Acta Mathematica Hungarica

, Volume 139, Issue 1, pp 160–182

Multifactorial inheritance with selection

  • Balázs Gerencsér
  • Balázs Ráth
  • Gábor Tusnády

DOI: 10.1007/s10474-012-0248-x

Cite this article as:
Gerencsér, B., Ráth, B. & Tusnády, G. Acta Math Hung (2013) 139: 160. doi:10.1007/s10474-012-0248-x


We present an alternative model for multifactorial inheritance. By changing the way the malformation (and selection) is determined from the genetic information, we arrive at a model that can be properly handled in the mathematical sense. This includes the proof of population convergence and computation of conditional malformation probabilities in a closed form. We also present a comparison to similar models and results of fitting our model to Hungarian data.

Key words and phrases

multifactorial inheritancebirth defectbalance of selection and mutation

Mathematics Subject Classification


Copyright information

© Akadémiai Kiadó, Budapest, Hungary 2012

Authors and Affiliations

  • Balázs Gerencsér
    • 1
  • Balázs Ráth
    • 2
  • Gábor Tusnády
    • 1
  1. 1.Alfréd Rényi Institute of MathematicsHungarian Academy of SciencesBudapestHungary
  2. 2.ETH ZürichZürichSwitzerland