#2 and #3 only please, Matlab code only as well! will vote up if answer is corre
ID: 89570 • Letter: #
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#2 and #3 only please, Matlab code only as well! will vote up if answer is correct!
Consider the system given by (x_ 1 x_ 2) = (-x_ 1 + ax_ 2 + x^2_ 1 x_ 2 b - ax_ 2 - x^2_ 1 x_ 2) (1), where x_ 1 represents the concentration of adenosine diphosphate and x_ 2 the concentration of fructose-6-phosphate, and a, b are constants. It is a simple model of the glycolysis. A fixed point of a system x = f(x), where x elementof R^n is a point x^* elementof R^n, such that f (x^*) = 0. Find the fixed point of the system in (1). Numerically solve system (1) using a = 0.06, b = 0.6, and x_ 1(0) = x^*_ 1 + elementof x_ 2(0) = x^*_ 2 + elementof as initial conditions, where elementof is a small number and x^* = (x^*_ 1, x^*_ 1)^T from part 1). Plot x_ 1 (t) versus x_ 2 (t) and the point x^* = (x^*_ 1, x^*_ 2)^T, on the same figure. Also plot x_ 1(t) and x_ 2 (t) as functions of time. Numerically solve system (1) using a = 0.06, and x_ 1(0) = x^*_ 1 + elementof, x_ 2(0) = x^*_ 2 + elementof as initial conditions where elementof is a small number and x^* = (x^*_ 1, x^*_ 2)^T from part 1). Plot x_ 1(t) versus x_ 2 (t) and the point x^* = (x^*_ 1, x^*_ 2)^T, on the same figure. Also plot x_ 1(t) and x _ 2(t) as functions of time. Compare the results in parts 2) and 3). What do you observe?Explanation / Answer
Adenosine diphosphate is a nucleotide comprised of nucleoside and two phosphate groups. The nucleoside is a pentose sugar backbone with a purine based adenine attached to it. The phosphate groups are bonded in series to the 5' carbonn of the pentose sugar. ADP is essential in photosynthesis in glycolysis. It is the end product when adenosine triphosphate losers one of its phosphate group. The energy released in the process is used to power of many vital cellular processes. ADP reconverted to ATP by the addition of phosphate group to ADP. This occurs in processes such as substrate level phosphorylation oxidative phosphorylation and photophosphorylation.
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