The phrase "is vitally dependent" is correct and usable in written English.
It is typically used to describe a strong and essential dependency between two things. Example: The success of this project is vitally dependent on the cooperation of all team members.
The entire process is vitally dependent on the appropriate estimation of uncertainties.
"The progressive development of man is vitally dependent on invention.
This encompasses all human endeavors, and is vitally dependent upon interstellar propulsion physics to realize our coming of age as an interstellar species.
"He told me that American democracy is vitally dependent on good people, who cherish the ideals of our system and actively engage in the process of making our democracy work".
When a transient depolarization occurs during phase 4 of the cardiac AP, it is termed a delayed afterdepolarization (DAD) which is vitally dependent upon the rate of the preceding action potential.
The power and value of the database for the research community are vitally dependent on availability of the relevant data, which in turn depends on researchers supporting the database by contributing their data.
Our high-tech companies are vitally dependent on immigrant brainpower.
The outcomes are vitally dependent on technical details (number of cecal punctures, needle gauge, amount of cecum ligated).
Treatment effects in an individual patient and cost-effectiveness in public health perspective are vitally dependent on long-term patient adherence, on compliance and persistence.
However, treatment effects in an individual patient and cost-effectiveness in public health perspective are vitally dependent on the long-term patient adherence as well as on compliance and persistence.
Clearly the prognosis, the need and potential for salvage therapies, and the planning of the chosen therapy are vitally dependent on accurately confirming the presence of residual disease and its extent.
