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Found 20 papers, 8 papers with code
Using a probabilistic approach to derive a two-phase model of flow-induced cell migration
Using velocity-space averaging, we reformulate the model as a system of continuum equations for the spatio-temporal evolution of the cell volume fraction and flux, in response to forcing terms which depend on the local direction and magnitude of the mechanochemical cues.
Topological classification of tumour-immune interactions and dynamics
We find additionally that dimension 0 persistence applied to macrophage data, representing multi-scale clusters of the spatial arrangement of macrophages, performs best at this classification task at early time steps, prior to full tumour development, and performs even better when time-dependent data are included; in contrast, topological measures capturing the shape of the tumour, such as tortuosity and punctures in the cell arrangement, perform best at intermediate and later stages.
Computational modelling of angiogenesis: The importance of cell rearrangements during vascular growth
This review of the theoretical modelling of angiogenesis is the first to focus on the phenomenon of cell mixing during early sprouting.
Investigating the influence of growth arrest mechanisms on tumour responses to radiotherapy
Cancer is a heterogeneous disease and tumours of the same type can differ greatly at the genetic and phenotypic levels.
Detecting Temporal shape changes with the Euler Characteristic Transform
Organoids are multi-cellular structures which are cultured in vitro from stem cells to resemble specific organs (e. g., brain, liver) in their three-dimensional composition.
Macrophage anti-inflammatory behaviour in a multiphase model of atherosclerotic plaque development
Finally, we introduce an additional bead species to model macrophage tagging via microspheres, and we use the extended model to explore how high rates of cell death and low rates of efferocytosis and emigration prevent the clearance of macrophages from the plaque.
Designing experimental conditions to use the Lotka-Volterra model to infer tumor cell line interaction types
Structural identifiability of the Lotka-Volterra model is confirmed, and practical identifiability is assessed for three experimental designs: (a) use of a single data set, with a mixture of both cell lines observed over time, (b) a sequential design where growth rates and carrying capacities are estimated using data from experiments in which each cell line is grown in isolation, and then interaction parameters are estimated from an experiment involving a mixture of both cell lines, and (c) a parallel experimental design where all model parameters are fitted to data from two mixtures simultaneously.
Dynamic fibronectin assembly and remodeling by leader neural crest cells prevents jamming in collective cell migration
Collective cell migration plays an essential role in vertebrate development, yet the extent to which dynamically changing microenvironments influence this phenomenon remains unclear.
Minimal Morphoelastic Models of Solid Tumour Spheroids: A Tutorial
Tumour spheroids have been the focus of a variety of mathematical models, ranging from Greenspan's classical study of the 1970s through to contemporary agent-based models.
Multiscale methods for signal selection in single-cell data
Analysis of single-cell transcriptomics often relies on clustering cells and then performing differential gene expression (DGE) to identify genes that vary between these clusters.
Structural features of microvascular networks trigger blood-flow oscillations
We analyse mathematical models in order to understand how microstructural features of vascular networks may affect blood-flow dynamics, and to identify particular characteristics that promote the onset of self-sustained oscillations.
Statistical and Topological Summaries Aid Disease Detection for Segmented Retinal Vascular Images
Disease complications can alter vascular network morphology and disrupt tissue functioning.
Predicting radiotherapy patient outcomes with real-time clinical data using mathematical modelling
Hindering effective use of models in this context is the sparsity of clinical measurements juxtaposed with the model complexity required to produce the full range of possible patient responses.
Algebra, Geometry and Topology of ERK Kinetics
The MEK/ERK signalling pathway is involved in cell division, cell specialisation, survival and cell death.
Spatio-temporal modelling of phenotypic heterogeneity in tumour tissues and its impact on radiotherapy treatment
We present a mathematical model that describes how tumour heterogeneity evolves in a tissue slice that is oxygenated by a single blood vessel.
A method to coarse-grain multi-agent stochastic systems with regions of multistability
Here we use large deviation theory to decrease the computational cost of a spatially-extended multi-agent stochastic system with a region of multi-stability by coarse-graining it to a continuous time Markov chain on the state space of stable steady states of the original system.
Phenotypic variation modulates the growth dynamics and response to radiotherapy of solid tumours under normoxia and hypoxia
We use a combination of numerical and analytical techniques to quantify how under physiological oxygen levels the cells evolve to a differentiated phenotype and under low oxygen level (i. e., hypoxia) they de-differentiate.
Topological data analysis distinguishes parameter regimes in the Anderson-Chaplain model of angiogenesis
Here we simulate the Anderson-Chaplain model of angiogenesis at different parameter values and quantify the vessel architectures of the resulting synthetic data.
Multiscale Topology Characterises Dynamic Tumour Vascular Networks
Advances in imaging techniques enable high resolution 3D visualisation of vascular networks over time and reveal abnormal structural features such as twists and loops, and their quantification is an active area of research.
A Multiphase Model of Growth Factor-Regulated Atherosclerotic Cap Formation
In mature plaques, vascular smooth muscle cells (SMCs) are recruited from the adjacent medial layer to deposit a cap of fibrous collagen over the fatty plaque core.
