李Color代数的扭上圈

本文主要研究复数域上有限维李color代数的(α,β,γ)-导子,得到李color代数的(α,β,γ)-导子的一些重要性质.应用给定的复参数,推广李color代数上圈,并且得出了一类李color代数的1-上圈等价于其(α,β,γ)-导子.另外,对伴随表示的二维扭上圈也进行了详细的研究.

Study on the relationship between relieving energy crisis in myofascial trigger points with An-Pressing manipulation and AMPK/PGC-1α pathway activation

Objective To explore the mechanism of An-Pressing manipulation in relieving energy crisis in chronic myofascial trigger points(MTrPs)by observing the effects of An-Pressing manipulation on adenosine triphosphate(ATP),adenosine 5′-monophosphate(AMP)-activated protein kinase(AMPK)/peroxisome proliferator-activated receptorγcoactivator 1α(PGC-1α)pathway and mitochondrial ultrastructure of skeletal muscle cells in MTrPs rats.Methods Forty-eight male Sprague-Dawley rats were randomly divided into a blank group,a model group,a lidocaine group,and an An-Pressing manipulation group,with 12 rats in each group.The model group,lidocaine group and An-Pressing manipulation group were used to replicate the MTrPs rat model by blunt shock and centrifugal motion method.After modeling,the An-Pressing manipulation group was subjected to 7 times An-Pressing manipulation,once every other day;the lidocaine group was treated with 3 times of injection of lidocaine at the MTrPs,once every 6 d.The blank group and the model group were fed normally without intervention.After the intervention,local muscle tissue was taken to detect the content of ATP and the expression of AMPK,phosphorylated AMPK(phospho-AMPK),PGC-1α,and glucose transporter 4(GluT4),and the ultrastructure of mitochondria was observed under an electron microscope.Results Compared with the blank group,the ATP content in the model group was decreased(P<0.05),the protein expression levels of phospho-AMPK,PGC-1α,and GluT4 and the ratio of phospho-AMPK to AMPK were decreased(P<0.05);under the electron microscope,the number of mitochondria decreased,and they were deformed,small in volume,and had deformed cristae.Compared with the model group,the ATP contents in the An-Pressing manipulation group and the lidocaine group were increased(P<0.05),and the protein expression levels of phospho-AMPK,PGC-1α,and GluT4 and the ratio of phospho-AMPK to AMPK were increased(P<0.05);under the electron microscope,the number of mitochondria increased,the shape and size of the mitochondria were basically normal,and the cristae could be seen.Compared with the lidocaine group,phospho-AMPK and the ratio of phospho-AMPK to AMPK in the An-Pressing manipulation group were increased(P<0.05);under the electron microscope,the numbers of mitochondria were similar,and the shape and size of the mitochondria were basically normal without swelling,and the cristae could be observed.Conclusion An-Pressing manipulation can increase the ATP content in MTrPs tissue,improve the expression levels of PGC-1α and GluT4 proteins and the ratio of phospho-AMPK to AMPK;its mechanism may relate to the activation of AMPK/PGC-1α signaling pathway to promote the repair of mitochondrial damages.