Artificial sinew comes in either polyester or nylon. Those are the two grades.
Nylon will make a stretchy, performance robbing, string. Polyester will make one that will work well.
But if you want the look of an art. sinew string I suggest getting actual bowstring material in a suitable color. B-50, B-500, B-55, or one of the FastFlite-type strings will serve you a lot better than artificial sinew.
As for putting a high performance string on a self bow... lots of guys do it and are pleased with the results. Be sure to pad the eyes out so the string diameter is fatter and don't be tempted to go the "skinny string" route and use something silly like six strands in the bowstring.
Guy
Yup, aaron got the padding right.
Even if you use more stands making a high performance string the strands are thinner and the finished string is thin enough to warrant padding the eyes. A lot of string makers use B-50 or equivalent for the padding material.
As for telling the difference between nylon and polyester artificial sinew, you can do a burn test. The two materials smell different when they are burned. Of course, you'll need to have a control material that you know is nylon or polyester in order to tell what it smells like.
Guy