A simple mathematical model for relapsing-remitting multiple sclerosis (RRMS)
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作者:
Elettreby, M. F.
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King Khalid Univ, Fac Sci, Math Dept, Abha 9004, Saudi Arabia
Mansoura Univ, Fac Sci, Math Dept, Mansoura 35516, EgyptKing Khalid Univ, Fac Sci, Math Dept, Abha 9004, Saudi Arabia
Elettreby, M. F.
[1
,2
]
Ahmed, E.
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Mansoura Univ, Fac Sci, Math Dept, Mansoura 35516, EgyptKing Khalid Univ, Fac Sci, Math Dept, Abha 9004, Saudi Arabia
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
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.
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Ctr Hosp Entre Douro & Vouga, Neurol Dept, P-4520211 Santa Maria Feira, PortugalCtr Hosp Entre Douro & Vouga, Neurol Dept, P-4520211 Santa Maria Feira, Portugal
Rodrigues, Rita
Rocha, Raquel
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Hosp Pedro Hispano, Neurol Dept, Unidade Local Saude Matosinhos, P-4450021 Matosinhos, PortugalCtr Hosp Entre Douro & Vouga, Neurol Dept, P-4520211 Santa Maria Feira, Portugal
Rocha, Raquel
Bonifacio, Goncalo
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Ctr Hosp Setubal, Neurol Dept, P-2910446 Setubal, PortugalCtr Hosp Entre Douro & Vouga, Neurol Dept, P-4520211 Santa Maria Feira, Portugal
Bonifacio, Goncalo
Ferro, Daniela
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Ctr Hosp Univ Rio Sao Joao, Neurol Dept, P-4200319 Porto, Portugal
Univ Porto, Dept Clin Neurosci & Mental Hlth, Fac Med, P-4200319 Porto, PortugalCtr Hosp Entre Douro & Vouga, Neurol Dept, P-4520211 Santa Maria Feira, Portugal
Ferro, Daniela
Sabenca, Francisco
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机构:
Ctr Hosp Vila Nova de Gaia Espinho, Neurol Dept, P-4400129 Vila Nova De Gaia, PortugalCtr Hosp Entre Douro & Vouga, Neurol Dept, P-4520211 Santa Maria Feira, Portugal
Sabenca, Francisco
Goncalves, Ana Isabel
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机构:
Hosp Beatriz Angelo, Neurol Dept, P-2674514 Loures, PortugalCtr Hosp Entre Douro & Vouga, Neurol Dept, P-4520211 Santa Maria Feira, Portugal
Goncalves, Ana Isabel
Correia, Filipe
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Hosp Pedro Hispano, Neurol Dept, Unidade Local Saude Matosinhos, P-4450021 Matosinhos, PortugalCtr Hosp Entre Douro & Vouga, Neurol Dept, P-4520211 Santa Maria Feira, Portugal
Correia, Filipe
Pinheiro, Joaquim
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机构:
Ctr Hosp Vila Nova de Gaia Espinho, Neurol Dept, P-4400129 Vila Nova De Gaia, PortugalCtr Hosp Entre Douro & Vouga, Neurol Dept, P-4520211 Santa Maria Feira, Portugal
Pinheiro, Joaquim
Loureiro, Jose Leal
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机构:
Ctr Hosp Entre Douro & Vouga, Neurol Dept, P-4520211 Santa Maria Feira, Portugal
Inst Mol & Cell Biol, I3S, P-4200135 Porto, PortugalCtr Hosp Entre Douro & Vouga, Neurol Dept, P-4520211 Santa Maria Feira, Portugal
Loureiro, Jose Leal
Guerreiro, Rui Pedro
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Ctr Hosp Setubal, Neurol Dept, P-2910446 Setubal, PortugalCtr Hosp Entre Douro & Vouga, Neurol Dept, P-4520211 Santa Maria Feira, Portugal
Guerreiro, Rui Pedro
Vale, Jose
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Hosp Beatriz Angelo, Neurol Dept, P-2674514 Loures, PortugalCtr Hosp Entre Douro & Vouga, Neurol Dept, P-4520211 Santa Maria Feira, Portugal
Vale, Jose
Sa, Maria Jose
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Ctr Hosp Univ Rio Sao Joao, Neurol Dept, P-4200319 Porto, Portugal
Univ Fernando Pessoa, Fac Ciencias Saude, P-4249004 Porto, PortugalCtr Hosp Entre Douro & Vouga, Neurol Dept, P-4520211 Santa Maria Feira, Portugal
Sa, Maria Jose
Costa, Andreia
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机构:
Ctr Hosp Univ Rio Sao Joao, Neurol Dept, P-4200319 Porto, Portugal
Univ Porto, Dept Clin Neurosci & Mental Hlth, Fac Med, P-4200319 Porto, PortugalCtr Hosp Entre Douro & Vouga, Neurol Dept, P-4520211 Santa Maria Feira, Portugal
机构:
UT Southwestern Med Ctr Dallas, Dept Neurol & Neurotherapeut, Dallas, TX USA
VA North Texas Hlth Care Syst, Neurol Sect, Med Serv, Dallas, TX USAUniv Dusseldorf, Dept Neurol, Dusseldorf, Germany