# Mathematical Biosciences and Engineering

### Mathematical Biosciences and Engineering

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School of Mathematical and Statistical Sciences, Arizona State University, Tempe, AZ 85287, USA |

Department of Mathematics, The University of Miami, Coral Gables, Florida 33124, USA |

**Advisory Editors**

Center for Research in Scientific Computation, North Carolina State U., Raleigh, NC, 27695-8205, USA | |

Mathematical Biosciences Institute, The Ohio State University, Columbus, Ohio 43210, USA | |

Dept. of Microbiology and Immunology, University of Michigan Medical School, Ann Arbor, Michigan 48109-5260, USA | |

Department of Ecology and Evolutionary Biology Princeton University, Princeton, NJ 08544-1003, USA | |

Centre for Mathematical Biology, Mathematical Institute, 24-29 St Giles', Oxford OX1 3LB, UK | |

School of Mathematical and Statistical Sciences, Arizona State University, Tempe, AZ 85287, USA | |

Mathematics Department, Vanderbilt University, 1326 Stevenson Center, Nashville, TN 37240-0001, USA | |

School of Science, Beihang University, Beijing 100083, China |

**Associate Editors**

Department of Mathematics, University of Louisiana at Lafayette, Lafayette, Louisiana 70504, USA | |

Department of Chemical and Process Engineering, Faculty of Engineering and Physical Sciences, University of Surrey, UK | |

Department of Mathematics, 420 Machray Hall, University of Manitoba, Winnipeg, Manitoba, R3T 2N2, Canada | |

Department of Mathematics, University of Iowa, Iowa City, IA 52242-1419, USA | |

Inria Bordeaux Sud-Ouest, team MONC and Institut de Mathématiques de Bordeaux, France | |

Applied Mathematics, University of Colorado, Box 526, Boulder, CO 80309-0526, USA | |

Department of Mathematics, University of Louisiana at Lafayette, USA | |

Department of Civil and Environmental Engineering, Tokyo Institute of Technology, 2-12-1-W8-22, Ookayama, Meguro-ku, Tokyo, 152-8552, Japan | |

Department of Mathematics, The University of Miami, Coral Gables, Florida 33124, USA | |

School of Mathematical and Statistical Sciences, Arizona State University, Tempe, AZ 85287, USA | |

Laboratory Reactions and Process Engineering / ENSIC / University of Lorraine, Nancy, France | |

Department of Mathematics, The Ohio State University, Columbus, OH 43210, USA | |

School of Public Health, Georgia State University, 1 Park Place, Suite 662 Office 640B, Atlanta, GA 30303, USA | |

School of Mathematical Sciences, University of Nottingham, UK | |

School of Mathematical and Statistical Sciences, Arizona State University, Tempe, AZ 85287, USA | |

Department of Mathematics and Statistics, Department of Biology, Queen’s University | |

Department of Physics & Astronomy, College of Arts and Sciences, Georgia State University (GSU), USA | |

Fred Hutchinson Cancer Research Center, M2-C200 P.O. Box 19024, Seattle, Washington 98109-1024, USA | |

College of Medicine, Mayo Clinic, USA | |

Department of Biostatistics, University of Copenhagen, Copenhagen, Denmark | |

Université Le Havre Normandie, UFR Sciences & Technologies, 25, rue Philippe Lebon, 76063, BP 1123, Le Havre cedex, France | |

Department of Mathematics and Statistics, University of Guelph, Guelph, On, N1G 2W1, Canada | |

School of Science and Engineering, University of Dundee, United Kingdom | |

Department of Mathematics, The College of Saint Rose, 432 Western Ave, Albany, NY 12203, USA | |

School of Mathematics and Statistics, Northeast Normal University, 5268 Renmin Street, Changchun, Jilin, 130024, P. R. China | |

The University of Texas at San Antonio, USA | |

School of Mathematics and Statistics , University of Sheffield, UK | |

Department of Mathematical Sciences, The University of South Dakota, 414 East Clark St, Vermillion, SD 57069. USA | |

Department of Mathematics, North Carolina State University, Raleigh, NC 27695-8205, USA | |

Department of Industrial Engineering, University of Padova, Italy | |

School of Mathematics, University of Minnesota-Twin Cities, Minneapolis, MN 55455, USA | |

Department of Mathematics, Shanghai Normal University, Shanghai 200234, China | |

Department of Computer Science, University of Otago (NZ), New Zealand | |

Mathematical Sciences, Chalmers University of Technology and University of Gothenburg, Sweden | |

Department of Mathematics and Statistics, Swarthmore College, Swarthmore, PA, USA | |

Instituto de Filosofía y Ciencias de la Complejidad, Los Alerces 3024, Ñuñoa, Santiago, Chile | |

Department of Mathematics and Statistics, University of Surrey, Guildford, Surrey, GU2 5XH, UK | |

Department of Mathematics, University of Manitoba, Winnipeg, Manitoba, R3G 2N2, Canada | |

Department of Systems Immunology and Braunschweig Integrated Centre of Systems Biology (BRICS), Helmholtz Centre for Infection Research, Braunschweig, Germany | |

Department of Applied Mathematics, The Hong Kong Polytechnic University, Hong Kong, China | |

Applied Mathematics, School of Science, RMIT University, GPO Box 2476, MELBOURNE 3001, Australia | |

Centre for Disease Modelling, Department of Mathematics & Statistics, York University, Canada | |

Department of Mathematical Sciences, University of Wisconsin – Milwaukee, WI, USA | |

Department of Mathematics, College of Arts and Sciences, Case Western Reserve University, USA | |

School of Mathematics, Georgia Institute of Technology, Atlanta, GA 30332, USA | |

Department of Mathematics and Statistics, York University, 4700 Keele Street, Toronto,Ontario, Canada | |

Department of Mathematical Sciences, University of Alabama in Huntsville, Huntsville, Alabama 35899, USA | |

Faculty of Science, Engineering and Technology Swinburne University of Technology, Hawthorn, VIC 3122, Australia | |

School of Life Science & Technology, Xi'an Jiaotong University, Xi’an, China | |

Mathematics Department, Tulane University, 6823 St. Charles Ave, New Orleans, LA 70118, USA | |

School of Engineering and Sciences, Tecnológico de Monterrey, Mexico | |

Department of Mathematics, Florida State University, Tallahassee, FL, USA | |

Department of Biostatistics, University of Michigan, USA | |

School of Mechanical Science and Engineering, Huazhong University of Science and Technology (HUST), Wuhan, China | |

Department of Mathematics & Statistics, Georgia State University, Atlanta, Georgia 30303-3083, USA | |

Department of Applied and Computational Mathematics and Statistics, University of Notre Dame, South Bend, USA | |

School of Mathematical Sciences, University College Dublin, Belfield, Dublin 4, Ireland | |

T-6 Theoretical Biology and Biophysics, Los Alamos National Laboratory,Los Alamos, NM87545, USA | |

School of Mathematics and Statistics, University of Sydney NSW 2006, Australia | |

Department of Mathematics, Konkuk University, Seoul, 143-701, Republic of Korea | |

Department of Mathematical Sciences, KAIST, 291 Daehak-ro, Yuseong-gu, Daejeon 34141, Korea | |

Centre de Recerca Matemàtica, Campus de Bellaterra, Edifici C 08193 Bellaterra, Barcelona, Spain | |

Dept. of Mathematics, University of Texas at Arlington, Arlington, TX 76019-0408, USA | |

University of Minnesota, Twin Cities Campus, Minneapolis, MN, USA | |

Dept. of Mathematics and Statistics, Southern Illinois University at Edwardsville, Edwardsville, Il 62025-1653, USA | |

Department of Mathematics, Oregon State University, Corvallis, OR 97331, USA | |

Zhou Pei-Yuan Center for Applied Mathematics, Tsinghua University, Bejing, China | |

Dept. of Mathematical Sciences, University of Alabama in Huntsville, Huntsville, AL 35899, USA | |

Department of Mathematical Sciences, University of Alberta, Canada | |

Center for Mathematical Science, Huazhong University of Science and Technology, Wuhan, China | |

NSW Department of Primary Industries, Wagga Wagga Agricultural Institute, Wagga Wagga, NSW 2650, Australia | |

School of Mathematical Sciences, Tiangong University, Tianjin 300387, China | |

Department of Mathematics, University of South Carolina, 1523 Greene Street, Columbia, SC 29208, USA | |

Biomathematics Graduate Program and Department of Mathematics, North Carolina State University, Raleigh, NC 27695-8213, USA | |

Department of Applied Mathematics, The Hong Kong Polytechnic University, Hong Kong, China | |

Dept. of Mathematics, Ohio State University, Columbus, Ohio 43210, USA | |

Department of Mathematics and Statistics, University of Ottawa, 150 Louis-Pasteur, Ottawa, ON, K1N 6N5, Canada | |

Department of Mathematics, Loyola Marymount University, Los Angeles, CA, 90045, USA | |

Institut de Mathématiques de Bordeaux, UMR CNRS 5251 - Case 36, Université Victor Segalen Bordeaux 2, 3ter place de la Victoire 33076 Bordeaux Cedex, France | |

Department of Chemistry, Materials and Chemical Engineering “Giulio Natta” Politecnico di Milano, Italy | |

Applied Mathematics, Faculty of Mathematics and Computer Sciences, Heidelberg University, Germany | |

Department of Mathematics, University of Tennessee, 202 Ayres Hall, 1403 Circle Drive, Knoxville, TN 37996-1320, USA | |

Centre for Mathematics Applied to Life Sciences (CMALS) University of Glasgow, UK | |

Department of Bioinformatics at Institute of Microbiology and Genetics, University of Gottingen, Germany | |

School of Mathematics, University of Minnesota, MN 55455, USA | |

Dept. of Mathematics, University of California, Irvine, Irvine, CA 92697, USA | |

Department of Mathematics, North Carolina State University, Raleigh, NC 27695, USA | |

IMT School for Advanced Studies Lucca, Piazza San Francesco 19, 55100 Lucca, Italy | |

Department of Mathematics and Maxwell Institute for Mathematical Sciences, School of Mathematical and Computer Sciences, Heriot-Watt University, Edinburgh, UK | |

Mathematical Sciences Department, University of Alabama in Huntsville,Huntsville, AL 35899, USA | |

Department of Mathematics, University of Leicester, Leicester, LE1 7RH, England, UK | |

Department of Mathematics, University of Florida, Gainesville, FL 32611-8105, USA | |

Nalecz Institute of Biocybernetics and Biomedical Engineering Polish Academy of Sciences, Warsaw, Poland | |

Department of Mathematics, College of Science, Swansea University, UK | |

Chair of Computational Mechanics, Bauhaus University Weimar, Marienstrasse 15, 99423 Weimar, Germany | |

Department of Mathematics, Pomona College, Claremont CA 91711, USA | |

Department of Mathematics and Applied Mathematics, Virginia Commonwealth University, USA | |

Division of Mathematical Oncology, Beckman Research Institute, City Of Hope, Duarte, CA | |

Computational BioMedicine Lab, Centenary Institute, The University of Sydney, Australia | |

Department of Mathematics and Computer Science, Western Kentucky University, United States | |

Department of Mathematical & Statistical Sciences, University of Alberta, Alberta, Canada | |

Department of Pediatrics, Institute for the Study of Host Pathogen Systems, University of Tennessee Health Science Center, Memphis, TN, USA | |

Universidade Federal Fluminense, Brazil | |

Department of Mathematics and Statistics, University of Victoria, Victoria, British Columbia V8W 3R4, Canada | |

Zhongshan School of Medicien & School of Mathematics, Sun Yat-sen University, Guangzhou, China | |

Dept. of Systems Engineering, Shizuoka University, Hamamatsu, Shizuoka 432-8561, Japan | |

Department of Mathematics, Michigan State University, East Lansing, MI 48824, USA | |

School of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710062, China | |

School of Biological and Health Systems Engineering, Arizona State University, Tempe, AZ., 85287-9709, USA | |

Department of Mathematics and Computer Science, University of Catania, Viale Andrea Doria, 6, 95125 Catania, Italy | |

Department of Mathematics, University of Leicester, UK | |

Department of Mathematics, University of Leicester, UK | |

Department of Natural Science in the Center for General Education, Chang Gung University, Taoyuan 333, Taiwan | |

Division of Mathematical & Natural Sciences, Arizona State University, Phoenix, AZ 85069, USA | |

Department of Mathematical and Statistical Sciences, University of Alberta Edmonton, AB T6G 2G1, Canada | |

School of Science, Beijing Jiaotong University, Beijing 100044, P. R. China | |

School of Biological and Health Systems Engineering, Arizona State University, Tempe, AZ 85287, USA | |

School of Mathematical Science, University of Science and Technology of China, Hefei, Anhui, 230026, China | |

School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu 730000, China | |

Department of Mathematics and Statistics, University of New Brunswick, P.O.Box 4400, Fredericton, N.B., Canada | |

Department of Mathematics and Statistics, McMaster University, Hamilton, Ontario, Canada | |

Dept. of Mathematics and Statistics, York University, 4700 Keele Street, Toronto, ON M3J 1P3, Canada | |

Department of Mathematics, The Ohio State University, USA | |

Center for Systems Biology, Soochow University, Room-101, Wegetang, No1. Shizi street, SuzhouJiangsu 215006, China | |

Department of Information Management, National Chi Nan University, Taiwan | |

Harvard Medical School, Boston, MA, USA | |

Academy of Mathematics and Systems Science, Chinese Academy of Science, Beijing 100190, China | |

Faculty of Science, Engineering and Technology, Swinburne Universityof Technology, John Street, Hawthorn, Victoria 3122 Australia | |

Institute of Natural Sciences & School of Mathematical Sciences, Shanghai Jiao Tong University, Shanghai, 200240 China | |

Department of Applied Mathematics, University of Western Ontario, London, ON., N6A 5B7, Canada |