A5090722248- Advanced Differential Equations and Dynamical Systems
- DNA and Nucleic Acid Chemistry
- Advanced Numerical Analysis Techniques
- Polynomial and algebraic computation
- Differential Equations and Boundary Problems
- Algebraic and Geometric Analysis
- Nonlinear Waves and Solitons
- RNA Interference and Gene Delivery
- Nonlinear Differential Equations Analysis
- Advanced biosensing and bioanalysis techniques
- Nuclear Structure and Function
- Holomorphic and Operator Theory
- RNA Research and Splicing
- RNA and protein synthesis mechanisms
- Numerical methods for differential equations
- Advanced Mathematical Modeling in Engineering
- RNA modifications and cancer
- Gastrointestinal disorders and treatments
- Differential Equations and Numerical Methods
- advanced mathematical theories
- Advanced Banach Space Theory
- Amyotrophic Lateral Sclerosis Research
- Spectral Theory in Mathematical Physics
- Stability and Controllability of Differential Equations
- Advanced Mathematical Physics Problems
Nagoya University
1999-2022
Graduate School USA
2020
Shizuoka University of Welfare
2016
Meijo University
2005-2015
Japan Society for the Promotion of Science
2006
Okayama University of Science
2006
Abstract Nuclear import receptors (NIRs) not only transport RNA-binding proteins (RBPs) but also modify phase transitions of RBPs by recognizing nuclear localization signals (NLSs). Toxic arginine-rich poly-dipeptides from C9orf72 interact with NIRs and cause nucleocytoplasmic deficit. However, the molecular basis for toxicity toward function as modifiers remains unidentified. Here we show that impede ability to RBPs. Isothermal titration calorimetry size-exclusion chromatography revealed...
Peptide nucleic acid (PNA) can form a stable duplex with DNA, and, accordingly, directly recognize double-stranded DNA through the formation of double-duplex invasion complex, wherein pair complementary PNA strands two PNA/DNA duplexes. Because does not require prior denaturation holds great potential for in cellulo or vivo applications. To broaden applicability invasion, we developed new conjugate ruthenium complex. This Ru-PNA exhibits higher DNA-binding affinity, which results enhanced...
This paper is concerned with the study of convergence and divergence formal power series solutions following first order singular linear partial differential equation holomorphic coefficients at origin: P(x,D)u(x) = \sum^d_{\iota=1}a_\iota(x)D_\iota u(x)+b(x)u(x) f(x), f(x) origin. Here said to be if a_\iota(0)=0 ( \iota 1, ...,d ). In this case, it known that under so-called Poincare condition, \{a_\iota(x)\}^d_{\iota=1 } generates a simple ideal, every solution convergent. However we...
This article is concerned with the study of Borel summability divergent power series solutions for certain singular first-order linear partial differential equations nilpotent type.Our main purpose to obtain conditions which coefficients should satisfy in order ensure solutions.We will see that there a close affinity between and global analytic continuation properties equations.
Oligonucleotides represent powerful DNA-recognition tools, but the formation of undesirable "self-duplexes" becomes more probable with increasing DNA affinity. Herein, we have developed a modified nucleobase "self-avoiding" properties. Facile methylation guanine yields cationic N7-methylguanine, which suppresses self-duplexes whilst improving affinity through electrostatic interaction.
In this paper we study the condition under which formal solution of (1.1) is Borel summable.The case c = 0 has been already studied in Part I. Before stating our main result, let us recall some results obtained §1.1.Results I subsection, assume 0. First, divide problem into following four cases: Case (1): b d 0, (2): (3): (4): b, Now order to state a specific manner, introduce
This paper is concerned with the existence of Gevrey asymptotic solutions for divergent formal solution singular first order linear partial differential equations nilpotent type. By using version Borel-Ritt's theorem, we can prove in a small sector unconditionally. However, when require Borel summability (that is, an open disk), global analytic continuation properties coefficients are demanded.
This paper is concerned with the existence, uniqueness, convergence and divergence of formal power series solutions singular first order quasi-linear partial differential equations. Firstly we give condition under which solution exists uniquely. However, this does not necessarily converge. So characterize rate via Gevrey series. The orders are determined by Newton polyhedrons nonlinear operators.
This paper is concerned with the existence, uniqueness, convergence and divergence of formal power series solutions singular first order quasi-linear partial differential equations. Firstly we give condition under which solution exists uniquely. However, this does not necessarily converge. So characterize rate via Gevrey series. The orders are determined by Newton polyhedrons nonlinear operators.
The sequence-specific recognition of double-stranded DNA (dsDNA) is a key property for the control function. Peptide nucleic acid (PNA) can be utilised direct dsDNA via formation unique invasion complex. Strand by PNA induces local changes in structure and useful regulation gene expression genome editing. However, fact that nucleobases modification required efficient invasion, has stymied wide-spread application PNA. Herein, we succeeded target sequences complex utilising only...
This paper is concerned with the study of Borel summability divergent solutions for singularly perturbed inhomogeneous first-order linear ordinary differential equations which have a regularity at origin. In order to assure solutions, global analytic continuation properties coefficients are required despite fact that domain sum local.
ABSTRACT Low-complexity (LC) domains of proteins are found in about one fifth human proteome, and a group LC-domains form labile cross-β polymers liquid-like droplets. Polymers droplets formed from dynamically regulated by posttranslational modifications molecular chaperones including nuclear transport receptors. Repeat expansion the first intron gene designated C9orf72 , which is most prevalent familial amyotrophic lateral sclerosis (ALS), causes nucleocytoplasmic deficit, however, detailed...
This report describes two cases with obstructive jaundice caused by poorly differentiated gastric adenocarcinoma. Computed tomography scans showed circumferential stenosis in the hilar bile ducts. Endoscopic retrograde cholangiopancreatography dilatation of bilateral hepatic ducts and common from bifurcation The first diagnoses were cholangiocarcinoma biliary drainage decreased serum bilirubin; however, both patients died cancer within a short period time. Autopsies revealed lymphatic vessel...
The cover feature picture shows direct DNA recognition of a peptide nucleic acid (PNA) conjugate–Ru complex (Ru-PNA) by double duplex invasion. As Ru-PNA is anchored to the additional interaction Ru with DNA, forms more stable DNA. This higher binding affinity enhances invasion efficiency even at physiological salt concentrations. More information can be found in communication Y. Aiba, O. Shoji, et al. on page 1601 Issue 15, 2018 (DOI: 10.1002/cbic.201800256).