The Notch signaling pathway plays an essential role in a wide variety of biological
processes including cell fate determination of vascular endothelial cells and the regulation …

The Notch signaling pathway plays a significant role in embryonic cell fate determination
and adult tissue homeostasis. Various studies have demonstrated the deep involvement of …

Morpheus is a modeling environment for the simulation and integration of cell-based models
with ordinary differential equations and reaction-diffusion systems. It allows rapid …

In this chapter we have presented mathematical modeling approaches to biological pattern
formation. While reaction-diffusion models are appropriate to describe the spatio-temporal …

Notch signaling pathway mediates cell-fate determination during embryonic development,
wound healing, and tumorigenesis. This pathway is activated when the ligand Delta or the …

Metastasis can involve repeated cycles of epithelial-to-mesenchymal transition (EMT) and its
reverse mesenchymal-to-epithelial transition. Cells can also undergo partial transitions to …

During development, cells undergo symmetry breaking into differentiated subpopulations
that self-organize into complex structures. 1, 2, 3, 4, 5 However, few tools exist to …

Cell fate determination by lateral inhibition via Notch/Delta signalling has been extensively
studied. Most formalised models consider Notch/Delta interactions in fields of cells, with …

Morphogenetic modelling and simulation help to understand the processes by which the
form and shapes of organs (organogenesis) and organisms (embryogenesis) emerge. This …

Notch pathway is an evolutionarily conserved cell–cell communication mechanism
governing cell-fate during development and tumor progression. It is activated when Notch …