65 citations · 121 across the 8 of their papers we have counts for
8 papers
Oscillations in neuronal activity: a neuron-centered spatiotemporal model of the Unfolded Protein Response in prion diseases
Elliot M. Miller, Tat Chung D. Chan, Carlos Montes-Matamoros +3
Many neurodegenerative diseases (NDs) are characterized by the slow spatial spread of toxic protein species in the brain. The toxic proteins can induce neuronal stress, triggering…
A multigroup approach to delayed prion production
Mostafa Adimy, Abdennasser Chekroun, Laurent Pujo-Menjouet +1
We generalize the model proposed in [Adimy, Babin, Pujo-Menjouet, \emph{SIAM Journal on Applied Dynamical Systems} (2022)] for prion infection to a network of neurons. We do so by…
A qualitative analysis of a A-monomer model with inflammation processes for Alzheimer's disease
Ionel Ciuperca, Laurent Pujo-Menjouet, Leon Matar-Tine +2
We introduce and study a new model for the progression of Alzheimer's disease incorporating the interactions of A-monomers, oligomers, microglial cells and interleukins with neu…
First passage times in homogeneous nucleation: dependence on the total number of particles
Romain Yvinec, Samuel Bernard, Erwan Hingant +1
Motivated by nucleation and molecular aggregation in physical, chemical and biological settings, we present an extension to a thorough analysis of the stochastic self-assembly of a…
Alzheimer's disease: analysis of a mathematical model incorporating the role of prions
Mohamed Helal, Erwan Hingant, Laurent Pujo-Menjouet +1
We introduce a mathematical model of the in vivo progression of Alzheimer's disease with focus on the role of prions in memory impairment. Our model consists of differential equati…
Fragmentation and monomer lengthening of rod-like polymers, a relevant model for prion proliferation
Ionel Sorin Ciuperca, Erwan Hingant, Liviu Iulian Palade +1
The Greer, Pujo-Menjouet andWebb model [Greer et al., J. Theoret. Biol., 242 (2006), 598-606] for prion dynamics was found to be in good agreement with experimental observations un…