A cellular automata model of Ebola virus dynamics

被引：14

作者：

Burkhead, Emily ^{[1
]}

Hawkins, Jane ^{[2
]}

机构：

[1] Meredith Coll, Dept Math & Comp Sci, Raleigh, NC USA

[2] Univ N Carolina, Dept Math, Chapel Hill, NC 27599 USA

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2015年 / 438卷

关键词：

Ebola; Cellular automata; Virus spread; HIV-INFECTION;

D O I：

10.1016/j.physa.2015.06.049

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We construct a stochastic cellular automaton (SCA) model for the spread of the Ebola virus (EBOV). We make substantial modifications to an existing SCA model used for HIV, introduced by others and studied by the authors. We give a rigorous analysis of the similarities between models due to the spread of virus and the typical immune response to it, and the differences which reflect the drastically different timing of the course of EBOV. We demonstrate output from the model and compare it with clinical data. (C) 2015 Elsevier B.V. All rights reserved.

引用

页码：424 / 435

页数：12

共 17 条

[1]

[Anonymous], 1969, MATH SYST THEORY, DOI DOI 10.1007/BF01691062

[2] Ebola Virus Disease in West Africa - The First 9 Months of the Epidemic and Forward Projections [J].

Aylward, Bruce ;

Barboza, Philippe ;

Bawo, Luke ;

Bertherat, Eric ;

Bilivogui, Pepe ;

Blake, Isobel ;

Brennan, Rick ;

Briand, Sylvie ;

Chakauya, Jethro Magwati ;

Chitala, Kennedy ;

Conteh, Roland M. ;

Cori, Anne ;

Croisier, Alice ;

Dangou, Jean-Marie ;

Diallo, Boubacar ;

Donnelly, Christl A. ;

Dye, Christopher ;

Eckmanns, Tim ;

Ferguson, Neil M. ;

Formenty, Pierre ;

Fuhrer, Caroline ;

Fukuda, Keiji ;

Garske, Tini ;

Gasasira, Alex ;

Gbanyan, Stephen ;

Graaff, Peter ;

Heleze, Emmanuel ;

Jambai, Amara ;

Jombart, Thibaut ;

Kasolo, Francis ;

Kadiobo, Albert Mbule ;

Keita, Sakoba ;

Kertesz, Daniel ;

Kone, Moussa ;

Lane, Chris ;

Markoff, Jered ;

Massaquoi, Moses ;

Mills, Harriet ;

Mulba, John Mike ;

Musa, Emmanuel ;

Myhre, Joel ;

Nasidi, Abdusalam ;

Nilles, Eric ;

Nouvellet, Pierre ;

Nshimirimana, Deo ;

Nuttall, Isabelle ;

Nyenswah, Tolbert ;

Olu, Olushayo ;

Pendergast, Scott ;

Perea, William .

NEW ENGLAND JOURNAL OF MEDICINE, 2014, 371 (16) :1481-1495

[3]

Becker Y., 1996, VIRUS GENES, V11, P191

[4] A Dynamical Study of a Cellular Automata Model of the Spread of HIV in a Lymph Node [J].

Burkhead, E. G. ;

Hawkins, J. M. ;

Molinek, D. K. .

BULLETIN OF MATHEMATICAL BIOLOGY, 2009, 71 (01) :25-74

[5]

Burkhead E. G., 2006, TOPOLOGY P, V30, P197

[6] Dynamics of HIV infection: A cellular automata approach [J].

dos Santos, RMZ ;

Coutinho, S .

PHYSICAL REVIEW LETTERS, 2001, 87 (16) :1-168102

[7]

Fink S., 2015, NY TIMES, pA6

[8]

Goeijenbier M, 2014, NETH J MED, V72, P442

[9] Cellular automata approach for the dynamics of HIV infection under antiretroviral therapies: The role of the virus diffusion [J].

Gonzalez, Ramon E. R. ;

de Figueiredo, Pedro Hugo ;

Coutinho, Sergio .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2013, 392 (19) :4717-4725

[10] Dynamics of the HIV infection under antiretroviral therapy: A cellular automata approach [J].

Gonzalez, Ramon E. R. ;

Coutinho, Sergio ;

Zorzenon dos Santos, Rita Maria ;

de Figueiredo, Pedro Hugo .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2013, 392 (19) :4701-4716

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