On a method for solving biological high-dimensional problems

We consider the Cauchy problem for some systems of ordinary differential equations of high dimension that models multistage substance synthesis. These systems belong to Goodwin type systems. The dimension of these systems can be so large that solving the Cauchy problem may be impossible by a computer. This leads to the problem of high dimension in biology. We propose a method for constructing approximate solutions. This method is based on the use of established relationships between solutions to the systems of ordinary differential equations under consideration, delay equations and partial differential equations of parabolic type.