A Bayesian sequential learning framework to parameterise continuum models of melanoma invasion into human skin
We present a novel framework to parameterise a mathematical model of cell invasion that
describes how a population of melanoma cells invades into human skin tissue. Using simple …
describes how a population of melanoma cells invades into human skin tissue. Using simple …
Quantifying rates of cell migration and cell proliferation in co-culture barrier assays reveals how skin and melanoma cells interact during melanoma spreading and …
Malignant spreading involves the migration of cancer cells amongst other native cell types.
For example, in vivo melanoma invasion involves individual melanoma cells migrating …
For example, in vivo melanoma invasion involves individual melanoma cells migrating …
A modelling approach towards epidermal homoeostasis control
G Schaller, M Meyer-Hermann - Journal of theoretical biology, 2007 - Elsevier
In order to grasp the features arising from cellular discreteness and individuality, in large
parts of cell tissue modelling agent-based models are favoured. The subclass of off-lattice …
parts of cell tissue modelling agent-based models are favoured. The subclass of off-lattice …
[HTML][HTML] Melanoma cell colony expansion parameters revealed by approximate Bayesian computation
In vitro studies and mathematical models are now being widely used to study the underlying
mechanisms driving the expansion of cell colonies. This can improve our understanding of …
mechanisms driving the expansion of cell colonies. This can improve our understanding of …
Stochastic models of cell invasion with fluorescent cell cycle indicators
Fluorescent cell cycle labelling in cell biology experiments provides real time information
about the location of individual cells, as well as the phase of the cell cycle of individual cells …
about the location of individual cells, as well as the phase of the cell cycle of individual cells …
Models, measurement and inference in epithelial tissue dynamics
The majority of solid tumours arise in epithelia and therefore much research effort has gone
into investigating the growth, renewal and regulation of these tissues. Here we review …
into investigating the growth, renewal and regulation of these tissues. Here we review …
[HTML][HTML] Quantitative comparison of the spreading and invasion of radial growth phase and metastatic melanoma cells in a three-dimensional human skin equivalent …
Background Standard two-dimensional (2D) cell migration assays do not provide
information about vertical invasion processes, which are critical for melanoma progression …
information about vertical invasion processes, which are critical for melanoma progression …
[HTML][HTML] Model for in vivo progression of tumors based on co-evolving cell population and vasculature
SC Choe, G Zhao, Z Zhao, JD Rosenblatt, HM Cho… - Scientific reports, 2011 - nature.com
With countless biological details emerging from cancer experiments, there is a growing need
for minimal mathematical models which simultaneously advance our understanding of …
for minimal mathematical models which simultaneously advance our understanding of …
Quantifying uncertainty in parameter estimates for stochastic models of collective cell spreading using approximate Bayesian computation
Wound healing and tumour growth involve collective cell spreading, which is driven by
individual motility and proliferation events within a population of cells. Mathematical models …
individual motility and proliferation events within a population of cells. Mathematical models …
Bayesian calibration, validation, and uncertainty quantification of diffuse interface models of tumor growth
A Hawkins-Daarud, S Prudhomme… - Journal of mathematical …, 2013 - Springer
The idea that one can possibly develop computational models that predict the emergence,
growth, or decline of tumors in living tissue is enormously intriguing as such predictions …
growth, or decline of tumors in living tissue is enormously intriguing as such predictions …