Within minutes of the young woman being carried into the Turkish hospital just over the border from Syria, it became clear that her shattered skull, concealed by bloodied bandages, was too serious for the small state facility to treat.

The unconscious woman, in her 20s, was another victim of the increasingly bloody clashes between Islamic State militants and Kurdish forces for control of the Syrian border town of Kobani, 10 kilometres to the south.

Monitors estimate several hundred have died on each side since the upsurge in violence began more than two weeks ago.

Medics and doctors at the hospital in the Turkish town of Suruc are struggling to cope with the stream of wounded fighters from the Kurdish YPG militia who are being carried across the frontier from Syria with shrapnel or bullet wounds.

“She’s a YPG fighter. Five or six have so far come today, around 30 came yesterday,” an orderly said as they rushed her inside.

After initial treatment, she was ferried back out and drivers were ordered to take her the 190km to Diyarbakir, the largest city in Turkey’s mainly Kurdish southeast.

“She had a brain injury. Her skull is shattered. It doesn’t look good,” a doctor said as the ambulance raced away, sirens wailing.

On Sunday, the violence spilled over into Turkey, when five members of a Turkish family were injured by a stray projectile that slammed into their house close to the border.

Kurdish refugees fleeing from Kobani yesterday. Photo: Reuters

Wounded fighters make up just a fraction of the cases being handled by Turkish medics near Kobani. About 180,000 people have fled in less than three weeks, deepening the humanitarian crisis along Turkey’s south­eastern frontier, which has already seen 1.2 million people cross since the start of the war in Syria.

Once they do arrive, many families are forced to sleep rough or camp with hundreds of others in mosques or abandoned shops.

The hospital corridors are crowded with everyone from the elderly in wheelchairs to babies cradled by their mothers.

“We came to Turkey with our babies and families five days ago. We got scared as the clashes got closer,” said one headscarved mother, holding a five-month baby in her arms. Some did not make it safely across. Last week four children were injured, two of them seriously, after straying into a minefield on the border as they waited to come into Turkey.

“Everybody is fighting in Kobani. There are women my age who have been given hand grenades to throw,” said 63-year-old Alife Ali, as she waited in the hospital, a small child in her arms.

“Our people dug a five-metre deep and wide ditch around the town to protect it. We will fight to the last person.”