70 citations · 114 across the 11 of their papers we have counts for
11 papers
Isotropic Fourier Neural Operators
Michael F. Staddon
Fourier Neural Operators are deep learning models that learn mappings between function spaces and can be used to learn and solve partial differential equations (PDEs), in some case…
Cell proliferation maintains cell area polydispersity in the growing fruit fly wing epithelium
Michael F. Staddon, Natalie A. Dye, Marko Popović +1
Developing epithelial tissues coordinate cell proliferation and mechanical forces to achieve proper size and shape. As epithelial cells tightly adhere together to form the confluen…
Phyllotaxis in a Keller-Segel model
Michael F. Staddon
Plants often exhibit regular arrangements of seeds or leaves, known as phyllotaxis, and can famously exhibit Fibonacci spirals, as in sunflower heads or on pine cones. While there…
Curved edges in the vertex model increase tissue fluidity
Michael F. Staddon, Carl D. Modes
The Vertex Model for epithelia models the apical surface of the tissue by a tiling, with polygons representing cells and edges representing cell-cell junctions. The mechanics are d…
How the zebra got its stripes: Curvature-dependent diffusion orients Turing patterns on 3D surfaces
Michael F. Staddon
Many animals have patterned fur, feathers, or scales, such as the stripes of a zebra. Turing models, or reaction-diffusion systems, are a class of mathematical models of interactin…
Finite Elasticity of the Vertex Model and its Role in Rigidity of Curved Cellular Tissues
Arthur Hernandez, Michael F. Staddon, Michael Moshe +1
Using a mean field approach and simulation, we study the non-linear mechanical response of the vertex model (VM) of biological tissue under compression and dilation. The VM is know…
The role of non-affine deformations in the elastic behavior of the cellular vertex model
Michael F. Staddon, Arthur Hernandez, Mark J. Bowick +2
The vertex model of epithelia describes the apical surface of a tissue as a tiling of polygonal cells, with a mechanical energy governed by deviations in cell shape from preferred,…
Interplay between substrate rigidity and tissue fluidity regulates cell monolayer spreading
Michael F. Staddon, Michael P. Murrell, Shiladitya Banerjee
Coordinated and cooperative motion of cells is essential for embryonic development, tissue morphogenesis, wound healing and cancer invasion. A predictive understanding of the emerg…
Anomalous elasticity of cellular tissue vertex model
Arthur Hernandez, Michael F. Staddon, Mark J. Bowick +2
Vertex Models, as used to describe cellular tissue, have an energy controlled by deviations of each cell area and perimeter from target values. The constrained nonlinear relation b…
Cooperation of dual modes of cell motility promotes epithelial stress relaxation to accelerate wound healing
Michael F. Staddon, Dapeng Bi, A. Pasha Tabatabai +3
Collective cell migration in cohesive units is vital for tissue morphogenesis, wound repair, and immune response. While the fundamental driving forces for collective cell motion st…
Epithelial Wound Healing Coordinates Distinct Actin Network Architectures to Conserve Mechanical Work and Balance Power
Visar Ajeti, A. Pasha Tabatabai, Andrew J. Fleszar +8
How cells with diverse morphologies and cytoskeletal architectures modulate their mechanical behaviors to drive robust collective motion within tissues is poorly understood. During…