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Open access

Wu Yan and Fu Jing-Li

Abstract

This paper deals with the Noether’s theory for variable mass system on time scales. The calculus on time scales unifies and extends variable mass system continuous model and discrete model into a single theory. Firstly, Hamilton’s principle of the variable mass system on time scales is given. Secondly, based on the quasi-invariance of the Hamilton’s action under a group of infinitesimal transformations, Noether’s theorem and its inverse theorem of the variable mass system on time scales are presented. Finally, two examples are given to illustrate the applications of the results.

Open access

Xiao-Jing Guo, Li-Li Wei, Xin-Hui Li, Ning- Ning Yu, Shao-Bo Gao, Dong-Yan Qin, Fu-Mei Chu and Kun Li

Abstract

Objective

The aim of this study was to explore the safe and effective method of expectoration in the preoperative period of patients with lung cancer resection and to promote the rehabilitation of patients.

Methods

A total of 100 cases of lung cancer patients undergoing elective surgery were divided into the observation group and the control group, with 50 cases in each group. The control group was treated with vibration expectoration vest for expectoration during the perioperative period, and the observation group was treated with respiratory function exerciser that has expectoration function in the perioperative period, three times a day, and the effect was evaluated after 5 days.

Results

The number of patients in the observation group after the first expectoration time was significantly less than that of the control group (P<0.001). Pain score, pulmonary atelectasis, and pulmonary infection rate of the observation group were significantly lower than those of the control group; the hospitalization time was significantly shorter than that of the control group; and the difference was statistically significant (P<0.05).

Conclusions

Lobectomy for lung cancer patients with perioperative respiratory training for respiratory function exercise, compared with conventional methods, is helpful for postoperative expectoration and to reduce the incidence of adverse events.