Mathematical Biosciences and Engineering

Mathematical Biosciences and Engineering

Mathematical Biosciences and Engineering
Volume 14 · Number 1 · February 2017
ISSN 1547-1063
Guest Editors
Preface . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . i
Emad Attia, Marek Bodnar and Urszula Foryś
Angiogenesis model with Erlang distributed delays . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
Jacek Banasiak and Aleksandra Falkiewicz
A singular limit for an age structured mutation problem . . . . . . . . . . . . . . . . . . . . . . . . . . . 17
Davide Bellandi
On the initial value problem for a class of discrete velocity models . . . . . . . . . . . . . . . . . . 31
Luis L. Bonilla, Vincenzo Capasso, Mariano Alvaro, Manuel Carretero and
Filippo Terragni
On the mathematical modelling of tumor-induced angiogenesis . . . . . . . . . . . . . . . . . . 45
Mark G. Burch, Karly A. Jacobsen, Joseph H. Tien and
Grzegorz A. Rempała
Network-based analysis of a small Ebola outbreak. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 67
Marcello Delitala and Tommaso Lorenzi
Emergence of spatial patterns in a mathematical model for the co-culture
dynamics of epithelial-like and mesenchymal-like cells . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 79
Mathematical Biosciences and Engineering
CONTENTS
Vol. 14 · No. 1 · February 2017
MBE:
Volume 14 · Number 1 · February 2017
ISSN 1547-1063
Electronic ISSN 1551-0018
Special issue on micro and macro systems
in life sciences
n2 at t=0
0.07
0.06
0.05
0.04
0.03
0.02
0.01
n2 at t=133
10
10
5
5
0
0
−5
−5
−10
−10
−10 −5
0
5
10
0.07
0.06
0.05
0.04
0.03
0.02
0.01
−10 −5
n2 at t=267
0.07
0.06
0.04
0.03
0.02
0.01
Maria do Rosário de Pinho and Filipa Nunes Nogueira
On application of optimal control to SEIR normalized models: Pros and cons . . . . . . . 111
10
5
5
0
0
−5
−5
−10
−10
0
5
0
5
10
n2 at t=400
10
−10 −5
10
0.07
0.06
0.05
0.04
0.03
0.02
0.01
−10 −5
0
5
10
Guest Editors: Avner Friedman, Mirosław Lachowicz,
Pages 1-358
(To be continued in the inside cover)
Mathematical Biosciences
and Engineering
0.05
Bassidy Dembele and Abdul-Aziz Yakubu
Controlling imported malaria cases in the United States of America. . . . . . . . . . . . . . . . . 95
Marco Di Francesco, Simone Fagioli and Massimiliano D. Rosini
Many particle approximation of the Aw-Rascle-Zhang second order model for
vehicular traffic. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 127
MBE:
Urszula Ledzewicz, Monika Joanna Piotrowska
and Zuzanna Szymanska
American Institute of Mathematical Sciences
·
Beihang University