Continuous models for cell migration in tissues and applications to cell sorting via differential chemotaxis

Cell migration is a key process in many biological contexts. Prior research has shown that chemotaxis influences tissue organization and morphogenesis. However, few models have addressed migration in tissues with multiple cell types. Established knowledge includes the role of chemotaxis in Dictyostelium and wound healing. That uncertainty drove the need for models of heterogeneous tissues. No prior work had resolved how chemotactic differences affect sorting in crowded or uncrowded tissues. This gap motivated the development of a PDE-based framework. The goal was to capture both tissue-level and subpopulation-level dynamics.

The study aimed to develop a continuous model for cell migration in heterogeneous tissues. The specific problem was how chemotactic differences influence sorting in tissues with two subpopulations. The motivation was to understand how differential chemotaxis affects tissue organization. The model needed to account for both crowded and uncrowded tissue conditions. The researchers propose that chemotaxis could drive new sorting behaviors. They wanted to test if chemotactic differences could generate novel patterns. The study also aimed to compare these findings with classical differential-adhesion models. The goal was to explore if chemotaxis could produce unique spatial dynamics.

The researchers used partial differential equations to model cell migration. They considered two chemotactic subpopulations within a tissue framework. The model included both extracellular substrate interactions and subpopulation rearrangements. For crowded tissues, the model simplified to a single-species system. In uncrowded tissues, the model captured full migration dynamics. The researchers simulated both tissue movement and internal sorting. They analyzed the model's ability to generate spatial patterns. The simulations tested the effects of differential chemotaxis on sorting outcomes.

The model demonstrated that differential chemotaxis can produce new sorting behaviors. In crowded tissues, the model reduced to a one-species system as expected. In uncrowded tissues, both tissue movement and subpopulation rearrangements occurred. The simulations showed traveling waves of spatially sorted subpopulations. These waves resembled Dictyostelium slugs in their dynamics. The model generated patterns not seen in classical differential-adhesion models. The researchers observed temporal dynamics unique to chemotactic interactions. The findings suggest that chemotaxis can drive novel tissue organization.

The authors suggest that differential chemotaxis can lead to novel sorting behaviors in tissues. They propose that chemotactic differences may generate traveling waves of sorted subpopulations. The model demonstrates that chemotaxis can produce patterns distinct from differential adhesion. The results imply that chemotaxis may play a broader role in tissue organization. The authors suggest that these findings could apply to developmental and pathological contexts. The model supports the idea that chemotactic gradients influence tissue dynamics. The researchers propose that this framework may help explain Dictyostelium slug formation. They suggest that future work could explore how these dynamics affect morphogenesis.