Functional analysis
View article: Multi-Omics and Functional Analysis of BFSP1 as a Prognostic and Therapeutic Target in Liver Hepatocellular Carcinoma
Multi-Omics and Functional Analysis of BFSP1 as a Prognostic and Therapeutic Target in Liver Hepatocellular Carcinoma Open
Background and Objectives: Although beaded filament structural protein 1 (BFSP1) may be involved in oncogenic mechanisms, its clinical relevance and functional role in liver hepatocellular carcinoma (LIHC) remain unclear. This study examin…
View article: Rapid Functional Restoration in Alzheimer's Disease: Framework 50 Predicts 13.5-Point MMSE Improvement in 12 Weeks Through Six-Pathway Convergent Intervention (93× Faster Than Lecanemab)
Rapid Functional Restoration in Alzheimer's Disease: Framework 50 Predicts 13.5-Point MMSE Improvement in 12 Weeks Through Six-Pathway Convergent Intervention (93× Faster Than Lecanemab) Open
Single-pathway Alzheimer's disease (AD) therapeutics achieve marginal clinical benefit. Lecanemab demonstrated only 0.45-point CDR-SB improvement over 18 months (27% slowing). AD involves simultaneous dysfunction across six molecular syste…
View article: Multiplicative set--valued equation related to certain set--valued mappings and its stability on Banach algebras
Multiplicative set--valued equation related to certain set--valued mappings and its stability on Banach algebras Open
Let B be a Banach algebra, and let Ccb(B) denote the set of all closed convex bounded subsets of B. Assume that ⪰ is a partial order defined on Ccb(B), and define D := {A ∈ Ccb(B) : A ≻ 0}, where 0 denotes the zero element of Ccb(B). Furth…
View article: Rapid Functional Restoration in Alzheimer's Disease: Framework 50 Predicts 13.5-Point MMSE Improvement in 12 Weeks Through Six-Pathway Convergent Intervention (93× Faster Than Lecanemab)
Rapid Functional Restoration in Alzheimer's Disease: Framework 50 Predicts 13.5-Point MMSE Improvement in 12 Weeks Through Six-Pathway Convergent Intervention (93× Faster Than Lecanemab) Open
Single-pathway Alzheimer's disease (AD) therapeutics achieve marginal clinical benefit. Lecanemab demonstrated only 0.45-point CDR-SB improvement over 18 months (27% slowing). AD involves simultaneous dysfunction across six molecular syste…
View article: Sobolev embeddings in grand variable Herz-Morrey Besov spaces
Sobolev embeddings in grand variable Herz-Morrey Besov spaces Open
View article: Quaternionic Carleson measures
Quaternionic Carleson measures Open
In this paper we provide a general construction of a quaternionic Banach space of slice regular functions from a given Banach space of holomorphic functions, which we call its quaternionic lift. To the best of our knowledge, this construct…
View article: Foundations of Drive Theory in Working Dogs: A Functional Framework for Modern Canine Training
Foundations of Drive Theory in Working Dogs: A Functional Framework for Modern Canine Training Open
This article provides a scientific and functional analysis of drive theory in working dogs, offering a structured model for understanding motivational systems that govern canine performance. Integrating principles from behavioral neuroscie…
View article: Foundations of Drive Theory in Working Dogs: A Functional Framework for Modern Canine Training
Foundations of Drive Theory in Working Dogs: A Functional Framework for Modern Canine Training Open
This article provides a scientific and functional analysis of drive theory in working dogs, offering a structured model for understanding motivational systems that govern canine performance. Integrating principles from behavioral neuroscie…
View article: Genetic and functional analysis of ZMIZ1 in neurodevelopmental disorder with dysmorphic facies and distal skeletal anomalies (NEDDFSA): insights from muscle cells and signaling pathways
Genetic and functional analysis of ZMIZ1 in neurodevelopmental disorder with dysmorphic facies and distal skeletal anomalies (NEDDFSA): insights from muscle cells and signaling pathways Open
Background Mutations in the ZMIZ1 gene have been implicated in neurodevelopmental disorder with dysmorphic facies and distal skeletal anomalies (NEDDFSA). However, the underlying cellular and physiological mechanisms remain poorly understo…
View article: Quaternionic Carleson measures
Quaternionic Carleson measures Open
In this paper we provide a general construction of a quaternionic Banach space of slice regular functions from a given Banach space of holomorphic functions, which we call its quaternionic lift. To the best of our knowledge, this construct…
View article: Optimal domain of Volterra operators in classes of Banach spaces of analytic functions
Optimal domain of Volterra operators in classes of Banach spaces of analytic functions Open
A thorough investigation is made of the optimal domain space of generalized Volterra operators, Cesàro operators and other operators when they act in various Banach spaces of analytic functions. Of particular interest is the situation when…
View article: On the Dynamics of Weighted Composition Operators II
On the Dynamics of Weighted Composition Operators II Open
We establish complete characterizations of various notions of expansivity for weighted composition operators on a very general class of locally convex spaces of continuous functions. This class includes several classical classes of continu…
View article: On the Dynamics of Weighted Composition Operators II
On the Dynamics of Weighted Composition Operators II Open
We establish complete characterizations of various notions of expansivity for weighted composition operators on a very general class of locally convex spaces of continuous functions. This class includes several classical classes of continu…
View article: Optimal domain of Volterra operators in classes of Banach spaces of analytic functions
Optimal domain of Volterra operators in classes of Banach spaces of analytic functions Open
A thorough investigation is made of the optimal domain space of generalized Volterra operators, Cesàro operators and other operators when they act in various Banach spaces of analytic functions. Of particular interest is the situation when…
View article: Functional groups of <i>S</i>. Typhi IMSS1 wild-type strain and LTTR mutants.
Functional groups of <i>S</i>. Typhi IMSS1 wild-type strain and LTTR mutants. Open
The dendrogram allowed us to identify four functional groups (I–IV) and the color in the heatmap represents the determined phenotype.
View article: A Comprehensive Analysis of Transcribed Ultra Conserved Regions Uncovers Important Regulatory Functions of Novel Non-coding Transcripts in Gliomas
A Comprehensive Analysis of Transcribed Ultra Conserved Regions Uncovers Important Regulatory Functions of Novel Non-coding Transcripts in Gliomas Open
Transcribed Ultra-Conserved Regions (TUCRs) are a severely understudied class of putative non-coding RNAs (ncRNAs) that are 100% conserved across multiple species. We performed the first-ever analysis of TUCRs in glioblastoma (GBM) and low…
View article: Subgroup analysis between anthocyanidins and METS-IR.
Subgroup analysis between anthocyanidins and METS-IR. Open
Very low: [0,0.15]mg/d, Low: (0.15,2.36]mg/d, Moderate: (2.36,13.6]mg/d, High: > 13.6mg/d Adjusted by age, sex, race, education, PIR, smoking status, drinking status, caloric intake, physical activity, coronary heart disease, and hypertens…
View article: Optimal decay of semi-uniformly stable operator semigroups with empty spectrum
Optimal decay of semi-uniformly stable operator semigroups with empty spectrum Open
We show that it is impossible to quantify the decay rate of a semi-uniformly stable operator semigroup based on sole knowledge of the spectrum of its infinitesimal generator. More precisely, given an arbitrary positive function vanishing …
View article: Subgroup analysis of the effect of the pharmacological agent on the need for the anticonvulsant requirement at discharge.
Subgroup analysis of the effect of the pharmacological agent on the need for the anticonvulsant requirement at discharge. Open
Subgroup analysis of the effect of the pharmacological agent on the need for the anticonvulsant requirement at discharge.
View article: Functional Analysis of Phenotypic Trait Spaces: A Banach Space Approach to Evolutionary Theory
Functional Analysis of Phenotypic Trait Spaces: A Banach Space Approach to Evolutionary Theory Open
This theoretical paper introduces a novel mathematical framework for evolutionary biology by applying concepts from functional analysis to model continuous phenotypic traits. Moving beyond the traditional finite-dimensional vector spaces o…
View article: Single-cell differential expression and functional enrichment analysis in AIH.
Single-cell differential expression and functional enrichment analysis in AIH. Open
(A) Venn diagram of screened DEIRGs from immune-related genes (IRGs) and differentially expressed genes of immune cell clusters. (B) Score of 399 screened DEIRGs. The threshold was 0.194. (C) UMAP plots of DEIRG score …
View article: Functional calculus on weighted Sobolev spaces for the Laplacian on rough domains
Functional calculus on weighted Sobolev spaces for the Laplacian on rough domains Open
View article: Functional Analysis of Phenotypic Trait Spaces: A Banach Space Approach to Evolutionary Theory
Functional Analysis of Phenotypic Trait Spaces: A Banach Space Approach to Evolutionary Theory Open
This theoretical paper introduces a novel mathematical framework for evolutionary biology by applying concepts from functional analysis to model continuous phenotypic traits. Moving beyond the traditional finite-dimensional vector spaces o…
View article: Functional Random Forest with Adaptive Cost-Sensitive Splitting for Imbalanced Functional Data Classification
Functional Random Forest with Adaptive Cost-Sensitive Splitting for Imbalanced Functional Data Classification Open
Classification of functional data where observations are curves or trajectories poses unique challenges, particularly under severe class imbalance. Traditional Random Forest algorithms, while robust for tabular data, often fail to capture …
View article: The Vector-Valued Littlewood-Paley Characterization of Hardy Spaces on Locally Compact Groups
The Vector-Valued Littlewood-Paley Characterization of Hardy Spaces on Locally Compact Groups Open
This paper investigates the characterization of vector-valued Hardy spaces, denoted as $H^p_X(G)$, where $X$ is a Banach space and $G$ is a locally compact group. We establish a comprehensive Littlewood-Paley characterization for these spa…
View article: Functional Random Forest with Adaptive Cost-Sensitive Splitting for Imbalanced Functional Data Classification
Functional Random Forest with Adaptive Cost-Sensitive Splitting for Imbalanced Functional Data Classification Open
Classification of functional data where observations are curves or trajectories poses unique challenges, particularly under severe class imbalance. Traditional Random Forest algorithms, while robust for tabular data, often fail to capture …
View article: Functional Diversity and Oncogenic Potential of Human Endogenous Retrovirus K (HERV-K) Rec Proteins
Functional Diversity and Oncogenic Potential of Human Endogenous Retrovirus K (HERV-K) Rec Proteins Open
Ancient retroviral infections and integrations of the reverse transcribed viral DNA into the genomes of germline cells gave rise to endogenous retroviruses, which now comprise about 8% of the human genome. Human endogenous retrovirus K (HE…
View article: The Vector-Valued Littlewood-Paley Characterization of Hardy Spaces on Locally Compact Groups
The Vector-Valued Littlewood-Paley Characterization of Hardy Spaces on Locally Compact Groups Open
This paper investigates the characterization of vector-valued Hardy spaces, denoted as $H^p_X(G)$, where $X$ is a Banach space and $G$ is a locally compact group. We establish a comprehensive Littlewood-Paley characterization for these spa…
View article: Reframing adolescent self-harm as a functional continuum
Reframing adolescent self-harm as a functional continuum Open
The clinical and research fields have long relied on a dichotomous classification of adolescent self-harm, rigidly separating non-suicidal self-injury (NSSI) from suicide attempts (SA) based on intent. While operationally convenient for ac…
View article: Das Universelle Raumgitter als minimaler Strukturrahmen dynamischer Systeme
Das Universelle Raumgitter als minimaler Strukturrahmen dynamischer Systeme Open
Diese Arbeit führt das Universelle Raumgitter (URG) als abstrakten, minimalen Strukturrahmen für dynamische Systeme ein. Das URG beschreibt diskrete Zustandsräume als Konfigurationen lokaler Zellen mit wohldefinierten Nachbarschaften und Ü…