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Inorganic-organic hybrid structures: open-framework iron phosphite-oxalates of varying dimensionality.

Inorganic-organic hybrid structures belonging to the family of iron phosphite-oxalates have been prepared by employing hydrothermal methods. Their structures, determined by single-crystal X-ray diffraction, show a hierarchy within the family. While compounds I and II are low dimensional, III-VI have three-dimensional structures. Compound I has edge-shared ladders of iron phosphite with oxalate units hanging from the iron centers. Compound II has a layer structure with a honeycomb-like arrangement. The three-dimensional hybrid structures have the oxalate units connected in both in-plane and out-of-plane modes. A newly identified secondary building unit (SBU-7) and the oxalate units satisfying the valence and coordination requirements in the structure of V are novel and noteworthy structural features. Magnetic studies show that the dominant interactions between the iron centers are antiferromagnetic. Similar to other known hybrid structures, the phosphite-oxalate structures appear to show wide compositional and structural diversity.

Journal Article↗

Q RadFusion: Hybrid Quantum Classical Radiogenomic Framework for Breast Cancer Diagnosis.

BACKGROUND AND PURPOSE: Breast cancer remains the most common cancer in women worldwide, with early and accurate diagnosis critical for patient survival. Radiogenomics integrates imaging phenotypes with genomic profiles, offering a pathway to precision diagnostics. However, existing classical machine learning models often struggle with the high dimensionality and heterogeneity of multimodal data, leading to issues in calibration and reproducibility. This study presents Q RadFusion, a hybrid quantum-classical framework designed to enhance breast cancer diagnosis by fusing mammography and genomics data. METHODS: Q RadFusion was implemented on two publicly available datasets: CBIS-DDSM (2,600 curated mammography cases, TCIA) and TCGA-BRCA (1,000 genomic profiles, GDC). Imaging preprocessing included bias-field correction, segmentation, and harmonization, while genomic data underwent normalization and imputation. Feature selection was performed using the Quantum Approximate Optimization Algorithm (QAOA), and features were mapped into a quantum Hilbert space using Variational Quantum Circuits (VQC). For multimodal fusion, ResNet encoded mammography features, and a Transformer encoded genomic features. Patient-level and site-held-out splits were used for evaluation. RESULTS: Q RadFusion achieved an AUC of 0.96 and accuracy of 94%, outperforming baselines including CNN-LSTM, ResNet + XGBoost, and multimodal Transformers. Ablation studies confirmed the contribution of quantum components, with optimal performance observed at circuit depth, qubits, and QAOA layers. The model also demonstrated improved calibration and ~ 80% fewer parameters compared to deep fusion networks. CONCLUSION: Q RadFusion demonstrates that hybrid quantum-classical radiogenomic integration can deliver accurate, reproducible, and clinically meaningful diagnostic support for breast cancer, with strong potential for future clinical translation.

Breast Cancer↗

Hybrid graphs as a framework for the small-world effect.

In this paper we formalize the small-world effect which describes the surprising fact that a hybrid graph composed of a local graph component and a very sparse random graph has a diameter of O(ln n) whereby the diameter of both components alone is much higher. We show that a large family of these hybrid graphs shows this effect and that this generalized family also includes classic small-world models proposed by various authors although not all of them are captured by the small-world definition given by Watts and Strogatz. Furthermore, we give a detailed upper bound of the hybrid's graph diameter for different choices of the expected number of random edges by applying a new kind of proof pattern that is applicable to a large number of hybrid graphs. The focus in this paper is on presenting a flexible family of hybrid graphs showing the small-world effect that can be tuned closely to real-world systems.

Journal Article↗

A gene-based high-resolution comparative radiation hybrid map as a framework for genome sequence assembly of a bovine chromosome 6 region associated with QTL for growth, body composition, and milk performance traits.

BACKGROUND: A number of different quantitative trait loci (QTL) for various phenotypic traits, including milk production, functional, and conformation traits in dairy cattle as well as growth and body composition traits in meat cattle, have been mapped consistently in the middle region of bovine chromosome 6 (BTA6). Dense genetic and physical maps and, ultimately, a fully annotated genome sequence as well as their mutual connections are required to efficiently identify genes and gene variants responsible for genetic variation of phenotypic traits. A comprehensive high-resolution gene-rich map linking densely spaced bovine markers and genes to the annotated human genome sequence is required as a framework to facilitate this approach for the region on BTA6 carrying the QTL. RESULTS: Therefore, we constructed a high-resolution radiation hybrid (RH) map for the QTL containing chromosomal region of BTA6. This new RH map with a total of 234 loci including 115 genes and ESTs displays a substantial increase in loci density compared to existing physical BTA6 maps. Screening the available bovine genome sequence resources, a total of 73 loci could be assigned to sequence contigs, which were already identified as specific for BTA6. For 43 loci, corresponding sequence contigs, which were not yet placed on the bovine genome assembly, were identified. In addition, the improved potential of this high-resolution RH map for BTA6 with respect to comparative mapping was demonstrated. Mapping a large number of genes on BTA6 and cross-referencing them with map locations in corresponding syntenic multi-species chromosome segments (human, mouse, rat, dog, chicken) achieved a refined accurate alignment of conserved segments and evolutionary breakpoints across the species included. CONCLUSION: The gene-anchored high-resolution RH map (1 locus/300 kb) for the targeted region of BTA6 presented here will provide a valuable platform to guide high-quality assembling and annotation of the currently existing bovine genome sequence draft to establish the final architecture of BTA6. Hence, a sequence-based map will provide a key resource to facilitate prospective continued efforts for the selection and validation of relevant positional and functional candidates underlying QTL for milk production and growth-related traits mapped on BTA6 and on similar chromosomal regions from evolutionary closely related species like sheep and goat. Furthermore, the high-resolution sequence-referenced BTA6 map will enable precise identification of multi-species conserved chromosome segments and evolutionary breakpoints in mammalian phylogenetic studies.

Animals↗

A hybrid metalloarsenate 3D framework-1D interrupted metal oxide.

Complex metal arsenates of the stoichiometry M(1)(-)(x)()M'(6)(OH)(3)(AsO(4)H(2)(x)()(/3))(3)(HAsO(4)), M = M' = Co, Ni, have been synthesized under hydrothermal conditions. The two compounds display a very similar structural topology to that of the mineral dumortierite, an uncommon complex oxyborosilicate of aluminum. The hybrid structures consist of well separated, vacancy interrupted chains of face sharing MO(6) octahedra, with short M.M distances near 2.5 A, embedded in a metalloarsenate 3D framework having the topology of the aluminosilicate cancrinite. The framework also contains a quadruply bridging hydroxide ion. Magnetic susceptibility measurements reveal a strong antiferromagnetic interaction and magnetic transition to low temperature spin canted phases below 51 K (Co) and 42 K (Ni). The material may be considered as a zeotype framework structure templated by an interrupted one-dimensional metal oxide.

Journal Article↗

Messenger RNA in the cytoskeletal framework: analysis by in situ hybridization.

The possibility of an association of mRNA with the cytoskeletal framework (CF) of ascidian (Styela plicata) follicle cells was examined in this study. The approach was to extract the follicle cells with Triton X-100 and determine whether mRNA persisted in the insoluble residue by two methods, in situ hybridization with poly(U) and actin DNA probes and the incorporation of radioactive isotopes into RNA. Triton X-100 extraction of follicle cells yielded a filamentous CF containing approximately 70% of the total poly (A) but only 9% of the total lipid, 23% of the total protein, and 28% of the total RNA. In situ hybridization with a poly (U) probe indicated that approximately 70% of the poly (A) was associated with the CF. In situ hybridization with a cloned actin DNA probe indicated that approximately 60% of the actin mRNA was associated with the CF. Autoradiography of detergent-extracted follicle cells, which had been labeled with [3H]uridine or [3H]adenosine, indicated that greater than 90% of the newly synthesized poly (A)+RNA was preserved in the CF. Thus more newly synthesized mRNA than steady-state mRNA may be present in the Triton X-100 insoluble fraction. It is concluded that a significant proportion of the mRNA complement of ascidian follicle cells is associated with the CF.

Actins↗

A framework for a distributed, hybrid, multiple-ontology clinical-guideline library, and automated guideline-support tools.

Clinical guidelines are a major tool in improving the quality of medical care. However, most guidelines are in free text, not in a formal, executable format, and are not easily accessible to clinicians at the point of care. We introduce a Web-based, modular, distributed architecture, the Digital Electronic Guideline Library (DeGeL), which facilitates gradual conversion of clinical guidelines from text to a formal representation in chosen target guideline ontology. The architecture supports guideline classification, semantic markup, context-sensitive search, browsing, run-time application, and retrospective quality assessment. The DeGeL hybrid meta-ontology includes elements common to all guideline ontologies, such as semantic classification and domain knowledge; it also includes four content-representation formats: free text, semi-structured text, semi-formal representation, and a formal representation. These formats support increasingly sophisticated computational tasks. The DeGeL tools for support of guideline-based care operate, at some level, on all guideline ontologies. We have demonstrated the feasibility of the architecture and the tools for several guideline ontologies, including Asbru and GEM.

Computer Communication Networks↗

Correction for photon attenuation in SPECT: analytical framework, average attenuation factors, and a new hybrid approach.

We provide a unified framework for the investigation of convergence properties of the iterative algorithms for photon attenuation correction in SPECT, including the iterative Chang method--a commonly used approach in which an average attenuation factor calculated over all projection angles is employed in a pointwise correction scheme. A new average attenuation factor calculated along the projection line is introduced, which can compensate exactly for the attenuation effect in the case of a uniform activity distribution. We propose a new hybrid approach in which we use this new average attenuation factor initially and then shift to the iterative Chang method in later iterations. This hybrid approach was evaluated in a simulation study by use of a computer-generated phantom with both non-uniform activity and non-uniform attenuation distributions. The results demonstrate that this hybrid approach improves the convergence speed of the iterative Chang method and produces reconstructed images of high quality.

Algorithms↗

Rational design of the pore system within the framework aluminium alkylenediphosphonate series.

We report here on the solvothermal synthesis and crystal structure of the hybrid organic-inorganic framework material Al(2)[O(3)PC(3)H(6)PO(3)](H(2)O)(2)F(2).H(2)O (orthorhombic, Pmmn, a = 12.0591(2) A, b = 19.1647(5) A, c = 4.91142(7) A, Z = 4), the second member of the Al(2)[O(3)PC(n)H(2n)PO(3)](H(2)O)(2)F(2).H(2)O series. The structure consists of corrugated chains of corner-sharing AlO(4)F(2) octahedra in which alternating AlO(4)F(2) octahedra contain two fluorine atoms in a trans or a cis configuration. The diphosphonate groups link the chains together through Al-O-P-O-Al bridges and through the propylene groups to form a three-dimensional framework structure containing a one-dimensional channel system. The linkage of the corrugated inorganic Al-O-P layers within the structure results in the formation of two types of channel that differ in size, shape and composition. The smaller channel is unoccupied; the larger channel is more elongated and contains two extra-framework water molecules per unit cell. A computational investigation into the driving force that controls the stacking arrangement of the Al-O-P inorganic layers within this series of compounds reveals that the stacking is found to be controlled by thermodynamic factors, arising chiefly from the conformation of the organic linker molecule used to connect the inorganic sheets. It is found that the registration of the inorganic layers can be engineered by selecting an appropriate, simple organic spacer or linker alkyl chain, where an even number of carbon atoms in the alkyl chain directs formation of aligned, stacked, inorganic sheets (AAAAAA), and an odd number directs formation of unaligned, stacked sheets (ABABAB) and the formation of one or two channel types in the resultant structure, respectively. This combination of alkyl-chain linkers in conjunction with corrugated inorganic layers is an effective tool to rationally design the pore system of hybrid framework materials.

Journal Article↗

Hybrid organic-inorganic 1D and 2D frameworks with epsilon-Keggin polyoxomolybdates as building blocks.

Organic-inorganic hybrid materials based on polyoxometalate building blocks with capping La3+ ions and bidentate oxygenated ligands have been obtained by reaction at room temperature of the [epsilon-PMo12O36(OH)4[La(H2O)4]]5+ polyoxocation with glutarate (C5H6O(2)(2-)) and squarate (C4O(4)(2-)) organic ligands. [epsilon-PMo12O37(OH)3[La(H2O)4(C5H6O4)0.5]4].21 H2O (1) and [epsilon-PMo12O39(OH)[La(H2O)6]2-[La(H2O)5(C4O4)0.5]2].17 H2O (2) form unprecedented 1D chains built from alternating polyoxocations and organic ligands connected through LaO links. The structures of these materials are compared to the 2D hybrid organic-inorganic framework [NC4H12]2-[Mo22O52(OH)18[La(H2O)4]2[La(CH3CO2)2]4].8H2O (3) isolated from the hydrothermal reaction of elemental precursors (MoO(4)(2-), Mo, La3+) in acetate buffer. Compound 3 is built from previously undescribed polyoxometalate units with twenty-two MoV centers capped by six La3+ ions, four of which are bridged by acetate ligands.

Journal Article↗

Angular weighted hybrid cone-beam CT reconstruction for circular trajectories.

Hybrid reconstruction techniques have been introduced for the volume reconstruction of axially truncated cone-beam computed tomography projection data acquired along a circular source-detector trajectory. The introduction of weighted half-scan techniques into this framework is described in this paper. Due to the cone-beam geometry it is not possible to perform the weighting on the projections as is typically done in conventional single-line computed tomography. Hence, in this paper we present an efficient way to incorporate angular weighting functions, depending on the object point position, into the framework of hybrid cone-beam reconstruction. Four different angular weighting functions are introduced and discussed with respect to their cone-beam artefact behaviour and their influence on the signal-to-noise ratio. As a result, the most effective angular weighting function for hybrid circular cone-beam reconstruction is determined by means of a simulation study based on mathematical phantoms and clinical data sets. This distance-weighted angular weighting scheme yields the best results in terms of high image quality, low computational complexity and signal-to-noise variations in the reconstruction volume.

Computer Simulation↗

A reinforcement learning-enhanced fuzzy multi-objective equilibrium optimization framework for multiple sequence alignment.

Multiple sequence alignment (MSA) is a fundamental task in bioinformatics, underpinning comparative genomics, structural analysis, and evolutionary inference. However, MSA remains a challenging multi-objective optimization problem due to the need to simultaneously maximize alignment accuracy, preserve conserved regions, and control gap proliferation, particularly in large and heterogeneous sequence collections. In this work, we propose MOFSACEO-MSA, a novel hybrid optimization framework for multiple sequence alignment that integrates a fuzzy multi-objective evaluation scheme with the Equilibrium Optimizer (EO) and a Soft Actor-Critic (SAC)-based adaptive control mechanism. The proposed framework formulates MSA as a dynamic multi-objective optimization problem, in which alignment quality is assessed using complementary residue-level and column-level criteria, including Sum-of-Pairs score, column conservation, entropy, and gap statistics. Fuzzy membership functions are employed to harmonize competing objectives into a unified optimization landscape, while EO provides robust global exploration. To further enhance adaptability, SAC dynamically regulates key EO parameters during the search process, enabling an effective balance between exploration and exploitation across datasets of varying size and heterogeneity. Extensive experiments werew conducted on diverse biological sequence datasets, with a primary focus on RNA benchmarks, including structured families from Rfam, large-scale repositories from RNAcentral and GenBank, and organism-specific tRNA datasets from GtRNAdb. Comparative evaluations against classical alignment tools (ClustalW, MAFFT, MUSCLE, PRANK, KAlign, and T-Coffee), metaheuristic methods (SAGA, Sequoya and EAFSA), and a reinforcement learning-based approach (RLALIGN) demonstrate that MOFSACEO-MSA consistently achieves competitive or superior Sum-of-Pairs scores while significantly reducing gap proportions and maintaining compact alignment lengths. Notably, the proposed framework exhibits improved robustness on large and highly heterogeneous datasets, where existing methods often suffer from excessive gap insertion or unstable convergence. Overall, MOFSACEO-MSA provides a flexible and extensible optimization paradigm that effectively bridges evolutionary search and reinforcement learning for high-quality multiple sequence alignment, with demonstrated effectiveness on challenging RNA alignment tasks.

Sequence Alignment↗

A radiation hybrid map of BTA23: identification of a chromosomal rearrangement leading to separation of the cattle MHC class II subregions.

Bovine chromosome 23 (BTA23) contains the bovine major histocompatibility complex (MHC) and is thus of particular interest because of the role of MHC genes in immunity. Previous studies have shown cattle MHC class II genes to be subdivided into two distinct subregions separated by a variable genetic distance of 15-30 cM. To elucidate the genetic events that resulted in the present organization of the class II and other MHC genes, a framework radiation hybrid (RH) map of BTA23 was developed by testing DNA samples from a 5000 rad whole genome RH panel. Twenty-six markers were screened with an average retention frequency of 0.27, ranging from 0.14 to 0.42. Total length of the chromosome was 220 cR5000, with 4.1 cR5000/cM when compared to linkage data. Gene orders for the markers common to both the RH framework map and the consensus framework linkage map are identical. Large centiray intervals, D23S23-D23S7, DYA-D23S24 and CYP21-D23S31, were observed compared to linkage distances. These data may indicate a much larger physical distance or suppression of recombination in the interval separating the class II subregions and also within the class I region than previously estimated. Comparison of 13 Type I genes conserved between BTA23 and the human homolog HSA6p suggests the occurrence of an inversion encompassing the centromeric half of the bovine chromosome, thus explaining the large distance between the bovine class IIa and IIb clusters. These results exemplify the power of RH mapping in solving problems in comparative genomics and evolution. Furthermore, noncongruence of the genetic and physical RH map distances indicates that caution must be observed in using either resource alone in searching for candidate genes controlling traits of economic importance.

Animals↗

Construction of a new porcine whole-genome framework map using a radiation hybrid panel.

We have constructed a radiation hybrid (RH) map of the porcine genome using an RH panel generated by an irradiation dose of 5000-rad (Sus scrofa radiation hybrid map, SSRH map). Normal porcine aortic endothelial cells were irradiated and fused with a thymidine kinase-deficient mouse cell line, L-M (TK-). A total of 110 cell lines were selected and used for further analysis. Among 1091 microsatellite (MS) markers selected for mapping, 842 markers (77%) could be typed on the panel. The framework map comprised 342 MS markers and an additional 247 MS markers were then added to generate the whole-genome map. The average retention frequency for the data set was 30.6%. The total map length was 5596.2 centiRay (cR). Using an estimated physical length of 2718 Mbp, the average ratio between cR and physical distance over the porcine genome was estimated to be 0.49 Mb/cR.

Animals↗

A sequence-ready map for human chromosome 12q15-21.

Construction of sequence-ready clone map is an essential step toward sequencing the human genome. We chose a region that is frequently amplified in liposarcoma between D12S350 and D12S106 in chromosome 12q15-21 to build a PAC/BAC clone contig map. This region was spanned by 4 YACs and contained 30 STS on the YAC and radiation hybrid (RH) framework maps, providing an average STS spacing of 160 kb if each YAC is approximately 1.2 Mb in size. To convert a STS-based YAC map to a STS-based contig map of bacterial clones, 22 non-polymorphic STS markers were used as probes to screen the high density gridded arrays of PAC and BAC clones by filter hybridizations, followed by assembly of clones into contigs by marker content. Contigs have been extended and joined by direct end sequencing of appropriate clones, generating new STSs and rescreening the library as necessary. Using these approaches, we have constructed 5 contigs covering the region with the largest single contig being 1.4 Mb and a final size estimation of 3.6 Mb. The map is comprised of 17 YACs, 187 PACs, 160 BACs, and 17 cosmids; onto this, 6 polymorphic, 97 non-polymorphic, 24 ESTs, and 4 gene-based markers are now placed in a unique order, providing an average resolution of approximately 28 kb. Of a total of 131 markers, 97 were developed in the present study. The sequence-ready map should provide a framework to generate complete DNA sequence and ultimately gene map of this segment of chromosome 12.

Base Sequence↗

Ga(2,2'-bipy)(HPO(4))(H(2)PO(4)): first layered inorganic-organic hybrid gallium phosphate with a neutral framework.

A novel gallium phosphate, Ga(2,2'-bipy)(HPO(4))(H(2)PO(4)) (denoted FJ-12; FJ = Fujian Institute of Research on the Structure of Matter), which is the first example of layered inorganic-organic hybrid gallium phosphate with neutral framework, has been hydrothermally synthesized and structurally characterized by single-crystal X-ray diffraction. This compound crystallizes in the monoclinic system, space group P2(1)/c (No. 14), with a = 10.9443(9), b = 15.8253(13), and c = 8.4201(7) A, beta = 108.898(2) degrees, V = 1379.7(2) A(3), and Z = 4. The structure consists of HPO(4) and H(2)PO(4) tetrahedra and unusual GaO(4)N(2) octahedra which are linked through their vertexes forming an undulated sheetlike structure with 4.12-net. The adjacent layers are stably packed together and exhibit interesting 3-D supramolecular arrays pi-pi interactions of the 2,2'-bipy groups.

Journal Article↗