Abstract
Motivated by important applications in materials science and biology, we consider a nonstationary coagulation equation with influx and outflux of particles (cargo). An exact analytical solution to this integrodifferential equation is found in a parametric form. This solution behaves as a decaying exponent with respect to the particle volume (fluorescence intensity in the case of coagulation of endosomes). We demonstrate that our exact solution substantially depends on coagulation kernels (fusion and fission rates) as well as the influx and outflux processes of cargo.
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