A nucleic acid for the controlled expression of a nucleic acid encoding a pro-apoptotic protein in an individual, including : a regulatory polynucleotide including a minimal promoter and at least one AARE (amino acid response element) nucleic acid, the regulatory polynucleotide being activated in an individual upon consumption of a diet deficient in at least one essential amino acid; and a nucleic acid encoding a pro-apoptotic protein, which is placed under the control of the regulatory polynucleotide.