Articles concerning mathematical formulation of proliferating cells in well-mixed batch culture are reviewed. An age-structured formulation which takes varying generation times into consideration is shown to be able to explain the partial synchronization observed when the cells in the batch culture are starved. With this formulation, significance of the logarithmic phase is reconsidered. Further, the formulation is applied to describe age-structured population dynamics in fed-drained culture.

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The athletic mouthguard has been used for the prevention of orofacial injuries in contact sports. In this research, the effectiveness of a mouthguard was evaluated for its protection of the maxillary teeth of a human dry skull through experimental modal analysis. The upper central incisor was excited by an electrodynamic shaker. The frequency response functions of the upper teeth were then recorded on an FFT analyzer in order to identify modal shapes of the maxillary arch with and without a mouthguard. In addition, transient response simulations were carried out and decay rates of transient response waves were compared. As a result, when the mouthguard was in place, the resonance peaks of the frequency response functions were dampened, and the nodes of the modal shapes for the anterior teeth were indefinite in the frequency domain over 1 kHz. In the transient response simulation, the decay rates of transient response waves when the mouthguard was used were significantly higher than those when the mouthguard was not used (p<0.01）. The results suggest that the mouthguard relieves the stress concentrated on the anterior teeth in a frontal collision by absorbing and dispersing some of the shock energy, thus quickly stopping the vibration of the maxillary teeth. These findings support the clinical fact that mouthguards prevent orofacial injuries in sporting activities.

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In edentulous patients with maxillary defects, it is difficult to obtain sufficient retention, support, and stability of the obturator prosthesis, in addition, its mobility during various functions is considered to be large. A thorough understanding of the mobility of the obturator prosthesis is important to achieve successful results in the patient's oral rehabilitation. In this study, the ranges of movement of the obturator prostheses in three hemimaxillectomy edentulous patients were compared during tapping, chewing (biscuit), and opening and clenching jaw movements by simultaneously conducting three-dimensional measurements of three points that were established on the central incisor and the right and left first molars of the obturator prosthesis with a jaw movement tracking device having six degrees of freedom. This study indicates that the range of movement of the obturator prosthesis varied extensively from individual to individual. The ranges of movement were larger than those of normal complete dentures and differed considerably from each other when categorized according to the three functions and three measuring points in the patients.

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To investigate the effect of voluntary teeth clenching on the isometric and isokinetic exercises of the lower limbs, the association of muscle strength (peak torque, PT) and muscle activities (integrated electromyographic activity per unit of time, iEMG/s) of the three muscles of the triceps surae with teeth clenching during isometric and isokinetic plantar flexion were simultaneously measured for 12 healthy male volunteers using a Cybex 6000 Extremity Testing and Rehabilitation System and a surface EMG analyzing system. The statistical analysis demonstrated that for the isometric exercise, PT and each iEMG/s significantly increased in association with teeth clenching, and a positive correlation existed between the biting force and each variable. In contrast, no association was found with teeth clenching for the isokinetic exercise. In this study, therefore, it was found that the effect of teeth clenching differed between the isometric and isokinetic exercises.

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To evaluate the vibrational characteristics of the maxillary arch, modal analysis was applied to human subjects. Twelve healthy human subjects and 2 cleft lip and palate (CLP) subjects with surgical failure in their cleft area were chosen for this study. The main measurement system was composed of an impact hammer, acceleration sensor, CF-6400 FFT Analyzer, PC-9821Xn personal computer, and Vibrant PC modal analysis software. The measurement points were established on 12 teeth between the upper first molars on both sides of the mouth in healthy subjects, and on 10 teeth in CLP subjects. In all subjects, one distinct resonance peak was observed in each transfer function at each measurement point. All of the transfer functions of a given subject strongly resembled each other in terms of shape. The amplitude and modal shapes of the maxillary arches of all the subjects were obtained by using a curve-fitting function in the software. In the healthy subjects, the maxillary arch expanded outward and shrank inward on vibration with no node after an impact. In the CLP subjects, the phase lag between the large and small segment was distinctly observed after an impact. In this study, the applicability of modal analysis for human subjects was demonstrated.

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To study the involvement of the Herpes simplex virus type 1 (HSV-1) in patients with Behçet's disease (BD), PCR was used to detect HSV-1 DNA and RNA (LAT, TK, gB) in peripheral blood leukocytes and oral smears from patients with BD. Out of 32 patients with BD and 30 healthy volunteers, HSV-1 specific DNA was not detected in any case. Using a highly sensitive competitive RT-PCR method, HSV-1 specific mRNA was not detected either in peripheral blood leukocytes from any of the patients or volunteers. In contrast, serum levels of IgG anti HSV-1 antibody were higher in patients with BD; however, there were 70% sero-positives among the control subjects. Even though it has been reported that the highly frequent presence of the HSV-1 genome in peripheral blood is a characteristic feature of BD, our results show that the HSV-1 genome and its expression are not present in peripheral blood in patients with BD. We could not find any evidence that the lesions associated with BD were caused by the direct lytic effects of HSV-1.

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