Abstract
Based on quantum biology and biological gauge field theory, we propose the biological lattice gauge theory as modeling of quantum neural networks. This method applies completely the same lattice theory in quantum field, but, whose two anomaly problems may just describe the double helical structure of DNA and violated chiral symmetry in biology. Further, we discuss the model of Neural Networks (NN) and the quantum neutral networks, which are related with biological loop quantum theory. Finally, we research some possible developments on described methods of networks by the extensive graph theory and their new mathematical forms.
Highlights
Biological systems are all very complex systems
Based on the extensive quantum theory we proposed the extensive quantum biology [7]
In this paper we propose the biological lattice gauge theory as modeling of the quantum neutral networks, and new described forms of networks are researched
Summary
Biological systems are all very complex systems Their descriptions apply usually some simplified methods of modeling from the well-known Hodgkin-Huxley model to modeling of spiking-bursting neural behavior using two-dimensional map [1], spontaneous emergence of modularity in a model of evolving individuals [2], collective signaling behavior in a networked oscillator model [3]. Based on the neural synergetics, we proposed Lorenz model of brain [4]. Based on the inseparability and correlativity of the biological systems, we proposed the nonlinear whole biology and four basic hypotheses [6]. Based on the extensive quantum theory we proposed the extensive quantum biology [7]. Assume that basic quantum elements of DNA are A-T and G-C, so DNA may apply the extensive quantum biology [8]. In this paper we propose the biological lattice gauge theory as modeling of the quantum neutral networks, and new described forms of networks are researched
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