A Mathematical Model for Entrapment of Cells through Haptotaxis
Abstract
This work proposes a new model for adhesive haptotaxis in cell migration, extending the work of [CSdNT + 26]. Following the experiments on lymphocytes at the Laboratory of Adhesion & Inflammation (LAI) in [LSdNA + 20], that revealed a non standard behavior known as reverse adhesive haptotaxis, we adapted a single-cell migration model originally proposed by I. Aronson and F. Ziebert [ZSA12, ZA13, LZA14], which accounts for the dynamics of adhesion site density. However, even if the model proposed in [CSdNT + 26] was able to reproduce the reverse adhesive haptotaxis with some specific feedback mechanism, the previous work showed some limitation. In this work to reproduce the complexity of such a non classical, and non well understood behavior, we describe the adhesion mechanism by modelling more directly the ligand/integrin interaction, allowing us to be closer to the previously mentionned experimental framework. We not only observe reverse and classical adhesive haptotaxis as previously reported in [CSdNT + 26], but also a new complex behavior that we call "rebound" which can cause the entrapment of cells in the low adhesive zone.
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BibTeX
@misc{curci2026mathematical,
title = {{A Mathematical Model for Entrapment of Cells through Haptotaxis}},
author = {Lucas Curci and Valentine Seveau de Noray and Olivier Theodoly and Marie-Pierre Valignat and Florence Hubert and Julien Olivier},
howpublished = {HAL},
year = {2026},
month = sep,
url = {https://hal.science/hal-05770039v1},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - A Mathematical Model for Entrapment of Cells through Haptotaxis
AU - Lucas Curci
AU - Valentine Seveau de Noray
AU - Olivier Theodoly
AU - Marie-Pierre Valignat
AU - Florence Hubert
AU - Julien Olivier
PY - 2026
DA - 2026/09/29
PB - HAL
UR - https://hal.science/hal-05770039v1
AB - This work proposes a new model for adhesive haptotaxis in cell migration, extending the work of [CSdNT + 26]. Following the experiments on lymphocytes at the Laboratory of Adhesion & Inflammation (LAI) in [LSdNA + 20], that revealed a non standard behavior known as reverse adhesive haptotaxis, we adapted a single-cell migration model originally proposed by I. Aronson and F. Ziebert [ZSA12, ZA13, LZA14], which accounts for the dynamics of adhesion site density. However, even if the model proposed in [CSdNT + 26] was able to reproduce the reverse adhesive haptotaxis with some specific feedback mechanism, the previous work showed some limitation. In this work to reproduce the complexity of such a non classical, and non well understood behavior, we describe the adhesion mechanism by modelling more directly the ligand/integrin interaction, allowing us to be closer to the previously mentionned experimental framework. We not only observe reverse and classical adhesive haptotaxis as previously reported in [CSdNT + 26], but also a new complex behavior that we call "rebound" which can cause the entrapment of cells in the low adhesive zone.
ER -