Proliferating active matter

Hallatschek, Oskar; Datta, Sujit S.; Drescher, Knut; Dunkel, Jörn; Elgeti, Jens; Waclaw, Bartłomiej; Wingreen, Ned S.

doi:10.1038/s42254-023-00593-0

Cited by 16 publications

(4 citation statements)

References 201 publications

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“…We then conclude that the mean trapping time (28) diverges, as a consequence of the infinite extension of the free zone, resulting in a slower trapping of particles. It is worth noting that, in the limit of semi-infinite trapping region (b → ∞ ) the prefactor A in (73) vanishes (see (74) for L → ∞ ) and equation (72) reduces to (52). The mean trapping time is then finite and it is given by the term B in (75) for L → ∞ , that coincides with the expression (53).…”

Section: ˜( )supporting

confidence: 54%

“…A final remark concerns the modeling of the entire biofilm formation process. It could be of great importance to implement the described run-and-tumble models in more realistic contexts (also using numerical simulations), considering both irreversible adhesion and cellular replication [52].…”

Section: Discussionmentioning

confidence: 99%

“…Trapping time distributions j(t) for the cases of infinite, semi-infinite and finite extension of trapping regions. The curve for the infinite case is the exponential(27), while the curves for the semi-infinite and finite cases are calculated numerically inverting the Laplace transform expressions(52) and (72). The distributions of semi-infinite and finite cases are different from zero only for times longer that the minimum time t a = a/v required for the particle to reach the border x = a of the trapping zone, while the small discontinuous drop present in the finite case corresponds to the first exit at t b = b/v from the outer border x = b of the trapping domain.…”

mentioning

confidence: 99%

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Run-and-tumble motion in trapping environments

Angelani

2023

Phys. Scr.

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Complex or hostile environments can sometimes inhibit the movement capabilities of diffusive particles or active swimmers, who may thus become stuck in fixed positions. This occurs, for example, in the adhesion of bacteria to surfaces at the initial stage of biofilm formation. Here we analyze the dynamics of active particles in the presence of trapping regions, where irreversible particle immobilization occurs at a fixed rate. By solving the kinetic equations for run-and-tumble motion in one space dimension, we give expressions for probability distribution functions, focusing on stationary distributions of blocked particles, and mean trapping times in terms of physical and geometrical parameters. Different extensions of the trapping region are considered, from infinite to cases of semi-infinite and finite intervals. The mean trapping time turns out to be simply the inverse of the trapping rate for infinitely extended trapping zones, while it has a nontrivial form in the semi-infinite case and is undefined for finite domains, due to the appearance of long tails in the trapping time distribution. Finally, to account for the subdiffusive behavior observed in the adhesion processes of bacteria to surfaces, we extend the model to include anomalous diffusive motion in the trapping region, reporting the exact expression of the mean-square displacement.

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Section: ˜( )supporting

confidence: 54%

Section: Discussionmentioning

confidence: 99%

mentioning

confidence: 99%

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Run-and-tumble motion in trapping environments

Angelani

2023

Phys. Scr.

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“…Theoretical approaches have been crucial to uncover these common mechanisms. Conversely, mechanochemical pattern formation has spurred the development of new theories, leading to new insights into the physics of complex systems (Prost et al, 2015;Bowick et al, 2022;National Academies of Sciences, Engineering, and Medicine, 2022;Hallatschek et al, 2023).…”

Section: Discussionmentioning

confidence: 99%

Forceful patterning: theoretical principles of mechanochemical pattern formation

Rombouts,

Elliott,

Erzberger

2023

EMBO Reports

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Biological pattern formation is essential for generating and maintaining spatial structures from the scale of a single cell to tissues and even collections of organisms. Besides biochemical interactions, there is an important role for mechanical and geometrical features in the generation of patterns. We review the theoretical principles underlying different types of mechanochemical pattern formation across spatial scales and levels of biological organization.

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Facile Physicochemical Reprogramming of PEG‐Dithiolane Microgels

Nelson,

Kirkpatrick,

Skillin

et al. 2023

Adv Healthcare Materials

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Granular biomaterials have found widespread applications in tissue engineering, in part because of their inherent porosity, tunable properties, injectability, and 3D printability. However, the assembly of granular hydrogels typically relies on spherical microparticles and more complex particle geometries have been limited in scope, often requiring templating of individual microgels by microfluidics or in‐mold polymerization. Here, we use dithiolane‐functionalized synthetic macromolecules to fabricate photopolymerized microgels via batch emulsion, and then harness the dynamic disulfide crosslinks to rearrange the network. Through unconfined compression between parallel plates in the presence of photoinitiated radicals, we transform the isotropic microgels are transformed into disks. Characterizing this process, we find that the areas of the microgel surface in contact with the compressive plates are flattened while the curvature of the uncompressed microgel boundaries increases. When cultured with C2C12 myoblasts, cells localize to regions of higher curvature on the disk‐shaped microgel surfaces. This altered localization affects cell‐driven construction of large supraparticle scaffold assemblies, with spherical particles assembling without specific junction structure while disk microgels assemble preferentially on their curved surfaces. These results represent a unique spatiotemporal process for rapid reprocessing of microgels into anisotropic shapes, providing new opportunities to study shape‐driven mechanobiological cues during and after granular hydrogel assembly.

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Proliferating active matter

Cited by 16 publications

References 201 publications

Run-and-tumble motion in trapping environments

Run-and-tumble motion in trapping environments

Forceful patterning: theoretical principles of mechanochemical pattern formation

Facile Physicochemical Reprogramming of PEG‐Dithiolane Microgels

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