Stem Cell Differentiation as a Non-Markov Stochastic Process

Cell Syst. 2017 Sep 27;5(3):268-282.e7. doi: 10.1016/j.cels.2017.08.009.

Abstract

Pluripotent stem cells can self-renew in culture and differentiate along all somatic lineages in vivo. While much is known about the molecular basis of pluripotency, the mechanisms of differentiation remain unclear. Here, we profile individual mouse embryonic stem cells as they progress along the neuronal lineage. We observe that cells pass from the pluripotent state to the neuronal state via an intermediate epiblast-like state. However, analysis of the rate at which cells enter and exit these observed cell states using a hidden Markov model indicates the presence of a chain of unobserved molecular states that each cell transits through stochastically in sequence. This chain of hidden states allows individual cells to record their position on the differentiation trajectory, thereby encoding a simple form of cellular memory. We suggest a statistical mechanics interpretation of these results that distinguishes between functionally distinct cellular "macrostates" and functionally similar molecular "microstates" and propose a model of stem cell differentiation as a non-Markov stochastic process.

Keywords: lineage commitment; non-Markov process; single-cell biology; statistical mechanics; stem cells; stochastic process.

Publication types

  • Research Support, Non-U.S. Gov't

MeSH terms

  • Animals
  • Cell Differentiation / physiology*
  • Cell Line
  • Cell Lineage
  • Embryonic Stem Cells / cytology
  • Gene Expression Regulation, Developmental / genetics
  • Germ Layers / cytology
  • Markov Chains
  • Mice
  • Models, Statistical
  • Mouse Embryonic Stem Cells / cytology
  • Mouse Embryonic Stem Cells / physiology
  • Pluripotent Stem Cells / cytology*
  • Pluripotent Stem Cells / metabolism
  • Pluripotent Stem Cells / physiology*
  • Stochastic Processes