Yadav injured the webbing on his left hand on Thursday while stopping a Jonathan Trott shot.
The next two ODIs will be played in Mumbai (Oct 23) and Kolkata (Oct 25) and Mithun is expected to join the squad ahead of the fourth tie. The Karnataka paceman did a reasonably good job in the recent NKP Salve Challenger Series where he turned up for joint title winners India Green.
Mithun becomes the third seamer from the State to join the Indian side which already has R Vinay Kumar and S Arvind in its ranks. Another Karnataka player and opening batsman Robin Uthappa has been picked for the lone T20 international on Oct 29.
This is the first time in more than four years that three players from Karnataka have found place in the national squad. The last such occasion came in the West Indies during the 2007 World Cup when the Rahul Dravid-led side had Uthapppa and Anil Kumble as well.
