Evolutionary dimension reduction in phenotypic space
Takuya U. Sato, Kunihiko Kaneko
Abstract
The present paper gives a theoretical formulation of evolutionary dimension reduction in biological states, in terms of the separation of singular values in the relaxation dynamics. The changes in the dimensional phenotypic space upon various environmental and genetic changes are shown to be restricted in one-dimensional space, as is consistent with recent experimental observations.
Topics & Concepts
Dimension (graph theory)MathematicsSpace (punctuation)Dimensionality reductionReduction (mathematics)Biological systemIntrinsic dimensionSelection (genetic algorithm)Statistical physicsTwo-dimensional spaceBiological evolutionApplied mathematicsEvolutionary biologyMathematical optimizationComputer scienceFeature (linguistics)Variation (astronomy)Relaxation (psychology)BiologyPhenotypeGene Regulatory Network AnalysisEvolution and Genetic DynamicsEvolutionary Game Theory and Cooperation