 $2.00
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