where 𝑀 𝑖 * is the propagating chain ending in monomer 𝑀 𝑖 , 𝑀 𝑗 is the monomer subscripted by 𝑗, 𝑘 𝑖𝑗 is the rate constant for the propagating chain ending in 𝑀 𝑖 adding to 𝑀 𝑗 . For a ternary system, 𝑖 and 𝑗 can take the values of 1, 2 or 3, representing Styrene, Myrcene and DBI respectively. To set up the rate equation for the ternary system, a system of ODEs which relates the rates of monomer disappearance, or the rate of monomer incorporation into the terpolymer can be written down in matrix form as follow: