The phrase 'especially in response to' is correct and usable in written English.
You can use it when referring to a specific reaction to something. For example: He developed an intense interest in history, especially in response to his grandfather's stories about world wars.
Police powers have been codified, though now greatly expanded, especially in response to terrorism.
Deposition of cementum continues throughout the life of the animal, especially in response to stresses.
It's true that many mammals shed tears, especially in response to pain.
This will involve government action, especially in response to people's demands for greenery.
"The British people have shown again and again throughout history our generosity of spirit, especially in response to child refugees.
There is another kind of arrogance at work in the refusal to reform the curriculum, especially in response to proposals to strengthen its "real world" relevance.
Especially in response to child abuse allegations, some men may be reluctant to enter social work because of its association with child protection practice.
The Association of Lord-Lieutenants told the committee: "We regret any knee-jerk award or removal of honour, especially in response to media clamour.
They have to take great care that nothing they do, especially in response to this threat, treats the Muslim majority and the jihadist cult as if they were one group.
In 1988, after his son was nominated for vice president, Mr. Quayle vigorously defended his son's credentials, especially in response to questions about whether Dan Quayle had avoided the draft in the Vietnam War by joining the National Guard.
These present new opportunities and challenges for data collection, especially in response to respondents' actions (Couper and Miller 2008).
