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Microorganisms such as algae and bacteria move in a viscous environment with extremely low Reynolds ($Re$), where the viscous drag dominates the inertial forces. They have adapted to this environment by developing specialized features such…

Robotics · Computer Science 2024-12-10 Nnamdi Chikere , Yasemin Ozkan-Aydin

Multi-flagellated bacteria utilize the hydrodynamic interaction between their filamentary tails, known as flagella, to swim and change their swimming direction in low Reynolds number flow. This interaction, referred to as bundling and…

Robotics · Computer Science 2023-07-04 Zhuonan Hao , Sangmin Lim , M. Khalid Jawed

If robots are to become ubiquitous, they will need to be able to adapt to complex and dynamic environments. Robots that can adapt their bodies while deployed might be flexible and robust enough to meet this challenge. Previous work on…

Robotics · Computer Science 2019-07-24 Tønnes F. Nygaard , Charles P. Martin , Jim Torresen , Kyrre Glette

Micro-organisms propel themselves in viscous environments by the periodic, nonreciprocal beating of slender appendages known as flagella. Active materials have been widely exploited to mimic this form of locomotion. However, the realization…

Soft Condensed Matter · Physics 2024-08-06 Ariel Surya Boiardi , Giovanni Noselli

The motion of biological micro-robots -- similar to that of swimming microorganisms such as bacteria or spermatozoa -- is governed by different physical rules than what we experience in our daily life. This is particularly due to the…

Applied Physics · Physics 2019-09-11 Mohsen Saadat , Mehdi Mirzakhanloo , Julie Shen , Masayoshi Tomizuka , Mohammad-Reza Alam

Bacteria can exploit mechanics to display remarkable plasticity in response to locally changing physical and chemical conditions. Compliant structures play a striking role in their taxis behavior, specifically for navigation inside complex…

The ability to modify morphology in response to environmental changes represents a highly advantageous feature in biological organisms, facilitating their adaptation to diverse environmental conditions. While some robots have the capability…

Robotics · Computer Science 2023-09-20 Saurav Kumar Dutta , Yasemin Ozkan-Aydin

In a fluid environment, flagellated microswimmers propel themselves by rotating their flagella. The morphology of these flagella significantly influences forward speed, swimming efficiency, and directional stability, which are critical for…

Fluid Dynamics · Physics 2025-06-25 Baopi Liu , Lu Chen , Wenjun Xu

Run-and-tumble (RT) motion is commonly observed in flagellated microswimmers, arising from synchronous and asynchronous flagellar beating. One such example is a biflagellated alga, called \textit{Chlamydomonas reinhardtii}. Its flagellar…

Soft Condensed Matter · Physics 2025-10-17 Somnath Paramanick , Umashankar Pardhi , Harsh Soni , Nitin Kumar

Traditional locomotion strategies become ineffective at low Reynolds numbers, where viscous forces predominate over inertial forces. To adapt, microorganisms have evolved specialized structures like cilia and flagella for efficient…

Robotics · Computer Science 2024-12-10 Nnamdi C. Chikere , Sofia Lozano Voticky , Quang D. Tran , Yasemin Ozkan-Aydin

Synthetic microswimmers show great promise in biomedical applications such as drug delivery and microsurgery. Their locomotion, however, is subject to stringent constraints due to the dominance of viscous over inertial forces at low…

Fluid Dynamics · Physics 2020-07-15 Alan Cheng Hou Tsang , Pun Wai Tong , Shreyes Nallan , On Shun Pak

Swimming by shape changes at low Reynolds number is widely used in biology and understanding how the efficiency of movement depends on the geometric pattern of shape changes is important to understand swimming of microorganisms and in…

Fluid Dynamics · Physics 2015-07-31 Qixuan Wang , Hans G. Othmer

Flagellated microswimmers are ubiquitous in natural habitats. Understanding the hydrodynamic behavior of these cells is of paramount interest, owing to their applications in bio-medical engineering and disease spreading. Since the last two…

Fluid Dynamics · Physics 2024-05-20 H. Gidituri , G. Kabacaoğlu , M. Ellero , F. Balboa Usabiaga

Microorganisms are rarely found in Nature swimming freely in an unbounded fluid. Instead, they typically encounter other organisms, hard walls, or deformable boundaries such as free interfaces or membranes. Hydrodynamic interactions between…

Fluid Dynamics · Physics 2013-10-21 Marcelo A. Dias , Thomas R. Powers

In this article, we consider a swimmer (i.e. a self-deformable body) immersed in a fluid, the flow of which is governed by the stationary Stokes equations. This model is relevant for studying the locomotion of microorganisms or micro robots…

Analysis of PDEs · Mathematics 2012-03-19 Jérôme Lohéac , Alexandre Munnier

A wide range of microorganisms, e.g. bacteria, propel themselves by rotation of soft helical tails, also known as flagella. Due to the small size of these organisms, viscous forces overwhelm inertial effects and the flow is at low Reynolds…

Robotics · Computer Science 2021-03-11 Yayun Du , Andrew Miller , Mohammad Khalid Jawed

Micron-size self-propelling particles are often proposed as synthetic models for biological microswimmers, yet they lack internally regulated adaptation, which is central to the autonomy of their biological counterparts. Conversely,…

Soft Condensed Matter · Physics 2021-09-01 L. Alvarez , M. A. Fernandez-Rodriguez , A. Alegria , S. Arrese-Igor , K. Zhao , M. Kröger , Lucio Isa

Various microorganisms and some mammalian cells are able to swim in viscous fluids by performing nonreciprocal body deformations, such as rotating attached flagella or by distorting their entire body. In order to perform chemotaxis, i.e. to…

Biological Physics · Physics 2021-05-06 Benedikt Hartl , Maximilian Hübl , Gerhard Kahl , Andreas Zöttl

Depending on multiple parameters, soft robots can exhibit different modes of locomotion that are difficult to model numerically. As a result, improving their performance is complex, especially in small-scale systems characterized by low…

Robotics · Computer Science 2025-05-30 Mikołaj Rogóż , Zofia Dziekan , Piotr Wasylczyk

Navigation in turbulent environments is a fundamental challenge for biological and artificial microswimmers. While most existing studies focus on adapting motility or steering, the role of active morphological changes in navigation remains…

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