For instance, for the linear system with precursor-product relationships, the optimization is performed with the degradation term of the precursor metabolite forced to be equal to the production terms of the product.
For instance, for a linear interpolation scheme this would imply d q = (1 - q) d A + qd B, where d A and d B respectively represent the experimental data of phenotype A and B, and q a coordinate ranging from zero (completely phenotype A) to one (completely phenotype B).
Tuning parameters include the kernel function (for instance linear and radial), the cost (for both linear and radial kernels) and the parameter controlling the width of the radial kernel.
This is important in a prebiotic context since, for instance, linear fatty acids are essential for the formation of the bilayer membranes that are present in cell walls (Ferris, 1992).
For instance, linear regression is the principle tool for identifying genes with strong (linear) age-dependent expression trends in two recent large meta-analysis of ageing microarray studies [ 5, 7].
For instance, the stability analysis for linear time-dependent problems can be found in [22, 23].
Surfactants with known biodegradation behavior can be found in the EU Detergent Ingredient Database [3], for instance linear fatty alcohol ethoxylates, e.g. DID # 28 or linear alkyl polyglycosides, e.g. DID # 49.
However, it may happen that the logics are found in peculiar ways; for instance, linear logic and other substructural logics have no usual consequence relations because derivations are exclusively displayed by using multisets or sequences of formulas.
For instance, linear and sigmoid rules identify the same set of nodes that are most efficient in selective control.
