Title :
X-chromosome linked recessive diseases model
Author :
Vecchio, Carmen Del ; Bencivenni, Dimer ; Mangoni, Emanuele Durante
Author_Institution :
Dipt. di Ing., Univ. del Sannio, Benevento, Italy
fDate :
Aug. 31 2010-Sept. 4 2010
Abstract :
We adopt the second Liapunov method to derive stability property of the equilibrium point in a non linear, discrete time, positive system, modeling the inheritance pattern of X-chromosome linked recessive diseases in the human population. By constructing a Liapunov function we derive globally asymptotically stable properties of the non trivial equilibrium point.
Keywords :
Lyapunov methods; diseases; genetics; physiological models; X-chromosome; recessive diseases; second Liapunov method; Analytical models; Biological cells; Diseases; Genetics; Humans; Mathematical model; Stability analysis; Computer Simulation; Female; Genes, Recessive; Genetic Diseases, X-Linked; Genetic Predisposition to Disease; Genetics, Population; Humans; Incidence; Male; Models, Genetic; Proportional Hazards Models; Risk Assessment;
Conference_Titel :
Engineering in Medicine and Biology Society (EMBC), 2010 Annual International Conference of the IEEE
Conference_Location :
Buenos Aires
Print_ISBN :
978-1-4244-4123-5
DOI :
10.1109/IEMBS.2010.5626475
