Title :
Identification of Replicator-Mutator Models
Author :
Falugi, Paola ; Giarré, Laura
Author_Institution :
DSI, Firenze Univ.
Abstract :
The complexity of biology literally calls for quantitative tools in order to support and validate biologists intuition and traditional qualitative descriptions. In this paper, the replicator-mutator models for evolutionary dynamics are validated/invalidated in a worst-case deterministic setting. These models analyze the DNA and RNA evolution or describe the population dynamics of viruses and bacteria. We identify the fitness and the replication probability parameters of a genetic sequences, subject to a set of stringent constraints to have physical meaning and to guarantee positiveness. The conditional central estimate is determined in order to validate/invalidate the model. The effectiveness of the proposed procedure has been illustrated by means of simulation experiments while tests on real data are under concern
Keywords :
DNA; biology; evolution (biological); genetics; identification; probability; DNA evolution; RNA evolution; biological system; evolutionary dynamics; genetic sequence; identification model; replication probability parameter; replicator-mutator model; worst-case deterministic setting; Biological system modeling; DNA; Equations; Evolution (biology); Genetic mutations; Genomics; Microorganisms; RNA; Sequences; Viruses (medical); Biomedical Systems; Evolutionary Dynamics; Nonlinear systems; Positive systems; Uncertain Dynamical Systems;
Conference_Titel :
Control and Automation, 2006. MED '06. 14th Mediterranean Conference on
Conference_Location :
Ancona
Print_ISBN :
0-9786720-1-1
Electronic_ISBN :
0-9786720-0-3
DOI :
10.1109/MED.2006.328784
