This paper presents a study on the development and implementation of a second derivative method for the solution of stiff first order initial value problems of ordinary differential equations using method of interpola...This paper presents a study on the development and implementation of a second derivative method for the solution of stiff first order initial value problems of ordinary differential equations using method of interpolation and collocation of polynomial approximate solution. The results of this paper bring some useful information. The constructed methods are A-stable up to order 8. As it is shown in the numerical examples, the new methods are superior for stiff systems.展开更多
BACKGROUND Liver cancer resection,especially in patients with hemihepatectomy or extended hemihepatectomy,often leads to poor prognosis,such as liver insufficiency and even liver failure and death,because the standard...BACKGROUND Liver cancer resection,especially in patients with hemihepatectomy or extended hemihepatectomy,often leads to poor prognosis,such as liver insufficiency and even liver failure and death,because the standard residual liver volume(SRLV)cannot be fully compensated after surgery.AIM To explore the risk factors of poor prognosis after hemihepatectomy for hepatocellular carcinoma and evaluate the application value of related prognostic approaches.METHODS The clinical data of 35 patients with primary liver cancer in Nantong Third People's Hospital from February 2016 to July 2020 were retrospectively analyzed.The receiver operating characteristic curve was created using medcac19.0.4 to compare the critical values of the SRLV in different stages of liver fibrosis after hemihepatectomy with those of liver dysfunction after hemihepatectomy.It was constructed by combining the Child-Pugh score to evaluate its application value in predicting liver function compensation.RESULTS The liver stiffness measure(LSM)value and SRLV were associated with liver dysfunction after hemihepatectomy.Logistic regression analysis showed that an LSM value≥25 kPa[odds ratio(OR)=6.254,P<0.05]and SRLV≤0.290 L/m^(2)(OR=5.686,P<0.05)were independent risk factors for postoperative liver dysfunction.The accuracy of the new liver reserve evaluation model for predicting postoperative liver function was higher than that of the Child-Pugh score(P<0.05).CONCLUSION SRLV and LSM values can be used to evaluate the safety of hemihepatectomy.The new liver reserve evaluation model has good application potential in the evaluation of liver reserve function after hemihepatectomy.展开更多
文摘This paper presents a study on the development and implementation of a second derivative method for the solution of stiff first order initial value problems of ordinary differential equations using method of interpolation and collocation of polynomial approximate solution. The results of this paper bring some useful information. The constructed methods are A-stable up to order 8. As it is shown in the numerical examples, the new methods are superior for stiff systems.
基金Supported by Nantong Municipal Health Commission,No.MSZ2022036 and No.QN2022041Nantong Science and Technology Bureau,No.JCZ2022036.
文摘BACKGROUND Liver cancer resection,especially in patients with hemihepatectomy or extended hemihepatectomy,often leads to poor prognosis,such as liver insufficiency and even liver failure and death,because the standard residual liver volume(SRLV)cannot be fully compensated after surgery.AIM To explore the risk factors of poor prognosis after hemihepatectomy for hepatocellular carcinoma and evaluate the application value of related prognostic approaches.METHODS The clinical data of 35 patients with primary liver cancer in Nantong Third People's Hospital from February 2016 to July 2020 were retrospectively analyzed.The receiver operating characteristic curve was created using medcac19.0.4 to compare the critical values of the SRLV in different stages of liver fibrosis after hemihepatectomy with those of liver dysfunction after hemihepatectomy.It was constructed by combining the Child-Pugh score to evaluate its application value in predicting liver function compensation.RESULTS The liver stiffness measure(LSM)value and SRLV were associated with liver dysfunction after hemihepatectomy.Logistic regression analysis showed that an LSM value≥25 kPa[odds ratio(OR)=6.254,P<0.05]and SRLV≤0.290 L/m^(2)(OR=5.686,P<0.05)were independent risk factors for postoperative liver dysfunction.The accuracy of the new liver reserve evaluation model for predicting postoperative liver function was higher than that of the Child-Pugh score(P<0.05).CONCLUSION SRLV and LSM values can be used to evaluate the safety of hemihepatectomy.The new liver reserve evaluation model has good application potential in the evaluation of liver reserve function after hemihepatectomy.
