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The history provided and the symptoms described indicate them to be due to Panic attacks.
Since the physical examination at the hospital was normal, it is conclusive that she may not be having any ventilatory disorders or defective areas in the lung (Non breathing spots).
Children and adolescents with panic disorder have unexpected and repeated periods of intense fear or discomfort, along with other symptoms such as a racing heartbeat or feeling short of breath. Symptoms of a panic attack include - intense fearfulness, palpitations, lightheadedness, shortness of breath or a feeling of being smothered, trembling and anxiety.
Panic attacks can interfere with a child's relationships, schoolwork, and normal development. In extreme cases depression can also occur. Hence your daughter would need a proper counselling and evaluation by a child psychiatrist, along with cognitive behavior therapy. With such treatment, the kid can learn ways to control anxiety or panic attacks when they occur. The combination of medication and psychotherapy will eventually help to stop panic attacks.
I hope this helps.