scholarly journals Rational R-matrices, centralizer algebras and tensor identities for e6 and e7 exceptional families of Lie algebras

2007 ◽  
Vol 48 (10) ◽  
pp. 103507
Author(s):  
N. J. MacKay ◽  
A. Taylor
Keyword(s):  
Lie Algebras ◽  
Centralizer Algebras ◽  
E6 And E7 ◽  
Exceptional Families

E6 and E7 oncogene expression by human papilloma virus (HPV) and the aggressive behavior of recurrent laryngeal papillomatosis (RLP)

2006 ◽  
Vol preprint (2007) ◽  
pp. 1
Author(s):  
Bahig Shehata ◽  
Kristen Otto ◽  
Steven Sobol ◽  
Christina Stockwell ◽  
Cora Foulks ◽  
...  
Keyword(s):  
Human Papilloma Virus ◽  
Aggressive Behavior ◽  
Laryngeal Papillomatosis ◽  
Papilloma Virus ◽  
Oncogene Expression ◽  
E6 And E7 ◽  
E7 Oncogene

The rigidity of some solvable Lie algebras

2018 ◽  
Vol 2018 (2) ◽  
pp. 43-49
Author(s):  
R.K. Gaybullaev ◽  
Kh.A. Khalkulova ◽  
J.Q. Adashev
Keyword(s):  
Lie Algebras ◽  
Solvable Lie Algebras

Integrable two-dimensional dynamical systems and the characteristic Lie algebras

2007 ◽  
Vol 5 ◽  
pp. 195-200
Author(s):  
A.V. Zhiber ◽  
O.S. Kostrigina
Keyword(s):  
Dynamical System ◽  
Dynamical Systems ◽  
Lie Algebra ◽  
Lie Algebras ◽  
Second Order ◽  
System Of Equations ◽  
Two Dimensional ◽  
Finite Dimensional ◽  
Dimensional Dynamical System

In the paper it is shown that the two-dimensional dynamical system of equations is Darboux integrable if and only if its characteristic Lie algebra is finite-dimensional. The class of systems having a full set of fist and second order integrals is described.

Reduction of partially invariant submodels of rank 3 defect 1 to invariant submodels

2018 ◽  
Vol 13 (3) ◽  
pp. 59-63 ◽  
Author(s):  
D.T. Siraeva
Keyword(s):  
Equation Of State ◽  
Lie Algebra ◽  
Lie Algebras ◽  
Gas Dynamics ◽  
Hydrodynamic Type ◽  
System Of Equations ◽  
Two Dimensional ◽  
Equations Of Gas Dynamics ◽  
Entropy Functions

Equations of hydrodynamic type with the equation of state in the form of pressure separated into a sum of density and entropy functions are considered. Such a system of equations admits a twelve-dimensional Lie algebra. In the case of the equation of state of the general form, the equations of gas dynamics admit an eleven-dimensional Lie algebra. For both Lie algebras the optimal systems of non-similar subalgebras are constructed. In this paper two partially invariant submodels of rank 3 defect 1 are constructed for two-dimensional subalgebras of the twelve-dimensional Lie algebra. The reduction of the constructed submodels to invariant submodels of eleven-dimensional and twelve-dimensional Lie algebras is proved.

E6 and E7 oncoproteins: Potential targets of cervical cancer

2020 ◽  
Vol 27 ◽  
Author(s):  
Ramarao Malla ◽  
Mohammad Amjad Kamal
Keyword(s):  
Cervical Cancer ◽  
Drug Resistance ◽  
Host Cell ◽  
Molecular Mechanisms ◽  
Immune Therapy ◽  
Cervical Lesions ◽  
Diagnostic Strategies ◽  
E6 And E7 Oncoproteins ◽  
E6 And E7

: Cervical cancer (CC) is the fourth leading cancer in women in the age group 15-44 globally. Experimental as well as epidemiological studies identified that type16 and 18 HPV cause 70% of precancerous cervical lesions as well as cervical cancer worldwide by bringing about genetic as well as epigenetic changes in the host genome. The insertion of the HPV genome triggers various defense mechanisms including the silencing of tumor suppressor genes as well as activation of oncogenes associated with cancer metastatic pathway. E6 and E7 are small oncoproteins consisting of 150 and 100 amino acids respectively. These oncoproteins affect the regulation of the host cell cycle by interfering with p53 and pRb. Further these oncoproteins adversely affect the normal functions of the host cell by binding to their signaling proteins. Recent studies demonstrated that E6 and E7 oncoproteins are potential targets for CC. Therefore, this review discusses the role of E6 and E7 oncoproteins in metastasis and drug resistance as well as their regulation, early oncogene mediated signaling pathways. This review also uncovers the recent updates on molecular mechanisms of E6 and E7 mediated phytotherapy, gene therapy, immune therapy, and vaccine strategies as well as diagnosis through precision testing. Therefore, understanding the potential role of E6/E7 in metastasis and drug resistance along with targeted treatment, vaccine, and precision diagnostic strategies could be useful for the prevention and treatment of cervical cancer.

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