3 Gillespie algorithm from mRNA production 30 points i) Carefully read the computational exploration section in the book on Gillespie algorithm (pages 849-853) and reproduce Fig. 19.39 from the book by writing your own Gillespie algorithm. ii) Solve problem 19.11 from PB0C (Fig. 3). 19.11 Gillespie algorithm revisited In the computational exploration, we showed how the mRNA evolves as a function of time. (a) Plot the bias of the reaction-choice coin flip (that is, production or decay) as a function of time. Explain intuitively what is happening. (b) Plot the time step as a function of time. Figure 3: problem # 3. 3 Gillespie algorithm from mRNA production 30 points i) Carefully read the computational exploration section in the book on Gillespie algorithm (pages 849-853) and reproduce Fig. 19.39 from the book by writing your own Gillespie algorithm. ii) Solve problem 19.11 from PB0C (Fig. 3). 19.11 Gillespie algorithm revisited In the computational exploration, we showed how the mRNA evolves as a function of time. (a) Plot the bias of the reaction-choice coin flip (that is, production or decay) as a function of time. Explain intuitively what is happening. (b) Plot the time step as a function of time. Figure 3: problem # 3