Quantum-mechanical predictions of DNA and RNA ionization by energetic proton beams

Among the numerous constituents of eukaryotic cells, the DNA macromolecule is considered as the most important critical target for radiation-induced damages. However, up to now ion-induced collisions on DNA components remain scarcely approached and theoretical support is still lacking for describing the main ionizing processes. In this context, we here report a theoretical description of the proton-induced ionization of the DNA and RNA bases as well as the sugar-phosphate backbone. Two different quantum-mechanical models are proposed: the first one based on a continuum distorted wave-eikonal initial state treatment and the second perturbative one developed within the first Born approximation with correct boundary conditions (CB1). Besides, the molecular structure information of the biological targets studied here was determined by ab initio calculations with the Gaussian 09 software at the restricted Hartree-Fock level of theory with geometry optimization. Doubly, singly differential and total ionization cross sections also provided by the two models were compared for a large range of incident and ejection energies and a very good agreement was observed for all the configurations investigated. Finally, in comparison with the rare experiment, we have noted a large underestimation of the total ionization cross sections of uracil impacted by 80 keV protons,whereas a very good agreement was shown with the recently reported ionization cross sections for protons on adenine, at both the differential and the total scale.

[1]  R. Gayet Charge exchange scattering amplitude to first order of a three body expansion , 1972 .

[2]  N. Hush,et al.  Ionization potentials and donor properties of nucleic acid bases and related compounds , 1975 .

[3]  T. Märk,et al.  Absolute molecular flux and angular distribution measurements to characterize DNA/RNA vapor jets , 2010 .

[4]  C. MacPhee,et al.  Modelling amyloid fibril formation kinetics: mechanisms of nucleation and growth , 2013, Journal of physics. Condensed matter : an Institute of Physics journal.

[5]  P. Weck,et al.  Quantum-Mechanical Contributions to Numerical Simulations of Charged Particle Transport at the DNA Scale , 2012 .

[6]  T. Märk,et al.  20–150-keV proton-impact-induced ionization of uracil: Fragmentation ratios and branching ratios for electron capture and direct ionization , 2010 .

[7]  A. Padellec,et al.  Electron spectroscopy in proton collisions with dry gas-phase uracil base , 2006 .

[8]  M. Sevilla,et al.  Ab initio molecular orbital calculations on DNA radical ions. 3. Ionization potentials and ionization sites in components of the DNA sugar phosphate backbone , 1993 .

[9]  S. Bari,et al.  Interactions of neutral and singly charged keV atomic particles with gas-phase adenine molecules. , 2007, The Journal of chemical physics.

[10]  A. Salin,et al.  The first Born approximation for charge transfer collisions , 1986 .

[11]  I. Charpentier,et al.  Ionization of the cytosine molecule by protons: Ab initio calculation of differential and total cross sections , 2008 .

[12]  T. Märk,et al.  Inelastic interactions of protons and electrons with biologically relevant molecules , 2002 .

[13]  J. Hanssen,et al.  Ionization of helium targets by proton impact: a four-body distorted wave-eikonal initial state model and electron dynamic correlation , 2009 .

[14]  D. Belkić A quantum theory of ionisation in fast collisions between ions and atomic systems , 1978 .

[15]  A. Itoh,et al.  Proton-impact ionization cross sections of adenine measured at 0.5 and 2.0 MeV by electron spectroscopy , 2011 .

[16]  M. Galassi,et al.  Multicenter character in single-electron emission from H{sub 2} molecules by ion impact , 2004 .

[17]  A. Salin,et al.  CDW-EIS theory of ionization by ion impact with Hartree-Fock description of the target , 1995 .

[18]  J. Hanssen,et al.  Influence of the dynamic screening on single-electron ionization of multi-electron atoms , 2010 .

[19]  C. Champion,et al.  Theoretical predictions for ionization cross sections of DNA nucleobases impacted by light ions , 2010, Physics in medicine and biology.

[20]  C. Champion,et al.  Single-electron-loss cross sections of DNA and RNA bases impacted by energetic multicharged ions: A classical Monte Carlo approximation , 2009 .

[21]  V. Ponce,et al.  A theoretical model for ionisation in ion-atom collisions. Application for the impact of multicharged projectiles on helium , 1988 .

[22]  A. Itoh,et al.  Absolute doubly differential cross sections for ionization of adenine by 1.0-MeV protons , 2011 .

[23]  C. Champion,et al.  Single and multiple cross sections for ionizing processes of biological molecules by protons and α-particle impact: a classical Monte Carlo approach , 2008, Physics in medicine and biology.

[24]  D. Crothers,et al.  Ionisation of atoms by ion impact , 1983 .

[25]  V. Ponce,et al.  Two-centre effects in ionization by ion impact , 1991 .

[26]  A. Salin,et al.  Angular distribution of electrons ejected from argon by 350 keV proton impact: CDW-EIS approximation , 1994 .

[27]  D. Dewangan,et al.  Boundary conditions and the strong potential Born approximation for electron capture , 1985 .

[28]  H. Paretzke,et al.  Calculation of electron impact ionization cross sections of DNA using the Deutsch–Märk and Binary–Encounter–Bethe formalisms , 2003 .

[29]  L. Sanche,et al.  Cross sections for electron scattering from selected components of DNA and RNA , 2005 .

[30]  T. Märk,et al.  Absolute total and partial cross sections for ionization of nucleobases by proton impact in the Bragg Peak velocity range , 2010 .