The norms of Bloch vectors and classification of four qudits quantum states

We investigate the norms of the Bloch vectors for any quantum state with subsystems less than or equal to four. Tight upper bounds of the norms are obtained, which can be used to derive tight upper bounds for entanglement measure defined by the norms of Bloch vectors. By using these bounds a trade-off relation of the norms of Bloch vectors is discussed. Theses upper bounds are then applied on separability. Necessary conditions are presented for different kinds of separable states in four-partite quantum systems. We further present a complete classification of quantum states for four qudits quantum systems.Comment: 8 pages, 1 figur

Signalling of the Ret receptor tyrosine kinase through the c-Jun NH2-terminal protein Kinases (JNKs): evidence for a divergence of the ERKs and JNKs pathways induced by Ret

The RET proto-oncogene encodes a functional receptor tyrosine kinase (Ret) for the Glial cell line Derived Neurotrophic Factor (GDNF). RET is involved in several neoplastic and non-neoplastic human diseases. Oncogenic activation of RET is detected in human papillary thyroid tumours and in multiple endocrine neoplasia type 2 syndromes. Inactivating mutations of RET have been associated to the congenital megacolon, i.e. Hirschprung's disease. In order to identify pathways that are relevant for Ret signalling to the nucleus, we have investigated its ability to induce the c-Jun NH2-terminal protein kinases (JNK). Here we show that triggering the endogenous Ret, expressed in PC12 cells, induces JNK activity; moreover, Ret is able to activate JNK either when transiently transfected in COS-1 cells or when stably expressed in NIH3T3 ®broblasts or in PC Cl 3 epithelial thyroid cells. JNK activation is dependent on the Ret kinase function, as a kinase-de®cient RET mutant, associated with Hirschsprung's disease, fails to activate JNK. The pathway leading to the activation of JNK by RET is clearly divergent from that leading to the activation of ERK: substitution of the tyrosine 1062 of Ret, the Shc binding site, for phenylalanine abrogates ERK but not JNK activation. Experiments conducted with dominant negative mutants or with negative regulators demonstrate that JNK activation by Ret is mediated by Rho/Rac related small GTPases and, particularly, by Cdc42

Signalling of the Ret receptor tyrosine kinase through the c-Jun NH2-terminal protein Kinases (JNKs): evidence for a divergence of the ERKs and JNKs pathways induced by Ret

The RET proto-oncogene encodes a functional receptor tyrosine kinase (Ret) for the Glial cell line Derived Neurotrophic Factor (GDNF). RET is involved in several neoplastic and non-neoplastic human diseases. Oncogenic activation of RET is detected in human papillary thyroid tumours and in multiple endocrine neoplasia type 2 syndromes. Inactivating mutations of RET have been associated to the congenital megacolon, i.e. Hirschprung's disease. In order to identify pathways that are relevant for Ret signalling to the nucleus, we have investigated its ability to induce the c-Jun NH2-terminal protein kinases (JNK). Here we show that triggering the endogenous Ret, expressed in PC12 cells, induces JNK activity; moreover, Ret is able to activate JNK either when transiently transfected in COS-1 cells or when stably expressed in NIH3T3 ®broblasts or in PC Cl 3 epithelial thyroid cells. JNK activation is dependent on the Ret kinase function, as a kinase-de®cient RET mutant, associated with Hirschsprung's disease, fails to activate JNK. The pathway leading to the activation of JNK by RET is clearly divergent from that leading to the activation of ERK: substitution of the tyrosine 1062 of Ret, the Shc binding site, for phenylalanine abrogates ERK but not JNK activation. Experiments conducted with dominant negative mutants or with negative regulators demonstrate that JNK activation by Ret is mediated by Rho/Rac related small GTPases and, particularly, by Cdc42

CHD7 and Runx1 interaction provides a braking mechanism for hematopoietic differentiation.

Hematopoietic stem and progenitor cell (HSPC) formation and lineage differentiation involve gene expression programs orchestrated by transcription factors and epigenetic regulators. Genetic disruption of the chromatin remodeler chromodomain-helicase-DNA-binding protein 7 (CHD7) expanded phenotypic HSPCs, erythroid, and myeloid lineages in zebrafish and mouse embryos. CHD7 acts to suppress hematopoietic differentiation. Binding motifs for RUNX and other hematopoietic transcription factors are enriched at sites occupied by CHD7, and decreased RUNX1 occupancy correlated with loss of CHD7 localization. CHD7 physically interacts with RUNX1 and suppresses RUNX1-induced expansion of HSPCs during development through modulation of RUNX1 activity. Consequently, the RUNX1:CHD7 axis provides proper timing and function of HSPCs as they emerge during hematopoietic development or mature in adults, representing a distinct and evolutionarily conserved control mechanism to ensure accurate hematopoietic lineage differentiation.Bloodwise, CRUK, MRC, Wellcome Trust, NIH, Leukemia and Lymphoma Societ

MUC14-Related ncRNA-mRNA Network in Breast Cancer

Abstract: Background Growing evidences have showed that mucins (MUCs) are linked to occurrence and progression of human cancers. However, a comprehensive study regarding the expression, diagnosis, prognosis and mechanism of MUCs in breast cancer remains absent. Methods: A series of in silico analyses were employed in this study. Results: After performing comprehensive analysis for MUCs, MUC14 was identified as the most potential regulator in breast cancer, with downregulated expression in both mRNA and protein levels and significant diagnostic and prognostic values in breast cancer. Mechanistic exploration revealed that a potential ncRNA-mRNA axis, involving LINC01128/LINC01140/SGMS1-AS1/LINC00667-miR-137/miR-429-BCL2, might be partially responsible for MUC14′s functions in breast cancer. Conclusions: Collectively, our study elucidated a key role of MUC14 in breast cancer and also provided some clues for explanation of the molecular action mechanism of MUC14 in breast cancer

The reduction of the number of incoherent Kraus operations for qutrit systems

Quantum coherence is a fundamental property that can emerge within any quantum system. Incoherent operations, defined in terms of the Kraus decomposition, play an important role in state transformation. The maximum number of incoherent Kraus operators has been presented in Streltsov A., Rana S., Boes P. and Eisert J., Phys. Rev. Lett., 119 (2017) 140402. In this work, we show that the number of incoherent Kraus operators for a single qubit can be reduced from 5 to 4 by constructing a proper unitary matrix. For qutrit systems we further obtain 32 incoherent Kraus operators, while the upper bound in the research of Sterltsov gives 39 Kraus operators. Besides, we reduce the number of strictly incoherent Kraus operators from more than 15 to 13. And we consider the state transformation problem for these two types of operations in single qutrit systems