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 inheritance birth defect balance of selection and mutation 

Mathematics Subject Classification

62P10 92D25 

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

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