Multiple pendulum and nonuniform distribution of average kinetic energy.

Multiple pendulums are investigated numerically and analytically to clarify the nonuniformity of average kinetic energies of particles. The nonuniformity is attributed to the system having holonomic constraints and it is consistent with the generalized principle of the equipartition of energy. With the use of explicit expression for Hamiltonian of a multiple pendulum, approximate expressions for temporal and statistical average of kinetic energies are obtained, where the average energies are expressed in terms of masses of particles. In a typical case, the average kinetic energy is large for particles near the end of the pendulum and small for those near the root. Moreover, the exact analytic expressions for the average kinetic energy of the particles are obtained for a double pendulum.

Proteolytic ectodomain shedding of muscle-specific tyrosine kinase in myasthenia gravis.

Autoantibodies to muscle-specific tyrosine kinase (MuSK) proteins at the neuromuscular junction (NMJ) cause refractory generalized myasthenia gravis (MG) with dyspnea more frequently than other MG subtypes. However, the mechanisms via which MuSK, a membrane protein locally expressed on the NMJ of skeletal muscle, is supplied to the immune system as an autoantigen remains unknown. Here, we identified MuSK in both mouse and human serum, with the amount of MuSK dramatically increasing in mice with motor nerve denervation and in MG model mice. Peptide analysis by liquid chromatography-tandem-mass spectrometry (LC-MS/MS) confirmed the presence of MuSK in both human and mouse serum. Furthermore, some patients with MG have significantly higher amounts of MuSK in serum than healthy controls. Our results indicated that the secretion of MuSK proteins from muscles into the bloodstream was induced by ectodomain shedding triggered by neuromuscular junction failure. The results may explain why MuSK-MG is refractory to treatments and causes rapid muscle atrophy in some patients due to the denervation associated with Ab-induced disruption of neuromuscular transmission at the NMJ. Such discoveries pave the way for new MG treatments, and MuSK may be used as a biomarker for other neuromuscular diseases in preclinical studies, clinical diagnostics, therapeutics, and drug discovery.

Dynamically induced conformation depending on excited normal modes of fast oscillation.

We present dynamical effects on conformation in a simple bead-spring model consisting of three beads connected by two stiff springs. The conformation defined by the bending angle between the two springs is determined not only by a given potential energy function depending on the bending angle, but also by fast motion of the springs which constructs the effective potential. A conformation corresponding with a local minimum of the effective potential is hence called the dynamically induced conformation. We develop a theory to derive the effective potential using multiple-scale analysis and the averaging method. A remarkable consequence is that the effective potential depends on the excited normal modes of the springs and amount of the spring energy. Efficiency of the obtained effective potential is numerically verified.

Emergence of quasiequilibrium state and energy distribution for the beads-spring molecule interacting with a solvent.

We study the energy distribution during the emergence of a quasiequilibrium (QE) state in the course of relaxation to equipartition in slow-fast Hamiltonian systems. A bead-spring model where beads (masses) are connected by springs is considered. The QE lasts for a long time because the energy exchange between the high-frequency vibrational and other motions is prevented when springs in the molecule become stiff. We numerically calculated the time-averaged kinetic energy and found that the kinetic energy of the solvent particles was always higher than that of the bead in a molecule. This is explained by adopting the equipartition theorem in QE, and it agrees well with the numerical results. The energy difference can help determine how far the system is from achieving equilibrium, and it can be used as an indicator of the number of frozen or inactive degrees existing in the molecule.

Physical Disabilities Related to the Depressive Mental States of Japanese Patients with Subacute Myelo-optico-neuropathy.

Objective The aim of this study was to clarify the clinical conditions related to the depressive mental states in Japanese patients with subacute myelo-optico-neuropathy (SMON), caused by clioquinol intoxication more than 40 years previously. Methods The changes in the mental states with aging were investigated in 25 Japanese SMON patients (mean age: 77.2 years old, range: 53-90) using a Japanese version of the Zung Self-rating Depression Scale (J-SDS) questionnaires with supportive interviews by the clinical psychotherapist and medical checkup records. These mental and medical examinations were repeated more than twice within 2 to 11 years' interval. The J-SDS questionnaires were also examined in 25 age-matched non-SMON elderly people. Results The total J-SDS scores of most of the SMON patients decreased with age without significant changes in the mean Barthel index scores during this study period. The mean J-SDS scores at the first and latest studies were significantly higher than in the age-matched healthy elderly people. The total J-SDS scores of the latest study were significantly correlated with the degree of physical disability, such as the inverse total Barthel index scores, severity of SMON or gait disturbance, but not with the age. Conclusion The total J-SDS scores of most of the SMON patients tended to decrease with age. Repeating mental supportive interviews and medical examinations by experts helped to improve the depressive mental state and revealed close relationship between the mental state and the physical disabilities of the SMON patients.

The Aggravation of Depression with Aging in Japanese Patients with Subacute Myelo-optico-neuropathy (SMON).

Objective We attempted to clarify the factors related to the aggravation of depression in patients with subacute myelo-optico-neuropathy (SMON) caused by clioquinol intoxication more than 35 years previously. Methods We investigated changes in the depressive mental states that occurred with aging in 19 Japanese SMON patients (mean age, 78.3 years; range, 66-89 years) according to their scores on the Japanese version of the Zung Self-rating Depression Scale (SDS), which were obtained 3-10 years previously and their current scores. The depressive state was further evaluated using simultaneous semi-structured interviews. Results The depressive mental states of 6 patients, whose current total SDS scores had increased by ≥10% in comparison to the previous score, were considered to have been aggravated with aging. The mean current total SDS score of these six patients was significantly higher than the mean score of the 13 patients whose conditions were not aggravated. Among the 20 SDS questionnaires, the patients whose conditions were aggravated showed significantly higher scores in diurnal variation, sleep disturbance and weight loss. The semi-structured interviews revealed that physical disabilities due to the sequelae of SMON, a lack of acceptance of SMON, and a decline in social activities were important factors in the aggravation of their depressive mental states with aging. Conclusion The maintenance of social activities with public support was important for coping among Japanese SMON patients with a depressive mental state, especially those who could not walk independently or who could not go outside freely without assistance.

Multistage slow relaxation in a Hamiltonian system: The Fermi-Pasta-Ulam model.

The relaxation process toward equipartition of energy among normal modes in a Hamiltonian system with many degrees of freedom, the Fermi-Pasta-Ulam (FPU) model is investigated numerically. We introduce a general indicator of relaxation σ which denotes the distance from equipartition state. In the time evolution of σ, some long-time interferences with relaxation, named "plateaus," are observed. In order to examine the details of the plateaus, relaxation time of σ and excitation time for each normal mode are measured as a function of the energy density ε0=E0/N. As a result, multistage relaxation is detected in the finite-size system. Moreover, by an analysis of the Lyapunov spectrum, the spectrum of mode energy occupancy, and the power spectrum of mode energy, we characterize the multistage slow relaxation, and some dynamical phases are extracted: quasiperiodic motion, stagnant motion (escaping from quasiperiodic motion), local chaos, and stronger chaos with nonthermal noise. We emphasize that the plateaus are robust against the arranging microscopic state. In other words, we can often observe plateaus and multistage slow relaxation in the FPU phase space. Slow relaxation is expected to remain or vanish in the thermodynamic limit depending on indicators.

[A case of refractory generalized myasthenia gravis with anti-acetylcholine receptor antibodies treated with rituximab].

We report a case of a 57-year-old woman with thymoma-associated generalized myasthenia gravis (MG) showing severe bulbar and respiratory symptoms, moderate weakness of the neck muscles, and mild weakness of extremity muscles. Corticosteroid treatment with various types of immunosuppressive agents, such as cyclosporine, tacrolimus, and azathioprine, did not improve her symptoms. Plasma exchange transiently improved her symptoms, and she was required to undergo plasmapheresis every 4 weeks. At first, cyclophosphamide pulse therapy was administered, which improved her symptoms transiently. Thereafter, rituximab (RTX) was administered. Six months after RTX administration, respiratory distress and dysphagia improved gradually, and reduction in the dosage of corticosteroids from 30 mg/day to 10 mg/day did not result in symptom deterioration. Therefore, the interval between successive plasmapheresis treatments was increased from 4 to 9 weeks 19 months after the first RTX administration. During a 26-month period from the first administration of RTX, the number of CD20+ B cells in peripheral blood decreased and remained at 0% to 26% of that before RTX treatment. The titer of anti-acetylcholine receptor antibodies did not change during the first course of treatment (0.6-0.9 nmol/l). The clinical symptom worsened with the increase of the number of CD20+ B cells in peripheral blood in the 27 month after 1st RTX administration. Therefore, RTX was administered a second time, after which the patient's clinical symptoms again improved gradually. The titer of anti-acetylcholine receptor antibodies came to be stable with 0.5-0.7 nmol and low level during the 2nd course. Corticosteroids could be discontinued in the 16th month. The findings suggest that RTX can be one of the choices for pharmacological therapy in patients with intractable MG accompanied by the presence of anti-acetylcholine receptor antibodies.

Epileptic seizures in Japanese patients with multiple sclerosis and neuromyelitis optica.

PURPOSE: To examine the incidence and clinical features of epileptic seizures in Japanese patients with multiple sclerosis (MS) and neuromyelitis optica (NMO). METHODS: We reviewed medical records of all patients who visited the Neurology Clinic in Utano National Hospital between January and December, 2009, and enrolled 63 MS patients who fulfilled the McDonald criteria (2005) (mean age, 41.1 years) and 31 NMO patients who fulfilled the Wingerchuk criteria (2006) (mean age, 44.6 years). Patients with a history of epileptic seizures were selected and their clinical features were obtained. RESULTS: Four MS patients (6.3%; 2 men and 2 women; mean age, 32.5 years) and 4 NMO patients (12.9%; 4 women; mean age, 36.0 years) had epileptic seizures. Disease onset age of MS patients with seizures was significantly younger than those without seizures by 13.1 years, and Expanded Disability Status Scale of NMO patient with seizures was significantly higher than those without seizures by 2.2. All 8 patients showed brain lesions on magnetic resonance imaging and 2 MS patients had tumefactive demyelinating lesions. Electroencephalography showed interictal epileptiform discharges in 5 patients. Seizure types of 6 patients were recognized as partial seizures based on clinical semiology. All patients responded to antiepileptic therapy well. In both MS and NMO, there were both seizures with and without concurrent relapse. CONCLUSIONS: Similar to MS, NMO patients possibly have higher risk to develop epileptic seizures than general population.

3,4-Diaminopyridine improves neuromuscular transmission in a MuSK antibody-induced mouse model of myasthenia gravis.

This study investigated the effect of 3,4-diaminopyridine (3,4-DAP), a potent potentiator of transmitter release, on neuromuscular transmission in vivo in a mouse model of myasthenia gravis (MG) caused by antibodies against muscle-specific kinase (MuSK; MuSK-MG) and ex vivo in diaphragm muscle from these mice. 3,4-DAP significantly improved neuromuscular transmission, predominantly by increasing acetylcholine (ACh) release, supporting presynaptic potentiation as an effective treatment strategy for MuSK-MG patients who have defective transmitter release. In MuSK-MG, we suggest that only low-dose acetylcholinesterase (AChE) inhibitors be used to avoid side effects, and we propose that 3,4-DAP may be effective as a symptomatic therapy.

Antibodies against muscle-specific kinase impair both presynaptic and postsynaptic functions in a murine model of myasthenia gravis.

Antibodies against acetylcholine receptors (AChRs) cause pathogenicity in myasthenia gravis (MG) patients through complement pathway-mediated destruction of postsynaptic membranes at neuromuscular junctions (NMJs). However, antibodies against muscle-specific kinase (MuSK), which constitute a major subclass of antibodies found in MG patients, do not activate the complement pathway. To investigate the pathophysiology of MuSK-MG and establish an experimental autoimmune MG (EAMG) model, we injected MuSK protein into mice deficient in complement component five (C5). MuSK-injected mice simultaneously developed severe muscle weakness, accompanied by an electromyographic pattern such as is typically observed in MG patients. In addition, we observed morphological and functional defects in the NMJs of EAMG mice, demonstrating that complement activation is not necessary for the onset of MuSK-MG. Furthermore, MuSK-injected mice exhibited acetylcholinesterase (AChE) inhibitor-evoked cholinergic hypersensitivity, as is observed in MuSK-MG patients, and a decrease in both AChE and the AChE-anchoring protein collagen Q at postsynaptic membranes. These findings suggest that MuSK is indispensable for the maintenance of NMJ structure and function, and that disruption of MuSK activity by autoantibodies causes MG. This mouse model of EAMG could be used to develop appropriate medications for the treatment of MuSK-MG in humans.

Efficacy and tolerance of gastrostomy feeding in Japanese muscular dystrophy patients.

Although muscular dystrophy patients often have feeding difficulty and need long-term enteral nutrition, only a few reports have described gastrostomy feeding in these patients. This study was designed to evaluate the efficacy and tolerance of gastrostomy feeding in patients with muscular dystrophy. We performed a retrospective, multicenter study on 144 patients with muscular dystrophy who received gastrostomy feeding between 2007 and 2009 in 25 neuromuscular centers in Japan. There were 77 Duchenne muscular dystrophy (median age at gastrostomy placement 26 years, range 13-47 years), 40 myotonic dystrophy (median age 54.5 years, range 13-70 years), 11 Fukuyama congenital muscular dystrophy (median age 22 years, range 13-29 years), 5 limb girdle muscular dystrophy (median age 62 years, range 43-78 years), and 5 facioscapulohumeral muscular dystrophy (median age 52 years, range 28-67 years) patients. Many benefits including amelioration of malnutrition, swallowing difficulty and respiratory status were observed after the introduction of gastrostomy feeding. Especially in patients with Duchenne muscular dystrophy, mean body weight significantly increased after gastrostomy placement. Although most complications, which are commonly observed in other populations, were tolerable, respiratory failure and peritonitis were important concerns. These findings suggest that gastrostomy placement at an appropriate time is advisable in patients with muscular dystrophy.

[Myasthenia gravis with anti-acetylcholine receptor antibody or anti-muscle specific kinase antibody].

Patients with myasthenia gravis (MG) are divided into 3 groups: anti-acetylcholine receptor antibody-positive MG (AChR MG), anti-muscle specific kinase antibody-positive MG (MuSK MG), and AChR-and MuSK-negative MG (double seronegative MG; double SNMG). A recent study on the detection of low-affinity antibodies binding to AChR showed the presence of AChR antibodies in about 70% of double SNMG patients. There is accumulating evidence that double SNMG patients are similar to AChR-MG patients with respect to clinical features and thymic pathology. Since most MG patients are thought to belong to the AChR-MG or MuSK-MG group of patients, this article reviews the pathophysiology, clinical features, and treatments in these 2 groups of MG patients. The pathophysiology of AChR-MG is closely related to the abnormal thymic pathology, such as thymic hyperplasia or presence of thymoma, and thy(mo)mectomy is recommended in patients with generalized AChR-MG. On the contrary, little thymic abnormality in patients with MuSK-MG discourages thymectomy; however, MuSK-MG patients do respond to thymectomy and therefore studies to define the indications of thymectomy in MuSK-MG patients are required. The responses to cholinesterase inhibitors are poor in patients with MuSK-MG, and these patients tend to show hyperactivity to the Tensilon test, such as fasciculation of facial muscles and stuffy sensation in the throat. The adverse responses to a small dose of intravenous edrophonium chloride injection may support the clinical diagnosis of MuSK-MG. Further, only small doses of acetylcholinesterase inhibitors are administered to patients with MuSK-MG in order to avoid cholinergic hyperactivity. In general, both types of MG patients respond well to treatments with immunosuppressants, including steroids, but some patients with MuSK-MG show persistent bulbar symptoms.

Clinicopathologic study on an ALS family with a heterozygous E478G optineurin mutation.

We investigated a family manifesting amyotrophic lateral sclerosis (ALS) with a heterozygous E478G mutation in the optineurin (OPTN) gene. Clinically, slow deterioration of motor function, mood and personality changes, temporal lobe atrophy on neuroimaging, and bizarre finger deformity were noted. Neuropathologically, TAR DNA-binding protein 43 (TDP-43)-positive neuronal intracytoplasmic inclusions were observed in the spinal and medullary motor neurons. In these cells, the immunoreactivity of nuclear TDP-43 was reduced. Consecutive sections revealed that the inclusions were also reactive with anti-ubiquitin and anti-p62 antibodies, but noticeably negative for OPTN. In addition, TDP-43/p62-positive glial cytoplasmic inclusions (GCIs) were scattered throughout the spinal cord and the medullary motor nuclei. Furthermore, Golgi fragmentation was identified in 70% of the anterior horn cells (AHCs). The presence of AHCs with preserved nuclear TDP-43 and a fragmented Golgi apparatus, which are unrecognizable in sporadic ALS, indicates that patients with the E4787G OPTN mutation would manifest Golgi fragmentation before loss of nuclear TDP-43. In the neocortex, GCIs were sparsely scattered among the primary motor and temporal cortices, but no neuronal TDP-43-positive inclusions were detected. In the amygdala and the ambient gyrus, argyrophilic grains and ballooned neurons were seen. The thorough neuropathologic investigations performed in this work demonstrated that OPTN-positive inclusion bodies, if any, were not prominent. We postulate that optineurinopathy is closely linked with TDP-proteinopathy and speculate that this heterozygous E478G mutation would cause ALS by acting through a dominant-negative mechanism.

CD8CD11a(high) cells decreased in multiple sclerosis but not in neuromyelitis Optica.

In order to clarify the immunological characteristics of multiple sclerosis (MS) and neuromyelitis optica (NMO), we analyzed CD3, CD4, CD8, CD20, CD4(+)CD25(+), CD4(+)CD29(+), and CD8(+)CD11a(high) cells in peripheral blood from patients with MS (16 stable, 6 active) and NMO (15 stable, 7 active), as well as 9 with NMO spectrum, 6 with clinically isolated syndrome (CIS), and 13 with other neurological diseases using flow cytometry. Significant decreases in the numbers of CD8(+) CD11a(high) cells were observed in stable and active MS and CIS. Our findings indicate that CD8(+)CD11a(high) cells play different roles in MS and NMO, and their presence may be related to the pathogenesis of MS from the early stage.

[Effects of acetylcholinesterase inhibitors on patients with MuSK antibody positive myasthenia gravis].

In order to clarify the clinical characteristics and effects of acetylcholinesterase inhibitors of patients with generalized myasthenia gravis with antibodies to muscle specific kinase (MuSK), we investigated seven patients with MuSK antibodies and eleven patients without both antibodies of acetylcholine receptor and MuSK. All patients with MuSK antibodies showed bulbar symptoms, which frequency was significantly higher compared to those in patients without double antibodies. The frequency of positive result of Tensilon test was significantly lower in patients with MuSK antibodies than in those without double antibodies. In response to intravenous edrophonium chloride, MuSK positive patients showed adverse reactions in a small dosage of edrophonium chloride, less than 5 mg, such as fasciculation on facial muscles and stuffy sensation of throat. The adverse responses to a small dosage of intravenous edrophonium chloride injection is useful information to distinguish patients with seronegative generalized MG, whether they have MuSK antibodies or not. When acetylcholinesterase inhibitors medication is tried to patients with MuSK antibodies, if necessary, a small dosage of inhibitors should be used to avoid cholinergic hypersensitivity.

[Trial of rituximab in three patients with neuromyelitis optica].

Patients with relapsing neuromyelitis optica (NMO) showing contiguous long spinal cord lesions extending over three vertebral segments on the MRI and with positive anti-aquaporin 4 antibodies in sera are usually treated with glucocorticoids or azathioprine. However, some NMO patients even after adequate treatments show relapses. Rituximab (anti-CD 20) therapy has recently been reported to inhibit relapses. We used rituximab to treat three NMO patients defined by the revised NMO criteria of Wingerchuk et al, with rituximab for 2 years and 3 months (mean) at an intervals of about nine months. The annualized relapse rate for the 3 patients during the year before rituximab therapy was 4, 5, and 6, respectively, and this decreased to 3, 1, and 0 in the year after therapy. Case 1 showed three relapses after therapy: however, the symptoms and signs of each of the relapses were milder and the patient showed good responses to steroid pulse therapy. One year after therapy, relapses had disappeared in all cases (observation periods; 18, 18, and 9 months, respectively). After rituximab therapy, these NMO patients showed a decreased mean annualized relapse rate (from 5.0 to 0.6) and EDSS score (from 8.7 to 8.0) after rituximab therapy. No adverse effects were seen. We recommend rituximab therapy for NMO patients resistant to other immunosuppressive therapies such as oral glucocorticoid administration introduced after a severe relapse. However, during long term rituximab treatment, attention needs to be given to infections such as progressive multifocal leucoencephalopathy.

Depression in patients with subacute myelo-optico-neuropathy (SMON).

OBJECTIVE: We investigated the psychiatric disorders in subacute myelo-optico-neuropathy (SMON) patients by structured interview. The prevalence of major depressive disorder in SMON patients was estimated by structured interview and using Beck's depression inventory (BDI) questionnaires. MATERIALS AND METHODS: Psychiatric conditions were evaluated in 26 SMON patients (9 males, 17 females, mean age 70.7 years) living in Kyoto prefecture through a structured interview given by psychiatrists. BDI questionnaires and clinical symptoms of SMON were investigated in 106 patients, ranging from 51 to 91 years in age (mean, 73.5) with SMON patients living in Kinki area. BDI questionnaires were obtained from 92 age-matched aged healthy people, ranging from 57 to 91 years in age (mean, 75.8), living in Kyoto city. RESULTS: Among the psychiatric disorders in SMON patients, the prevalence of major depressive disorder and suicidal ideation significantly increased during the period of clioquinol intake and four patients (15.4%) out of 26 SMON patients still suffer from major depressive disorder. The prevalence of major depressive disorder in SMON patients was estimated at 15.1% (16/106) and this percentage was about seven times as frequent as in the age-matched aged healthy people (2.2%; 2/92). In female SMON patients, the degree of the depressive states was significantly correlated with the severe degree of dysesthesia of the lower extremities, and it was inversely correlated with the duration of SMON disease and the total scores of the Barthel index. CONCLUSION: This is the first report that shows the prevalence of major depressive disorder in SMON patients at present, which was seven times more frequent than age-matched aged healthy persons.

[Myasthenia gravis induced by autoantibodies against MuSK].

Myasthenia gravis (MG) is caused by the failure of neuromuscular transmission mediated by autoantibodies. That is, the binding of autoantibodies to postsynaptic membranes in neuromuscular junctions (NMJ) results in weakening of the ocular, bulbar and limb muscles and produces the characteristic syndrome of MG. About 80 to 85% of patients witth MG have autoantibodies against acetylcholine receptors (AChR). Antibodies against muscle-specific kinase (MuSK) have been found in 30% of MG patients without AChR antibodies. Here we describe recent progress toward understanding the pathogenic role of MuSK antibodies in the decline of muscle strength that typifies MG.

[Plasmapheresis in patients with myasthenia gravis].

This review describes the three ways of plasmapheresis in patients with myasthenia gravis: plasma exchange (PE), double filtration plasmapheresis (DFP) and immunoadsorption (IA). DFP or IA was used for selective removal of antibodies to acetylcholine receptor without replacement of albumin. Plasmapheresis is indicated in patients with myasthenic crisis or before thymectomy. Comparative studies between plasmapheresis and high-dose of intravenous immunoglobulin (IVIG) showed similar transient improvement on myasthenic symptoms up to 4 to 8 weeks. Rapid improvement was obtained by plasmapheresis. In Japan, nation-wide randomized open clinical trial of IVIG is now going on to evaluate the clinical effectiveness of this therapy on moderately involved generalized myasthenia gravis. It is aimed to obtain the license of the government for the usage of this therapy.