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1. Consider the following chemical reaction network: S+E C +P+2E, with parameters ki, k-1, kz. a) Calculate the system of differential equations by writing each

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1. Consider the following chemical reaction network: S+E C +P+2E, with parameters ki, k-1, kz. a) Calculate the system of differential equations by writing each reac- tion intuitively. b) Find the stoichiometry matrix, and compute the ODE by using the compact form y' =Tw(y). Verify that it is the same you found before. c) Intuitively describe the expected mass conservation laws in this system, and prove that these equations are satisfied. 1. Consider the following chemical reaction network: S+E C +P+2E, with parameters ki, k-1, kz. a) Calculate the system of differential equations by writing each reac- tion intuitively. b) Find the stoichiometry matrix, and compute the ODE by using the compact form y' =Tw(y). Verify that it is the same you found before. c) Intuitively describe the expected mass conservation laws in this system, and prove that these equations are satisfied

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