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Objective: To introduce exponent curve model methods in the study of the hepatitis B vaccine antibody level.
Methods: After the China made vaccine of hepatitis B DNA recombinant yeast derived vaccine (YDV) had been carried out for 5 years, data on the anti-HBsAg's titer were used to construct an exponent curve model. When the vaccination program had been carried out for 8 years, the predicating results of the model were further tested by observed number.
Results: The exponent curve model was Y = 165.67 exp (-0.019X) and the R(2) was 0.98. After 8 years, the practical observed number became 35 mIU/ml, and the predicating result of the model was 27 mIU/ml, 8 mIU/ml lower than the observed number. When the vaccine had been carried out for 12 years, the predicating results of the model became 10.74 mIU/ml, still higher than 10 mIU/ml but was still in the effective range.
Conclusion: An exponent curve model could be constructed, as long as the data of the antibody's titer was in accordance with the tendency of exponent curve. The model could be used to predict the persistence lever of vaccine antibody under certain conditions. The results showed that after 8 years, the predicting results of the model were reliably lower than the observed number.
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Chaos
September 2025
Department of Mathematics, Visva-Bharati, Santiniketan 731235, India.
Biological models are important in describing species interaction, disease spread, and environmental processes. One key aspect in improving the predictive capability of these models is deciding which parametrization is used to formulate the mathematical model. Considering two distinct functions with similar shapes and the same qualitative properties in a model can lead to markedly different model predictions.
View Article and Find Full Text PDFBMC Med Imaging
August 2025
Department of Radiology, The Seventh Affiliated Hospital, Sun Yat-sen University, No.628, Zhenyuan Road, Xinhu Street, Guangming District, Shenzhen, Guangdong, 518107, P.R. China.
Objectives: Reactive stroma plays a pivotal role in the genesis, progression, and metastasis of prostate cancer (PCa). Higher reactive stromal grade (RSG) generally portends a poorer prognosis. The aim of the study is non-invasively evaluate RSG by preoperative mono-exponential model, stretch-exponent model (SEM) and diffusion kurtosis imaging (DKI), and isolate the independent predictor of high RSG (> 50% reactive stroma) in parameters of mono-exponential model, SEM and DKI.
View Article and Find Full Text PDFPurpose: To utilize multiparametric diffusion-weighted imaging (DWI) to detect and quantify renal microstructural alterations in patients with primary aldosteronism (PA) at varying direct renin concentrations (DRC), and to explore the correlations between DWI-derived biomarkers and renal function biochemical indices.
Materials And Methods: This study included 50 patients and 32 healthy controls (HCs). Participants underwent 3.
J Chem Phys
August 2025
Neutron Scattering Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA.
This work introduces a model-independent, dimensionless metric for predicting optimal measurement duration in time-resolved small-angle neutron scattering using early-time data. Built on a Gaussian process regression framework, the method reconstructs scattering profiles with quantified uncertainty, even from sparse or noisy measurements. Demonstrated on the EQ-SANS instrument at the Spallation Neutron Source, the approach generalizes to general SANS instruments with a two-dimensional detector.
View Article and Find Full Text PDFMaterials (Basel)
July 2025
Central Iron and Steel Research Institute Group, Engineering Steel Institute, Beiing 100081, China.
Deep-sea oil and gas pipelines undergo significant plastic strain during reel-lay installation. Additionally, the static strain aging phenomenon that occurs during service can further deteriorate the mechanical properties of the pipelines. This study investigates the plastic deformation mechanism of reel-lay pipeline steel by subjecting the test steel to 5% pre-strain followed by aging treatment at 250 °C for 1 h.
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