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The life cycle of the cellular slime mold Dictyostelium discoideum represents a fascinating example of self organisation, and the molecular mechanisms underlying its development has presented a challenge for many years. In this talk, we introduced a hyperbolic system to address the role of the so-called double -negative feedback mechanism on the spatial patterning and cell-type proportioning in Dictyostelium discoideum slug migration. The model involves the dynamics
of excitable cAMP signalling, differences in chemotactic and signalling behaviour between different cell populations and generation of local signals. We analyse how stable is this proportion mechanism under different sorting conditions. |
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