Systems of the form x ̇i = αi Π n j=1Xgij j - βi Π n j=1Xhij ji = 1,...,n occur in the analysis of biological networks. They also include as special cases the known growth laws and probability functions, famous differential equations like those of Bessel, Chebyshev, and Laguerre, and solutions to important physical problems. These systems have no known analytical solution. However, an important subclass comprising many of the special cases mentioned above is solved.
ASJC Scopus subject areas
- Applied Mathematics