Artificial intelligent assistant

How exactly is glyceraldehyde 3-Phosphate reverted to ribulose 1,5-bisphosphate for the continuation of the calvin cycle? Around 6 molecules of G3P is produced at the end of the Calvin Cycle (light independent reactions of photosynthesis), and 5 of which are reverted back to RuBp. The general equation that I read is 5 G3P -----> 3 RuBp using 3 ATP. It however doesn't seem to add up (regarding balancing of the atoms) as 5 phosphates would be converted to 6. I would appreciate a link to any resource explaining this process in detail. Thank you and have a nice day ^^

You need to account for free phosphates (Pi) that derive from ATP and are released in phosphatase reactions. The regeneration of 3 ribulose-1,5-2P has the overall reaction

5 glyceraldehyde-3P + 3 ATP $\rightarrow$ 3 ribulose-1,5-2P + 3 ADP + 2 Pi

So in total eight phosphates (here counting ATP as 1) are redistributed, 6 of which end up in ribulose-1,5-2P, and two are released as free phosphates. (These Pi are then recaptured during ATP synthesis in the light-dependent reactions.)

The above is a summary reaction of course; the complete scheme involves 10 enzymatic reactions that rearrange carbons in various ways to form 5-carbon sugars from 3-carbon ones (which takes a bit of juggling of atoms). Release of free Pi occurs in the fructose biphosphatase and seduheptulose biphosphatase steps.

A detailed account can be found in any major biochemistry textbook, like Stryer's Biochemistry. Online resources like MetaCyc can also be helpful.

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