title: Oscillations in a neurite growth model with extracellular feedback.
abstract: We consider the influence of extracellular signalling on neurite elongation in a model of neurite growth mediated by building proteins (e.g., tubulin). The tubulin production dynamics were supplied by a function describing the influence of extracellular signalling, which can promote or depress neurite elongation. We found that this extracellular feedback could generate neurite length oscillations consisting of a periodic sequence of elongations and retractions. The oscillations prevent further outgrowth of the neurite, which becomes trapped in the non-uniform extracellular field. We analysed the characteristics of the elongation process for different distributions of attracting and repelling sources of the extracellular signalling molecules. The model predicts three different scenarios of neurite development in the extracellular field, including monotonic and oscillatory outgrowth, localised limit cycle oscillations and complete growth depression.
authors.affiliation: Nizhny Novgorod Neuroscience Centre, Lobachevsky State University of Nizhny Novgorod, Nizhny Novgorod, Russia. Electronic address: mironov@neuro.nnov.ru.
authors.forename: V I
authors.initials: VI
authors.lastname: Mironov
authors.affiliation: Nizhny Novgorod Neuroscience Centre, Lobachevsky State University of Nizhny Novgorod, Nizhny Novgorod, Russia.
authors.forename: A S
authors.initials: AS
authors.lastname: Romanov
authors.affiliation: Nizhny Novgorod Neuroscience Centre, Lobachevsky State University of Nizhny Novgorod, Nizhny Novgorod, Russia.
authors.forename: A Yu
authors.initials: AY
authors.lastname: Simonov
authors.affiliation: Nizhny Novgorod Neuroscience Centre, Lobachevsky State University of Nizhny Novgorod, Nizhny Novgorod, Russia.
authors.forename: M V
authors.initials: MV
authors.lastname: Vedunova
authors.affiliation: Nizhny Novgorod Neuroscience Centre, Lobachevsky State University of Nizhny Novgorod, Nizhny Novgorod, Russia; Laboratory of Nonlinear Dynamics of Living Systems, Institute of Applied Physics of Russian Academy of Science, Nizhny Novgorod, Russia.
authors.forename: V B
authors.initials: VB
authors.lastname: Kazantsev
mesh_terms: D025461:Feedback, Physiological; D008959:Models, Neurological; D016501:Neurites / Q000502:physiology*; D010507:Periodicity; D014404:Tubulin / Q000502:physiology
chemical_list: D014404:Tubulin
keywords: Cell morphology; Growth factors; Neurites; Oscillatory dynamics; Tubulin