ArticleBulletin of mathematical biology2016
A Mathematical Model of Granule Cell Generation During Mouse Cerebellum Development.
Article in Bulletin of mathematical biology, 2016. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 6 papers.
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Who cites it
6 citing papers in PubMed, 12 citations in OpenAlex.
- Cerebellum lineage allocation, morphogenesis and repair: impact of interplay amongst cells.Development (Cambridge, England) · 2022Review
- Of mitogens and morphogens: modelling Sonic Hedgehog mechanisms in vertebrate development.Philosophical transactions of the Royal Society of London. Series B, Biological sciences · 2020Review
- Deletion ofFrontiers in cell and developmental biology · 2020Article
- A multiscale mathematical model of cell dynamics during neurogenesis in the mouse cerebral cortex.BMC bioinformatics · 2019Article
- Opposite regulation of Wnt/β-catenin and Shh signaling pathways by Rack1 controls mammalian cerebellar development.Proceedings of the National Academy of Sciences of the United States of America · 2019Article
- Mathematical models of human cerebellar development in the fetal period.Journal of anatomy · 2018Article
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Authors and funding
6 authors at 2 institutions in 1 country.
Funding
Abstract
Determining the cellular basis of brain growth is an important problem in developmental neurobiology. In the mammalian brain, the cerebellum is particularly amenable to studies of growth because it contains only a few cell types, including the granule cells, which are the most numerous neuronal subtype. Furthermore, in the mouse cerebellum granule cells are generated from granule cell precursors (gcps) in the external granule layer (EGL), from 1 day before birth until about 2 weeks of age. The complexity of the underlying cellular processes (multiple cell behaviors, three spatial dimensions, time-dependent changes) requires a quantitative framework to be fully understood. In this paper, a differential equation-based model is presented, which can be used to estimate temporal changes in granule cell numbers in the EGL. The model includes the proliferation of gcps and their differentiation into granule cells, as well as the process by which granule cells leave the EGL. Parameters describing these biological processes were derived from fitting the model to histological data. This mathematical model should be useful for understanding altered gcp and granule cell behaviors in mouse mutants with abnormal cerebellar development and cerebellar cancers.
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