The phrase "are substantially dependent" is correct and usable in written English.
It can be used in contexts where you want to express a significant reliance or need for something.
Example: "The success of the project and its outcomes are substantially dependent on the team's collaboration and communication."
Alternatives: "are heavily reliant" or "are significantly contingent".
These discrepancies are not surprising, given that the results of such studies are substantially dependent on the purity of cancer tissue and the PTEN expression levels in normal breast epithelium, as well as in inflammatory or stromal cells.
This detailed review of 100 randomly selected patients admitted to a regional pediatric tertiary care center in the year 2000 suggests that a sizable proportion of all admitted patients (41%) are substantially dependent upon some form of medical technology in order to avoid deterioration in health that would necessitate hospital admission.
Though serving as an effective means for damage identification, the capability of an artificial neural network (ANN) for quantitative prediction is substantially dependent on the amount of training data.
The longitudinal splitting behavior of MWCNTs is substantially dependent on three key factors: the utilization of gaseous oxidant, the use of highly-crystallined carbon nanotubes with larger diameter, and the associated high-pressure conditions.
For more than a dozen years the Upper East Side gallery Knoedler & Company was "substantially dependent" on profits it made from selling a mysterious collection of artwork that is at the center of a federal forgery investigation, former clients of this former gallery have charged in court papers.
The tensile results indicate that the infiltration of PEO phase into the PVDF scaffold can greatly improve the elongation of the electrolyte membrane at break, but the tensile strength of the electrolyte membrane is substantially dependent on the electrospun PVDF scaffold.
Heating rates of uncoated nanoparticles were substantially dependent on buffer composition but less influenced by particle concentration.
According to Park et al. (2012), the overall shape of tensile stress strain curves of the UHPFRC was substantially dependent on the type of macro fibers.
Therefore, they were highly positively correlated with each other, which suggests that the strength of Wuhan's relations with cities inside WCC is substantially dependent on the economic factors of the city.
Profile Ecuador is substantially dependent on its petroleum resources, which have accounted for more than half of the country's export earnings and approximately two-fifths of public sector revenues in recent years.
The effectiveness of intranasal live attenuated influenza vaccines is substantially dependent on the efficient virus uptake and subsequent replication in the cells of the upper respiratory tract.
