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Biomolecular condensates play a central role in the spatial organization of living matter. Their formation is now well understood as a form of liquid-liquid phase separation that occurs very far from equilibrium. For instance, they can be…

Soft Condensed Matter · Physics 2024-10-14 Roxanne Berthin , Jacques Fries , Marie Jardat , Vincent Dahirel , Pierre Illien

Noneqiuilibrium dynamics of rotating droplets are studied by molecular dynamics simulations. Small deviations from the theoretical prediction are observed when the size of a droplet is small, and the deviations become smaller as the size of…

Computational Physics · Physics 2011-06-02 Hiroshi Watanabe , Naoki Mitsuda , Tomoaki Nogawa , Nobuyasu Ito

The generation of microdroplets via segmentation in microfluidic devices is of interest in many applications, from biochemical to pharmaceutical. This technique permits indeed much higher control on the droplet size, uniformity and…

Fluid Dynamics · Physics 2026-01-15 Alessio Innocenti , Andrea Poggi , Simone Camarri , Maria Vittoria Salvetti

Experiments of water droplets impacting small geometric posts of equal dimension to the drop diameter are shown in this fluid dynamics video. High speed photography shows that the dynamics of drop splashing are significantly affected by the…

Fluid Dynamics · Physics 2010-10-15 G. Juarez , Y. Zhang , T. Gastopoulos , P. E. Arratia

We report experiments investigating the behaviour of micron-scale fluid droplets jetted onto surfaces patterned with lyophobic and lyophilic stripes. The final droplet shape depends on the droplet size relative to that of the stripes. In…

Soft Condensed Matter · Physics 2007-05-23 J. Leopoldes , A. Dupuis , D. G. Bucknall , J. M. Yeomans

Droplet-based microfluidics systems have become widely used in recent years thanks to their advantages, varying from the possibility of handling small fluid volumes to directly synthesizing and encapsulating various living forms for…

Controlling the shape and position of moving and pinned droplets on a solid surface is an important feature often found in microfluidic applications. In this work, we consider a well investigated phase field model including contact line…

Numerical Analysis · Mathematics 2020-02-10 Henning Bonart , Christian Kahle

Living and engineered systems rely on the stable coexistence of two interspersed liquid phases. Yet surface tension drives their complete separation. Here we show that stable droplets of uniform and tuneable size can be produced through…

We have used the integral form of the conservation equations, to find a cubic formula for the drop size in liquid sprays in cross flows. Similar to our work on axial liquid sprays, the energy balance dictates that the initial kinetic energy…

Fluid Dynamics · Physics 2018-04-18 T. -W. Lee , Jung Eun Park , Ryoichi Kurose

Biomolecular condensates are essential for cellular organization and result from phase separation in systems far from thermodynamic equilibrium. Among various models, chemically active droplets play a significant role, consisting of…

Soft Condensed Matter · Physics 2025-05-19 Jacques Fries , Roxanne Berthin , Chengjie Luo , Marie Jardat , David Zwicker , Vincent Dahirel , Pierre Illien

The droplet size in emulsions is known to affect the rheological properties and plays a crucial role in the many applications of emulsions. Despite its importance, the underlying mechanisms governing droplet size in emulsification remain…

Soft Condensed Matter · Physics 2023-11-17 Manon L'Estimé , Michael Schindler , Noushine Shahidzadeh , Daniel Bonn

Controlling the shape and position of moving and pinned droplets on a solid surface is an important feature often found in microfluidic applications. However, automating them, e.g., for high-throughput applications, does rarely involve…

Fluid Dynamics · Physics 2020-07-09 Henning Bonart , Christian Kahle , Jens-Uwe Repke

Laplace pressure driven snap-off is a technique that is used to produce droplets for emulsions and microfluidics purposes. Previous predictions of droplet size have assumed a quasi-equilibrium low flow limit. We present a simple model to…

Fluid Dynamics · Physics 2016-09-16 Solomon Barkley , Samantha J. Scarfe , Eric R. Weeks , Kari Dalnoki-Veress

The numerical prediction of droplet base radius and contact angle depends on the choice of characteristic radius and height of droplet. In this study, a developed model on the basis of lubrication approximation is used to investigate the…

Fluid Dynamics · Physics 2017-08-01 Debanik Bhattacharjee , Hadi Nazaripoor , Mohtada Sadrzadeh

Cell size control is crucial for maintaining cellular function and homeostasis. In this study, we develop a first-order partial differential equation model to examine the effects of three key size control mechanisms: the sizer, timer, and…

Cell Behavior · Quantitative Biology 2025-05-27 Shuqi Fan , Jinzhi Lei

Cells actively regulate their size during the cell cycle to maintain volume homeostasis across generations. While various mathematical models of cell size regulation have been proposed to explain how this is achieved, relating these models…

Quantitative Methods · Quantitative Biology 2025-04-11 Kaan Öcal , Michael P. H. Stumpf

Microfluidics, the study of fluids in microscopic channels, has led to important advances in fields as diverse as microelectronics, biotechnology and chemistry. Microfluidic research is primarily based on the use of microfluidic chips,…

Systems and Control · Electrical Eng. & Systems 2024-07-15 Jorge Vicente Martinez , Edgar Ramirez-Laboreo , Pablo Calderon Gil

We explore numerically the feasibility of using chemical patterning to control the size and polydispersity of micron-scale drops. The simulations suggest that it is possible to sort drops by size or wetting properties by using an array of…

Soft Condensed Matter · Physics 2008-05-27 H. Kusumaatmaja , J. M. Yeomans

Reaction-diffusion systems offer a powerful framework for understanding self-organized patterns in biological systems, yet controlling these patterns remains a significant challenge. As a consequence, we present a rigorous framework of…

Optimization and Control · Mathematics 2026-04-13 Mohamed Amine Ouchdiri , Hamza Faquir , Saad Benjelloun , Mohamed Adlene Maghenem , Irene Otero-Muras , Adnane Saoud

We study an autocatalytic system consisting of several interacting chemical species. We observe a strong dependence of the concentrations of the chemicals on the size of the system. This dependence is caused by the discrete nature of the…

Biological Physics · Physics 2007-05-23 Yuichi Togashi , Kunihiko Kaneko