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Related papers: Optimal homogenization of perfusion flows in micro…

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Immersed nonlinear elements are prevalent in biological systems that require a preferential flow direction, such as the venous and the lymphatic system. We investigate here a certain class of models where the fluid is driven by peristaltic…

Fluid Dynamics · Physics 2024-11-20 Aaron Winn , Eleni Katifori

In Nature, liquids often circulate in channels textured with leaflets, cilia or porous walls that deform with the flow. These soft structures are optimized to passively control flows and inspire the design of novel microfluidic and soft…

Soft Condensed Matter · Physics 2020-08-19 Martin Brandenbourger , Adrien Dangremont , Rudolf Sprik , Corentin Coulais

We present a new methodology for efficient and high-quality patterning of biological reagents for surface-based biological assays. The method relies on hydrodynamically confined nanoliter volumes of reagents to interact with the substrate…

Biomolecules · Quantitative Biology 2016-04-27 J. Autebert , J. F. Cors , David P. Taylor , G. V. Kaigala

In the past, laser propagation in a fluid with heat transfer has been modeled using simplistic conduction and convection conditions yielding inaccurate predictions. Here we present a detailed numerical study describing the thermal profile…

A transducer of single photons between microwave and optical frequencies can be used to realize quantum communication over optical fiber links between distant superconducting quantum computers. A promising scalable approach to constructing…

Quantum Physics · Physics 2021-06-24 Sattwik Deb Mishra , Rahul Trivedi , Amir H. Safavi-Naeini , Jelena Vučković

Homogenization method is used to analyse the equivalent behavior of transient flow of a passive solute through highly heterogeneous porous media. The flow is governed by a coupled system which includes an elliptic equation and a linear…

Mathematical Physics · Physics 2007-05-23 Brahim Amaziane , Alain Bourgeat , Mladen Jurak

Microfluidic biochips are replacing the conventional biochemical analysers integrating the necessary functions on-chip. We are interested in Flow-Based Microfluidic Biochips (FBMB), where a continuous flow of liquid is manipulated using…

Emerging Technologies · Computer Science 2025-05-07 Alexander Schneider , Jan Madsen , Paul Pop

Porous flow-through electrodes are used as the core reactive component across electrochemical technologies. Controlling the fluid flow, species transport, and reactive environment is critical to attaining high performance. However,…

Three isoperimetric results are treated. (i) At a given pressure gradient, for all channels with given (cross-sectional) area that which maximises the steady flow $Q_{\rm steady}$ has a circular cross-section. (ii) Consider flows starting…

Analysis of PDEs · Mathematics 2016-10-31 Grant Keady , Benchawan Wiwatanapataphee

In this work the robustness of a feedback optimization scheme is discussed. Previously known results in literature, on the convergence to local optima of the optimization problem of interest, are extended to the case where the sensitivities…

Optimization and Control · Mathematics 2021-04-01 Mirko Pasquini , Kévin Colin , Véronique Chotteau , Håkan Hjalmarsson

The paper presents a new type of weakly nonlinear two-scale model of controllable periodic porous piezoelectric structures saturated by Newtonian fluids. The flow is propelled by peristaltic deformation of microchannels which is induced due…

Analysis of PDEs · Mathematics 2024-07-18 Eduard Rohan , Vladimír Lukeš

The paper develops methods to construct a one-stage optimal design of dilution experiments under the total available volume constraint typical for bio-medical applications. We consider various design criteria based on the Fisher information…

Statistics Theory · Mathematics 2013-05-08 Maryam Zolghadr , Sergei Zuyev

The simulation of the metabolism in mammalian cells becomes a severe problem if spatial distributions must be taken into account. Especially the cytoplasm has a very complex geometric structure which cannot be handled by standard…

Numerical Analysis · Mathematics 2010-03-01 Michael Hanke , Marry-Chriz Cabauatan-Villanueva

We study the asymptotic behaviour of a system of nonlinear reaction--diffusion--advection equations in a domain consisting of two bulk regions connected via microscopic channels distributed within a thin membrane. Both the width of the…

Analysis of PDEs · Mathematics 2025-12-15 Lucas M. Fix , Gianna Götzmann , Malte A. Peter , Jan-F. Pietschmann

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

Improvement of thermoelectric systems in terms of performance and range of applications relies on progress in materials science and optimization of device operation. In this chapter, we focuse on optimization by taking into account the…

Classical Physics · Physics 2013-09-02 H. Ouerdane , C. Goupil , Y. Apertet , A. Michot , A. Abbout

The fluid flow across an unbounded horizontal plate embedded with uniform mass diffusion is studied in this article together with the impacts of the chemical reaction and parabolic motion, while the temperature and concentration of the…

Dynamical Systems · Mathematics 2024-10-08 P. Sivakumar , R. M. Madhusudhan , R. Muthucumaraswamy , A. Ramamoorthy

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

A framework for topology optimization of cooling channels is proposed, which paves the way towards automated design of additively-manufactured cooling channels, required in applications such as the efficient heat management of die casting…

Fluid Dynamics · Physics 2023-08-22 Farshad Navah , Marc-Etienne Lamarche-Gagnon , Florin Ilinca

Developing an organoid computing platform from neurons in vitro demands stable, precisely controlled microenvironments. To address this requirement, we designed, simulated, and fabricated a microfluidic device featuring hexagonal wells…

Fluid Dynamics · Physics 2025-08-04 Maxx Yung