A simple mathematical model for relapsing-remitting multiple sclerosis (RRMS)

被引:10
|
作者
Elettreby, M. F. [1 ,2 ]
Ahmed, E. [2 ]
机构
[1] King Khalid Univ, Fac Sci, Math Dept, Abha 9004, Saudi Arabia
[2] Mansoura Univ, Fac Sci, Math Dept, Mansoura 35516, Egypt
关键词
Multiple sclerosis; Relapse; Recurrence; Autoimmune diseases; Complex system; MATTER VOLUME; LYMPHOCYTES; CYTOKINES; BRAIN; GREY;
D O I
10.1016/j.mehy.2019.109478
中图分类号
R-3 [医学研究方法]; R3 [基础医学];
学科分类号
1001 ;
摘要
Multiple sclerosis is one of the most common autoimmune-related neurological disorders affecting the central nervous system. One of its main properties is dissemination of lesions in time and space. Here, we propose a simple mathematical model to describe the stages of disease progression with recurrence. We tried to find the steady states and evaluated their stability to identify the necessary conditions to produce the recurrence. Also, we described the analytical results with some numerical simulations.
引用
收藏
页数:5
相关论文
共 50 条
  • [21] Natalizumab in relapsing-remitting multiple sclerosis
    Outteryck, Olivier
    EXPERT REVIEW OF NEUROTHERAPEUTICS, 2016, 16 (05) : 471 - 481
  • [22] Fingolimod for relapsing-remitting multiple sclerosis
    La Mantia, Loredana
    Tramacere, Irene
    Firwana, Belal
    Pacchetti, Ilaria
    Palumbo, Roberto
    Filippini, Graziella
    COCHRANE DATABASE OF SYSTEMATIC REVIEWS, 2016, (04):
  • [23] Rituximab for relapsing-remitting multiple sclerosis
    He, Dian
    Zhou, Hongyu
    Han, Wenjie
    Zhang, Shihong
    COCHRANE DATABASE OF SYSTEMATIC REVIEWS, 2011, (12):
  • [24] Natalizumab for relapsing-remitting multiple sclerosis
    Horga, A.
    Tintore, M.
    NEUROLOGIA, 2011, 26 (06): : 357 - 368
  • [25] The burden of relapsing remitting multiple sclerosis (RRMS) in chile
    Kobelt, Gisela
    Carcamo, Claudia
    Ciampi, Ethel
    Uribe-San-Martin, Reinaldo
    Reyes, Ana
    Vergara, Elizabeth
    Frangini, Alberto
    MULTIPLE SCLEROSIS JOURNAL, 2022, 28 (02) : NP4 - NP4
  • [26] Increased Level of Caspase-1 in the Serum of Relapsing-remitting Multiple Sclerosis (RRMS) Patients
    Beheshti, Masoumeh
    Salehi, Zahra
    Abolfazli, Roya
    Shirzad, Hedayatolah
    Izad, Maryam
    IRANIAN JOURNAL OF ALLERGY ASTHMA AND IMMUNOLOGY, 2020, 19 (05) : 534 - 538
  • [27] REAL-LIFE EFFECTIVENESS OF NATALIZUMAB IN RELAPSING-REMITTING MULTIPLE SCLEROSIS (RRMS): A REGISTRY ANALYSIS
    Danko, D.
    Manca, A.
    Mor, Z.
    Csepany, T.
    VALUE IN HEALTH, 2014, 17 (03) : A56 - A57
  • [28] Immunophenotyping of Depression and Fatigue in Relapsing-Remitting Multiple Sclerosis (RRMS) Patients Treated with Dimethyl Fumarate
    Lee, Chieh-Hsin
    Zaeem, Zoya
    Barilla, David
    Nakhaei-Nejad, Maryam
    Giuliani, Fabrizio
    NEUROLOGY, 2019, 92 (15)
  • [29] Cladribine TabletsIn Relapsing-Remitting Multiple Sclerosis
    Victoria J. Muir
    Greg L. Plosker
    CNS Drugs, 2011, 25 : 239 - 249
  • [30] Metabolomic profiling in relapsing-remitting multiple sclerosis
    Patel, Y.
    Vingara, L.
    Li, Y.
    Yu, H. J.
    Wagshul, M.
    Pelczer, I.
    Christodoulou, C.
    Melville, P.
    Maletic-Savatic, M.
    Krupp, L.
    MULTIPLE SCLEROSIS, 2009, 15 (09): : S80 - S80