Yamamoto started 14 races in 2006 and 2007 for now-defunct teams Super Aguri and Spyker, then run by Kolles, without scoring a point.
Senna has been classified in only three of his races so far, with his 16th-placed finish in Malaysia and China his best result this season.
At the most recent European Grand Prix in Valencia, Senna and Virgin Racing's Timo Glock were called to the stewards after they collided while fighting for position in the race.
Senna, who made his F1 debut at in Bahrain this season, finished runner-up in the GP2 support series in 2008 and started on pole at Silverstone in that championship as well as in Formula Three, but this weekend will be kicking his heels.
Hispania are one of three new teams this season and after not scoring a point they are understood to be fighting a battle for finances as well as one on the track.
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