The phrase "a process that depends" is correct and usable in written English.
You can use it when describing a procedure or method that relies on certain conditions or factors.
Example: "The success of the project is a process that depends on effective communication among team members."
Alternatives: "a procedure that relies" or "a method that is contingent".
In the mouse intestinal epithelium, Lin7C is associated with the baso-lateral membrane, a process that depends on CASK (calcium/calmodulin-dependent serine protein kinase), a scaffolding protein of the MAGUK family (Lozovatsky et al., 2009).
Miller has had chance to observe elephants' feet at close quarters - a process that depends entirely on the cooperation of each individual elephant.
And it is conceivable that philanthropy itself might be demeaned by a process that depends less and less on the bond of trust between, say, a foundation and its beneficiary and more and more on an algorithm that calculates the quantitative return on a grant.
However, resistin significantly inhibits intracellular bacterial clearance (Fig. 2b), a process that depends on generation of ROS.
Predictable/controllable stimulation enables learning and counters the adverse effects of uncontrollable stimulation through a process that depends upon brain-derived neurotrophic factor (BDNF).
The evolution of the shape of growing crystals is a process that depends on various factors including crystalline material and process conditions.
Decades ago, well surveys were done only after pulling the drill pipe out of the hole, a process that, depending on depth, could take a day or more.
*A Web-based system for speedier reporting of communicable diseases among health agencies has been developed to replace a process that depended in part on written reporting and e-mail messages.
In yesterday's joint statement with the foreign ministers of Britain, France and Germany, Iran declared it would voluntarily refrain from uranium enrichment -- a process that, depending on how it is done, can produce fuel for civilian power reactors or nuclear weapons.
Toyota dealers have repaired more than a million vehicles in the last month, a process that, depending on the particular model, could involve adding a metal spacer into the pedal, shortening the pedal or removing some padding under the floor to prevent the pedal from becoming trapped under the mat.
EHD2 was found to undergo dynamic exchange at caveolae, a process that depended on a functional ATPase cycle.
