A5053298314- Complex Network Analysis Techniques
- Topological and Geometric Data Analysis
- Homotopy and Cohomology in Algebraic Topology
- Gene Regulatory Network Analysis
- Single-cell and spatial transcriptomics
- Bioinformatics and Genomic Networks
- Algebraic structures and combinatorial models
- Graph theory and applications
- Advanced Operator Algebra Research
- Opinion Dynamics and Social Influence
- Opportunistic and Delay-Tolerant Networks
- Advanced Graph Neural Networks
- Nonlinear Dynamics and Pattern Formation
- Leprosy Research and Treatment
- Advanced Clustering Algorithms Research
- Optimal Power Flow Distribution
- stochastic dynamics and bifurcation
- Pluripotent Stem Cells Research
- Cell Image Analysis Techniques
- Machine Learning and Data Classification
- Cancer Cells and Metastasis
- Gene expression and cancer classification
- Machine Learning and Algorithms
- Computability, Logic, AI Algorithms
- Hydrological Forecasting Using AI
Fundación Cardiovascular de Colombia
2024-2025
University of Southampton
2014-2024
Turing Institute
2022-2023
The Alan Turing Institute
2020-2023
British Library
2023
University of Roehampton
2014
Heinrich Heine University Düsseldorf
2007-2011
A power transmission system can be represented by a network with nodes and links representing buses electrical lines, respectively. Each line given weight, some property of the line, such as admittance or average flow at time. We use hierarchical spectral clustering methodology to reveal internal connectivity structure network. Spectral uses eigenvalues eigenvectors matrix associated network, it is computationally very efficient, works for any choice weights. When using admittances, reveals...
Intentional controlled islanding is an effective corrective approach to minimise the impact of cascading outages leading large-area blackouts.This paper proposes a novel methodology, based on constrained spectral clustering, that computationally very efficient and determines solution with minimal power flow disruption, while ensuring each island contains only coherent generators.The proposed methodology also enables operators constrain any branch, which must not be disconnected, excluded...
Network representations are useful for describing the structure of a large variety complex systems. Although most studies real-world networks suppose that nodes connected by only single type edge, natural and engineered systems include multiple subsystems layers connectivity. This new paradigm has attracted great deal attention one fundamental challenge is to characterize multilayer both structurally dynamically. One way address this question study spectral properties such networks. Here we...
Many real-world complex networks contain a significant amount of structural redundancy, in which multiple vertices play identical topological roles. Such redundancy arises naturally from the simple growth processes form and shape many systems. Since structurally redundant elements may be permuted without altering network structure, formally investigated by examining automorphism (symmetry) groups. Here, we use group-theoretic approach to give complete description spectral signatures...
Research endeavours require the collaborative effort of an increasing number individuals. International scientific collaborations are particularly important for HIV and HPV co-infection studies, since burden disease is rising in developing countries, but most experts research funds found developed where prevalence low. The objective our study was to investigate patterns international collaboration using social network analysis. Through a systematic review literature, we obtained...
Although sodium-glucose cotransporter 2 inhibitors (SGLT2i) have shown benefits in acute decompensated heart failure (ADHF), the extrapolability of clinical trial results to general populations remains limited. This study evaluated impact early in-hospital SGLT2i prescription on ADHF outcomes a real-world setting. Prospective cohort study. Adults with from third-level cardiovascular center were included. The primary analysis compared (prescribed within 48 hours admission) versus late after...
Most people living with multiple long-term condition multimorbidity (MLTC-M) are under 65 (defined as 'early onset'). Earlier and greater accrual of conditions (LTCs) may be influenced by the timing nature exposure to key risk factors, wider determinants or other LTCs at different life stages. We have established a research collaboration titled 'MELD-B' understand how determinants, sentinel (the first LTC in lifecourse) sequence affect early-onset, burdensome MLTC-M, inform prevention...
Virtually all network analyses involve structural measures between pairs of vertices, or the vertices themselves, and large amount symmetry present in real-world complex networks is inherited by such measures. This has practical consequences which have not yet been explored full generality, nor systematically exploited practitioners. Here we study effect on arbitrary measures, show how this can be practice a number ways, from redundancy compression, to computational reduction. We also...
Signaling networks mediate environmental information to the cell nucleus. To perform this task effectively they must be able integrate multiple stimuli and distinguish persistent signals from transient fluctuations. However, ways in which signaling process noise are not well understood. Here we outline a mathematical framework that relates network's structure its capacity noise, use dissect noise-processing ability of networks. We find complex dense directed paths poor processors, while...
Adult tissues in multicellular organisms typically contain a variety of stem, progenitor and differentiated cell types arranged lineage hierarchy that regulates healthy tissue turnover. Lineage hierarchies disparate often exhibit common features, yet the general principles regulating their architecture are not known. Here, we provide formal framework for understanding relationship between molecular 'states' 'types', based on topology admissible state trajectories. We show self-renewing type...
Single-cell sequencing (sc-Seq) experiments are producing increasingly large data sets. However, sets do not necessarily contain amounts of information.Here, we formally quantify the information obtained from a sc-Seq experiment and show that it corresponds to an intuitive notion gene expression heterogeneity. We demonstrate natural relation between our heterogeneity cell type, decomposing into component attributable differential types (inter-cluster heterogeneity) remaining (intra-cluster...
Abstract Networks have provided extremely successful models of data and complex systems. Yet, as combinatorial objects, networks do not in general intrinsic coordinates typically lie an ambient space. The process assigning embedding space to a network has attracted great interest the past few decades, been efficiently applied fundamental problems inference, such link prediction, node classification, community detection. In this review, we provide user-friendly guide literature current trends...
We present a model of adaptive regulatory networks consisting simple biologically motivated rewiring procedure coupled to an elementary stability criterion. The resulting exhibit characteristic stationary heavy-tailed degree distribution, show complex structural microdynamics, and self-organize dynamically critical state. analytically that the observed criticality results from formation breaking transient feedback loops during process.
Abstract We present a topological method for the detection and quantification of bone microstructure from non-linear microscopy images. Specifically, we analyse second harmonic generation (SHG) two photon excited autofluorescence (TPaF) images tissue which capture distribution matrix (fibrillar collagen) structure autofluorescent molecules, respectively. Using persistent homology statistics with signed Euclidean distance transform filtration on binary patches images, are able to quantify...
We obtain the equivariant K-homology of classifying space EW for W, a right-angled or, more generally, an even Coxeter group. The key result is formula relative Bredon homology in terms cells. Our calculations amount to K-theory reduced C*-algebra via Baum–Connes assembly map.
Kleinberg introduced three natural clustering properties, or axioms, and showed they cannot be simultaneously satisfied by any algorithm. We present a new property, Monotonic Consistency, which avoids the well-known problematic behaviour of Kleinberg's Consistency axiom, impossibility result. Namely, we describe algorithm, Morse Clustering, inspired Theory in Differential Topology, satisfies original axioms with replaced Consistency. uncovers underlying flow structure on set graph returns...
Abstract We present an infinite series formula based on the Karoubi–Hamida integral, for universal Borel class evaluated H 2 n +1 (GL(ℂ)). For a cyclotomic field F we define canonical set of elements in K 3 ( ) and novel approach (based free differential calculus) to constructing them. Indeed, are able explicitly construct their images (GL(ℂ)) under Hurewicz map. Applying our these yields value V 1 ), which coincides with regulator R when is basis modulo torsion. = ℚ( e 2π i /3 computation...
Cooperative dynamics are common in ecology and population dynamics. However, their commonly high degree of complexity with a large number coupled degrees freedom renders them difficult to analyse. Here, we present graph-theoretical criterion, via diakoptic approach (divide-and-conquer) determine cooperative system's stability by decomposing the dependence graph into its strongly connected components (SCCs). In particular, show that linear system is Lyapunov stable if SCCs associated all have...