The paper establishes that fully equilibrating PES cascades reduce to static fourth-order elliptic interactions with mass-critical dimension shifted to N=4 and candidate critical mass 64π²τ/χ, while MEP cascades retain Volterra memory effects.
Finite-time blowup in a fully parabolic chemotaxis model involving indirect signal production.arXiv preprint arXiv:2503.12439, 2025
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Structural dichotomy and mass criticality in indirect chemotaxis cascades: fourth-order ellipticity versus Volterra memory
The paper establishes that fully equilibrating PES cascades reduce to static fourth-order elliptic interactions with mass-critical dimension shifted to N=4 and candidate critical mass 64π²τ/χ, while MEP cascades retain Volterra memory effects.