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A funnel plot is a scatterplot of treatment effect against a measure of study precision. It is used primarily as a visual aid for detecting bias or systematic heterogeneity. A symmetric inverted funnel shape arises from a ‘well-behaved’ data set, in which publication bias is unlikely. An asymmetric funnel indicates a relationship between ...
The Gompertz curve or Gompertz function is a type of mathematical model for a time series, named after Benjamin Gompertz (1779–1865). It is a sigmoid function which describes growth as being slowest at the start and end of a given time period.
The standard logistic function is the logistic function with parameters =, =, =, which yields = + = + = / / + /.In practice, due to the nature of the exponential function, it is often sufficient to compute the standard logistic function for over a small range of real numbers, such as a range contained in [−6, +6], as it quickly converges very close to its saturation values of 0 and 1.
The diagram sketches how proteins fold into their native structures by minimizing their free energy. The folding funnel hypothesis is a specific version of the energy landscape theory of protein folding, which assumes that a protein's native state corresponds to its free energy minimum under the solution conditions usually encountered in cells.
Inverted logistic S-curve to model the relation between wheat yield and soil salinity. Many natural processes, such as those of complex system learning curves, exhibit a progression from small beginnings that accelerates and approaches a climax over time. When a specific mathematical model is lacking, a sigmoid function is often used. [6]
Originally developed for growth modelling, it allows for more flexible S-shaped curves. The function is sometimes named Richards's curve after F. J. Richards , who proposed the general form for the family of models in 1959.
The smallest asymmetric regular graphs have ten vertices; there exist 10-vertex asymmetric graphs that are 4-regular and 5-regular. [2] [3] One of the five smallest asymmetric cubic graphs [4] is the twelve-vertex Frucht graph discovered in 1939. [5] According to a strengthened version of Frucht's theorem, there are infinitely many asymmetric ...
Extensions of the model have been proposed for lattices of proteins by various authors. [5] [6] [7] Edelstein argued that the MWC model gave a better account of the data for hemoglobin than the sequential model [3] could do. [8] He and Changeux [9] applied the model to signal transduction. Changeux [10] has discussed the status of the model ...