Gröbner Bases Application to Algebraic Models of Biological Systems
We all learn in our first Linear Algebra class how to solve systems of linear equations. Since we live in a highly non-linear world, it is natural to ask what happens if the equations involve higher degree polynomials. While a lot more challenging and historically newer, there are techniques that allow us to solve such systems. The standard computational tools are Gröbner bases, which are a special type of generating sets with “nice" properties that allow us to solve systems of polynomial equations through a process similar to Gaussian elimination.