preprints

• M. B. Guasch, N. Feeley, I. Soriano, S. Thorn, I. Tomlinson, M. D. Nicholson, T. Antal:
  Quantifying ‘just-right’ APC inactivation for colorectal cancer initiation
  bioRxiv
• X. B. Guasch, P. L. Krapivsky, T. Antal:
  Multi-type critical process: a birth-death model of error catastrophe
  arXiv:2306.11609

papers

74. A. D. Richardson, T. Antal, R. A. Blythe, L. J. Schumacher:
    Learning spatio-temporal patterns with Neural Cellular Automata
    PLOS Computational Biology 20 (4), e1011589 (2024)
73. M. D. Nicholson, D. Cheek and T. Antal:
    Mutation accumulation in exponentially growing populations
    PLoS Comput Biol 19(7): e1011289 (2023)
72. D. Cheek and T. Antal:
    Genetic composition of an exponentially growing cell population
    Stochastic Processes and their Applications 130, 6580 (2020).
    arXiv:1905.12355 (pdf)
    
71. A. Moyano, G. Lustig, H. E. Rodel, T. Antal, A. Sigal:
    Interference with HIV infection of the first cell is essential for viral clearance at sub-optimal levels of drug inhibition
    PLoS Comput Biol 16(2): e1007482 (2020).
    
70. S. Avanzini and T. Antal:
    Cancer recurrence times from a branching process model
    PLoS Comput Biol 15(11): e1007423 (2019).
    
69. M. D. Nicholson and T. Antal:
    Competing paths over fitness valleys in growing populations
    PLoS Comput Biol 15(4): e1006866 (2019).
    
68. D. Cheek and T. Antal:
    Mutation frequencies in a birth-death branching process
    The Annals of Applied Probability 28, 3922 (2018).
    
67. M. D. Nicholson and T. Antal:
    Universal asymptotic clone size distribution for general population growth
    Bull Math Biol 78: 2243 (2016).
    
66. T. Antal, P. L. Krapivsky, M. A. Nowak:
    Spatial evolution of tumors with successive driver mutations (pdf)
    Physical Review E 92, 022705 (2015).
65. P. Keller and T. Antal:
    Mutant number distribution in an exponentially growing population (pdf)
    Journal of Statistical Mechanics P01011 (2015).

64. I. Bozic, J. G. Reiter, B. Allen, T. Antal, K. Chatterjee, P. Shah, Y. S. Moon, A. Yaqubie, N Kelly, D. T. Le, E. J. Lipson, P. B. Chapman, L. A. Diaz Jr, B. Vogelstein, M. A. Nowak:
    Evolutionary dynamics of cancer in response to targeted combination therapy (pdf)
    eLife 2:e00747 (2013).
    with commentary by N. L. Komarova and C. R. Boland in Nature (pdf)

63. T. Antal and P. L. Krapivsky:
    Outbreak size distributions in epidemics with multiple stages (pdf)
    Journal of Statistical Mechanics P07018 (2012).
    

62. T. Antal and P. L. Krapivsky:
    Molecular Spiders on a Plane (pdf)
    Physical Review E 85, 061927 (2012).
    

61. T. Antal and P. L. Krapivsky:
    Exact solution of a two-type branching process: Models of tumor progression (pdf)
    Journal of Statistical Mechanics P08018 (2011).
    

60. S. Yachida, S. Jones, I. Bozic, T. Antal, R. Leary, B. Fu, M. Kamiyama, R. H. Hruban, J. R. Eshleman, M. A. Nowak, V. E. Velculescu, K. W. Kinzler, B. Vogelstein, and C. A. Iacobuzio-Donahue:
    Distant metastasis occurs late during the genetic evolution of pancreatic cancer http://dx.doi.org/10.1038/nature09515 (pdf)
    Nature 467, 1114 (2010).
    with commentary by E. G. Luebeck (pdf)
    

59. I. Bozic, T. Antal, H. Ohtsuki, H. Carter, D. Kim, S. Chen, R. Karchin, K. W. Kinzler, B. Vogelstein, M. A. Nowak:
    Accumlation of driver and passenger mutations during tumor progression (pdf)
    PNAS 107, 18545 (2010).
    with commentary by R. R. Regoes (pdf)
    

58. T. Antal and P. L. Krapivsky:
    Exact solution of a two-type branching process: Clone size distribution in cell division kinetics (pdf)
    Journal of Statistical Mechanics P07028 (2010).
    

57. T. Antal, E. Ben-Naim, P. L. Krapivsky:
    First Passage Properties of the Polya Urn Process (pdf)
    Journal of Statistical Mechanics P07009 (2010).
    

56. S. Rajamani, J. Ichida, T. Antal, D. Treco, K. Leu, M. Nowak, J. Szostak, I. Chen:
    Effect of Stalling after Mismatches on the Error Catastrophe in Nonenzymatic Nucleic Acid Replication (pdf)
    Journal of the American Chemical Society, 132, 5880 (2010).
    

55. S. Ojosnegros, N. Beerenwinkel, T. Antal, M. A. Nowak, C. Escarmis, and E. Domingo:
    Competition-colonization dynamics in an RNA virus (pdf)
    PNAS, 107, 2108 (2010).
    

54. M. A. Nowak, C. E. Tarnita, T. Antal:
    Evolutionary dynamics in structured populations (pdf)
    Philosophical Transactions of the Royal Society B 365, 19 (2010).
    

53. T. Antal, F. Sylos Labini, N. L. Vasilyev, Y. V. Baryshev:
    Galaxy distribution and extreme value statistics (pdf)
    Europhysics Letters, 88, 59001 (2009).
    

52. T. Antal, P. L. Krapivsky, S. Redner:
    Shepherd Model for Knot-Limited Polymer Ejection from a Capsid (pdf)
    Journal of Theoretical Biology, 261, 488 (2009)
    

51. C. E. Tarnita, T. Antal, M. A. Nowak:
    Mutation-selection equilibrium in games with mixed strategies (pdf)
    Journal of Theoretical Biology, 261, 50 (2009)
    

50. D. Dingli, T. Antal, A. Traulsen, J. M. Pacheco:
    Progenitor cell self-renewal and cyclic neutropenia (pdf)
    Cell Proliferation 42, 330 (2009).
    

49. C. E. Tarnita, T. Antal, H. Ohtsuki, M. A. Nowak:
    Evolutionary dynamics in set structured populations (pdf)
    PNAS, 106, 8601 (2009).
    

48. T. Antal, H. Ohtsuki, J. Wakeley, P. D. Taylor, M. A. Nowak:
    Evolution of cooperation by phenotypic similarity (pdf)
    PNAS, 106, 8597 (2009).
    with commentary by K. Sigmund (pdf)
    

47. C. E. Tarnita, H. Ohtsuki, T. Antal, F. Fu, M. A. Nowak:
    Strategy selection in structured populations (pdf)
    Journal of Theoretical Biology, 259, 570 (2009).
    

46. T. Antal, A. Traulsen, H. Ohtsuki, C. E. Tarnita, M. A. Nowak:
    Mutation-selection equilibrium in games with multiple strategies (pdf)
    Journal of Theoretical Biology, 258, 614 (2009).
    

45. T. Antal, M. A. Nowak, A. Traulsen:
    Strategy abundance in 2x2 games for arbitrary mutation rates (pdf)
    Journal of Theoretical Biology, 257, 340 (2009).
    

44. T. Antal, P. L. Krapivsky, A. Rakos:
    Logarithmic current fluctuations in non-equilibrium quantum spin chains (pdf)
    Physical Review E 78, 061115 (2008).
    

43. J. M. Pacheco, A. Traulsen, T. Antal, D. Dingli:
    Cyclic neutropenia in mammals (pdf)
    American Journal of Hematology 83, 920 (2008).
    

42. T. Antal, D. ben-Avraham, E. Ben-Naim, P. L. Krapivsky:
    Front Propagation with Rejuvenation in Flipping Processes (pdf)
    Journal of Physics A 41, 465002 (2008).
    

41. T. Antal, P. L. Krapivsky, S. Redner:
    Exciting Hard Spheres (pdf)
    Physical Review E 78, 030301(R), (2008).
    

40. V. Sood, T. Antal, S. Redner:
    Voter Models on Heterogeneous Networks (pdf)
    Physical Review E 77, 041121 (2008).
    

39. S. Jones, W. Chen, G. Parmigiani, F. Diehl, N. Beerenwinkel, T. Antal, A. Traulsen, M. A. Nowak, C. Siegel, V. E. Velculescu, K. W. Kinzler, B. Vogelstein, J. Willis, S. D. Markowitz:
    Comparative lesion sequencing provides insights into tumor evolution (pdf)
    PNAS, 105, 4283 (2008).
    

38. N. Beerenwinkel, T. Antal, D. Dingli, A. Traulsen, K. W. Kinzler, V. E. Velculescu, B. Vogelstein, M. A. Nowak:
    Genetic progression and the waiting time to cancer (with supplementary material) (pdf)
    PLoS Comput Biol 3, e225 (2007).
    

37. T. Antal, P. L. Krapivsky, S. Redner, M. Mailman, and B. Chakraborty:
    Dynamics of an idealized model of microtubule growth and catastrophe (pdf)
    Physical Review E 76, 041907 (2007).
    

36. T. Antal, I. Bena, M. Droz, K. Martens, and Z. Racz:
    Guiding-fields for phase-separation: Controlling Liesegang patterns (pdf)
    Physical Review E 76, 046203 (2007).
    

35. T. Antal and P. L. Krapivsky:
    Molecular Spiders with Memory (pdf)
    Physical Review E 76, 021121 (2007).
    commentary by M. Buchanan in Nature Physics (pdf)
    

34. T. Antal, P. L. Krapivsky, and K. Mallick:
    Molecular Spiders in One Dimension (pdf)
    Journal of Statistical Mechanics P08027 (2007).
    

33. T. Antal, K. B. Blagoev, S.A. Trugman, S. Redner:
    Aging and Immortality in a Cell Proliferation Model (pdf)
    Journal of Theoretical Biology, 248, 411 (2007).
    

32. T. Antal, P. L. Krapivsky, and S. Redner:
    Dynamics of Microtubule Instabilities (pdf)
    Journal of Statistical Mechanics L05004 (2007).
    

31. M. R. D'Orsogna, T. Chou, and T. Antal:
    Exact steady-state velocity of ratchets driven by random sequential adsorption (pdf)
    Journal of Physics A 40, 5575 (2007).
    

30. D. Dingli, F. Michor, T. Antal, and J. M. Pacheco:
    The emergence of tumor metastases (pdf)
    Cancer Biology and Therapy 6, 383 (2007).
    

29. T. Antal and P. L. Krapivsky:
    Flows on Graphs with Random Capacities (pdf)
    Physical Review E 74, 051110 (2006).
    

28. T. Antal, P. L. Krapivsky, and S. Redner:
    Social Balance on Networks: The Dynamics of Friendship and Enmity (pdf)
    Physica D 224, 130 (2006).
    

27. T. Antal, S. Redner, and V. Sood:
    Evolutionary dynamics on degree-heterogeneous graphs (pdf)
    Physical Review Letters 96, 188104 (2006).
    

26. T. Antal and S. Redner:
    Escape of a Uniform Random Walk from an Interval (pdf)
    Journal of Statistical Physics 123, 1129 (2006).
    

25. T. Antal and I. Scheuring:
    Fixation of strategies for an evolutionary game in finite populations (pdf)
    Bulletin of Mathematical Biology 68, 1923 (2006).
    

24. T. Antal, P. L. Krapivsky, and S. Redner:
    Dynamics of Social Balance on Networks (pdf)
    Physical Review E 72, 036121 (2005).
    

23. T. Antal and P. L. Krapivsky:
    A "Burnt Bridge" mechanism of molecular motor motion (pdf)
    Physical Review E 72, 046104 (2005).
    

22. T. Antal and S. Redner :
    Excited Random Walk in One Dimension (pdf)
    Journal of Physics A 38, 2555 (2005).
    

21. T. Antal and P. L. Krapivsky:
    Weight-driven growing networks (pdf)
    Physical Review E. 71, 026103 (2005).
    

20. T. Antal, M. Droz, and Z. Racz:
    Probability distribution of magnetization in the one-dimensional Ising model: effects of boundary conditions (pdf)
    Journal of Physics A 37, 1465 (2004).
    

19. T. Antal, M. Droz, and A. Lipowski:
    Exponential velocity tails in a driven inelastic Maxwell model (pdf)
    Physical Review E. 66, 062301 (2002).
    

18. T. Antal, H. J. Hilhorst, and R. K. P. Zia:
    Repeated bond traversal probabilities for the simple random walk (pdf)
    Journal of Physics A 35, 8145 (2002).
    

17. T. Antal, M. Droz, G. Gyorgyi, and Z. Racz:
    Roughness distribution for 1/f^alpha signals (pdf)
    Physical Review E. 65, 046140 (2002).
    

16. T. Antal, M. Droz, G. Gyorgyi, and Z. Racz:
    1/f noise and extreme value statistics (pdf)
    Physical Review Letters 87, 240601 (2001).
    

15. G. Szabo, T. Antal, P. Szabo, and M. Droz:
    On the Role of External Constraints in a Spatially Extended Evolutionary Prisoner's Dilemma Game (pdf)
    Modeling Complex Systems, 574, 38 (2001).
    

14. T. Antal, M. Droz, A. Lipowski, and G. Odor:
    Critical behavior of a lattice prey-predator model (pdf)
    Physical Review E. 64, 036118 (2001).
    

13. T. Antal and M. Droz:
    Phase Transitions and Oscillations in a Lattice Prey-Predator Model (pdf)
    Physical Review E. 63, 056119 (2001).
    

12. T. Antal, M. Droz, J. Magnin, A. Pekalski, and Z. Racz:
    Formation of Liesegang Patterns: Simulations using a kinetic Ising model (pdf)
    Journal of Chemical Physics 114, 3770 (2001).
    

11. G. Szabo, T. Antal, P. Szabo, and M. Droz:
    Spatial evolutionary prisoner's dilemma game with three strategies and external constraints (pdf)
    Physical Review E. 62, 1095 (2000).
    

10. T. Antal and G. M. Schutz:
    Asymmetric exclusion process with next-nearest-neighbor interaction: Some comments on traffic flow and a nonequilibrium reentrence transition (pdf)
    Physical Review E. 62, 83 (2000).
    

9. T. Antal, M. Droz, J. Magnin, and Z. Racz:
   Formation of Liesegang Patterns: A Spinodal Decomposition Scenario (pdf)
   Physical Review Letters 83, 2880 (1999).
   

8. T. Antal, Z. Racz, A Rakos, and G. M. Schutz:
   Transport in the XX chain at zero temperature: Emergence of flat magnetization profiles (pdf)
   Physical Review E. 59, 4912 (1999).
   

7. T. Antal, M. Droz, J. Magnin, Z. Racz, and M. Zrinyi:
   Derivation of the Malaton-Packter law for Liesegang patterns (pdf)
   Journal of Chemical Physics 109, 9479 (1998).
   

6. T. Antal, Z. Racz, A. Rakos, and G. M. Schutz:
   Isotropic transverse XY chain with energy and magnetization currents (pdf)
   Physical Review E. 57, 5184 (1998).
   

5. G. Szabo, A. Szolnoki, T. Antal, and I. Borsos:
   Self-organizing domain structure in a driven diffusive system (pdf)
   Physical Review E 55, 5275 (1997).
   

4. T. Antal, Z. Racz, and L. Sasvari:
   Nonequilibrium steady state in a quantum system: One-dimensional transverse Ising model with energy current (pdf)
   Physical Review Letters 78, 167 (1997).
   

3. T. Antal and Z. Racz:
   Dynamic Scaling of Width Distribution in Edwards--Wilkinson Type Models of Interface Dynamics (pdf)
   Physical Review E 54, 2256 (1996).
   

2. G. Szabo, A. Szolnoki, and T. Antal:
   Anisotropic polydomain structure in a driven lattice gas with repulsive interaction (pdf)
   Physical Review E 49, 299 (1994).
   

1. G. Szabo, A. Szolnoki, T. Antal, and I Borsos:
   Interface instability in driven lattice gases (pdf)
   Fractals 1, 954 (1993).
   

You can also find my papers on the arXiv.

University of Edinburgh School of Mathematics