Damage and fluctuations induce loops in optimal transport networks.
- E. Katifori, G. Szöllősi, M. Magnasco
- Computer SciencePhysical Review Letters
- 29 May 2009
Inspired by leaf venation, this work studies two possible reasons for the existence of a high density of loops in transport networks: resilience to damage and fluctuations in load.
Foldable structures and the natural design of pollen grains
- E. Katifori, S. Alben, E. Cerda, D. Nelson, J. Dumais
- BiologyProceedings of the National Academy of Sciences
- 19 April 2010
It is demonstrated that simple geometrical and mechanical principles explain how wall structure guides pollen grains toward distinct folding pathways and provides a framework to elucidate the functional significance of the very diverse pollen morphologies observed in angiosperms.
Quantifying Loopy Network Architectures
- E. Katifori, M. Magnasco
- Computer SciencePLoS ONE
- 6 October 2011
This work presents an algorithmic framework, the hierarchical loop decomposition, that allows mapping loopy networks to binary trees, preserving in the connectivity of the trees the architecture of the original graph, and performs a quantitative statistical comparison between predictions of theoretical models and naturally occurring loopy graphs.
Supply networks: Instabilities without overload
- Debsankha Manik, D. Witthaut, M. Timme
- 26 September 2014
The stability and bifurcations in oscillator models describing electric power grids are analyzed and it is demonstrated that these networks exhibit instabilities without overloads.
Limits of multifunctionality in tunable networks
- J. Rocks, H. Ronellenfitsch, Andrea J. Liu, S. Nagel, E. Katifori
- Biology, Computer ScienceProceedings of the National Academy of Sciences
- 1 May 2018
This work investigates the question of how many simultaneous functions a given network can be designed to fulfill, uncovering a phase transition that is related to other constraint–satisfaction transitions such as the jamming transition.
Global Optimization, Local Adaptation, and the Role of Growth in Distribution Networks.
- H. Ronellenfitsch, E. Katifori
- Computer SciencePhysical Review Letters
- 1 June 2016
This work shows how the growth of the underlying tissue, coupled to the dynamical equations for network development, can drive the system to a dramatically improved optimal state and provides a surprisingly simple explanation for the appearance of highly optimized transport networks in biology.
The smectic order of wrinkles
- H. Aharoni, D. Todorova, O. Albarrán, L. Goehring, R. Kamien, E. Katifori
- Materials ScienceNature Communications
- 13 March 2017
This work explains pattern breaking into domains, the properties of domain walls and wrinkle undulation of thin sheet elasticity and substrate response in liquid crystalline smectic-like systems at intermediate length scales.
Topological Phenotypes Constitute a New Dimension in the Phenotypic Space of Leaf Venation Networks
- H. Ronellenfitsch, J. Lasser, D. Daly, E. Katifori
- Computer SciencePLoS Comput. Biol.
- 16 July 2015
It is shown that topological information significantly improves identification of leaves from fragments by calculating a “leaf venation fingerprint” from topology and geometry, and opens the path to new quantitative identification techniques for leaves which go beyond simple geometric traits such as vein density.
Behavioral diversity in microbes and low-dimensional phenotypic spaces
- David Jordan, S. Kuehn, E. Katifori, S. Leibler
- PsychologyProceedings of the National Academy of Sciences
- 29 July 2013
A quantitative approach to studying behavioral diversity, which is applied to swimming of the ciliate Tetrahymena, and introduces a unique statistical framework grounded in the notion of a phenotypic space of behaviors that is effectively low dimensional with dimensions that correlate with a two-state “roaming and dwelling” model of swimming behavior.
Elastic building blocks for confined sheets.
- R. D. Schroll, E. Katifori, B. Davidovitch
- Materials SciencePhysical Review Letters
- 17 December 2010
It is shown that the emerging shapes exhibit the coexistence of two types of domains, a focused-stress patch is subject to a geometric, piecewise-inextensibility constraint, whereas a diffuse-stress region is characterized by a mechanical constraint-the dominance of a single component of the stress tensor.