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Nonlinearity is a peer-reviewed scientific journal published by IOP Publishing and the London Mathematical Society. The journal publishes papers on nonlinear mathematics, mathematical physics , experimental physics , theoretical physics and other areas in the sciences where nonlinear phenomena are of fundamental importance.
In mathematics and science, a nonlinear system (or a non-linear system) is a system in which the change of the output is not proportional to the change of the input. [1] [2] Nonlinear problems are of interest to engineers, biologists, [3] [4] [5] physicists, [6] [7] mathematicians, and many other scientists since most systems are inherently nonlinear in nature. [8]
Figure 1. Example of a biological network between genes and proteins that controls entry into S phase. However, with knowledge of network interactions and a set of parameters for the proteins and protein interactions (usually obtained through empirical research), it is often possible to construct a model of the network as a dynamical system.
The dynamical systems approach to neuroscience is a branch of mathematical biology that utilizes nonlinear dynamics to understand and model the nervous system and its functions. In a dynamical system, all possible states are expressed by a phase space . [ 1 ]
System identification is a method of identifying or measuring the mathematical model of a system from measurements of the system inputs and outputs. The applications of system identification include any system where the inputs and outputs can be measured and include industrial processes, control systems, economic data, biology and the life sciences, medicine, social systems and many more.
It was established in 2003 as Nonlinearity in Biology, Toxicology and Medicine, obtaining its current name in 2005. It is published by SAGE Publications on behalf of the International Dose-Response Society, of which it is the official journal. [2] Since its founding, the journal's editor-in-chief has been Edward Calabrese (University of ...
Relative nonlinearity requires that species differ in the curvature of their fitness response to some competitive factor, F, like resource density.The nonlinearity of a response to competition is the second derivative of the per-capita growth rate with respect to the competitive factor ′ ′ (), which is zero if the growth response is linear, positive if the response is accelerating (), and ...
For example: a racemic catalyst would be expected to convert a prochiral substrate into a racemic product (a linear effect), but this is not always the case and a chirally enriched product can be produced instead (a non-linear effect). [1] [2] This can be expressed mathematically, as shown in Equation 1. Stereoselection that is higher or lower ...