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Search and Capture Efficiency of Dynamic Microtubules for Centrosome Relocation during IS Formation
Apurba Sarkar1, Heiko Rieger2, Raja Paul1
1School of Mathematical & Computational Sciences, Indian Association for the Cultivation of Science, Kolkata, West Bengal, India.
Insights
Cytotoxic T cells form an immunological synapse (IS) requiring dynamic microtubules to connect. This study models how microtubules efficiently search cellular space to find the IS, optimizing this crucial immune response.
Area of Science:
- Cellular Biology
- Immunology
- Biophysics
Background:
- Cytotoxic T lymphocytes (T cells) form an immunological synapse (IS) upon encountering antigen-presenting cells.
- IS formation requires microtubule organizing center (MTOC) repositioning via dynamic microtubules (MTs) to the contact zone.
- The efficiency and mechanism by which MTs locate the IS within the cell remain unclear.
Purpose of the Study:
- To investigate how dynamic microtubules (MTs) search the constrained cellular volume to find the immunological synapse (IS).
- To model the binding of MTs to dynein anchored at the IS cortex.
- To determine an optimal search strategy for MTs to efficiently reach the IS.
Main Methods:
- Development of simple mathematical and numerical models of cellular components involved in IS formation.
- Estimation of search efficiency by calculating the time for MTs to reach the dynein-enriched IS region.
- Quantification of average search time across a range of model parameters.
Main Results:
- Minimal MT search times occur when the IS forms at sites nearest or farthest from the perinuclear MTOC.
- Search time increases with distance from these optimal sites, peaking near the cell's equator.
- Search time is significantly influenced by the number of searching MTs and the MTOC's distance from the nucleus.
Conclusions:
- The spatial positioning of the IS relative to the MTOC critically affects microtubule search efficiency.
- An optimized search strategy exists, favoring extreme positions for rapid MT capture at the IS.
- Understanding MT dynamics in IS formation provides insights into T cell activation and immune response efficacy.
Abstract:
Upon contact with antigen-presenting cells, cytotoxic T lymphocytes (T cells) establish a highly organized contact zone denoted as the immunological synapse (IS). The formation of the IS implies relocation of the microtubule organizing center (MTOC) toward the contact zone, which necessitates a proper connection between the MTOC and the IS via dynamic microtubules (MTs). The efficiency of the MTs finding the IS within the relevant timescale is, however, still illusive. We investigate how MTs search the three-dimensional constrained cellular volume for the IS and bind upon encounter to dynein anchored at the IS cortex. The search efficiency is estimated by calculating the time required for the MTs to reach the dynein-enriched region of the IS. In this study, we develop simple mathematical and numerical models incorporating relevant components of a cell and propose an optimal search strategy. Using the mathematical model, we have quantified the average search time for a wide range of model parameters and proposed an optimized set of values leading to the minimal capture time. Our results show that search times are minimal when the IS formed at the nearest or at the farthest sites on the cell surface with respect to the perinuclear MTOC. The search time increases monotonically away from these two specific sites and is maximal at an intermediate position near the equator of the cell. We observed that search time strongly depends on the number of searching MTs and distance of the MTOC from the nuclear surface.
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