ArticleNature2019
Braess's paradox and programmable behaviour in microfluidic networks.
Article in Nature, 2019. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 8 papers.
What it found
Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.
The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.
The trial behind it
Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.
Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.
Who cites it
8 citing papers in PubMed.
- A Review on Micromixers, Microdroplet Generators and Their Integration.Micromachines · 2026Review
- Exploiting Device Deformability for Fluid and Particle Manipulation.Small (Weinheim an der Bergstrasse, Germany) · 2026Review
- Fast, cost-effective and flexible DNA sequencing by roll-to-roll fluidics.Nature methods · 2025Article
- Fluid inertia controls mineral precipitation and clogging in pore to network-scale flows.Proceedings of the National Academy of Sciences of the United States of America · 2024Article
- The fluidic memristor as a collective phenomenon in elastohydrodynamic networks.Nature communications · 2024Article
- Metal-pad-enhanced resistive pulse sensor reveals complex-valued Braess paradox.Physical review. E · 2023Article
- Rapid Fabrication of Membrane-Integrated Thermoplastic Elastomer Microfluidic Devices.Micromachines · 2020Article
- Passive micropumping in microfluidics for point-of-care testing.Biomicrofluidics · 2020Review
Corrections and comments
PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.
Authors and funding
5 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
Microfluidic systems are now being designed with precision as miniaturized fluid manipulation devices that can execute increasingly complex tasks. However, their operation often requires numerous external control devices owing to the typically linear nature of microscale flows, which has hampered the development of integrated control mechanisms. Here we address this difficulty by designing microfluidic networks that exhibit a nonlinear relation between the applied pressure and the flow rate, which can be harnessed to switch the direction of internal flows solely by manipulating the input and/or output pressures. We show that these networks- implemented using rigid polymer channels carrying water-exhibit an experimentally supported fluid analogue of Braess's paradox, in which closing an intermediate channel results in a higher, rather than lower, total flow rate. The harnessed behaviour is scalable and can be used to implement flow routing with multiple switches. These findings have the potential to advance the development of built-in control mechanisms in microfluidic networks, thereby facilitating the creation of portable systems and enabling novel applications in areas ranging from wearable healthcare technologies to deployable space systems.
Identifiers
31645762What OpenQuestion holds
Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.