1. In a large saucepan, combine the water with celery, ginger, garlic, chopped cilantro, 1 tablespoon sesame oil, and a pinch of salt; bring to a boil over high heat. Add the chicken breasts, and reduce heat to medium. Simmer until chicken is cooked through, about 12 minutes. Remove from heat, and let stand until chicken is cool enough to handle, about 10 minutes. Transfer the chicken to a cutting board, and cut into 1/4-inch strips, or shred as finely as possible with your fingers. Place in a medium bowl, and set aside.

2. Bring a large pot of water to a boil; add salt. Cook noodles until they are al dente according to package instructions, about 3 minutes. Transfer to a colander, let drain, and rinse under cold water until they are cool. Place in a medium bowl, and toss with remaining tablespoon sesame oil; set aside.

3. Cut cabbage in half, and remove core. Slice cabbage and carrots as thinly as possible with a mandoline or sharp knife. Place in a large bowl. Cut serrano chiles into very thin strips, and add to bowl along with shredded chicken and mint. Just before serving, pour peanut sauce over mixture, and toss to coat. Place noodles on a large serving platter, and pile chicken mixture on top. Sprinkle with peanuts and cilantro leaves.