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Note that the amplitude and the exact shape of the action potential can vary according to the exact experimental technique used for acquiring the signal. Biological neuron models , also known as spiking neuron models , [ 1 ] are mathematical descriptions of the conduction of electrical signals in neurons .
It was named after Richard FitzHugh (1922–2007) [2] who suggested the system in 1961 [3] and Jinichi Nagumo et al. who created the equivalent circuit the following year. [4]In the original papers of FitzHugh, this model was called Bonhoeffer–Van der Pol oscillator (named after Karl-Friedrich Bonhoeffer and Balthasar van der Pol) because it contains the Van der Pol oscillator as a special ...
A biological network is a method of representing systems as complex sets of binary interactions or relations between various biological entities. [1] In general, networks or graphs are used to capture relationships between entities or objects. [1]
In muscle cells, for example, an action potential is the first step in the chain of events leading to contraction. In beta cells of the pancreas , they provoke release of insulin . [ a ] Action potentials in neurons are also known as " nerve impulses " or " spikes ", and the temporal sequence of action potentials generated by a neuron is called ...
The Systems Biology Graphical Notation (SBGN) is a standard graphical representation intended to foster the efficient storage, exchange and reuse of information about signaling pathways, metabolic networks, and gene regulatory networks amongst communities of biochemists, biologists, and theoreticians.
The graph of the Dirac delta is usually thought of as following the whole x-axis and the positive y-axis. [5]: 174 The Dirac delta is used to model a tall narrow spike function (an impulse), and other similar abstractions such as a point charge, point mass or electron point.
The graph on the right shows the impulse response of two similar systems. The green curve is the response of the system with impulse response () =, while the blue represents the system () = (). Although one response is oscillatory, both return to the original value of 0 over time.
The impulse response of a system is the change in an evolving variable in response to a change in the value of a shock term k periods earlier, as a function of k. Since the AR model is a special case of the vector autoregressive model, the computation of the impulse response in vector autoregression#impulse response applies here.