Bence Mélykúti Twitter | Blog | Personal pages | Magyar
ben-tse may-koo-ty, | Email: | LaTeX: M\'elyk\'uti
The lack of research funding or a suitable job offer forced me to abandon my academic career. You are still very welcome to build on my research results.

Research interests:
The interfaces of mathematical (esp. probabilistic) modelling, stochastic processes, statistics, machine learning, chemical reaction kinetics, systems biology, control theory, operations research. I seek novel possibilities how these can be applied to develop quantitative methods for research in the life sciences. I'm also interested in making a positive societal impact with my research, and I'm open to being contacted with interesting project ideas for consultation (currently I work as a freelance applied mathematician).

Previous appointments:


Publications -

  1. Felix Beck, Bence Mélykúti
    Parameter estimation in a subcritical percolation model with colouring
    Stochastics: An International Journal of Probability and Stochastic Processes, 91(5), 657–694, 2019. External link (open access) | PDF | arXiv:1604.08908 [math.ST], 2017. External link | Software
  2. Bence Mélykúti, Peter Pfaffelhuber
    The stationary distribution of a Markov jump process glued together from two state spaces at two vertices
    Stochastic Models, 31(4), 525–553, 2015. External link | PDF | arXiv:1401.6400 [math.PR], 2015. External link
  3. Bence Mélykúti, João P. Hespanha, Mustafa Khammash
    Equilibrium distributions of simple biochemical reaction systems for time-scale separation in stochastic reaction networks
    Journal of the Royal Society Interface, 11(97), 20140054, 2014. External link (open access) | PDF, S1 (PDF), S2 (Mathematica notebook), S3 (Mathematica notebook)
  4. Bence Mélykúti, Kevin Burrage, Konstantinos C. Zygalakis
    Fast stochastic simulation of biochemical reaction systems by alternative formulations of the chemical Langevin equation
    Journal of Chemical Physics, 132, 164109, 2010. External link | PDF
  5. Bence Mélykúti, Elias August, Antonis Papachristodoulou, Hana El-Samad
    Discriminating between rival biochemical network models: three approaches to optimal experiment design
    BMC Systems Biology, 4:38, 2010. External link (open access) | PDF
  6. István Miklós, Bence Mélykúti, Krister Swenson
    The metropolized Partial Importance Sampling MCMC mixes slowly on minimum reversal rearrangement paths
    IEEE/ACM Transactions on Computational Biology and Bioinformatics, 7(4), 763–767, 2010. External link 1 | External link 2

Doctoral thesis, MSc dissertation and longer papers -

Acknowledgements of my help +  -

  1. Sebastian Ohse, Melanie Boerries, Hauke Busch
    Blind normalization of public high-throughput databases
    PeerJ Computer Science, 5:e231, 2019. External link (open access)
    We thank Bence Mélykúti for comments that improved the manuscript. Melanie Boerries and Hauke Bush are designated equal last authors due to a shared research group at the time of this work.
  3. Levente Szántó, Yukang Feng, Fan Zhong, Timo Hees, Evelyne van Ruymbeke, Rolf Mülhaupt, Christian Friedrich
    Ultra-broad molecular weight distribution effects on viscoelastic properties of linear multimodal PE
    Journal of Rheology, 63(5), 773–784, 2019. External link
    L.Sz., Y.F., F.Z., T.H., R.M., and C.F. are grateful to BMBF for financial support within the CATEFF project. L.Sz. thanks Dr. B. Mélykúti for the valuable discussions. E.V.R. is chercheur qualifie of the Fonds National de la Recherche Scientifique (FNRS).
  5. Saul C. Leite, Ruth J. Williams
    A constrained Langevin approximation for chemical reaction networks
    Annals of Applied Probability, 29(3), 1541-1608, 2019. External link
  6. Acknowledgments. We are grateful to Paul Dupuis for permitting us to include elements of a private communication with him, relating to a modification of the uniqueness argument given in [5]. We would also like to thank Bence Melykuti for helpful feedback, as well as an Associate Editor and two anonymous referees for constructive comments and suggestions, on the first version of this paper.
  7. E. Hingant and R. Yvinec
    Deterministic and stochastic Becker–Döring equations: past and recent mathematical developments
    In: Stochastic processes, multiscale modeling, and numerical methods for computational cellular biology, Ed.: David Holcman, Springer International Publishing, Cham, 2017. External link
  8. In fact, the state space XM is given by all possible partitions of the integer M, a well-known problem in combinatorics. In particular, one can show the recurrence formula and the asymptotic as M → ∞, Flajolet and Sedgewick (2009, Chap. I.3)1
    1R. Yvinec thanks Bence Melykuti for pointing out this fact.
  9. Manoj Gopalkrishnan
    A scheme for molecular computation of maximum likelihood estimators for log-linear models
    In: DNA computing and molecular programming; 22nd International Conference, DNA 22; Munich, Germany, September 4--8, 2016; Proceedings, 3-18, 2016. External link
  10. Acknowledgements
    I thank Nick S. Jones, Anne Shiu, Abhishek Behera, Ezra Miller, Thomas Ouldridge, Gheorghe Craciun, and Bence Melykuti for useful discussions.
  11. Martin Jansen, Peter Pfaffelhuber
    Stochastic gene expression with delay
    Journal of Theoretical Biology, 364(issue), 355–363, 2015. External link
  12. Acknowledgments
    We thank Bence Melykuti for helpful comments on the manuscript.
  13. J. Goutsias, G. Jenkinson
    Markovian dynamics on complex reaction networks
    Physics Reports, 529(2), 199–264, 2013. External link
  14. Acknowledgments
    This research was supported in part by the DoD High Performance Computing Modernization Program through the National Defense Science and Engineering Graduate (NDSEG) Fellowship 32 CFR 168a, and in part by the National Science Foundation (NSF) Grants CCF-0849907 and CCF-1217213. The funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript. The authors are grateful to B. Mélykúti for reading the manuscript and for providing helpful suggestions.
  15. Marc Abrahams
    Medics subject Playboy magazine to 'peer review'
    The Guardian, Monday, 29 Oct 2012, 16.30 GMT. External link (open access)
  16. (Thanks to Bence Mélykúti for bringing this to my attention.)

Supervision -

Coursework +

Miscellaneous -