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Active deformation enhances target scanning in crowded two-dimensional self-propelled particle simulations

Lucas E. Wiebke

Daniel R. Parisi*

  • *Contact author: dparisi@itba.edu.ar

Phys. Rev. E 114, 015402 – Published 6 July, 2026

DOI: https://doi.org/10.1103/9v47-17q7

Abstract

Self-propelled particles (SPPs) model diverse transport phenomena, including T-cell motility within crowded lymph nodes. Efficient scanning of antigen-presenting cells (APCs) by T cells remains poorly understood under dense conditions. Here we simulate a two-dimensional system of radius-oscillating SPPs with random propulsion directions and short-range interactions to mimic T-cell scanning of a low-mobility APC. We find that scanning rate peaks at an optimal oscillation frequency and intermediate area fraction, with maximal efficiency in the processive limit of motion. This optimum arises from local inflow dynamics near the target and coincides with a percolation transition in the particle contact network. Active deformation enhances scanning efficiency compared to nonoscillating particles, especially at higher densities. These findings suggest that mechanical interactions and active shape changes facilitate effective target exploration in crowded environments, providing insights relevant to cellular transport and active matter systems.

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References (33)

  1. U. Chattaraj, A. Seyfried, and P. Chakroborty, Comparison of pedestrian fundamental diagram across cultures, Adv. Complex Syst. 12, 393 (2009).
  2. A. Seyfried, B. Steffen, W. Klingsch, and M. Boltes, The fundamental diagram of pedestrian movement revisited, J. Stat. Mech. (2005) P10002.
  3. G. Flötteröd and G. Lämmel, Bidirectional pedestrian fundamental diagram, Transp. Res. Part B 71, 194 (2015).
  4. L. D. Vanumu, K. Ramachandra Rao, and G. Tiwari, Fundamental diagrams of pedestrian flow characteristics: A review, Eur. Transport Res. Rev. 9, 49 (2017).
  5. D. R. Parisi, A. G. Sartorio, J. R. Colonnello, A. Garcimartín, L. A. Pugnaloni, and I. Zuriguel, Pedestrian dynamics at the running of the bulls evidence an inaccessible region in the fundamental diagram, Proc. Natl. Acad. Sci. USA 118, e2107827118 (2021).
  6. U. Weidmann, Transporttechnik der Fussgänger: Transporttechnische Eigenschaften des Fussgängerverkehrs (Literaturauswertung), Tech. Rep. Schriftenreihe des IVT Nr. 90 (Institut für Verkehrsplanung, Transporttechnik, Strassen- und Eisenbahnbau (IVT), ETH Zürich, Zürich, Switzerland, 1993).
  7. H. Greenberg, An analysis of traffic flow, Oper. Res. 7, 79 (1959).
  8. X. Qu, J. Zhang, and S. Wang, On the stochastic fundamental diagram for freeway traffic: Model development, analytical properties, validation, and extensive applications, Transp. Res. Part B 104, 256 (2017).
  9. D. C. Gazis, The origins of traffic theory, Oper. Res. 50, 69 (2002).
  10. M. J. Miller, S. H. Wei, I. Parker, and M. D. Cahalan, Two-photon imaging of lymphocyte motility and antigen response in intact lymph node, Science 296, 1869 (2002).
  11. P. Bousso, T-cell activation by dendritic cells in the lymph node: Lessons from the movies, Nat. Rev. Immunol. 8, 675 (2008).
  12. C. L. Willard-Mack, Normal structure, function, and histology of lymph nodes, Toxicol. Pathol. 34, 409 (2006).
  13. M. J. Miller, S. H. Wei, M. D. Cahalan, and I. Parker, Autonomous T cell trafficking examined in vivo with intravital two-photon microscopy, Proc. Natl. Acad. Sci. USA 100, 2604 (2003).
  14. C. Beauchemin, N. M. Dixit, and A. S. Perelson, Characterizing T cell movement within lymph nodes in the absence of antigen, J. Immunol. 178, 5505 (2007).
  15. M. E. Meyer-Hermann and P. K. Maini, Interpreting two-photon imaging data of lymphocyte motility, Phys. Rev. E 71, 061912 (2005).
  16. M. T. Figge, A. Garin, M. Gunzer, M. Kosco-Vilbois, K.-M. Toellner, and M. Meyer-Hermann, Deriving a germinal center lymphocyte migration model from two-photon data, J. Exp. Med. 205, 3019 (2008).
  17. I. M. Wortel, J. Postat, M. Mihaylova, M. Merino, A. Bhagrath, M. Harris, L. Wouters, L. Wiebke, D. R. Parisi, J. N. Mandl, and J. Textor, bioRxiv (2024).
  18. E. Tjhung and L. Berthier, Discontinuous fluidization transition in time-correlated assemblies of actively deforming particles, Phys. Rev. E 96, 050601(R) (2017).
  19. D. R. Parisi, L. E. Wiebke, J. N. Mandl, and J. Textor, Flow rate resonance of actively deforming particles, Sci. Rep. 13, 9455 (2023).
  20. L. E. Wiebke, J. Textor, and D. R. Parisi, Optimum flow rate of actively deformable particles in the overdamped regime, Phys. Scr. 99, 115026 (2024).
  21. T. Worbs and R. Förster, T cell migration dynamics within lymph nodes during steady state: An overview of extracellular and intracellular factors influencing the basal intranodal T cell motility, in Visualizing Immunity (Springer Berlin Heidelberg, 2009), pp. 71–105.
  22. M. C. Marchetti, J. F. Joanny, S. Ramaswamy, T. B. Liverpool, J. Prost, M. Rao, and R. A. Simha, Hydrodynamics of soft active matter, Rev. Mod. Phys. 85, 1143 (2013).
  23. B. Szabó, G. J. Szöllösi, B. Gönci, Z. Jurányi, D. Selmeczi, and T. Vicsek, Phase transition in the collective migration of tissue cells: Experiment and model, Phys. Rev. E 74, 061908 (2006).
  24. D. J. Koeze and B. P. Tighe, Sticky matters: Jamming and rigid cluster statistics with attractive particle interactions, Phys. Rev. Lett. 121, 188002 (2018).
  25. J. B. Beltman, A. F. Marée, J. N. Lynch, M. J. Miller, and R. J. de Boer, Lymph node topology dictates T cell migration behavior, J. Exp. Med. 204, 771 (2007).
  26. M. Bajénoff, J. Egen, L. Koo, J. Laugier, F. Brau, N. Glaichenhaus, and R. Germain, Stromal cell networks regulate lymphocyte entry, migration, and territoriality in lymph nodes, Immunity 25, 989 (2006).
  27. M. Bajénoff, N. Glaichenhaus, and R. N. Germain, Fibroblastic reticular cells guide T lymphocyte entry into and migration within the splenic T cell zone, J. Immunol. 181, 3947 (2008).
  28. E. P. Kaldjian, J. E. Gretz, A. O. Anderson, Y. Shi, and S. Shaw, Spatial and molecular organization of lymph node T cell cortex: A labyrinthine cavity bounded by an epitheliumlike monolayer of fibroblastic reticular cells anchored to basement membranelike extracellular matrix, Int. Immunol. 13, 1243 (2001).
  29. G. M. Fricke, K. A. Letendre, M. E. Moses, and J. L. Cannon, Persistence and adaptation in immunity: T cells balance the extent and thoroughness of search, PLoS Comput. Biol. 12, e1004818 (2016).
  30. L. Ambühl, M. Menendez, and M. C. González, Understanding congestion propagation by combining percolation theory with the macroscopic fundamental diagram, Commun. Phys. 6, 26 (2023).
  31. J. A. Laval, Traffic flow as a simple fluid: Toward a scaling theory of urban congestion, Transp. Res. Rec. 2678, 376 (2024).
  32. A. Morin, D. Lopes Cardozo, V. Chikkadi, and D. Bartolo, Diffusion, subdiffusion, and localization of active colloids in random post lattices, Phys. Rev. E 96, 042611 (2017).
  33. M. Zeitz, K. Wolff, and H. Stark, Active Brownian particles moving in a random Lorentz gas, Eur. Phys. J. E 40, 23 (2017).

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