Volunteers found a woman's body a little over half a mile from the house where she and her partner had been vacationing, says Theodore Chronopoulos, a press spokesman for the Hellenistic Police. The body is thought to have been found in a ravine near to the hotel she was staying.
Christopher's partner spoke to her by telephone and she told him she had gone out for a run, but when she hadn't returned after several hours and had stopped answering her phone, her partner reported her missing.
Hotel owner Theodoris Theodorakis was quoted in local media as describing the droplets as "typical of a nosebleed", but police said the linen had also been sent to a laboratory for DNA testing, according to Sky News.
Reports of the missing phone still being on prompted Christopher's sister to ask people not to call her to preserve the battery.
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According to his police statement, he awoke to find she was not in the room.
The U.K. Foreign Office issued a statement confirming it is now "assisting the family of a British woman reported missing in Ikaria, and are in contact with the Greek authorities who are conducting the search for her". The area of Ikaria where she was reportedly running has paths along steep sea cliffs.
The cause of death of Nicosia-based astrophysicist Natalie Christopher, who had been on holiday with her partner, was not yet determined, the ERT channel said.
Christopher's disappearance comes only a month after 57-year-old American molecular biologist Suzanne Eaton was discovered on July 9, having died from asphyxiation in a case.
A 27-year-old farmer confessed to raping and killing Eaton, who had worked for the Max Planck Institute at Dresden University.