From 65438 to 0939, British physiologists Hodgkin and Huxley put glass microelectrodes into squid nerve fibers to measure the internal and external potential difference and action potential of a single nerve fiber. /kloc-The second half of the 9th century to the first half of the 20th century is the golden age of the research achievements of neurophysiology. At this stage, neurophysiology has not only relied on the aura and reputation of electrophysiology; But more with the help of mature electrophysiological technology and instruments. The great success of electricity not only deeply stimulated the expectation and desire of neuroelectricity, but also strongly promoted the development of electrophysiological experimental research. Hodgkin, A.L. and A.F. Huxley explained the mechanism of nerve excitation conduction through the ionic migration of biofilm. The model they established belongs to the second-order partial differential equation, which is called Hodgkin-Huxley equation (H-H equation): representing nerve fiber membrane potential. Is it axial resistivity? Is the axon radius? Indicate that axial distance of nerve fibers. The left side of the equation represents the current component generated by the membrane capacitance; The first term on the right represents the current change rate of nerve fiber cross section; The other three terms on the right represent the current components produced by potassium and sodium plasma respectively. Hodgkin used squid nerve fibers as experimental materials, and the curve calculated according to H-H equation was in good agreement with the experimental results (see ion channel of biofilm). A more general type of equation than H-H equation is called reaction-diffusion equation. As a mathematical model, this kind of equation has a wide range of applications in biology and is closely related to physiology, ecology, population genetics, epidemiology and pharmacology in medicine. In 1960s, I Prigozhin put forward the famous dissipative structure theory, which explained the principle of life phenomenon and biological evolution from a new angle, and its mathematical basis was also related to the reaction-diffusion equation. From 65438 to 0973, Bliss et al. gave a short series of intense stimuli to a single synaptic afferent pathway in the hippocampus of sea rabbits, which excited postsynaptic cells and increased the amplitude of postsynaptic potential for several days or even weeks. This phenomenon is called long-term synaptic enhancement (LTP). Since then, LTP has received extensive attention from neuroscientists and is regarded as the basic neural basis of learning and memory. -It's not easy. See if it works. Satisfied, add more:-D.