A simple mathematical model for relapsing-remitting multiple sclerosis (RRMS)
被引:10
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作者:
Elettreby, M. F.
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机构:
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.
机构:
Fac Ciencias Med Santa Casa Sao Paulo, Dept Med, Disciplina Neurol, Ctr Atendimento & Tratamento Esclerose Miltipla, Sao Paulo, BrazilFac Ciencias Med Santa Casa Sao Paulo, Dept Med, Disciplina Neurol, Ctr Atendimento & Tratamento Esclerose Miltipla, Sao Paulo, Brazil
Mendes, MF
Tilbery, CP
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Fac Ciencias Med Santa Casa Sao Paulo, Dept Med, Disciplina Neurol, Ctr Atendimento & Tratamento Esclerose Miltipla, Sao Paulo, BrazilFac Ciencias Med Santa Casa Sao Paulo, Dept Med, Disciplina Neurol, Ctr Atendimento & Tratamento Esclerose Miltipla, Sao Paulo, Brazil
Tilbery, CP
Balsimelli, S
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Fac Ciencias Med Santa Casa Sao Paulo, Dept Med, Disciplina Neurol, Ctr Atendimento & Tratamento Esclerose Miltipla, Sao Paulo, BrazilFac Ciencias Med Santa Casa Sao Paulo, Dept Med, Disciplina Neurol, Ctr Atendimento & Tratamento Esclerose Miltipla, Sao Paulo, Brazil
Balsimelli, S
Moreira, MA
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Fac Ciencias Med Santa Casa Sao Paulo, Dept Med, Disciplina Neurol, Ctr Atendimento & Tratamento Esclerose Miltipla, Sao Paulo, BrazilFac Ciencias Med Santa Casa Sao Paulo, Dept Med, Disciplina Neurol, Ctr Atendimento & Tratamento Esclerose Miltipla, Sao Paulo, Brazil
Moreira, MA
Barao-Cruz, AM
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Fac Ciencias Med Santa Casa Sao Paulo, Dept Med, Disciplina Neurol, Ctr Atendimento & Tratamento Esclerose Miltipla, Sao Paulo, BrazilFac Ciencias Med Santa Casa Sao Paulo, Dept Med, Disciplina Neurol, Ctr Atendimento & Tratamento Esclerose Miltipla, Sao Paulo, Brazil
机构:
Guiyang Med Coll, Affiliated Hosp, Dept Neurol, Guiyang, Peoples R ChinaGuiyang Med Coll, Affiliated Hosp, Dept Neurol, Guiyang, Peoples R China
He, Dian
Guo, Rui
论文数: 0引用数: 0
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机构:
Jinan 6 Peoples Hosp, Dept Neurol, Jinan, Peoples R ChinaGuiyang Med Coll, Affiliated Hosp, Dept Neurol, Guiyang, Peoples R China
Guo, Rui
Zhang, Fubo
论文数: 0引用数: 0
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机构:
Cangzhou City Cemtral Hosp, Dept Neurol, Cangzhou, Peoples R ChinaGuiyang Med Coll, Affiliated Hosp, Dept Neurol, Guiyang, Peoples R China
Zhang, Fubo
Zhang, Chao
论文数: 0引用数: 0
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机构:
Jinan 6 Peoples Hosp, Dept Internal Med, Jinan, Peoples R ChinaGuiyang Med Coll, Affiliated Hosp, Dept Neurol, Guiyang, Peoples R China
Zhang, Chao
Dong, Shuai
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机构:
Jinan 6 Peoples Hosp, Dept Neurol, Jinan, Peoples R ChinaGuiyang Med Coll, Affiliated Hosp, Dept Neurol, Guiyang, Peoples R China
Dong, Shuai
Zhou, Hongyu
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机构:
Sichuan Univ, West China Hosp, Dept Neurol, Chengdu 610041, Sichuan, Peoples R ChinaGuiyang Med Coll, Affiliated Hosp, Dept Neurol, Guiyang, Peoples R China
Zhou, Hongyu
COCHRANE DATABASE OF SYSTEMATIC REVIEWS,
2013,
(12):
机构:
Shahr E Kord Univ Med Sci, Cellular & Mol Res Ctr, Shahr E Kord, IranShahr E Kord Univ Med Sci, Cellular & Mol Res Ctr, Shahr E Kord, Iran
Beheshti, Masoumeh
Salehi, Zahra
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h-index: 0
机构:
Univ Tehran Med Sci, Sch Med, Dept Immunol, Tehran, IranShahr E Kord Univ Med Sci, Cellular & Mol Res Ctr, Shahr E Kord, Iran
Salehi, Zahra
Abolfazli, Roya
论文数: 0引用数: 0
h-index: 0
机构:
Amir Alam Hosp, Dept Neurol, Tehran, IranShahr E Kord Univ Med Sci, Cellular & Mol Res Ctr, Shahr E Kord, Iran
Abolfazli, Roya
Shirzad, Hedayatolah
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机构:
Shahr E Kord Univ Med Sci, Cellular & Mol Res Ctr, Shahr E Kord, IranShahr E Kord Univ Med Sci, Cellular & Mol Res Ctr, Shahr E Kord, Iran
Shirzad, Hedayatolah
Izad, Maryam
论文数: 0引用数: 0
h-index: 0
机构:
Univ Tehran Med Sci, Sch Med, Dept Immunol, Tehran, Iran
Univ Tehran Med Sci, MS Res Ctr, Neurosci Inst, Tehran, IranShahr E Kord Univ Med Sci, Cellular & Mol Res Ctr, Shahr E Kord, Iran