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10. Two of the compounds involved in glycolysis are fructose 6-phosphate (F) and ADP (A). Their dynamics are modeled by the following differential equations: F

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10. Two of the compounds involved in glycolysis are fructose 6-phosphate (F) and ADP (A). Their dynamics are modeled by the following differential equations: F = 0.2 _ 1.6FA2 A = 1.6111142 _ CA where c > 0. For any {blue of the parameter c, this system has one . . . . C2 0.2 equlllbrlum pomt, at m, ? . (a) (7 points) Find the Jacobian matrix of this system, at the equilib- rium point. Note that this matrix will be in terms of c. (b) (5 points) In the actual chemical reaction, the value of c can vary from around 0.265 to 0.425. For some of these values of c, the gly- colysis reaction will oscillate (that is, there will be a limit cycle at- tractor), but for other values of c, it will not. At what exact value of c does the Hopf bifurcation occur

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