Pervade (someone's) thoughts

Translations
Пронизывать (чьи-то) мысли
Doubt began to pervade his thoughts as he considered the decision.
Сомнение начало пронизывать его мысли, когда он обдумывал решение.
Definitions
To be present and influential in someone's mind or thinking, often to the extent that it dominates their mental focus or emotional state.