Should the police have read Miranda rights to my son who suffer from PTSD?

My 17 year old son suffers from posttraumatic stress disorder, mood disorders, and extreme panic attacks. I was concerned that he was not taking his medication and that others were providing him with alcohol and marijuana. I spoke to the doctor at the mental health office, and told her I didn’t know if he would show up for his appointment, but if he did please do not mention going to a hospital as he was having severe panic attacks and a lot of flashbacks that he was getting caught up in. The doctor called the town police and asked them to come over to assist in taking a patient to the hospital. I had no knowledge of this. She, also, stated to my son that he was going to the hospital and he immediately went into protection mode. He went to his car, got in and began to drive out, normally. The town police officer squalled tires, turning on blue lights and sirens and ensued chase. Being in a heightened state of panic, my son didn't stop. He proceeded to speed up and other agencies became involved in the chase: highway patrol, small town officers from next town same county. He flipped the car upside down in a ditch. No other cars were involved and no one was hurt. He got out of the car and tried to run; saw that he couldn't and stood with his hands up. Officers yelled get down on the ground. He responded with yes sir and got on the ground. He was cuffed, placed in the back of a police car and taken to the hospital. No one ever said, "You are under arrest or stated Miranda rights." Because of my son’s health status, a psychiatrist was brought in and he was taken to a mental health facility for treatment for minors and teens. Should he have been told he was under arrest and read his Miranda rights?