The authors propose embedding watermarks in a subset of a model's faces to keep them in a predefined relationship with neighboring vertices so that any changes will ruin the relationship between the marked faces and neighboring vertices.
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Density amplifiers of cooperation for spatial games.
Proc Natl Acad Sci U S A
December 2024
Institute of Science and Technology Austria, Klosterneuburg 3400, Austria.
Spatial games provide a simple and elegant mathematical model to study the evolution of cooperation in networks. In spatial games, individuals reside in vertices, adopt simple strategies, and interact with neighbors to receive a payoff. Depending on their own and neighbors' payoffs, individuals can change their strategy.
View Article and Find Full Text PDFPairing-specific microstructure in depletion gels of bidisperse colloids.
Soft Matter
November 2024
Department of Chemical and Biomolecular Engineering, North Carolina State University, 911 Partners Way, Raleigh, NC 27606, USA.
We report the ensemble-averaged and pairing-specific network microstructure formed by short-range depletion attractions in hard sphere-like colloidal systems. Gelation is induced by adding polystyrene molecules at a fixed concentration to colloids with different colloid bidispersity ratios ( = 1, 0.72, and 0.
View Article and Find Full Text PDFTension Remodeling Regulates Topological Transitions in Epithelial Tissues.
PRX Life
November 2023
Department of Physics, Carnegie Mellon University, Pittsburgh, Pennsylvania 15213, USA.
Cell neighbor exchanges play a critical role in regulating tissue fluidity during epithelial morphogenesis and repair. , these neighbor exchanges are often hindered by the formation of transiently stable fourfold vertices, which can develop into complex multicellular rosettes where five or more cell junctions meet. Despite their importance, the mechanical origins of multicellular rosettes have remained elusive, and current cellular models lack the ability to explain their formation and maintenance.
View Article and Find Full Text PDFSpurious correlations in surface-based functional brain imaging.
bioRxiv
July 2024
School of Psychological Sciences, College of Engineering, Science and the Environment, University of Newcastle, Newcastle, NSW, Australia.
The study of functional MRI data is increasingly performed after mapping from volumetric voxels to surface vertices. Processing pipelines commonly used to achieve this mapping produce meshes with uneven vertex spacing, with closer neighbours in sulci compared to gyri. Consequently, correlations between the fMRI time series of neighbouring sulcal vertices are stronger than expected.
View Article and Find Full Text PDFSpatial invasion of cooperative parasites.
Theor Popul Biol
October 2024
Frankfurt Institute for Advanced Studies, Frankfurt, Ruth-Moufang-Straße 1, 60438, Germany. Electronic address:
In this paper we study invasion probabilities and invasion times of cooperative parasites spreading in spatially structured host populations. The spatial structure of the host population is given by a random geometric graph on [0,1], n∈N, with a Poisson(N)-distributed number of vertices and in which vertices are connected over an edge when they have a distance of at most r with r of order N for some 0<β<1. At a host infection many parasites are generated and parasites move along edges to neighbouring hosts.
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