Modelling of Tissue Invasion in Epithelial Monolayers

Alsubaie, Faris Saad; Khataee, Hamid; Neufeld, Zoltán

doi:10.3390/life13020427

Cited by 3 publications

(1 citation statement)

References 39 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The tissue mechanics has been studied in physical models in the past. Recently, selection dynamics has been studied using biomechanical models of tissue formation [ 68 ].…”

Section: Discussionmentioning

confidence: 99%

Evolutionary dynamics of mutants that modify population structure

Tkadlec,

Kaveh,

Chatterjee

et al. 2023

J. R. Soc. Interface.

View full text Add to dashboard Cite

Natural selection is usually studied between mutants that differ in reproductive rate, but are subject to the same population structure. Here we explore how natural selection acts on mutants that have the same reproductive rate, but different population structures. In our framework, population structure is given by a graph that specifies where offspring can disperse. The invading mutant disperses offspring on a different graph than the resident wild-type. We find that more densely connected dispersal graphs tend to increase the invader’s fixation probability, but the exact relationship between structure and fixation probability is subtle. We present three main results. First, we prove that if both invader and resident are on complete dispersal graphs, then removing a single edge in the invader’s dispersal graph reduces its fixation probability. Second, we show that for certain island models higher invader’s connectivity increases its fixation probability, but the magnitude of the effect depends on the exact layout of the connections. Third, we show that for lattices the effect of different connectivity is comparable to that of different fitness: for large population size, the invader’s fixation probability is either constant or exponentially small, depending on whether it is more or less connected than the resident.

show abstract

“…The tissue mechanics has been studied in physical models in the past. Recently, selection dynamics has been studied using biomechanical models of tissue formation [ 68 ].…”

Section: Discussionmentioning

confidence: 99%

Evolutionary dynamics of mutants that modify population structure

Tkadlec,

Kaveh,

Chatterjee

et al. 2023

J. R. Soc. Interface.

View full text Add to dashboard Cite

show abstract

Mathematical modeling of evolution of cell networks in epithelial tissues

Krasnyakov

2024

Quant. Biol.

View full text Add to dashboard Cite

Epithelial cell networks imply a packing geometry characterized by various cell shapes and distributions in terms of number of cell neighbors and areas. Despite such simple characteristics describing cell sheets, the formation of bubble‐like cells during the morphogenesis of epithelial tissues remains poorly understood. This study proposes a topological mathematical model of morphogenesis in a squamous epithelial. We introduce a new potential that takes into account not only the elasticity of cell perimeter and area but also the elasticity of their internal angles. Additionally, we incorporate an integral equation for chemical signaling, allowing us to consider chemo‐mechanical cell interactions. In addition to the listed factors, the model takes into account essential processes in real epithelial, such as cell proliferation and intercalation. The presented mathematical model has yielded novel insights into the packing of epithelial sheets. It has been found that there are two main states: one consists of cells of the same size, and the other consists of “bubble” cells. An example is provided of the possibility of accounting for chemo‐mechanical interactions in a multicellular environment. The introduction of a parameter determining the flexibility of cell shapes enables the modeling of more complex cell behaviors, such as considering change of cell phenotype. The developed mathematical model of morphogenesis of squamous epithelium allows progress in understanding the processes of formation of cell networks. The results obtained from mathematical modeling are of significant importance for understanding the mechanisms of morphogenesis and development of epithelial tissues. Additionally, the obtained results can be applied in developing methods to influence morphogenetic processes in medical applications.

show abstract

Modelling the effect of cell motility on mixing and invasion in epithelial monolayers

Alsubaie,

Neufeld

2024

J Biol Phys

View full text Add to dashboard Cite

Collective cell invasion underlies several biological processes such as wound healing, embryonic development, and cancerous invasion. Here, we investigate the impact of cell motility on invasion in epithelial monolayers and its coupling to cellular mechanical properties, such as cell-cell adhesion and cortex contractility. We develop a two-dimensional computational model for cells with active motility based on the cellular Potts model, which predicts that the cellular invasion speed is mainly determined by active cell motility and is independent of the biological and mechanical properties of the cells. We also find that, in general, motile cells out-compete and invade non-motile cells, however, this can be reversed by differential cell proliferation. Stable coexistence of motile and static cell types is also possible for certain parameter regimes.

show abstract

Modelling of Tissue Invasion in Epithelial Monolayers

Cited by 3 publications

References 39 publications

Evolutionary dynamics of mutants that modify population structure

Evolutionary dynamics of mutants that modify population structure

Mathematical modeling of evolution of cell networks in epithelial tissues

Modelling the effect of cell motility on mixing and invasion in epithelial monolayers

Contact Info

Product

Resources

About