[HTML][HTML] Topological data analysis in biomedicine: A review

Y Skaf, R Laubenbacher - Journal of Biomedical Informatics, 2022 - Elsevier
Significant technological advances made in recent years have shepherded a dramatic
increase in utilization of digital technologies for biomedicine–everything from the …

[HTML][HTML] Advancing precision medicine: algebraic topology and differential geometry in radiology and computational pathology

RM Levenson, Y Singh, B Rieck, QA Hathaway… - Laboratory …, 2024 - Elsevier
Precision medicine aims to provide personalized care based on individual patient
characteristics, rather than guideline-directed therapies for groups of diseases or patient …

Spatiochemical characterization of the pancreas using mass spectrometry imaging and topological data analysis

H Derwae, M Nijs, A Geysels, E Waelkens… - Analytical …, 2023 - ACS Publications
Mass Spectrometry Imaging (MSI) is a technique used to identify the spatial distribution of
molecules in tissues. An MSI experiment results in large amounts of high dimensional data …

Multiscale topology characterizes dynamic tumor vascular networks

BJ Stolz, J Kaeppler, B Markelc, F Braun… - Science …, 2022 - science.org
Advances in imaging techniques enable high-resolution three-dimensional (3D)
visualization of vascular networks over time and reveal abnormal structural features such as …

The persistent Laplacian for data science: Evaluating higher-order persistent spectral representations of data

T Davies, Z Wan… - … Conference on Machine …, 2023 - proceedings.mlr.press
Persistent homology is arguably the most successful technique in Topological Data
Analysis. It combines homology, a topological feature of a data set, with persistence, which …

[HTML][HTML] Microstructure evolution of Solid Oxide Fuel Cell anodes characterized by persistent homology

P Pawłowski, S Buchaniec, T Prokop, H Iwai, G Brus - Energy and AI, 2023 - Elsevier
Uncovering microstructure evolution mechanisms that accompany the long-term operation of
solid oxide fuel cells is a fundamental challenge in designing a more durable energy system …

Topological data analysis approach to extract the persistent homology features of ballistocardiogram signal in unobstructive atrial fibrillation detection

F Jiang, B Xu, Z Zhu, B Zhang - IEEE Sensors Journal, 2022 - ieeexplore.ieee.org
Atrial fibrillation (AF) is the most common arrhythmia, which requires long-term diagnosis
and treatment in a daily routine. Recently, ballistocardiogram (BCG), an unobstructive …

TopoLoop: A new tool for chromatin loop detection in live cells via single-particle tracking

A Kokkanti, A Atanasiu, D Kolbin… - The Journal of …, 2024 - pubs.aip.org
We present a novel method for identifying topological features of chromatin domains in live
cells using single-particle tracking and topological data analysis (TDA). By applying TDA to …

Supervised topological data analysis for MALDI mass spectrometry imaging applications

G Klaila, V Vutov, A Stefanou - BMC bioinformatics, 2023 - Springer
Background Matrix-assisted laser desorption/ionization mass spectrometry imaging (MALDI
MSI) displays significant potential for applications in cancer research, especially in tumor …

Persistence homology of proximity hyper-graphs for higher dimensional big data

RP Singh, PA Wilsey - … Conference on Big Data (Big Data), 2022 - ieeexplore.ieee.org
Persistent Homology (PH) is a method of Topological Data Analysis that analyzes the
topological structure of data to help data scientists infer relationships in the data to assist in …