Multi-timescale systems and fast-slow analysis

R Bertram, JE Rubin - Mathematical biosciences, 2017 - Elsevier
Mathematical models of biological systems often have components that vary on different
timescales. This multi-timescale character can lead to problems when doing computer …

Classification of bursting patterns: A tale of two ducks

M Desroches, J Rinzel, S Rodrigues - PLoS computational biology, 2022 - journals.plos.org
Bursting is one of the fundamental rhythms that excitable cells can generate either in
response to incoming stimuli or intrinsically. It has been a topic of intense research in …

Early intrinsic hyperexcitability does not contribute to motoneuron degeneration in amyotrophic lateral sclerosis

F Leroy, B Lamotte d'Incamps, RD Imhoff-Manuel… - Elife, 2014 - elifesciences.org
In amyotrophic lateral sclerosis (ALS) the large motoneurons that innervate the fast-
contracting muscle fibers (F-type motoneurons) are vulnerable and degenerate in …

Adult spinal motoneurones are not hyperexcitable in a mouse model of inherited amyotrophic lateral sclerosis

N Delestrée, M Manuel, C Iglesias… - The Journal of …, 2014 - Wiley Online Library
Key points Intrinsic hyperexcitability of spinal motoneurones is thought to contribute to
excitotoxicity during amyotrophic lateral sclerosis (ALS), but it has never been demonstrated …

An advanced approach for the electrical responses of discrete fractional-order biophysical neural network models and their dynamical responses

YM Chu, T Alzahrani, S Rashid, W Rashidah… - Scientific Reports, 2023 - nature.com
The multiple activities of neurons frequently generate several spiking-bursting variations
observed within the neurological mechanism. We show that a discrete fractional-order …

Alpha, beta and gamma motoneurons: functional diversity in the motor system's final pathway

M Manuel, D Zytnicki - Journal of integrative neuroscience, 2011 - World Scientific
Since their discovery in the late 19th century our conception of motoneurons has steadily
evolved. Motoneurons share the same general function: they drive the contraction of muscle …

Period-doubling route to mixed-mode chaos

NM Awal, IR Epstein - Physical Review E, 2021 - APS
Mixed-mode oscillations (MMOs) are a complex dynamical behavior in which each cycle of
oscillation consists of one or more large amplitude spikes followed by one or more small …

Maturation of persistent and hyperpolarization-activated inward currents shapes the differential activation of motoneuron subtypes during postnatal development

SA Sharples, GB Miles - Elife, 2021 - elifesciences.org
The size principle underlies the orderly recruitment of motor units; however, motoneuron
size is a poor predictor of recruitment amongst functionally defined motoneuron subtypes …

Scaling of motor output, from mouse to humans

M Manuel, M Chardon, V Tysseling… - Physiology, 2019 - journals.physiology.org
Appropriate scaling of motor output from mouse to humans is essential. The motoneurons
that generate all motor output are, however, very different in rodents compared with humans …

Mixed-mode oscillations and population bursting in the pre-Bötzinger complex

BJ Bacak, T Kim, JC Smith, JE Rubin, IA Rybak - Elife, 2016 - elifesciences.org
This study focuses on computational and theoretical investigations of neuronal activity
arising in the pre-Bötzinger complex (pre-BötC), a medullary region generating the …