RT journal article
T1 Mathematical modeling of neuroblast migration toward the olfactory bulb
A1 Acosta Soba, Daniel
A1 Castro González, Carmen
A1 Geribaldi Doldán, Noelia
A1 Guillén González, Francisco
A1 Nunez Abades, Pedro
A1 Ortega Román, Noelia
A1 Pérez García, Patricia
A1 Rodríguez Galván, José Rafael
A2 Anatomía y Embriología Humana
A2 BiomedicinaBiotecnología y Salud Pública
A2 Matemáticas
K1 Cell migration
K1 Chemotaxis
K1 Mathematical biology
K1 Neuroscience
K1 Numerical simulation
AB This article is devoted to the mathematical modeling of the migration of neuroblasts, precursor cells of neurons, along the Rostral Migratory Stream (RMS), the pathway they usually follow before maturing. According to our model, this way is determined mainly by attraction forces to the olfactory bulb, and also by the heterogeneous mobility of neuroblasts in different regions of the brain. Carefully identifying them as solutions to partial differential equations allows us to determine the movement of neuroblasts along the RMS in a realistic fashion. For solving the equations we develop numerical schemes where the application of novel discontinuous Galerkin methods allows to maintain the properties of the continuous model such as the maximum principle. We present some successful computer tests including parameter adjustment to fit real data from rodent brains.
PB Elsevier
SN 1879-3134
YR 2025
FD 2025
LK http://hdl.handle.net/10498/38638
UL http://hdl.handle.net/10498/38638
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 07-nov-2026