In her 17-page bail plea moved through her lawyer, the former media executive said that her medical condition is deteriorating and she has lost 18 kilograms in 4 months.
Mukerjea has also said that she wants to live in a stress-free environment.
"(Indrani) is suffering from 'chronic small vessels ischemic changes', and as a result the supply of oxygen to brain may get interrupted which may result in brain stroke and is life threatening," read her bail application, which was annexed with medical documents that ran into about 50 pages.
In the application, Indrani said that it takes around 45-60 minutes to reach hospital from Byculla women's prison (where she is presently lodged now).
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"On October 2, 2015 (Indrani) was unconscious at 5 am but was treated at 11:45 am," her bail application said.
Yesterday, CBI secured the court's permission to quiz Indrani, her ex-husband Sanjeev Khanna and her former driver Shyam Rai, against whom charge sheet has been filed.
24-year-old Sheena, daughter of Indrani from an earlier relationship, was allegedly strangled in a car and then her body burnt and dumped in a forest in Raigad, about 84 kms from here.
CBI, while maintaining that financial transaction was the motive behind the murder of Sheena, had earlier said that Peter, during his interrogation, disclosed investments of crores of rupees made by him and Indrani and is expecting information from Interpol on the details of an account opened by Indrani in a bank in Hong Kong.