Several factors can influence chain growth in catalytic processes, including the nature of the catalyst, the type of monomer, temperature, pressure, and solvent. The structure and composition of the catalyst can affect the rate of initiation and propagation. Monomers with different functional groups may have varying reactivities. Temperature and pressure can influence the kinetics of the reaction, while the choice of solvent can affect the solubility of the monomers and the growing chain.