The phrase "are critically dependent upon" is correct and usable in written English.
It can be used to emphasize the importance of a particular factor or condition that is essential for something to function or succeed.
Example: "The success of the project is critically dependent upon the timely delivery of materials."
Alternatives: "are heavily reliant on" or "are fundamentally based on".
The safety and efficacy of these strategies and considerations regarding field trial design are critically dependent upon a detailed understanding of the distribution of mosquitoes and their movement between habitat patches.
These decisions, in turn, are critically dependent upon how many consumers can be convinced to switch to a brand by temporarily reducing its price, and how many are instead brand loyal.
Results of this study extend previous work suggesting that HDACi's have utility in augmenting the efficiency of fear extinction, although their apparent benefits are critically dependent upon specific parameters of extinction training.
The deflection due to electrostriction was compressive and less than 10% of total deflection irrespective of applied current density and anodic oxidation time, indicating that the magnitude and sign of the stresses developed during the oxide growth are critically dependent upon the volume-generated stress.
The longevity and well-being of your brain are critically dependent upon consuming hard water.
Treatment outcomes are critically dependent upon the duration of the treatment break and the radiosensitivity of the tumor.
Proper neural crest cell migration is critically dependent upon the control of E-cadherin levels within the CNC21,58,59.
The polar disk-like structure of the normal, quiescent endothelial cell is critically dependent upon the cytoskeletal architecture.
The results also appear to be critically dependent upon the specific location of the Musgrave Province, constrained between thicker cratonic masses.
The loss factors of the different waves are found to be critically dependent upon the inertia coupling and wave-number in particular wave-number regions.
