A wavelet tomographic algorithm is presented for statistical reconstruction of a lymphocyte nucleus. The investigation is concerned with lymphocyte nuclei of peripheral blood from two groups of patients: those who live in the area affected by the Chernobyl accident and the control group. The purpose of reconstruction is to find the probability density function of radial distribution of condensed chromatin. The difference between the two test groups is seen from considering the results of reconstruction and the wavelet energy spectra. The Radon transform is treated here as a singular wavelet transform, which allows us to reconstruct the essential scales from projection and to denoise them simultaneously. The algorithm of reconstruction involves back projecting and continuous wavelet synthesis with denoising. The use of a special local filter insures the stability of reconstruction.