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Space Math: NASA-funded research discovers life built with toxic chemical
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Space Math: NASA-funded research discovers life built with toxic chemical

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Topic: Math

Grade Level: 9-12

Body: Earth

Mission:

Science Education Standards: Life Science -- Content Standard C: The Interdependence of Organisms

  • Evidence for one-celled forms of life -- the bacteria -- extends back more than 3.5 billion years. The evolution of life caused dramatic changes in the composition of the Earth's atmosphere, which did not originally contain oxygen.

Short Description: Students explore the DNA of an organism based on arsenic and not phosphorus.

Source: Space Math (GSFC)


Microphotograph of the new bacterium  GFAJ-1 that subsists on the toxic element arsenic.
Microphotograph of the new bacterium GFAJ-1 that subsists on the toxic element arsenic.

NASA researchers exploring extremophile bacteria in Mono Lake, California recently a new strain of bacterium GFAJ-1 in the Gammaproteobacteria group, which not only feeds on the poisonous element arsenic, but incorporates this element in its DNA as a replacement for normal phosphorus. All other known life forms on Earth use 'standard' DNA chemistry based upon the common elements carbon, oxygen, nitrogen and phosphorus.

In the search for life on other worlds, knowing that 'life' can exist that is fundamentally different than Earth life now broadens the possible places to search for the chemistry of life in the universe.

This diagram shows the elements that make up a small section of normal DNA containing the four bases represented from top to bottom by the sequence 'CACT'. They are held together by a 'phosphate backbone' consisting of a phosphor atom, P, bonded to four oxygen atoms, O. Each phosphor group (called a phosphodiester) links together two sugar molecules (dioxyribose), which in turn bond to each of the bases by a nitrogen atom, N.








This diagram shows the elements that make up a small section of normal DNA containing the four bases represented from top to bottom by the sequence 'CACT'.

Problem 1 - The atomic mass of phosphor P= 31 AMU, arsenic As= 75 AMU, hydrogen H=1 AMU and Oxygen O= 16 AMU.

A) What is the total atomic mass of one phosphodiester molecule represented by the formula PO4 ?

B) For the new bacterium, what is the total atomic mass of one arsenate molecule represented by the formula AsO4?

Problem 2 - The DNA for the smallest known bacterium, mycoplasma genetalium, has about 582,970 base pairs. Suppose that the 1,166,000 phosphodiester molecules contribute about 30% of the total mass of this organism's DNA. If arsenic were substituted for phosphorus to form a twin arsenic-based organism, by how much would the DNA of the new organism increase?


Answer Key

Problem 1 - The atomic mass of phosphor P= 31 AMU, arsenic As= 75 AMU, hydrogen H=1 AMU and Oxygen O= 16 AMU.

A) What is the total atomic mass of one phosphodiester molecule represented by the formula PO4?

B) For the new bacterium, what is the total atomic mass of one arsenate molecule represented by the formula AsO4 ?

Answer:

A) PO4 = 1 Phosphorus + 4 Oxygen

= 1 x 31 AMU + 4 x 16 AMU

= 95 AMU

B) AsO4 = 1 Arsenic + 4 Oxygen

= 1 x 75 AMU + 4 x 16 AMU

= 139 AMU

Problem 2 - The DNA for the smallest known bacterium, mycoplasma genetalium, has about 582,970 base pairs. Suppose that the 1,166,000 phosphodiester molecules contribute about 30% of the total mass of this organism's DNA. If arsenic were substituted for phosphorus to form a twin arsenic-based organism, by how much would the DNA of the new organism increase?

Answer: The arsenic-substituted ester has a mass of 139 AMU compared to the phosphorus-based ester with 95 AMU, so the new molecule AsO4 is 100% x (95/139) = 68% more massive than PO4

Since in the normal DNA the PO4 contributes 30% of the total DNA mass, the non-PO4 molecules contribute 70% of the normal mass.

This is added to the new arsenic-based molecule mass for AsO4 of 30% x1.68 = 50% to get a new mass that is 70% + 50% = 120% heavier than the original, 'normal' DNA based on PO4.

So we would predict that the DNA of the twin arsenic-based organism is only 20% more massive than the DNA of the original phosphate-based organism.

Note: Students may have a better sense of the calculation if they start with a concrete amount of 100 grams of normal DNA. Then 70 grams are in the nonPO4 molecules and 30 grams is in the PO4 molecules. Because AsO4 is 68% more massive than PO4, its contribution would be 30 grams x 1.68 = 50 grams. Then adding this to the 70 grams you get 120 grams with is 20 grams more massive than normal DNA for a gain of 120%.

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Last Updated: 26 Jul 2012