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- Title
An exact analytical solution to the nonstationary coagulation equation describing the endosomal network dynamics.
- Authors
Makoveeva, Eugenya V.
- 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.
- Subjects
COAGULATION; INTEGRO-differential equations; MATERIALS science; EQUATIONS; ENDOSOMES
- Publication
Mathematical Methods in the Applied Sciences, 2024, Vol 47, Issue 8, p6746
- ISSN
0170-4214
- Publication type
Article
- DOI
10.1002/mma.8838