Could mathematics be the key to unlocking the mysteries of multiple sclerosis?
Multiple sclerosis (MS) is an autoimmune, neurodegenerative disease that is driven by
immune system-mediated demyelination of nerve axons. While diseases such as cancer …
immune system-mediated demyelination of nerve axons. While diseases such as cancer …
[PDF][PDF] A fractal-fractional order model to study multiple sclerosis: a chronic disease
A mathematical model of progressive disease of the nervous system also called multiple
sclerosis (MS) is studied in this manuscript. The proposed model is investigated under the …
sclerosis (MS) is studied in this manuscript. The proposed model is investigated under the …
Mathematical modelling of oscillating patterns for chronic autoimmune diseases
R Della Marca, MP Machado Ramos… - … Methods in the …, 2022 - Wiley Online Library
Many autoimmune diseases are chronic in nature, so that in general, patients experience
periods of recurrence and remission of the symptoms characterizing their specific …
periods of recurrence and remission of the symptoms characterizing their specific …
A mathematical model of the multiple sclerosis plaque
N Moise, A Friedman - Journal of theoretical biology, 2021 - Elsevier
Multiple sclerosis is an autoimmune disease that affects white matter in the central nervous
system. It is one of the primary causes of neurological disability among young people. Its …
system. It is one of the primary causes of neurological disability among young people. Its …
Physiological and chaos effect on dynamics of neurological disorder with memory effect of fractional operator: A mathematical study
Background and objective: To study the dynamical system, it is necessary to formulate the
mathematical model to understand the dynamics of various diseases that are spread …
mathematical model to understand the dynamics of various diseases that are spread …
[PDF][PDF] Mathematical analysis of neurological disorder under fractional order derivative
Multiple sclerosis (MS) is a common neurological disorder that affects the central nervous
system (CNS) and can cause lesions that spread over space and time. Our study proposes a …
system (CNS) and can cause lesions that spread over space and time. Our study proposes a …
[HTML][HTML] Cytokine-induced instabilities in a reaction–diffusion-chemotaxis model of Multiple Sclerosis: Bifurcation analysis and well-posedness
In this paper, we develop a model for the evolution of the Multiple Sclerosis pathology that
considers the modulatory influence of cytokines on the activation rate of macrophages. Our …
considers the modulatory influence of cytokines on the activation rate of macrophages. Our …
Reaction-diffusion systems derived from kinetic models for Multiple Sclerosis
R Travaglini, JM Oliveira - arXiv preprint arXiv:2309.05119, 2023 - arxiv.org
We present a mathematical study for the development of Multiple Sclerosis in which a spatio-
temporal kinetic model describes, at mesoscopic level, the dynamics of a high number of …
temporal kinetic model describes, at mesoscopic level, the dynamics of a high number of …
Research on actual or industrial applications of difference equations: a chimerical task?
R Lozi - Journal of Difference Equations and Applications, 2023 - Taylor & Francis
Relationships between difference and differential equations are examined, to understand
why the applications of the first to problems of real life, are not as well developed as the …
why the applications of the first to problems of real life, are not as well developed as the …
Reaction-diffusion models in weighted and directed connectomes
O Schmitt, C Nitzsche, P Eipert… - PLOS Computational …, 2022 - journals.plos.org
Connectomes represent comprehensive descriptions of neural connections in a nervous
system to better understand and model central brain function and peripheral processing of …
system to better understand and model central brain function and peripheral processing of …