To describe the epidemiology of X-linked recessive diseases we developed a discrete time, structured, non linear mathematical model. The model allows for de novo mutations (i.e. affected sibling born to unaffected parents) and selection (i.e., distinct fitness rates depending on individual’s health conditions). Applying Lyapunov direct method we found the domain of attraction of model’s equilibrium point and studied the convergence properties of the degenerate equilibrium where only affected individuals survive.
Selection and mutation in X-linked recessive diseases epidemiological model / Verrilli, F.; Kebriaei, H.; Glielmo, L; Corless, M.; Del Vecchio, C.. - (2015). (Intervento presentato al convegno 37th Annual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBS) tenutosi a Milan (Italy) nel 25/08/2015 - 29/08/2015) [10.1109/EMBC.2015.7319269].
Selection and mutation in X-linked recessive diseases epidemiological model
Glielmo L;C. Del Vecchio
2015
Abstract
To describe the epidemiology of X-linked recessive diseases we developed a discrete time, structured, non linear mathematical model. The model allows for de novo mutations (i.e. affected sibling born to unaffected parents) and selection (i.e., distinct fitness rates depending on individual’s health conditions). Applying Lyapunov direct method we found the domain of attraction of model’s equilibrium point and studied the convergence properties of the degenerate equilibrium where only affected individuals survive.| File | Dimensione | Formato | |
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