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Mathematical Biosciences and Engineering (MBE)
 

Volume 14,Number 1,     February 2017

Micro and macro systems in life sciences

1

Preface    Pages : i - i

Avner Friedman,  Mirosław Lachowicz,  Urszula Ledzewicz,  Monika Joanna Piotrowska and Zuzanna Szymanska

 Abstract       Full Text      Related Articles

2

Angiogenesis model with Erlang distributed delays    Pages : 1 - 15

Emad Attia,  Marek Bodnar and Urszula Foryś

 Abstract       References       Full Text      Related Articles

3

A singular limit for an age structured mutation problem    Pages : 17 - 30

Jacek Banasiak and Aleksandra Falkiewicz

 Abstract       References       Full Text      Related Articles

4

On the initial value problem for a class of discrete velocity models    Pages : 31 - 43

Davide Bellandi

 Abstract       References       Full Text      Related Articles

5

On the mathematical modelling of tumor-induced angiogenesis    Pages : 45 - 66

Luis L. Bonilla,  Vincenzo Capasso,  Mariano Alvaro,  Manuel Carretero and Filippo Terragni

 Abstract       References       Full Text      Related Articles

6

Network-based analysis of a small Ebola outbreak    Pages : 67 - 77

Mark G. Burch,  Karly A. Jacobsen,  Joseph H. Tien and Grzegorz A. Rempała

 Abstract       References       Full Text      Related Articles

7

Emergence of spatial patterns in a mathematical model for the co-culture dynamics of epithelial-like and mesenchymal-like cells    Pages : 79 - 93

Marcello Delitala and Tommaso Lorenzi

 Abstract       References       Full Text      Related Articles

8

Controlling imported malaria cases in the United States of America    Pages : 95 - 109

Bassidy Dembele and Abdul-Aziz Yakubu

 Abstract       References       Full Text      Related Articles

9

On application of optimal control to SEIR normalized models: Pros and cons    Pages : 111 - 126

Maria do Rosário de Pinho and Filipa Nunes Nogueira

 Abstract       References       Full Text      Related Articles

10

Many particle approximation of the Aw-Rascle-Zhang second order model for vehicular traffic    Pages : 127 - 141

Marco Di Francesco,  Simone Fagioli and Massimiliano D. Rosini

 Abstract       References       Full Text      Related Articles

11

Mathematical modeling of liver fibrosis    Pages : 143 - 164

Avner Friedman and Wenrui Hao

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12

Estimation of initial functions for systems with delays from discrete measurements    Pages : 165 - 178

Krzysztof Fujarewicz

 Abstract       References       Full Text      Related Articles

13

Numerical simulations of a 3D fluid-structure interaction model for blood flow in an atherosclerotic artery    Pages : 179 - 193

Oualid Kafi,  Nader El Khatib,  Jorge Tiago and Adélia Sequeira

 Abstract       References       Full Text      Related Articles

14

Local controllability and optimal control for a model of combined anticancer therapy with control delays    Pages : 195 - 216

Jerzy Klamka,  Helmut Maurer and Andrzej Swierniak

 Abstract       References       Full Text      Related Articles

15

On drug resistance and metronomic chemotherapy: A mathematical modeling and optimal control approach    Pages : 217 - 235

Urszula Ledzewicz,  Shuo Wang,  Heinz Schättler,  Nicolas André,  Marie Amélie Heng and Eddy Pasquier

 Abstract       References       Full Text      Related Articles

16

Newton's method for nonlinear stochastic wave equations driven by one-dimensional Brownian motion    Pages : 237 - 248

Henryk Leszczyński and Monika Wrzosek

 Abstract       References       Full Text      Related Articles

17

Spatio-temporal models of synthetic genetic oscillators    Pages : 249 - 262

Cicely K. Macnamara and Mark A. J. Chaplain

 Abstract       References       Full Text      Related Articles

18

Sufficient optimality conditions for a class of epidemic problems with control on the boundary    Pages : 263 - 275

Alicja Miniak-Górecka and Andrzej Nowakowski

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19

A criterion of collective behavior of bacteria    Pages : 277 - 287

Roman Czapla and Vladimir V. Mityushev

 Abstract       References       Full Text      Related Articles

20

On a mathematical model of bone marrow metastatic niche    Pages : 289 - 304

Ana Isabel Muñoz and J. Ignacio Tello

 Abstract       References       Full Text      Related Articles

21

The role of TNF-$\alpha$ inhibitor in glioma virotherapy: A mathematical model    Pages : 305 - 319

Elzbieta Ratajczyk,  Urszula Ledzewicz,  Maciej Leszczynski and Avner Friedman

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22

Optimal control of a tuberculosis model with state and control delays    Pages : 321 - 337

Cristiana J. Silva,  Helmut Maurer and Delfim F. M. Torres

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23

A male-female mathematical model of human papillomavirus (HPV) in African American population    Pages : 339 - 358

Najat Ziyadi

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