Parameter Estimation and Tuning of Firefly Luciferase Pathway Model

In this work, firefly luciferase activities are studied to create a new model for the kinetics of the system. In the previous studies, the experimental and simulation results of light intensities generated from a firefly luciferin-luciferase system have not been identical. We show that small changes in the previous theoretical model allow a far better match to experimental results. In addition to deterministic differential equations, we also use stochastic approaches to simulate and verify the new model. The Gillespie stochastic simulation algorithm and the Ito stochastic differential equation where the stochasticity is incorporated into the rate constants are used.