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Found 14 papers, 5 papers with code
A first passage model of intravitreal drug delivery and residence time, in relation to ocular geometry, individual variability, and injection location
In human eyes, we investigated the impact of variability in vitreous cavity size and eccentricity, and in injection location, on drug elimination.
A glance at evolvability: a theoretical analysis of its role in the evolutionary dynamics of cell populations
Evolvability is defined as the ability of a population to generate heritable variation to facilitate its adaptation to new environments or selection pressures.
Phenotypic switching mechanisms determine the structure of cell migration into extracellular matrix under the `go-or-grow' hypothesis
Comparing a previously studied volume-filling model for a homogeneous population of generalist cells that can proliferate, move and degrade extracellular matrix (ECM) \cite{crossley2023travelling} to a novel model for a heterogeneous population comprising two distinct sub-populations of specialist cells that can either move and degrade ECM or proliferate, this study explores how different hypothetical phenotypic switching mechanisms affect the speed and structure of the invading cell populations.
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.
Parameter identifiability and model selection for partial differential equation models of cell invasion
When employing mechanistic models to study biological phenomena, practical parameter identifiability is important for making accurate predictions across wide range of unseen scenarios, as well as for understanding the underlying mechanisms.
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.
Travelling waves in a coarse-grained model of volume-filling cell invasion: Simulations and comparisons
Many reaction-diffusion models produce travelling wave solutions that can be interpreted as waves of invasion in biological scenarios such as wound healing or tumour growth.
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.
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.
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.
Analyzing the effect of cell rearrangement on Delta-Notch pattern formation
The Delta-Notch system plays a vital role in a number of areas in biology and typically forms a salt and pepper pattern in which cells strongly expressing Delta and cells strongly expressing Notch are alternately aligned via lateral inhibition.
Control of diffusion-driven pattern formation behind a wave of competency
In certain biological contexts, such as the plumage patterns of birds and stripes on certain species of fishes, pattern formation takes place behind a so-called "wave of competency".
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.
