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This paper is concerned with the kinetic model of Othmer-Dunbar-Alt forbacterial motion. Following a previous work, we apply the dispersion andStrichartz estimates to prove global existence under several borderline growthassumptions on the turning kernel. In particular we study the kinetic modelwith internal variables taking into account the complex molecular networkinside the cell.

Global existence for the kinetic chemotaxis model without pointwise memory effects, and including internal variables