Microenvironment-driven dynamic heterogeneity and phenotypic plasticity as a mechanism of melanoma therapy resistance
Drug resistance constitutes a major challenge in designing melanoma therapies.
Microenvironment-driven tumor heterogeneity and plasticity play a key role in this …
Microenvironment-driven tumor heterogeneity and plasticity play a key role in this …
Simulation and inference algorithms for stochastic biochemical reaction networks: from basic concepts to state-of-the-art
Stochasticity is a key characteristic of intracellular processes such as gene regulation and
chemical signalling. Therefore, characterizing stochastic effects in biochemical systems is …
chemical signalling. Therefore, characterizing stochastic effects in biochemical systems is …
Practical parameter identifiability for spatio-temporal models of cell invasion
We examine the practical identifiability of parameters in a spatio-temporal reaction–diffusion
model of a scratch assay. Experimental data involve fluorescent cell cycle labels, providing …
model of a scratch assay. Experimental data involve fluorescent cell cycle labels, providing …
Designing and interpreting 4D tumour spheroid experiments
Tumour spheroid experiments are routinely used to study cancer progression and treatment.
Various and inconsistent experimental designs are used, leading to challenges in …
Various and inconsistent experimental designs are used, leading to challenges in …
Using experimental data and information criteria to guide model selection for reaction–diffusion problems in mathematical biology
Reaction–diffusion models describing the movement, reproduction and death of individuals
within a population are key mathematical modelling tools with widespread applications in …
within a population are key mathematical modelling tools with widespread applications in …
A stochastic mathematical model of 4D tumour spheroids with real-time fluorescent cell cycle labelling
In vitro tumour spheroids have been used to study avascular tumour growth and drug design
for over 50 years. Tumour spheroids exhibit heterogeneity within the growing population that …
for over 50 years. Tumour spheroids exhibit heterogeneity within the growing population that …
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 ranges of unseen …
identifiability is important for making accurate predictions across wide ranges of unseen …
Quantifying tissue growth, shape and collision via continuum models and Bayesian inference
Although tissues are usually studied in isolation, this situation rarely occurs in biology, as
cells, tissues and organs coexist and interact across scales to determine both shape and …
cells, tissues and organs coexist and interact across scales to determine both shape and …
Exact sharp-fronted travelling wave solutions of the Fisher–KPP equation
A family of travelling wave solutions to the Fisher–KPP equation with speeds c=±5∕ 6 can
be expressed exactly using Weierstra ß elliptic functions. The well-known solution for c= 5∕ …
be expressed exactly using Weierstra ß elliptic functions. The well-known solution for c= 5∕ …
[HTML][HTML] New computational tools and experiments reveal how geometry affects tissue growth in 3D printed scaffolds
Understanding how tissue growth in porous scaffolds is influenced by geometry is a
fundamental challenge in the field of tissue engineering. We investigate the influence of …
fundamental challenge in the field of tissue engineering. We investigate the influence of …