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Abstract Background The relationship between plasma tenofovir (TFV) concentration at the beginning of tenofovir disoproxil fumarate (TDF) administration and the development of renal dysfunction during long-term administration of TDF has not been demonstrated yet. The objective of the present study was to determine whether plasma TFV trough concentrations during early TDF administration could serve as an indicator of renal dysfunction when TDF is administered for long periods. Methods We included 149 HIV-1 infected Japanese patients who were prescribed TDF. We investigated the relationship between plasma TFV trough concentrations and the rate of discontinuation due to the development of renal dysfunction for up to five years after the start of TDF administration. We also examined how the decrease in renal function over time due to TDF administration was related to factors associated with high TFV levels and plasma TFV trough concentrations. Results The median TFV trough concentration in the TDF discontinuation group was 88 ng/mL, which was significantly higher (p = 0.0041), than that in the continuation group (72 ng/mL). Further, using an ROC curve, the cut-off value for TFV trough concentration at which TDF discontinuation was significantly high was found to be 98 ng/mL. Logistic multivariate analysis of factors associated with discontinuation of TDF due to renal function-related adverse events showed that being ≥ 50 years old (OR = 2.96; 95% CI, 1.01–8.64), having eGFR

To improve ride comfort, an oil damper should restrain its damping force in a high-velocity range. A lot of dampers with such properties were developed. For example, the one controlling the flux of oil by a leaf valve is widely adapted and reasonable. However, it is difficult to represent its dynamics with a simple mathematical model, and the cost of a computational fluid dynamics is too expensive. To overcome the disadvantages, the first author in [15] developed the other mechanical oil damper with sub-pistons instead of the leaf valve, which enabled us to propose a simple mathematical model with linear ordinary differential equations, thanks to the simple mechanism to control the oil flow. In this article, we give a more detailed mathematical model for the damper taking the dynamic pressure resistance into account, which is represented by nonlinear ordinary differential equations. In addition, a numerical scheme for the model is also proposed and its mathematical analysis such as the validity of the numerical solutions is shown.