Dedicated bifurcation analysis: basic principles

Basic principles of ROC analysis.

The limitations of diagnostic "accuracy" as a measure of decision performance require introduction of the concepts of the "sensitivity" and "specificity" of a diagnostic test. These measures and the related indices, "true positive fraction" and "false positive fraction," are more meaningful than "accuracy," yet do not provide a unique description of diagnostic performance because they depend on...

Instrumental Chemical Analysis: Basic Principles and Techniques

Basic Principles of Particle Size Analysis

Imagine that I give you a matchbox and a ruler and ask you to tell me the size of it. You may reply saying that the matchbox is 20 x 10 x 5mm. You cannot correctly say "the matchbox is 20mm" as this is only one aspect of its size. So it is not possible for you to describe the 3-dimensional matchbox with one unique number. Obviously the situation is more difficult for a complex shape like a grai...

Basic Principles of EEG and MEG Analysis

2 From Brain-Space to Scalp-Space and back 2 2.1 From a Single Dipole in the Brain to a Scalp Field . . . . . . . . . . . . . . . 2 2.2 More than one Dipole . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 2.3 Understanding Difference Maps . . . . . . . . . . . . . . . . . . . . . . . . . . 4 2.4 The Inverse Problem, and some Source Localization for Pedestrians . . . . . . 5 2.5 ...

Multiparametric Bifurcation Analysis of a Basic Two-Stage Population Model

Abstract. In this paper we investigate long-term dynamics of the most basic model for stagestructured populations, in which the per capita transition from the juvenile into the adult class is density dependent. The model is represented by an autonomous system of two nonlinear differential equations with four parameters for a single population. We find that the interaction of intra-adult competi...