The rest of the area is a standard grind. You should know what to do by now. Just shoot through their shields and toss them around. Just keep pushing forward. It's all one big linear path without anything too interesting. Once you go up another set of stairs you should find one moderately challenging area. This one is split between an upper and lower level. You can get flanked if you don't watch out. I suggest you cover the upper half and then flank the bottom.

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We're almost home free. You just need to break through a few more mercenaries. Use the wall for cover and take them down. The base is right ahead. The first research room with the dead krogan will be empty for people playing a new game. Players with an old game might see Rana Thanoptis here, if they didn't kill her last game. Nothing much comes of it though beyond the reference.
Get some credits from the computer and then go through the door to reach the final area. Okeer is here with his one good specimen. Things can't ever go easily though. Gas will start to pour into the room and you'll have to go kill Jedore. This commander is the woman who's been making the annoying announcements all game, so let's shut her up.
Hack the terminal here for the Krogan Vitality research. When you're ready go out the door and down to the lab below. Jedore is pretty standard for a boss. She can call up krogan from the pods and use a heavy mech. Once she's done messing with the pods at the beginning, she'll fall back behind the pods and use her rocket launcher against you. Her aim isn't that great. These are standard guys and they should come at you one at a time. The area by the entrance has plenty of cover and the pods come between you and the heavy. If you can, help your squad lay some fire down on the mech and bring it down. Since it shouldn't have a clear line of sight on you, you should be able to wear it down with abilities.
Once the mech is down the battle is basically over. If you can't get a clean shot at Jedore, then you can just storm across and flank her. She dies pretty quickly if you can use some heavy fire at point blank range.