In a four-dimensional chemotaxis model with indirect signal production, radially symmetric solutions blow up in finite time exactly when the initial cell mass exceeds 64π².
Strauss,Semi-linear second-order elliptic equations in L1, J
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Critical mass for finite-time chemotactic collapse in the critical dimension via comparison
In a four-dimensional chemotaxis model with indirect signal production, radially symmetric solutions blow up in finite time exactly when the initial cell mass exceeds 64π².