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An exact analytical solution to the non-stationary coagulation equation describing the endosomal network dynamics
  • Eugenya Makoveeva
Eugenya Makoveeva
Ural Federal University named after the first President of Russia B N Yeltsin

Corresponding Author:[email protected]

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Motivated by important applications in materials science and biology, we consider a non-stationary coagulation equation with in-flux and out-flux 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 in-flux and out-flux processes of cargo.
25 Jul 2022Submitted to Mathematical Methods in the Applied Sciences
25 Aug 2022Submission Checks Completed
25 Aug 2022Assigned to Editor
11 Sep 2022Reviewer(s) Assigned
30 Sep 2022Review(s) Completed, Editorial Evaluation Pending
03 Oct 2022Editorial Decision: Revise Minor
05 Oct 20221st Revision Received
06 Oct 2022Submission Checks Completed
06 Oct 2022Assigned to Editor
17 Oct 2022Reviewer(s) Assigned
21 Oct 2022Review(s) Completed, Editorial Evaluation Pending
21 Oct 2022Editorial Decision: Accept