A Mathematical Model of Granule Cell Generation During Mouse Cerebellum Development. 2016

Shoshana R Leffler, and Emilie Legué, and Orlando Aristizábal, and Alexandra L Joyner, and Charles S Peskin, and Daniel H Turnbull
Skirball Institute of Biomolecular Medicine, New York University School of Medicine, 540 First Avenue, New York, NY, 10016, USA.

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.

UI MeSH Term Description Entries
D008818 Mice, Neurologic Mutants Mice which carry mutant genes for neurologic defects or abnormalities. Lurcher Mice,Nervous Mice,Reeler Mice,Staggerer Mice,Weaver Mice,Chakragati Mice,Chakragati Mouse,Lurcher Mouse,Mice, Neurological Mutants,Mouse, Neurologic Mutant,Mouse, Neurological Mutant,Nervous Mouse,Neurologic Mutant Mice,Neurological Mutant Mouse,Reeler Mouse,Staggerer Mouse,Weaver Mouse,ckr Mutant Mice,Mice, Chakragati,Mice, Lurcher,Mice, Nervous,Mice, Neurologic Mutant,Mice, Reeler,Mice, Staggerer,Mice, Weaver,Mice, ckr Mutant,Mouse, Chakragati,Mouse, Lurcher,Mouse, Nervous,Mouse, Reeler,Mouse, Staggerer,Mouse, Weaver,Mutant Mice, Neurologic,Mutant Mice, ckr,Mutant Mouse, Neurologic,Neurologic Mutant Mouse
D008959 Models, Neurological Theoretical representations that simulate the behavior or activity of the neurological system, processes or phenomena; includes the use of mathematical equations, computers, and other electronic equipment. Neurologic Models,Model, Neurological,Neurologic Model,Neurological Model,Neurological Models,Model, Neurologic,Models, Neurologic
D009474 Neurons The basic cellular units of nervous tissue. Each neuron consists of a body, an axon, and dendrites. Their purpose is to receive, conduct, and transmit impulses in the NERVOUS SYSTEM. Nerve Cells,Cell, Nerve,Cells, Nerve,Nerve Cell,Neuron
D002454 Cell Differentiation Progressive restriction of the developmental potential and increasing specialization of function that leads to the formation of specialized cells, tissues, and organs. Differentiation, Cell,Cell Differentiations,Differentiations, Cell
D002531 Cerebellum The part of brain that lies behind the BRAIN STEM in the posterior base of skull (CRANIAL FOSSA, POSTERIOR). It is also known as the "little brain" with convolutions similar to those of CEREBRAL CORTEX, inner white matter, and deep cerebellar nuclei. Its function is to coordinate voluntary movements, maintain balance, and learn motor skills. Cerebella,Corpus Cerebelli,Parencephalon,Cerebellums,Parencephalons
D003198 Computer Simulation Computer-based representation of physical systems and phenomena such as chemical processes. Computational Modeling,Computational Modelling,Computer Models,In silico Modeling,In silico Models,In silico Simulation,Models, Computer,Computerized Models,Computer Model,Computer Simulations,Computerized Model,In silico Model,Model, Computer,Model, Computerized,Model, In silico,Modeling, Computational,Modeling, In silico,Modelling, Computational,Simulation, Computer,Simulation, In silico,Simulations, Computer
D000465 Algorithms A procedure consisting of a sequence of algebraic formulas and/or logical steps to calculate or determine a given task. Algorithm
D000818 Animals Unicellular or multicellular, heterotrophic organisms, that have sensation and the power of voluntary movement. Under the older five kingdom paradigm, Animalia was one of the kingdoms. Under the modern three domain model, Animalia represents one of the many groups in the domain EUKARYOTA. Animal,Metazoa,Animalia
D000831 Animals, Newborn Refers to animals in the period of time just after birth. Animals, Neonatal,Animal, Neonatal,Animal, Newborn,Neonatal Animal,Neonatal Animals,Newborn Animal,Newborn Animals
D051379 Mice The common name for the genus Mus. Mice, House,Mus,Mus musculus,Mice, Laboratory,Mouse,Mouse, House,Mouse, Laboratory,Mouse, Swiss,Mus domesticus,Mus musculus domesticus,Swiss Mice,House Mice,House Mouse,Laboratory Mice,Laboratory Mouse,Mice, Swiss,Swiss Mouse,domesticus, Mus musculus

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