To strive to get accepted into a doctoral program in Engpsh, you can say "to strive for admission to a doctoral program" or "to strive to gain admission to a doctoral program." This phrase comes from the verb "to strive," which means to make a great effort or to try hard to achieve something. Here are some example sentences in Engpsh with Chinese translations:

I'm going to strive for admission to a doctoral program in psychology. (我要努力考上心理学博士项目。)
She's been striving to gain admission to a doctoral program in computer science for years. (她多年来一直在努力考上计算机科学博士项目。)
We're all rooting for him as he strives for admission to a doctoral program in chemistry. (我们都在为他加油，因为他正在努力考上化学博士项目。)