The language in your text follows a battle theme: that of cholesterol being an enemy you have to go into combat to destroy, therefore you have words that can be translated literally such as aniquilar (annihilate, eradicate, wipe out, shoot down) disparan (to fire/shoot-shoot up in this context), eliminación (synonyms of eliminate: annihilate, eradicate, defeat, do away with,), abatir (can be translated as shoot down, as in enemy planes), so you could try to stick to the theme in the translation.

Google search: 1 - 10 of about 410 for "combat cholesterol".

"Combat Cholesterol" is a catchy title:

"Combat Cholesterol with a Healthy Lifestyle"
http://www.motherearthliving.com/issues/motherearthliving/na...

"Combat Cholesterol Without Drugs"
http://www.fitness2live.com.au/default.asp?pg=searchresults&...

"Eliminate" is often used within a sentence e.g.

Raspberries are an excellent source of vitamin C, the antioxidant vitamin, and a good source of the soluble fiber pectin which helps the body to eliminate cholesterol and environmental toxins.
http://www.annecollins.com/diet_nutrition/raspberries.htm

Apples are rich in pectin, a soluble fiber, which helps the body to eliminate cholesterol and also protects against environmental toxins.
http://www.launch-idea.com/nc/articles/art0004.htm

Many individuals have made some rather passionate attempts to cut down and even eliminate cholesterol from their diets. However, I am afraid that they are fighting a losing battle, as my professor discovered. It is impossible to completely eliminate cholesterol from the diet, and it is not good to try.
http://lovestarz.com/jansky6.html




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Note added at 4 hrs 59 mins (2006-01-15 05:47:07 GMT)
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For "los alimentos que disparan los índices de colesterol" I would have said food or foods that make cholesterol levels shoot up/ shoot up cholesterol levels because it is in keeping with the combat theme and the word "disparar".

1 - 10 of about 702,000 for foods cholesterol levels shoot up.

One of the frustrations people face when attempting to lower their cholesterol is the fact that while too much fat and cholesterol in the diet will shoot up blood cholesterol, too little fat and a poor balance of fat to carbohydrate and protein in your diet can also negatively affect your cholesterol level.
http://www.saveonfoods.com/1/brightlife/healthy_eating/sd_ch...

But you should make sure, via periodic blood tests, that your cholesterol level doesn't shoot up.
http://www.berkeleywellness.com/html/fw/fwLon06CholTest.html

Eating foods that make your blood sugar and insulin levels shoot up and then crash may contribute to weight gain.
http://www.hsph.harvard.edu/nutritionsource/healthy_weight.h...

shoot up
Informal To grow or get taller rapidly.
To increase dramatically in amount.
To riddle with bullets.
To damage or terrorize (a town, for example) by intense or random gunfire.
http://www.ask.com/reference/dictionary/ahdict/67815/shoot

disparar
From Wiktionary
Spanish (Castilian)
to shoot
Retrieved from "http://en.wiktionary.org/wiki/disparar"

Although "dispararse" is not used in this text, it has a similar meaning to "shoot up".

dispararse
From Wiktionary
Spanish
Intransitive Verb
to rocket
Synonyms
subir rapidamente

But if you have the gene and you eat the typical high-fat American diet, your cholesterol levels skyrocket.
http://www.rd.com/content/openContent.do?contentId=16038