Shooky,
BobG makes a good point... If you want something to taste sweet, but want to avoid sugar, (sucrose), Splenda is a good choice and the lesser of the two evils.
If you want to see how bad sugar really is, spend some time watching the video at the following link... It will change your mind about sugar... and make you want to avoid it even more...
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As far as the triglycerides go... stay away from sugar and refined carbohydrates... Natural fruit sugar (fructose) from fresh fruit is ok. You can also buy small packets of fructose, but use it in small quantities and only by itself... Never with sucrose or glucose and for sure never with high fructose corn syrup (HFCS).
The anti-inflammatory regimen is a great way to lower triglycerides, but you may need to double or triple the Omega-3 fish oil and add some CholestOff, a natural plant sterol. You can get it at Costco, WallyWorld and most supermarkets.
I took part in an RTC at NIH and one of the protocol med's, sirolimus, (rapamycin), has a known side effect of elevating cholesterol and triglycerides...
A week after starting the sirolimus, my cholesterol and triglycerides had shot up like a rocket... well over their normal reference ranges... My doctors gave me two options, statins or a change in diet to avoid sugar and refined carbohydrates plus lots of Omega-3 Fish Oil.
I chose the latter, added CholestOff and had both my cholesterol and triglycerides back well within the normal reference range in a little less than a month... and I was still taking the sirolimus.
Pick up some extra virgin coconut oil and use it for cooking. You can also find it at Costco... Coconut oil contains medium-chain fatty acids (MCFAs) or medium-chain triglycerides (MCTs). MCTs are smaller and more easily digested by your body, so they do not get stored as fat.
See:
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I've been cooking with coconut oil for almost a year and love it. It stays solid below 76º F and so far hasn't turned rancid like some of my extra virgin olive oil...
If you want more flavor while cooking with coconut oil, drop in a pat of butter or spoonful of bacon grease... Both are far better for you than corn oil.
Coconut oil is also good for the skin... Ladies, if you goop up with face cream at night you might want to consider trying some high quality extra virgin coconut oil instead.
Take care,
V/R, Batch