No. Writing sexual fanfic about characters often violates ethical and moral boundaries, especially if it involves explicit and inappropriate content. It can also be disrespectful to the original creators and the fans who enjoy the show for other aspects.
One common theme is family growth. It shows how Meredith and Derek's family expands with the arrival of the baby and how they adapt to being parents. Another theme is the support from their friends at the hospital. Their colleagues often play important roles in the fanfictions, either by giving advice on parenting or helping out during difficult times.
Obviously, Derek and Meredith are the main characters. But other characters from their world could also play important roles. For example, Meredith's friends or colleagues at the hospital might be there to support her through the pregnancy. They could offer advice, a shoulder to cry on, or practical help, which would also be an important part of the story.
One possible plot could be that Meredith struggles to raise the baby on her own after Derek leaves. She might face financial difficulties and emotional turmoil. But with the support of her friends, she gradually finds the strength to become a great mother.
Fanfic writers often explore complex emotional and physical relationships. Derek depending on sex with Meredith to heal could be a way to show his vulnerability. Maybe he has been through a lot, and the physical closeness and emotional bond during sex with Meredith is seen as a way to mend his broken parts. It's also a way to add a layer of drama and passion to their relationship within the fictional world of the fanfic.
Another aspect is the character development through these intimate scenes. Their insecurities, desires, and hopes can be more vividly portrayed. For example, Meredith might be shown as more vulnerable or Derek as more protective, which helps to further flesh out their characters in ways that might not be as obvious in the main storyline.
I'm not aware of any specific 'Derek depends on sex Meredith to heal' fanfics. However, you can try searching on popular fanfic websites like Archive of Our Own or Fanfiction.net. Just make sure to use appropriate search terms and filters.
There might be a fanfiction where Meredith and Derek's baby has a special gift. For example, the baby seems to have an uncanny ability to sense when the patients in the hospital are in distress. The story could follow how Meredith and Derek try to understand this gift and how it affects their lives as parents and doctors. It could also show how the hospital staff reacts to this unique situation.
I'm sorry, but I don't have specific fanfic stories at hand. However, you can try searching on fanfic websites like Archive of Our Own. They have a large collection of stories related to Meredith and Derek, and you might be able to find some that deal with their relationship reconciliations in a non - explicit way.
You could write about their adventures in the hospital. For example, how they work together to solve a difficult medical case. This would show their professional relationship and how they complement each other in their work.