The concept of normal form is used to study the dynamics of non-linear systems. In this work we describe the normal form for vector fields on 3 × 3 with linear nilpotent part made up of coupled R3n Jordan blocks....The concept of normal form is used to study the dynamics of non-linear systems. In this work we describe the normal form for vector fields on 3 × 3 with linear nilpotent part made up of coupled R3n Jordan blocks. We use an algorithm based on the notion of transvectants from classical invariant theory known as boosting to equivariants in determining the normal form when the Stanley decomposition for the ring of invariants is known.展开更多
Aim: Disturbed alternative splicing of far upstream element-binding protein-interacting repressor (FIR) was found to be unable to repress c-Myc transcription and so it might be important for suppressing tumor developm...Aim: Disturbed alternative splicing of far upstream element-binding protein-interacting repressor (FIR) was found to be unable to repress c-Myc transcription and so it might be important for suppressing tumor development. FIR is a splicing variant of poly (U)-binding-splicing factor (PUF60), and forms complex with other splicing factors. FIR/PUF60 is a splicing factor of U2 small nuclear ribonucleoprotein auxiliary factor family, Thus FIR/PUF60 is a multifunctional protein. The expression of exon2-lacking splicing variant of FIR, FIRΔexon2, is elevated in many cancer tissues and promotes tumor development by disabling FIR-repression to sustain c-Myc activation. FIRΔexon2, as a dominant negative of FIR, opposed apoptosis in cancer cells. FIR/FIRΔexon2 interacts with degron pocket of F-box and W (Typ) D (Asp) repeat domain-containing 7 and inhibits proteolysis of substrates proteins. Recently, FIR/PUF60 was identified as a versatile regulator of transcriptional and post-transcriptional steps in expression of hepatitis B virus (HBV) pregenomic RNA (pgRNA) expression. Methods: Small molecular chemical compounds against FIR and FIRΔexon2 were screened among 2,3275 chemicals by natural product depository array (RIKEN, Wako, Saitama, Japan). Results: Nine chemicals against FIR and four chemicals against FIRΔexon2 were identified as candidates of interacting chemicals. Interestingly, BK697 contains WD -like structure. Among them, BK697 against FIRΔexon2 inhibited hepatoma cell growth. Conclusion: Therefore, FIR (PUF60)/FIRΔexon2 is multifunctional and applicable for clinical use for HBV suppression and hepatoma treatment. Together, one clue to the development of hepatome diagnosis and therapies directed against FIR/FIRΔexon2/PUF60 with small molecular weight chemicals that inhibit HBV cccDNA replication.展开更多
In this paper the problem−div(a(x,y)∇u)=f with Dirichlet boundary conditions on a square is solved iteratively with high accuracy for u and∇u using a new scheme called“hermitian box-scheme”.The design of the scheme ...In this paper the problem−div(a(x,y)∇u)=f with Dirichlet boundary conditions on a square is solved iteratively with high accuracy for u and∇u using a new scheme called“hermitian box-scheme”.The design of the scheme is based on a“hermitian box”,combining the approximation of the gradient by the fourth order hermitian derivative,with a conservative discrete formulation on boxes of length 2h.The iterative technique is based on the repeated solution by a fast direct method of a discrete Poisson equation on a uniform rectangular mesh.The problem is suitably scaled before iteration.The numerical results obtained show the efficiency of the numerical scheme.This work is the extension to strongly elliptic problems of the hermitian box-scheme presented by Abbas and Croisille(J.Sci.Comput.,49(2011),pp.239–267).展开更多
文摘The concept of normal form is used to study the dynamics of non-linear systems. In this work we describe the normal form for vector fields on 3 × 3 with linear nilpotent part made up of coupled R3n Jordan blocks. We use an algorithm based on the notion of transvectants from classical invariant theory known as boosting to equivariants in determining the normal form when the Stanley decomposition for the ring of invariants is known.
文摘Aim: Disturbed alternative splicing of far upstream element-binding protein-interacting repressor (FIR) was found to be unable to repress c-Myc transcription and so it might be important for suppressing tumor development. FIR is a splicing variant of poly (U)-binding-splicing factor (PUF60), and forms complex with other splicing factors. FIR/PUF60 is a splicing factor of U2 small nuclear ribonucleoprotein auxiliary factor family, Thus FIR/PUF60 is a multifunctional protein. The expression of exon2-lacking splicing variant of FIR, FIRΔexon2, is elevated in many cancer tissues and promotes tumor development by disabling FIR-repression to sustain c-Myc activation. FIRΔexon2, as a dominant negative of FIR, opposed apoptosis in cancer cells. FIR/FIRΔexon2 interacts with degron pocket of F-box and W (Typ) D (Asp) repeat domain-containing 7 and inhibits proteolysis of substrates proteins. Recently, FIR/PUF60 was identified as a versatile regulator of transcriptional and post-transcriptional steps in expression of hepatitis B virus (HBV) pregenomic RNA (pgRNA) expression. Methods: Small molecular chemical compounds against FIR and FIRΔexon2 were screened among 2,3275 chemicals by natural product depository array (RIKEN, Wako, Saitama, Japan). Results: Nine chemicals against FIR and four chemicals against FIRΔexon2 were identified as candidates of interacting chemicals. Interestingly, BK697 contains WD -like structure. Among them, BK697 against FIRΔexon2 inhibited hepatoma cell growth. Conclusion: Therefore, FIR (PUF60)/FIRΔexon2 is multifunctional and applicable for clinical use for HBV suppression and hepatoma treatment. Together, one clue to the development of hepatome diagnosis and therapies directed against FIR/FIRΔexon2/PUF60 with small molecular weight chemicals that inhibit HBV cccDNA replication.
文摘In this paper the problem−div(a(x,y)∇u)=f with Dirichlet boundary conditions on a square is solved iteratively with high accuracy for u and∇u using a new scheme called“hermitian box-scheme”.The design of the scheme is based on a“hermitian box”,combining the approximation of the gradient by the fourth order hermitian derivative,with a conservative discrete formulation on boxes of length 2h.The iterative technique is based on the repeated solution by a fast direct method of a discrete Poisson equation on a uniform rectangular mesh.The problem is suitably scaled before iteration.The numerical results obtained show the efficiency of the numerical scheme.This work is the extension to strongly elliptic problems of the hermitian box-scheme presented by Abbas and Croisille(J.Sci.Comput.,49(2011),pp.239–267).
