144 citations · 477 across the 11 of their papers we have counts for
11 papers
Generic elasticity of thermal, under-constrained systems
Cheng-Tai Lee, Matthias Merkel
Athermal (i.e. zero-temperature) under-constrained systems are typically floppy, but they can be rigidified by the application of external strain, which is theoretically well under…
Partition sum of thermal, under-constrained systems
Cheng-Tai Lee, Matthias Merkel
Athermal (i.e. zero-temperature) under-constrained systems are typically floppy, but they can be rigidified by the application of external strain. Following our recently developed…
Deforming polar active matter in a scalar field gradient
Muhamet Ibrahimi, Matthias Merkel
Active matter with local polar or nematic order is subject to the well-known Simha-Ramaswamy instability. It is so far unclear how, despite this instability, biological tissues can…
Tissue fluidization by cell-shape-controlled active stresses
Shao-Zhen Lin, Matthias Merkel, Jean-François Rupprecht
Biological cells can actively tune their intracellular architecture according to their overall shape. Here we explore the rheological implication of such coupling in a minimal mode…
Stiffening of under-constrained spring networks under isotropic strain
Cheng-Tai Lee, Matthias Merkel
Disordered spring networks are a useful paradigm to examine macroscopic mechanical properties of amorphous materials. Here, we study the elastic behavior of under-constrained sprin…
Phase separation dynamics in deformable droplets
Simon Gsell, Matthias Merkel
Phase separation can drive spatial organization of multicomponent mixtures. For instance in developing animal embryos, effective phase separation descriptions have been used to acc…
No unjamming transition in a marginal vertex model of biological tissue
Daniel M. Sussman, Matthias Merkel
Vertex models are a popular approach to modeling the mechanical and dynamical properties of dense biological tissues, describing the tissue as a network of connected polygons repre…
A geometrically controlled rigidity transition in a model for confluent 3D tissues
Matthias Merkel, Lisa Manning
The origin of rigidity in disordered materials is an outstanding open problem in statistical physics. Previously, a class of 2D cellular models has been shown to undergo a rigidity…
Correlating Cell Shape and Cellular Stress in Motile Confluent Tissues
Xingbo Yang, Dapeng Bi, Michael Czajkowski +3
Collective cell migration is a highly regulated process involved in wound healing, cancer metastasis and morphogenesis. Mechanical interactions among cells provide an important reg…
Triangles bridge the scales: Quantifying cellular contributions to tissue deformation
Matthias Merkel, Raphaël Etournay, Marko Popović +3
In this article, we propose a general framework to study the dynamics and topology of cellular networks that capture the geometry of cell packings in two-dimensional tissues. Such…
Active dynamics of tissue shear flow
Marko Popović, Amitabha Nandi, Matthias Merkel +4
We present a hydrodynamic theory to describe shear flows in developing epithelial tissues. We introduce hydrodynamic fields corresponding to state properties of constituent cells a…