[HTML][HTML] Noise robustness of persistent homology on greyscale images, across filtrations and signatures

R Turkeš, J Nys, T Verdonck, S Latré - Plos one, 2021 - journals.plos.org
Topological data analysis is a recent and fast growing field that approaches the analysis of
datasets using techniques from (algebraic) topology. Its main tool, persistent homology (PH) …

Active transport in complex environments

A Martínez-Calvo, C Trenado-Yuste, SS Datta - 2023 - books.rsc.org
A key feature of many living systems, such as bacteria and eukaryotic cells, is their ability to
actively self-propel. Indeed, cellular motility underlies numerous critical biological …

Methods for quantifying self-organization in biology: a forward-looking survey and tutorial

A Volkening - arXiv preprint arXiv:2407.10832, 2024 - arxiv.org
From flocking birds to schooling fish, organisms interact to form collective dynamics across
the natural world. Self-organization is present at smaller scales as well: cells interact and …

Coarse-graining the vertex model and its response to shear

G Triguero-Platero, F Ziebert, LL Bonilla - Physical Review E, 2023 - APS
Tissue dynamics and collective cell motion are crucial biological processes. Their biological
machinery is mostly known, and simulation models such as the active vertex model exist and …

[HTML][HTML] Free and interfacial boundaries in individual-based models of multicellular biological systems

DPJ Germano, A Zanca, ST Johnston, JA Flegg… - Bulletin of Mathematical …, 2023 - Springer
Coordination of cell behaviour is key to a myriad of biological processes including tissue
morphogenesis, wound healing, and tumour growth. As such, individual-based …

Fingering instability in spreading epithelial monolayers: roles of cell polarisation, substrate friction and contractile stresses

C Trenado, LL Bonilla, A Martínez-Calvo - Soft Matter, 2021 - pubs.rsc.org
Collective cell migration plays a crucial role in many developmental processes that underlie
morphogenesis, wound healing, or cancer progression. In such coordinated behaviours …

[HTML][HTML] Dissecting glial scar formation by spatial point pattern and topological data analysis

D Manrique-Castano, D Bhaskar, A ElAli - Scientific Reports, 2024 - nature.com
Glial scar formation represents a fundamental response to central nervous system (CNS)
injuries. It is mainly characterized by a well-defined spatial rearrangement of reactive …

[HTML][HTML] Anomalous angiogenesis in retina

R Vega, M Carretero, LL Bonilla - Biomedicines, 2021 - mdpi.com
Age-related macular degeneration (AMD) may cause severe loss of vision or blindness,
particularly in elderly people. Exudative AMD is characterized by the angiogenesis of blood …

Soliton approximation in continuum models of leader-follower behavior

F Terragni, WD Martinson, M Carretero, PK Maini… - Physical Review E, 2023 - APS
Complex biological processes involve collective behavior of entities (bacteria, cells,
animals) over many length and time scales and can be described by discrete models that …

[HTML][HTML] Characterizing emerging features in cell dynamics using topological data analysis methods

M Dawson, C Dudley, S Omoma, HR Tung… - Mathematical …, 2023 - aimspress.com
Filament-motor interactions inside cells play essential roles in many developmental as well
as other biological processes. For instance, actin-myosin interactions drive the emergence …