Fig. 3

Average numbers of simple lesions due to a single carbon ion with a Bragg peak energy propagating through a uniform chromatin as functions of radial distance from the ion’s path. The lesions are produced by secondary electrons of the first (solid line) and second (dashed line) generations, \({{{\mathcal {N}}}}_1(r)\) and \({{{\mathcal {N}}}}_2(r)\). These dependencies are calculated using the corresponding number of hits, Eqs. (3) and (5), multiplied by the probability of the production of a simple lesion per hit, \(\Gamma _e=0.03\) (used in Surdutovich and Solov’yov 2014). A straight (dotted) line is the values for reactive species, \({{{\mathcal {N}}}}_r(r)\), calculated using Eq. (13) with numbers from Verkhovtsev et al. (2016)