Modelling silicosis: dynamics of a model with piecewise constant rate coefficients
Pedro R.S. Antunes, Fernando P. da Costa, Jo\~ao T. Pinto, Rafael, Sasportes
TL;DR
This paper analyzes the equilibrium dynamics of an infinite-dimensional coagulation-fragmentation-death model for silicosis, focusing on cases where rate coefficients are piecewise constant, extending previous work on the disease mechanism.
Contribution
It introduces a detailed analysis of the model with piecewise constant rate coefficients, providing new insights into the equilibrium structure of the silicosis dynamics.
Findings
Characterization of equilibrium states with piecewise constant rates
Identification of stability conditions for equilibria
Extension of previous models to more realistic rate structures
Abstract
We study the dynamics about equilibria of an infinite dimension coagulation-fragmentation-death model for the silicosis disease mechanism introduced recently by da Costa, Drmota, and Grinfeld [Modelling silicosis: structure of equilibria, Euro. J. Appl. Math., 31 (6), (2020) 950-967] in the case where the rate coefficients are piecewise constant.
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Taxonomy
TopicsArsenic contamination and mitigation · Occupational and environmental lung diseases · Amyloidosis: Diagnosis, Treatment, Outcomes