POINTWISE CONVERGENCE FOR EXPANSIONS IN SPHERICAL MONOGENICS

We offer a new approach to deal with the pointwise convergence of FourierLaplace series on the unit sphere of even-dimensional Euclidean spaces. By using spherical monogenics defined through the generalized Cauchy-Riemann operator, we obtain the spherical monogenic expansions of square integrable functions on the unit sphere. Based on the generalization of Fueter＇s theorem inducing monogenic functions from holomorphic functions in the complex plane and the classical Carleson＇s theorem, a pointwise convergence theorem on the new expansion is proved. The result is a generalization of Carleson＇s theorem to the higher dimensional Euclidean spaces. The approach is simpler than those by using special functions, which may have the advantage to induce the singular integral approach for pointwise convergence problems on the spheres.

Multi-vector Spherical Monogenics,Spherical Means and Distributions in Clifford Analysis

New higher-dimensional distributions have been introduced in the framework of Clifford analysis in previous papers by Brackx, Delanghe and Sommen. Those distributions were defined using spherical co-ordinates, the ＂finite part＂ distribution Fp x＋^μ on the real line and the generalized spherical means involving vector-valued spherical monogenics. In this paper, we make a second generalization, leading to new families of distributions, based on the generalized spherical means involving a multivector-valued spherical monogenic. At the same time, as a result of our attempt at keeping the paper self-contained, it offers an overview of the results found so far.

Exploring the genetic basis of childhood monogenic diabetes

Monogenic diabetes is caused by one or even more genetic variations,which may be uncommon yet have a significant influence and cause diabetes at an early age.Monogenic diabetes affects 1%to 5%of children,and early detection and genetically focused treatment of neonatal diabetes and maturity-onset diabetes of the young can significantly improve long-term health and well-being.The etiology of monogenic diabetes in childhood is primarily attributed to genetic variations affecting the regulatory genes responsible for beta-cell activity.In rare instances,mutations leading to severe insulin resistance can also result in the development of diabetes.Individuals diagnosed with specific types of monogenic diabetes,which are commonly found,can transition from insulin therapy to sulfonylureas,provided they maintain consistent regulation of their blood glucose levels.Scientists have successfully devised materials and methodologies to distinguish individuals with type 1 or 2 diabetes from those more prone to monogenic diabetes.Genetic screening with appropriate findings and interpretations is essential to establish a prognosis and to guide the choice of therapies and management of these interrelated ailments.This review aims to design a comprehensive literature summarizing genetic insights into monogenetic diabetes in children and adolescents as well as summarizing their diagnosis and management.

Monogenic diabetes in children:An underdiagnosed and poorly managed clinical dilemma

Monogenic diabetes,constituting 1%-2%of global diabetes cases,arises from single gene defects with distinctive inheritance patterns.Despite over 50 associated genetic disorders,accurate diagnoses and management of monogenic diabetes remain inadequate,underscoring insufficient clinician awareness.The disease spectrum encompasses maturity-onset diabetes of the young(MODY),characterized by distinct genetic mutations affecting insulin secretion,and neonatal diabetes mellitus(NDM)-a heterogeneous group of severe hyperglycemic disorders in infants.Mitochondrial diabetes,autoimmune monogenic diabetes,genetic insulin resistance and lipodystrophy syndromes further diversify the monogenic diabetes landscape.A tailored approach based on phenotypic and biochemical factors to identify candidates for genetic screening is recommended for suspected cases of MODY.NDM diagnosis warrants immediate molecular genetic testing for infants under six months.Identifying these genetic defects presents a unique opportunity for precision medicine.Ongoing research aimed to develop cost-effective genetic testing methods and gene-based therapy can facilitate appropriate identification and optimize clinical outcomes.Identification and study of new genes offer a valuable opportunity to gain deeper insights into pancreatic cell biology and the pathogenic mechanisms underlying common forms of diabetes.The clinical review published in the recent issue of World Journal of Diabetes is such an attempt to fill-in our knowledge gap about this enigmatic disease.

Genetic perspectives on childhood monogenic diabetes:Diagnosis,management,and future directions

Monogenic diabetes is caused by one or even more genetic variations, which maybe uncommon yet have a significant influence and cause diabetes at an early age.Monogenic diabetes affects 1 to 5% of children, and early detection and geneticallyfocused treatment of neonatal diabetes and maturity-onset diabetes of theyoung can significantly improve long-term health and well-being. The etiology ofmonogenic diabetes in childhood is primarily attributed to genetic variationsaffecting the regulatory genes responsible for beta-cell activity. In rare instances,mutations leading to severe insulin resistance can also result in the developmentof diabetes. Individuals diagnosed with specific types of monogenic diabetes,which are commonly found, can transition from insulin therapy to sulfonylureas,provided they maintain consistent regulation of their blood glucose levels.Scientists have successfully devised materials and methodologies to distinguishindividuals with type 1 or 2 diabetes from those more prone to monogenicdiabetes. Genetic screening with appropriate findings and interpretations isessential to establish a prognosis and to guide the choice of therapies andmanagement of these interrelated ailments. This review aims to design a comprehensiveliterature summarizing genetic insights into monogenetic diabetes inchildren and adolescents as well as summarizing their diagnosis and management.

Conventional Breeding and Molecular Markers for Blast Disease Resistance in Rice (Oryza sativa L.)

Monogenic lines,which carried 23 genes for blast resistance were tested and used donors to transfer resistance genes by crossing method.The results under blast nursery revealed that 9 genes from 23 genes were susceptible to highly susceptible under the three locations(Sakha,Gemmeza,and Zarzoura in Egypt);Pia,Pik,Pik-p,Piz-t,Pita,Pi b,Pi,Pi 19 and Pi 20.While,the genes Pii,Pik-s,Pik-h,Pi z,Piz-5,Pi sh,Pi 3,Pi 1,Pi 5,Pi 7,Pi 9,Pi 12,Pikm and Pita-2 were highly resistant at the same locations.Clustering analysis confirmed the results,which divided into two groups;the first one included all the susceptible genes,while the second one included the resistance genes.In the greenhouse test,the reaction pattern of five races produced 100%resistance under artificial inoculation with eight genes showing complete resistance to all isolates.The completely resistant genes:Pii,Pik-s,Piz,Piz-5(=bi2)(t),Pita(=Pi4)(t),Pita,Pi b and Pi1 as well as clustering analysis confirmed the results.In the F1 crosses,the results showed all the 25 crosses were resistant for leaf blast disease under field conditions.While,the results in F2 population showed seven crosses with segregation ratio of 15(R):1(S),two cross gave segregated ratio of 3 R:1 S and one gave 13:3.For the identification of blast resistance genes in the parental lines,the marker K3959,linked to Pik-s gene and the variety IRBLKS-F5 carry this gene,which was from the monogenic line.The results showed that four genotypes;Sakha 105,Sakha 103,Sakha 106 and IRBLKS-F5 were carrying Pik-s gene,while was absent in the Sakha 101,Sakha 104,IRBL5-M,IRBL9-W,IRBLTACP1 and IRBL9-W(R)genotypes.As for Pi 5 gene,the results showed that it was present in Sakha 103 and Sakha 104 varieties and absent in the rest of the genotypes.In addition,Pita-Pita-2 gene was found in the three Egyptian genotypes(Sakha 105,Sakha 101 and Sakha 104)plus IRBLTACP1 monogenetic.In F2 generation,six populations were used to study the inheritance of blast resistance and specific primers to confirm the ratio and identify the resistance genes.However,the ratios in molecular markers were the same of the ratio under field evaluation in the most population studies.These findings would facilitate in breeding programs for gene pyramiding and gene accumulation to produce durable resistance for blast using those genotypes.

Individualized diabetes care:Lessons from the real-world experience

Diabetes care is often difficult without a proper collaboration between the patient and the care provider as the disease is mostly self-managed by patients through adjustments in their lifestyles,and medication doses to optimise glycaemic control.Most clinical guidelines on the management of diabetes mellitus(DM)provide only broad principles on diabetes care,and the blind follow-up of such principles without a proper review and consideration of patient characteristics often results in inadequate glycaemic control and diabetes complications consequently.Therefore,a proper understanding of the pathobiology,clinical situation,and comorbidities of the individual case is of paramount importance to tailoring the most appropriate management strategy in real-world diabetes care.With the aid of five unique cases of DM[(1)Medically managed type 2 diabetes mellitus(T2DM)with severe obesity;(2)Management of T2DM with unreliable glycated haemoglobin(HbA1c);(3)Obesity in a patient with type 1 diabetes mellitus(T1DM);and(4)Late diagnosis and subsequent management of monogenic diabetes and 5.Sudden worsening of well-controlled T2DM)]we elaborate on the importance of individualised diabetes care and the practicalities in these situations.The review also provides an evidence update on the management of different forms of DM to guide physicians in optimising the care of their patients in day-to-day clinical practice.

融合Monogenic幅值和相位的人脸识别方法

针对仅利用图像滤波幅值信息进行识别而忽视相位信息的问题,提出一种融合Monogenic局部相位和幅值的识别方法。该方法先对相位进行量化和异或,并结合方向和尺度信息得到相位编码(MLXP);其次,分别对相位编码和基于幅值的二值编码进行分块,计算直方图特征;然后,采用基于分块的线性判别进行降维,提高特征的判别能力;最后在评分层实行融合。在ORL和CAS-PEAL人脸数据库上,相位方法 MLXP的平均识别率分别为0.97和0.94,融合Monogenic相位和幅值的方法平均识别率分别为0.99和0.979,超越实验中其他所有方法。实验结果表明,相位利用方法 MLXP是有效的,融合Monogenic相位和幅值的方法不但能够避免传统线性判别中的小样本(3S)问题,而且能以较低的时间和空间复杂度,有效地提高身份的正确识别率。

Phenotypic and genotypic characterization of inflammatory bowel disease in children under six years of age in China

AIM To analyze clinical differences between monogenic and nonmonogenic very-early-onset inflammatory bowel disease(VEO-IBD) and to characterize monogenic IBD phenotypically and genotypically via genetic testing. METHODS A retrospective analysis of children aged 0 to 6 years diagnosed with VEO-IBD in a tertiary hospital in southern China from 2005 to 2017 was performed. Clinical data for VEO-IBD patients were collected, and genetic characteristics were analyzed using whole exome sequencing or target gene panel sequencing. RESULTS A total of 54 VEO-IBD patients were included in this study. A diagnosis of Crohn's disease(CD) or CDlike intestinal manifestations accounted for 72.2% of the VEO-IBD cases. Nine patients(16.7%) were identified by genetic testing as having monogenic IBD. The median age of diagnosis in the monogenic group was younger than that of the nonmonogenic IBD group, at 18 mo(interquartile range(IQR): 4 to 78) and 43.5 mo(IQR: 3 to 173), respectively; the P-value was 0.021. The incidence of perianal disease in the monogenic group was higher than that in the nonmonogenic group(P = 0.001). However, there were no significant differences between weight-forage and height-for-age Z-scores between the two groups, and similar laboratory results were obtained for the two groups. Five patients were found to have IL10 receptor mutation, two patients had chronic granulomatous disease, one patient had common variable immunodeficiency disease, and one patient had X-linked inhibitor of apoptosis protein deficiency. CONCLUSION A high proportion of monogenic IBD was observed in the VEO-IBD group, especially with disease onset before the age of 6 mo. Monogenic IBD and nonmonogenic IBD exhibited similar clinical features. Furthermore, next-generation sequencing played an important role in the diagnosis of monogenic IBD, and IL10 receptor mutation was predominant in this cohort.

MATCHING PURSUITS AMONG SHIFTED CAUCHY KERNELS IN HIGHER-DIMENSIONAL SPACES

Appealing to the Clifford analysis and matching pursuits, we study the adaptive decompositions of functions of several variables of finite energy under the dictionaries consisting of shifted Cauchy kernels. This is a realization of matching pursuits among shifted Cauchy kernels in higher-dimensional spaces. It offers a method to process signals in arbitrary dimensions.

The EPSPS Pro106Ser substitution solely accounts for glyphosate resistance in a goosegrass(Eleusine indica) population from Tennessee, United States

Previous studies have documented the occurrence of glyphosate-resistant （GR） goosegrass （Eleusine indica （L.） Gaertn.） and, in at least some cases, resistance is due to an altered target site. Research was performed to determine if an altered target site was responsible for GR in a Tennessee, United States goosegrass population （TennGR）. DNA sequencing revealed a mutation in TennGR plants conferring the Prol06Ser 5-enolpyruvylshikimate-3-phosphate synthase （EPSPS） substitution previously identified in other GR populations. F2 populations were derived from TennGR plants crossed with plants from a glyphosate-susceptible population （TennGS） and analyzed for their response to glyphosate and genotyped at the EPSPS locus. Plants from the F2 populations segregated 1：2：1 sensitive：intermediate：resistant in response to a selec- tive dose of glyphosate, and these responses co-segregated with the EPSPS genotypes （PP106, PS106, and SS106）. To separately investigate the effect of the Prol06Ser substitution on GR, glyphosate dose-response curves and 50% effective dose （EDso） values were compared among the three genotypes and the two parental populations. The SS106 genotype was 3.4-fold resistant relative to the PP106 genotype, identical to the resistance level obtained when comparing the resistant and susceptible parental populations. We conclude that the mutation conferring a Prol06Ser EPSPS mutation is solely responsible for GR in the TennGR goosegrass population.

Parametric Methods for the Regional Assessment of Cardiac Wall Motion Abnormalities: Comparison Study

Left ventricular(LV)dysfunction is mainly assessed by global contractile indices such as ejection fraction and LV Volumes in cardiac MRI.While these indices give information about the presence or not of LV alteration,they are not able to identify the location and the size of such alteration.The aim of this study is to compare the performance of three parametric imaging techniques used in cardiac MRI for the regional quantification of cardiac dysfunction.The proposed approaches were evaluated on 20 patients with myocardial infarction and 20 subjects with normal function.Three parametric images approaches:covariance analysis,parametric images based on Hilbert transform and those based on the monogenic signal were evaluated using cine-MRI frames acquired in three planes of views.The results show that parametric images generated from the monogenic signal were superior in term of sensitivity(89.69%),specificity(86.51%)and accuracy(89.06%)to those based on covariance analysis and Hilbert transform in the detection of contractile dysfunction related to myocardial infarction.Therefore,the parametric image based on the monogenic signal is likely to provide additional regional indices about LV dysfunction and it may be used in clinical practice as a tool for the analysis of the myocardial alterations.

Human induced pluripotent stem cells for monogenic disease modelling and therapy

Recent and advanced protocols are now available to derive human induced pluripotent stem cells (hiPSCs) from patients affected by genetic diseases. No curative treatments are available for many of these diseases; thus, hiPSCs represent a major impact on patient’ health. hiPSCs represent a valid model for the in vitro study of monogenic diseases, together with a better comprehension of the pathogenic mechanisms of the pathology, for both cell and gene therapy protocol applications. Moreover, these pluripotent cells represent a good opportunity to test innovative pharmacological treatments focused on evaluating the efficacy and toxicity of novel drugs. Today, innovative gene therapy protocols, especially gene editing-based, are being developed, allowing the use of these cells not only as in vitro disease models but also as an unlimited source of cells useful for tissue regeneration and regenerative medicine, eluding ethical and immune rejection problems. In this review, we will provide an up-to-date of modelling monogenic disease by using hiPSCs and the ultimate applications of these in vitro models for cell therapy. We consider and summarize some peculiar aspects such as the type of parental cells used for reprogramming, the methods currently used to induce the transcription of the reprogramming factors, and the type of iPSC-derived differentiated cells, relating them to the genetic basis of diseases and to their inheritance model.

Infantile onset diabetes mellitus in developing countries-India

Infantile onset diabetes mellitus(IODM) is an uncommon metabolic disorder in children. Infants with onset of diabetes mellitus(DM) at age less than one year are likely to have transient or permanent neonatal DM or rarely type 1 diabetes. Diabetes with onset below 6 mo is a heterogeneous disease caused by single gene mutations. Literature on IODM is scanty in India. Nearly 83% of IODM cases present with diabetic keto acidosis at the onset. Missed diagnosis was common in infants with diabetes(67%). Potassium channel mutation with sulphonylurea responsiveness is the common type in the non-syndromic IODM and Wolcott Rallison syndrome is the common type in syndromic diabetes. Developmental delay and seizures were the associated co-morbid states. Genetic diagnosis has made a phenomenal change in the management of IODM. Switching from subcutaneous insulin to oral hypoglycemic drugs is a major clinical breakthrough in the management of certain types of monogenic diabetes. Mortality in neonatal diabetes is 32.5% during follow-up from Indian studies. This article is a review of neonatal diabetes and available literature on IODM from India.

Genetics of complex diseases

Approaches to the study of the genetic basis of common complex diseases and their clinical applications are con-sidered. Monogenic Mendelian inheritance in such conditions is infrequent but its elucidation may help to detect pathogenic mechanisms in the more common variety of complex diseases. Involvement by multiple genes in complex diseases usually occurs but the isolation and identification of specific genes so far has been exceptional. The role of common polymorphisms as indicators of disease risk in various studies is discussed.

Comprehensive genetic screening reveals wide spectrum of genetic variants in monogenic forms of diabetes among Pakistani population

BACKGROUND Monogenic forms of diabetes(MFD)are single gene disorders.Their diagnosis is challenging,and symptoms overlap with type 1 and type 2 diabetes.AIM To identify the genetic variants responsible for MFD in the Pakistani population and their frequencies.METHODS A total of 184 patients suspected of having MFD were enrolled.The inclusion criterion was diabetes with onset below 25 years of age.Brief demographic and clinical information were taken from the participants.The maturity-onset diabetes of the young(MODY)probability score was calculated,and glutamate decarboxylase ELISA was performed.Antibody negative patients and features resembling MODY were selected(n=28)for exome sequencing to identify the pathogenic variants.RESULTS A total of eight missense novel or very low-frequency variants were identified in 7 patients.Three variants were found in genes for MODY,i.e.HNF1A(c.169C>A,p.Leu57Met),KLF11(c.401G>C,p.Gly134Ala),and HNF1B(c.1058C>T,p.Ser353Leu).Five variants were found in genes other than the 14 known MODY genes,i.e.RFX6(c.919G>A,p.Glu307Lys),WFS1(c.478G>A,p.Glu160Lys)and WFS1(c.517G>A,p.Glu173Lys),RFX6(c.1212T>A,p.His404Gln)and ZBTB20(c.1049G>A,p.Arg350His).CONCLUSION The study showed wide spectrum of genetic variants potentially causing MFD in the Pakistani population.The MODY genes prevalent in European population(GCK,HNF1A,and HNF4a)were not found to be common in our population.Identification of novel variants will further help to understand the role of different genes causing the pathogenicity in MODY patient and their proper management and diagnosis.

The Unexpected Existence of Coding and Non-Coding Fragments along the Eukaryotic Gene

The pathways leading to synthesis and post-synthetic modification of DNA employed methionine as donor of atoms: the carbon that came from its –CH3 served for DNA replication and repair either in bacteria or humans;its entire –CH3 served instead for building N6-methyladenine and 5-methylcytosine on bacterial DNA and 5-methylcytosine alone on human DNA. In humans, although a slight extra-S asymmetric methylation appeared de novo yielding on parental DNA 5’-m5CpC-3’/ 3’-GpG-5’, 5’-m5CpT-3’/3’-GpA-5’ and 5’-m5CpA-3’/3’-GpT-5’ monomethylated dinucleotide pairs, a heavy symmetric methylation involved in S semiconservatively newly made DNA to guarantee genetic maintenance of –CH3 in 5’-m5CpG-3’/3’-Gpm5C-5’ dimethylated dinucleotide pairs. In this framework, an inverse correlation was found between bulk genomic DNA methylation occurring in S and bulk polyA-containing pre-mRNA transcription taking place in G1 and G2. Thus, probes of 1 × 106 Daltons (constructed using sheared by sonication newly made methylated DNA filaments) revealed a modular organization in genes: after the hypermethylated promoter, they exhibited an alternation of unmethylated coding and methylated uncoding sequences. This encouraged the search for a language that genes regulated by methylation should have in common. An initial deciphering of restriction minimaps with hypomethylatable exons vs. hypermethylatable promoters and introns was improved when the bisulfite technique allowed a direct sequencing of m5C. In lymphocytes, where the transglutaminase gene is inactive, its promoter exhibited two fully methylated CpG-rich domains at 5’ and one fully unmethylated CpG-rich domain at 3’, including the site +1 and a 5’-UTR. At variance, in HUVEC cells, where the transglutaminase gene is active, in the first CpG-rich domain of promoter few doublets lost their –CH3. Such an inverse correlation suggested new hypotheses especially in connection with repair-modification: UV radiation would cause demethylation in given loci of a promoter by chance, whilst even a partial demethylation in this promoter would be able to resume a previously silent pre-mRNA transcription.

Inheritance of fire blight resistance in Asian <i>Pyrus</i>species

Since several Asian pear species are considered to be potential source of fire blight resistance, we crossed “Doyenné du Comice”, the susceptible European cultivar, with four Asian pear species. The aim of the study was to establish the level of resistance of each genotype and the mode of transmission of fire blight resistance to each F1 full-sib progeny. The best sources of resistance were P. ussuriensis 18 and P. ussuriensis var. ovoidea 8 ranked to resistant and highly resistant, respectively. Although pear resistance to fire blight is suggested to be polygenic, distribution of phenotypes in “Doyenné du Comice” × P. ussuriensis var. ovoidea 8 hybrid family suggests the possibility of monogenic inheritance with the dominance of resistance derived from P. ussuriensis var. ovoidea 8. Polygenic inheritance of pear resistance to fire blight was identified in cross combinations of “Doyenné du Comice” with P. pyrifolia 6, and contributed by the major gene, with P. ussuriensis 18 and P. calleryana 12. Transgressive segregation was observed within the progenies of susceptible, moderately susceptible and resistant parents.

Knowledge explosion for monogenic skin diseases

During the past few decades, the investigative technologies of molecular biology- especially sequencing-underwent huge advances, leading to the sequencing of the entire human genome, as well as the identification of several candidate genes and the causative geneticvariations that are responsible for monogenic skin diseases. These advances provided a solid basis for subsequent studies elucidating mechanisms of monogenic skin diseases and improving our understanding of common skin diseases. Furthermore, these discoveries also contributed to the development of novel therapeutic modalities for monogenic skin diseases. In this review, we have used the disease spectrum caused by mutations in the CYLD gene- Brooke-Spiegler syndrome, familial cylindromatosis and multiple familial trichoepithelioma type 1- as a model for demonstrating the knowledge explosion for this group of diseases.

An Infinite Family of Number Fields with No Inert Primes

The goal of this paper is to show that there are infinitely many number fields K/Q, for which there is no inert prime p ∈ N*, i.e. ∀p ∈ N* a prime number, prime ideal of K such that where: Zk is the Dedekind domain of the integer elements of K. To prove such a result, consider for any prime p, the decomposition into a product of prime ideals of Zk, of the ideal . From this point, we use on the one hand: 1) The well- known property that says: If , then the ideal pZk decomposes into a product of prime ideals of Zk as following: . (where:;is the irreducible polynomial of θ, and, is its reduction modulo p, which leads to a product of irreducible polynomials in Fp[X]). It is clear that because if is reducible in Fp[X], then consequently p is not inert. Now, we prove the existence of such p, by proving explicit such p as follows. So we use on the other hand: 2) this property that we prove, and which is: If , is an irreducible normalized integer polynomial, whose splitting field is , then for any prime number p ∈ N: is always a reducible polynomial. 3) Consequently, and this closes our proof: let’s consider the set (whose cardinality is infinite) of monogenic biquadratic number fields: . Then each fθ(X) checks the above properties, this means that for family M, all its fields, do not admit any inert prime numbers p ∈ N. 2020-Mathematics Subject Classification (MSC2020) 11A41 - 11A51 - 11D25 - 11R04 - 11R09 - 11R11 - 11R16 - 11R32 - 11T06 - 12E05 - 12F05 -12F10 -13A05-13A15 - 13B02 - 13B05 - 13B10 - 13B25 -13F05