title: Effects of selection and mutation on epidemiology of X-linked genetic diseases.
abstract: The epidemiology of X-linked recessive diseases, a class of genetic disorders, is modeled with a discrete-time, structured, non linear mathematical system. The model accounts for both de novo mutations (i.e., affected sibling born to unaffected parents) and selection (i.e., distinct fitness rates depending on individual's health conditions). Assuming that the population is constant over generations and relying on Lyapunov theory 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. Examples of applications of the proposed model to two among the most common X-linked recessive diseases (namely the red and green color blindness and the Hemophilia A) are described.
authors.affiliation: Dipartimento di Ingegneria, Università degli Studi del Sannio, Benevento (Italy), Piazza Roma, 21, Benevento 82022, Italy. email: fverrilli@unisannio.it.
authors.forename: Francesca
authors.initials: F
authors.lastname: Verrilli
authors.forename: Hamed
authors.initials: H
authors.lastname: Kebriaei
authors.forename: Luigi
authors.initials: L
authors.lastname: Glielmo
authors.forename: Martin
authors.initials: M
authors.lastname: Corless
authors.forename: Carmen Del
authors.initials: CD
authors.lastname: Vecchio
mesh_terms: D003117:Color Vision Defects / Q000235:genetics; D040181:Genetic Diseases, X-Linked / Q000453:epidemiology* / Q000235:genetics; D006467:Hemophilia A / Q000235:genetics; D006801:Humans; D008954:Models, Biological; D009154:Mutation; D012641:Selection, Genetic