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In this work, a new model for macroscopic plant tissue growth based on dynamical Riemannian geometry is presented. We treat 1D and 2D tissues as continuous, deformable, growing geometries for sizes larger than 1mm. The dynamics of the…

Tissues and Organs · Quantitative Biology 2016-02-05 Julia Pulwicki

Contour trees describe the topology of level sets in scalar fields and are widely used in topological data analysis and visualization. A main challenge of utilizing contour trees for large-scale scientific data is their computation at scale…

Computational Geometry · Computer Science 2024-10-01 Mingzhe Li , Hamish Carr , Oliver Rübel , Bei Wang , Gunther H. Weber

The growth of several biological tissues is known to be controlled in part by local geometrical features, such as the curvature of the tissue interface. This control leads to changes in tissue shape that in turn can affect the tissue's…

Tissues and Organs · Quantitative Biology 2016-12-01 Almie Alias , Pascal R Buenzli

Morphological trends in growing colonies of living cells are at the core of physiological and evolutionary processes. Using active gel equations, which include cell division, we show that shape changes during the growth can be regulated by…

Soft Condensed Matter · Physics 2016-07-27 Amin Doostmohammadi , Sumesh P. Thampi , Julia M. Yeomans

Transport of viscous fluid through porous media is a direct consequence of the pore structure. Here we investigate transport through a specific class of two-dimensional porous geometries, namely those formed by fluid-mechanical erosion. We…

Fluid Dynamics · Physics 2020-05-20 Shang-Huan Chiu , M. N. J. Moore , Bryan D. Quaife

Various modifications of decision trees have been extensively used during the past years due to their high efficiency and interpretability. Tree node splitting based on relevant feature selection is a key step of decision tree learning, at…

Machine Learning · Computer Science 2017-09-05 Dmitry Ignatov , Andrey Ignatov

It is known that an axisymmetric viscous film flowing down the outside of a thin vertical fiber becomes unstable to interfacial perturbations. We present an experimental study using fluids with different densities, surface tensions and…

Fluid Dynamics · Physics 2009-11-13 Linda B. Smolka , Justin North , Bree K. Guerra

The evolution of turbulent spots in a parallel shear flow is studied by means of full three-dimensional numerical simulations. The flow is bounded by free surfaces and driven by a volume force. Three regions in the spanwise spot…

Chaotic Dynamics · Physics 2009-11-07 Joerg Schumacher , Bruno Eckhardt

Transport networks are crucial to the functioning of natural systems and technological infrastructures. For flow networks in many scenarios, such as rivers or blood vessels, acyclic networks (i.e., trees) are optimal structures when…

Adaptation and Self-Organizing Systems · Physics 2019-12-05 Erik Andreas Martens , Konstantin Klemm

Sand fences are often erected to reduce wind speed, prevent aeolian soil erosion, and induce sand deposition and dune formation in areas affected by sand encroachment and desertification. However, the search for the most efficient array of…

We consider a one-dimensional elastic membrane, which is pushed by growing filaments. The filaments tend to grow by creating local protrusions in the membrane and this process has surface energy and bending energy costs. Although it is…

Biological Physics · Physics 2019-08-05 Raj Kumar Sadhu , Sakuntala Chatterjee

Periodic sediment patterns have been observed on Earth in riverbeds and sand and snow deserts, but also in other planetary environments. One of the most ubiquitous patterns, familiar wind or 'impact' ripples, adorns sand beaches and arid…

Geophysics · Physics 2025-05-02 C. W. Lester , A. B. Murray , Orencio Duran , B. Andreotti , P. Claudin

In meandering rivers, interactions between flow, sediment transport, and bed topography affect diverse processes, including bedform development and channel migration. Predicting how these interactions affect the spatial patterns and…

Planetary rotation organizes fluid motions into coherent, long-lived swirls, known as large-scale vortices (LSVs), which play an important role in the dynamics and long-term evolution of geophysical and astrophysical fluids. Here, using…

Fluid Dynamics · Physics 2020-06-18 Louis-Alexandre Couston , Daniel Lecoanet , Benjamin Favier , Michael Le Bars

Phyllotactic patterns, i.e. regular arrangements of leaves or seeds around a plant stem, are fascinating examples of complex structures encountered in Nature. In botany, their symmetries develop when a new primordium periodically grows in…

Chemical Physics · Physics 2024-10-03 Giulio Facchini , Marcello Budroni , Gabor Schuszter , Fabian Brau , Anne De Wit

The margins within the geographic range of species are often specific in terms of ecological and evolutionary processes, and can strongly influence the species' reaction to climate change. One of the frequently observed features at range…

Populations and Evolution · Quantitative Biology 2020-02-28 R. Juhász , B. Oborny

A coastal eddy is modelled as a barotropic vortex propagating along a coastal shelf. If the vortex speed matches the phase speed of any coastal trapped shelf wave modes, a shelf wave wake is generated leading to a flux of energy from the…

Fluid Dynamics · Physics 2023-06-22 Matthew N. Crowe , Edward R. Johnson

A contemporary procedure to grow artificial tissue is to seed cells onto a porous biomaterial scaffold and culture it within a perfusion bioreactor to facilitate the transport of nutrients to growing cells. Typical models of cell growth for…

Tissues and Organs · Quantitative Biology 2018-05-01 Andrew L. Krause , Dmitry Beliaev , Robert A. Van Gorder , Sarah L. Waters

We investigate the effect of turbulence on the combined condensational and collisional growth of cloud droplets by means of high resolution direct numerical simulations of turbulence and a superparticle approximation for droplet dynamics…

Atmospheric and Oceanic Physics · Physics 2020-01-29 Xiang-Yu Li , Axel Brandenburg , Gunilla Svensson , Nils Haugen , Bernhard Mehlig , Igor Rogachevskii

Most biological tissues grow by the synthesis of new material close to the tissue's interface, where spatial interactions can exert strong geometric influences on the local rate of growth. These geometric influences may be mechanistic, or…

Numerical Analysis · Mathematics 2020-05-28 Mohd Almie Alias , Pascal R Buenzli