Model human heart or brain signals

Abstract

A new model is suggested and used to mimic various spatial or temporal designs in biological or non biological formations where the focus is on the normal or irregular electrical signals coming from human heart (ECG) or brain (EEG). The electrical activities in several muscles (EMG) or neurons or other organs of human or various animals, such as lobster pyloric neuron, guinea pig inferior olivary neuron, sepia giant axon and mouse neocortical pyramidal neuron and some spatial formations are also considered (in Appendix). In the biological applications, several elements (cells or tissues) in an organ are taken as various entries in a representative lattice (mesh) where the entries are connected to each other in terms of some molecular diffusions or electrical potential differences. The biological elements evolve in time (with the given tissue or organ) in terms of the mentioned connections (interactions) besides some individual feedings. The anatomical diversity of the species (or organs) is handled in terms of various combinations of the assumptions and parameters for the initial conditions, the connections and the feeding terms and so on. A small number of (iterative) secular equations (coupled map) are solved for the results with few parameters for each case. The same equations may be used for simulation if random parameters are involved. The model, with simple mathematics and easy software, may be followed besides or instead of the known theoretical approaches. The basic aim of the present contribution is to mimic various empirical data for some electrical activities of human heart or brain (or various animals). The mentioned empirical data are available in various experimental literatures (which are cited or the open access data are borrowed) and the model results may be considered as in good agreement with them.