In this article,we construct the most powerful family of simultaneous iterative method with global convergence behavior among all the existing methods in literature for finding all roots of non-linear equations.Conver...In this article,we construct the most powerful family of simultaneous iterative method with global convergence behavior among all the existing methods in literature for finding all roots of non-linear equations.Convergence analysis proved that the order of convergence of the family of derivative free simultaneous iterative method is nine.Our main aim is to check out the most regularly used simultaneous iterative methods for finding all roots of non-linear equations by studying their dynamical planes,numerical experiments and CPU time-methodology.Dynamical planes of iterative methods are drawn by using MATLAB for the comparison of global convergence properties of simultaneous iterative methods.Convergence behavior of the higher order simultaneous iterative methods are also illustrated by residual graph obtained from some numerical test examples.Numerical test examples,dynamical behavior and computational efficiency are provided to present the performance and dominant efficiency of the newly constructed derivative free family of simultaneous iterative method over existing higher order simultaneous methods in literature.展开更多
In this research article,we construct a family of derivative free simultaneous numerical schemes to approximate all real zero of non-linear polynomial equation.We make a comparative analysis of the newly constructed n...In this research article,we construct a family of derivative free simultaneous numerical schemes to approximate all real zero of non-linear polynomial equation.We make a comparative analysis of the newly constructed numerical schemes with a well-known existing simultaneous method for determining all the distinct real zeros of polynomial equations using computer algebra system Mat Lab.Lower bound of convergence of simultaneous schemes is calculated using Mathematica.Global convergence property of the numerical schemes is presented by taking random starting initial approximation and their convergence history are graphically presented.Some real life engineering applications along with some higher degree polynomials are considered as numerical test problems to show performance and efficiency of the derivative free family of numerical methods with comparison of an existing method of same order in literature.Local computational order of convergence,CPU time,graph of computational order of convergence and residual error graphs elaborate efficiency,robustness and authentication of the suggested family of numerical methods in its domain.展开更多
Stable transmission of genetic information during cell division requires faithful mitotic spindle assembly and chromosome segregation. The Ran GTPase plays a key role in mitotic spindle assembly. However, how the gene...Stable transmission of genetic information during cell division requires faithful mitotic spindle assembly and chromosome segregation. The Ran GTPase plays a key role in mitotic spindle assembly. However, how the generation of a chemical gradient of Ran-GTP at the spindle is coupled to mitotic post-translational modifications has never been characterized. Here, we solved the complex structure of Ran with the nucleotide release factor Mogl and delineated a novel mitosis-specific acetylation-regulated Ran-Mogl interaction dur- ing chromosome segregation. Our structure-guided functional analyses revealed that Mogl compotes with RCCl for Ran binding in a GTP/GDP-dependent manner. Biochemical characterization demonstrated that Mogl-bound Ran prevents RCCl binding and subse- quent GTP loading. Surprisingly, Ran is a bono fide substrate of TIP60, and the acetylation of Lys134 by TIP60 liberates Mogl from Ran binding during mitosis. Importantly, this acetylation-elicited switch of Ran binding to RCC1 promotes high level of Ran-GTP, which is essential for chromosome alignment. These results establish a previously uncharacterized regulatory mechanism in which TIP60 pro- vides a homeostatic control of Ran-GTP level by tuning Ran effector binding for chromosome segregation in mitosis.展开更多
Heterochromatin protein 1α (HP1α)regulates chromatin specification and plasticity during cell fate decision.Different structural determinants account for HP1α Localization and function during cell division cycle.Ou...Heterochromatin protein 1α (HP1α)regulates chromatin specification and plasticity during cell fate decision.Different structural determinants account for HP1α Localization and function during cell division cycle.Our earlier study showed that centromeric Localization of HP1α depends on the epigenetic mark H3K9me3 in interphase,while its centromeric location in mitosis relies on uncharacterized PXVXL-containing factors.Here,we identified a PXVXL-containing protein,Ligand-dependent nuclear receptorinteracting factor 1 (LRIF1),which recruits HPla to the centromere of mitotic chromosomes and its interaction with HP1α is essential for accurate chromosome segregation during mitosis.LRIF1 interacts directly with HPla chromoshadow domain via an evolutionariLy conserved PXVXL motif within its C-terminus.Importantly,the LRIF1-HPla interaction is critical for Aurora B activity in the inner centromere.Mutation of PXVXL motif of LRIF1 Leads to defects in HPla centromere targeting and aberrant chromosome segregation.These findings reveal a previously unrecognized direct Link between LRIF1 and HP1α in centromere plasticity control and illustrate the critical role of LRIF1-HP1α interaction in orchestrating accurate cell division.展开更多
Dear Editor,Promyelocytic leukemia(PML)is the scaffold protein that organizes PML bod-ies,which are nuclear membraneless organelles involved in various biologi-cal processes,including tumor suppres-sion and antiviral ...Dear Editor,Promyelocytic leukemia(PML)is the scaffold protein that organizes PML bod-ies,which are nuclear membraneless organelles involved in various biologi-cal processes,including tumor suppres-sion and antiviral responses(Ugge et al.,2022).Early electron microscopic analy-ses revealed contacts between the sur-face of PML bodies and chromatin struc-ture(Corpet et al.,2020).In fact,sev-eral chromatin and cell cycle regulators,such as TIP60,P300,and heterochro-matin protein 1(HP1),are localized in PML bodies in interphase cells(Corpet et al.,2020).展开更多
基金the Natural Science Foundation of China(Grant Nos.61673169,11301127,11701176,11626101,and 11601485)The Natural Science Foundation of Huzhou City(Grant No.2018YZ07).
文摘In this article,we construct the most powerful family of simultaneous iterative method with global convergence behavior among all the existing methods in literature for finding all roots of non-linear equations.Convergence analysis proved that the order of convergence of the family of derivative free simultaneous iterative method is nine.Our main aim is to check out the most regularly used simultaneous iterative methods for finding all roots of non-linear equations by studying their dynamical planes,numerical experiments and CPU time-methodology.Dynamical planes of iterative methods are drawn by using MATLAB for the comparison of global convergence properties of simultaneous iterative methods.Convergence behavior of the higher order simultaneous iterative methods are also illustrated by residual graph obtained from some numerical test examples.Numerical test examples,dynamical behavior and computational efficiency are provided to present the performance and dominant efficiency of the newly constructed derivative free family of simultaneous iterative method over existing higher order simultaneous methods in literature.
文摘In this research article,we construct a family of derivative free simultaneous numerical schemes to approximate all real zero of non-linear polynomial equation.We make a comparative analysis of the newly constructed numerical schemes with a well-known existing simultaneous method for determining all the distinct real zeros of polynomial equations using computer algebra system Mat Lab.Lower bound of convergence of simultaneous schemes is calculated using Mathematica.Global convergence property of the numerical schemes is presented by taking random starting initial approximation and their convergence history are graphically presented.Some real life engineering applications along with some higher degree polynomials are considered as numerical test problems to show performance and efficiency of the derivative free family of numerical methods with comparison of an existing method of same order in literature.Local computational order of convergence,CPU time,graph of computational order of convergence and residual error graphs elaborate efficiency,robustness and authentication of the suggested family of numerical methods in its domain.
文摘Stable transmission of genetic information during cell division requires faithful mitotic spindle assembly and chromosome segregation. The Ran GTPase plays a key role in mitotic spindle assembly. However, how the generation of a chemical gradient of Ran-GTP at the spindle is coupled to mitotic post-translational modifications has never been characterized. Here, we solved the complex structure of Ran with the nucleotide release factor Mogl and delineated a novel mitosis-specific acetylation-regulated Ran-Mogl interaction dur- ing chromosome segregation. Our structure-guided functional analyses revealed that Mogl compotes with RCCl for Ran binding in a GTP/GDP-dependent manner. Biochemical characterization demonstrated that Mogl-bound Ran prevents RCCl binding and subse- quent GTP loading. Surprisingly, Ran is a bono fide substrate of TIP60, and the acetylation of Lys134 by TIP60 liberates Mogl from Ran binding during mitosis. Importantly, this acetylation-elicited switch of Ran binding to RCC1 promotes high level of Ran-GTP, which is essential for chromosome alignment. These results establish a previously uncharacterized regulatory mechanism in which TIP60 pro- vides a homeostatic control of Ran-GTP level by tuning Ran effector binding for chromosome segregation in mitosis.
基金grants from the Ministry of Science and Technology of the People's Republic of China (2017YFA0503600 and 2016YFA0100500)the National Natural Science Foundation of China (31430054,31320103904, 91313303,31621002,31501095,and 31671405)+1 种基金the Ministry of Education of the People's Republic of China (IRT_17R102)the US National Institutes of Health (CA164133,DK56292, and DKl15812).
文摘Heterochromatin protein 1α (HP1α)regulates chromatin specification and plasticity during cell fate decision.Different structural determinants account for HP1α Localization and function during cell division cycle.Our earlier study showed that centromeric Localization of HP1α depends on the epigenetic mark H3K9me3 in interphase,while its centromeric location in mitosis relies on uncharacterized PXVXL-containing factors.Here,we identified a PXVXL-containing protein,Ligand-dependent nuclear receptorinteracting factor 1 (LRIF1),which recruits HPla to the centromere of mitotic chromosomes and its interaction with HP1α is essential for accurate chromosome segregation during mitosis.LRIF1 interacts directly with HPla chromoshadow domain via an evolutionariLy conserved PXVXL motif within its C-terminus.Importantly,the LRIF1-HPla interaction is critical for Aurora B activity in the inner centromere.Mutation of PXVXL motif of LRIF1 Leads to defects in HPla centromere targeting and aberrant chromosome segregation.These findings reveal a previously unrecognized direct Link between LRIF1 and HP1α in centromere plasticity control and illustrate the critical role of LRIF1-HP1α interaction in orchestrating accurate cell division.
基金supported by grants from the Ministry of Science and Technology of the People’s Republic of China and the National Natural Science Foundation of China(2022YFA1303100,32090040,92254302,92153302,2022YFA0806800,2022YFA1302700,2017YFA0503600,31621002,91853115,21922706,22177106)the Strategic Priority Research Program of the Chinese Academy of Sciences(XDB19040000)+1 种基金the Ministry of Education(IRT_17R102 and 2011340213001)the Fundamental Research Funds for the Central Universities(WK2070000194).
文摘Dear Editor,Promyelocytic leukemia(PML)is the scaffold protein that organizes PML bod-ies,which are nuclear membraneless organelles involved in various biologi-cal processes,including tumor suppres-sion and antiviral responses(Ugge et al.,2022).Early electron microscopic analy-ses revealed contacts between the sur-face of PML bodies and chromatin struc-ture(Corpet et al.,2020).In fact,sev-eral chromatin and cell cycle regulators,such as TIP60,P300,and heterochro-matin protein 1(HP1),are localized in PML bodies in interphase cells(Corpet et al.,2020).
