The phrase "arise using" is correct and usable in written English.
It is used to express that something is utilizing or taking advantage of something else in order to rise or increase. For example: "His fame arose using his powerful connections with celebrities."
This has allowed for the development of insights and concepts that would be unlikely to arise using traditional methods alone.
The new sorting method has eliminated some difficulties that may arise using the existing "Least Ambiguous Method".
These vertex, edge, and subgraph upper bound(s) enable us to potentially remove each individual vertex, edge, and subgraph for which a clique of maximum size cannot arise (using the individual upper bound on each graph element).
However, it is only the exercise of discretion and the application of human judgment in specific situations as they arise using one's own sagacity that allows researchers along with other parties involved to take the responsibility for what they are doing.
How he entered his meditative state is unclear (as far as I know) but he learned to explore his mind with in its process, and in that way, his exploration is not unlike an exploration of the mind that might arise using mindfulness meditation.
Similar inferences arise using incidence rather than mortality data (Table 3) and when excluding lung and pleural cancer.
When negative connotations arise, use your positive affirmations to override the negatives and to try to find the silver lining in any situation.
Mr. Martinez sells his artwork when the chance arises, using a simple pricing scheme: a dollar per minute of labor.
This SNR arises using the coherent EGC diversity technique [1, equation (9.188)].
The development of these implants has been highly influenced by the numerous complications that have arisen using early designs.
The cables were spun on-site using a reel because of the problems which had arisen using a bundle on the Great Belt Bridge in Denmark.
