The phrase "arise almost from" is correct and usable in written English.
It can be used to indicate that something originates or is caused by something else, but not entirely or directly.
Example: "The issues we face arise almost from a lack of communication within the team."
Alternatives: "stem largely from" or "result mainly from".
The bugs arise (almost inevitably) from the lack of immutability in the document selection.
These practices arise, almost exclusively, from inadequate understanding of headache disorders [13].
After all, the MLBW, NBW, and HBW cases may arise from a mix of compromised and uncompromised pregnancies, while presumably the VLBW and ELBW cases arise almost exclusively from compromised pregnancies.
Since there was no difference in the plating efficiency when transformant and parental cell lines were tested in their conditioned or fresh unconditioned media, the increase in adhesiveness of the transfectants arises almost exclusively from the cells themselves and not from material secreted into the conditioned medium.
In the rest of the population there have been 6,848 cases of thyroid cancer among young children – arising "almost entirely" from the Soviet Union's failure to prevent people from drinking milk contaminated with iodine 131.
The film's dislocated emotional effect arises almost entirely from Holly, whose banal narration goes starkly against the grain.
In plain truth, our delight in the accomplishment of Col. Glenn has arisen almost wholly from the fact that he is an American.
That, too, is a feeling that arose almost immediately from the ashes of Sept. 11, the sense that a sudden bond had been revealed among us all, a blessing no one expected.
The patent arises almost directly from research work and the attribution of property rights to the university is straightforward.
The amorphous phase orientation and form birefringence for all films were found to be very small, and the observed birefringence arose almost exclusively from the crystalline phase.
