With the development of modern science and technology and the application and popularization of electronic computers, the application of mathematical methods in medicine is increasingly extensive and in-depth. The medical discipline has gradually developed from the traditional qualitative description stage to a new stage combining qualitative and quantitative analysis. Mathematical methods provide a powerful tool for the in-depth development of medical scientific research. ?

Advanced mathematics is an important basic course offered in medical colleges. The following are just a few examples of solving some practical problems in medicine with the basic knowledge of advanced mathematics, aiming at enlightening students how to correctly understand, consolidate and deepen what they have learned and strengthen their consciousness of applying mathematics to solve practical problems.

In the case of 1, there is a blood vessel with a radius of R and a length of L, the left end is the contralateral arterial end, and the blood pressure is 1P ... The right end is the contralateral venous end, and the blood pressure is 2p (12pp >): Take the cross section of the blood vessel and find the blood flow q passing through the cross section of the blood vessel per unit time.

Using the infinitesimal method, a small circle with an inner diameter of R and an outer diameter of rdr+ (the center of the circle is in the center of the blood vessel) is selected as the infinitesimal element to study the problem, and its area is about 2πrdr. Assuming that the blood flow in the blood vessel is stable, the velocity v of blood in the blood vessel at each point is a function of the distance r from each point to the center of the blood vessel, and the blood flow is equal to the velocity multiplied by the area.

In this way, the approximate value of blood flow dQ through the torus per unit time can be obtained, and then the blood flow q of the cross section can be obtained.