Conservation Law of Cell Bioelectricity Membrane Area and Ion Inequality Equation Based on Potassium Channel “Origami Windmill” Model

At present, there are misunderstandings and even subversive errors in the understanding of cellular bioelectricity phenomena. The theory explaining the mechanism of bioelectricity generation is the ionic theory, and the ionic theory is based on the membrane theory. The membrane theory may be the correct part, and the ionic theory does not give a definite affirmation; the membrane theory may be the wrong part, and ionic theory does not give a clear negative, instead, has been further strengthened in the later period. Whether it is membrane theory or ionic theory, the author has ignored the structure and characteristics of ion channels, and has not found the essence and law of ion exchange inside and outside the cell membrane. Therefore, the GHK equation and the H-H equation based on the ionic theory have congenital deficiencies. Therefore, it is necessary to put forward a new doctrine on this basis and establish a new mathematical model based on the new doctrine to re-explain the mechanism of bioelectricity generation scientifically and rationally.This paper is based on the principle of K⁺ channel “origami windmill” model, the conservation law of membrane area of cell action potential ion exchange was proposed, and establishes a new mathematical model of cell action potential based on the conservation law of membrane area—ion inequality equation. The expression of conservation law of membrane area: S_A(t) + S_B(t) = S₀, the expression of the ion inequality equation: resting potential N = N₀ + Vt; action potential N = N₀+ 170t-90t².The conservation law of membrane area holds that bioelectrical activity is a process in which different cations replace each other on the inner surface of the cell membrane. Cl^- is already surrounded by the cell membrane at the beginning of cell membrane formation, which determines the “positive” and “negative” of the cell action potential; The cations such as Na⁺, K⁺, etc., the amount of mutual replacement on the inner surface of the cell membrane determines the amplitude of the action potential, and the ratio of mutual replacement complies with the principle that the membrane area is equal and the ions are not equal.The ion inequality equation, cited the kinematics principle, can not only reflect the nature and rule of cation exchange on the inner surface of cell membrane,but also can reasonably avoid cell membrane expansion force and ionic driving force, completes the bioelectricity generation mechanism from the qualitative to the quantitative expression,supports the preexistence of membrane theory, to verify the theory of brain cell activation, the theory of dove-likeparticles and “origami windmill” model, has opened up a scientific and quantitative description cell action potential new ways and means.