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A range of technologies require the directed motion of nanoscale droplets on solid substrates. A way of realizing this effect is durotaxis, whereby a stiffness gradient of a substrate can induce directional motion without requiring an…

Soft Condensed Matter · Physics 2018-05-23 P. E. Theodorakis , S. A. Egorov , A. Milchev

The self-sustained motion of fluids on gradient substrates is a spectacular phenomenon, which can be employed and controlled in applications by carefully engineering the substrate properties. Here, we report on a design of a gel substrate…

Fluid Dynamics · Physics 2024-08-22 R. Kajouri , P. E. Theodorakis , A. Milchev

Applications such as digital microfluidics and bio-diagnostics rely on droplet locomotion. A prominent example of such motion is durotaxis, a phenomenon that requires a stiffness gradient along a surface for the transport of liquids, cells,…

Fluid Dynamics · Physics 2026-04-21 Panagiotis E. Theodorakis , Andrey Milchev

Durotaxis motion is a spectacular phenomenon manifesting itself by the autonomous motion of a nano-object between parts of a substrate with different stiffness. This motion usually takes place along a stiffness gradient from softer to…

Fluid Dynamics · Physics 2023-11-07 Russell Kajouri , Panagiotis E. Theodorakis , Jan Židek , Andrey Milchev

Motile biological cells in tissue often display the phenomenon of durotaxis, i.e. they tend to move towards stiffer parts of substrate tissue. The mechanism for this behavior is not completely understood. We consider simplified models for…

Biological Physics · Physics 2019-01-03 Charles R. Doering , Xiaoming Mao , Leonard M. Sander

Most passive droplet transport strategies rely on spatial variations of material properties to drive droplet motion, leading to gradient-based mechanisms with intrinsic length scales that limit the droplet velocity or the transport…

Fluid Dynamics · Physics 2025-12-01 Sthavishtha R. Bhopalam , Jesus Bueno , Hector Gomez

Using extensive molecular dynamics simulation of a coarse-grained model, we demonstrate the possibility of sustained unidirectional motion (durotaxis) of droplets without external energy supply when placed on a polymer brush substrate with…

Cells move differently on substrates with different elasticities. In particular, the persistence time of their motion is higher on stiffer substrates. We show that this behavior will result in a net transport of cells directed up a…

Biological Physics · Physics 2017-03-09 Elizaveta A. Novikova , Matthew Raab , Dennis E. Discher , Cornelis Storm

Fluid droplets can be induced to move over rigid or flexible surfaces under external or body forces. We describe the effect of variations in material properties of a flexible substrate as a mechanism for motion. In this paper, we consider a…

Soft Condensed Matter · Physics 2019-08-27 Aaron Bardall , Shih-Yuan Chen , Karen E. Daniels , Michael Shearer

Biological cells are able to adapt their behaviour in response to environmental cues. Durotaxis is a phenomenon in which cells adjust their migration depending on the mechanical properties of a surrounding substrate. Although durotaxis has…

Biological Physics · Physics 2026-05-11 Sohei Nakamura , Mitsusuke Tarama

Nano-patterned substrates offer possibilities for controlling the motion of fluids without external energy supply in novel technologies in microfluidics, coatings, etc. Here, we report on the rugotaxial motion of droplets on wrinkled…

Fluid Dynamics · Physics 2023-06-26 Panagiotis E. Theodorakis , Sergei A. Egorov , Andrey Milchev

We demonstrate \textit{bendotaxis}, a novel mechanism for droplet self-transport at small scales. A combination of bending and capillarity in a thin channel causes a pressure gradient that, in turn, results in the spontaneous movement of a…

Soft Condensed Matter · Physics 2019-03-12 Alexander T. Bradley , Finn Box , Ian J. Hewitt , Dominic Vella

In microfluidic technologies, direct patterning of liquid without resorting to micromachined solid structures has various advantages including reduction of the frictional dissipation and the fabrication cost. This fluid dynamics video…

Fluid Dynamics · Physics 2008-10-08 Minhee Lee , Ho-Young Kim

Pinning of liquid droplets on solid substrates is ubiquitous and plays an essential role in many applications, especially in various areas, such as microfluidics and biology. Although pinning can often reduce the efficiency of various…

Fluid Dynamics · Physics 2023-11-28 Panagiotis E. Theodorakis , Alidad Amirfazli , Bin Hu , Zhizhao Che

Earlier works found out spontaneous directional motion of liquid droplets on hydrophilic conical surfaces, however, not hydrophobic case. Here we show that droplets on any surface may take place spontaneous directional motion without…

Chemical Physics · Physics 2011-01-21 Cunjing Lv , Chao Chen , Yajun Yin , Fan-gang Tseng , Quanshui Zheng

Cells exhibit qualitatively different behaviors on substrates with different rigidities. The fact that cells are more polarized on the stiffer substrate motivates us to construct a two-dimensional cell with the distribution of focal…

Biological Physics · Physics 2017-07-26 Guangyuan Yu , Jingchen Feng , Haoran Man , Herbert Levine

The effect of a step wise change in the pillar density on the dynamics of droplets is investigated via three-dimensional lattice Boltzmann simulations. For the same pillar density gradient but different pillar arrangements, both motion over…

Soft Condensed Matter · Physics 2015-05-14 Nasrollah Moradi , fathollah Varnik , Ingo Steinbach

Living tissues undergo wetting transitions: On a surface, they can either form a droplet-like cell aggregate or spread as a monolayer of migrating cells. Tissue wetting depends not only on the chemical but also on the mechanical properties…

Biological Physics · Physics 2020-05-14 Ricard Alert , Jaume Casademunt

Many types of motile cells perform durotaxis, namely, directed migration following gradients of substrate stiffness. Recent experiments have revealed that cell monolayers can migrate toward stiffer regions even when individual cells do not…

Biological Physics · Physics 2022-01-26 Irina Pi-Jaumà , Ricard Alert , Jaume Casademunt

This paper considers the interaction between two droplets placed on a substrate in immediate vicinity. We show here that when the two droplets are of different fluids and especially when one of the droplet is highly volatile, a wealth of…

Fluid Dynamics · Physics 2015-06-11 Mathieu Sellier , Volker Nock , Cécile Gaubert , Claude Verdier
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