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Trends in Biomathematics: Mathematical Modeling for Health, Harvesting, and Population Dynamics

Selected works presented at the BIOMAT Consortium Lectures, Morocco 2018

  • Book
  • © 2019

Overview

Editors:
  1. Rubem P. Mondaini

    1. Federal University of Rio de Janeiro, President, BIOMAT Consortium – International Institute for Interdisciplinary Sciences, Rio de Janeiro, Brazil

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  • Includes papers on mathematical modeling of diseases, epidemics, and infections like hepatitis B, HIV, Chikungunya and Ebola
  • Promotes a truly interdisciplinary exchange of results and techniques in mathematical biology
  • Brings together peer-reviewed papers by authors from 17 countries

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Table of contents (25 chapters)

  1. Front Matter

    Pages i-xi
    Download chapter PDF

  2. Mathematical Modeling of Thrombin Generation and Wave Propagation: From Simple to Complex Models and Backwards

    • Alexey Tokarev, Nicolas Ratto, Vitaly Volpert
    Pages 1-22

  3. Optimal Control of a Delayed Hepatitis B Viral Infection Model with DNA-Containing Capsids and Cure Rate

    • Adil Meskaf, Karam Allali
    Pages 23-33

  4. Dynamics of a Generalized Model for Ebola Virus Disease

    • Zineb El Rhoubari, Hajar Besbassi, Khalid Hattaf, Noura Yousfi
    Pages 35-46

  5. Bifurcations in a Mathematical Model for Study of the Human Population and Natural Resource Exploitation

    • I. M. Cholo Camargo, G. Olivar Tost, I. Dikariev
    Pages 47-58

  6. Mathematical Analysis of the Dynamics of HIV Infection with CTL Immune Response and Cure Rate

    • Sanaa Harroudi, Karam Allali
    Pages 59-70

  7. Qualitative Analysis of a PDE Model of Telomere Loss in a Proliferating Cell Population in the Light of Suns and Stars

    • Y. Elalaoui, L. Alaoui
    Pages 71-85

  8. The Threshold of a Stochastic SIQR Epidemic Model with Lévy Jumps

    • Driss Kiouach, Yassine Sabbar
    Pages 87-105

  9. Global Dynamics of a Generalized Chikungunya Virus

    • Hajar Besbassi, Zineb El Rhoubari, Khalid Hattaf, Noura Yousfi
    Pages 107-117

  10. Differential Game Model for Sustainability Multi-Fishery

    • Nadia Raissi, Chata Sanogo, Mustapha Serhani
    Pages 119-137

  11. Towards a Thermostatistics of the Evolution of Protein Domains Through the Formation of Families and Clans

    • Rubem P. Mondaini, Simão C. de Albuquerque Neto
    Pages 139-152

  12. Analysis of Tumor/Effector Cell Dynamics and Decision Support in Therapy

    • S. Sabir, N. Raissi
    Pages 153-164

  13. Optimal Control of an HIV Infection Model with Logistic Growth, CTL Immune Response and Infected Cells in Eclipse Phase

    • Jaouad Danane, Karam Allali
    Pages 165-176

  14. Khinchin–Shannon Generalized Inequalities for “Non-additive” Entropy Measures

    • Rubem P. Mondaini, Simão C. de Albuquerque Neto
    Pages 177-190

  15. Application of the Markov Chains in the Prediction of the Mortality Rates in the Generalized Stochastic Milevsky–Promislov Model

    • Piotr S̀liwka
    Pages 191-208

  16. Modelling the Role of Vector Transmission of Aphid Bacterial Endosymbionts and the Protection Against Parasitoid Wasps

    • Sharon Zytynska, Ezio Venturino
    Pages 209-230

  17. The Incorporation of Fractal Kinetics in the PK Modeling of Chemotherapeutic Drugs with Nonlinear Concentration-Time Profiles

    • Tahmina Akhter, Sivabal Sivaloganathan
    Pages 231-254

  18. Mathematical Modeling of Inflammatory Processes

    • O. Kafi, A. Sequeira
    Pages 255-269

  19. Modeling the Memory and Adaptive Immunity in Viral Infection

    • Adnane Boukhouima, Khalid Hattaf, Noura Yousfi
    Pages 271-297

  20. Optimal Temporary Vaccination Strategies for Epidemic Outbreaks

    • K. Muqbel, A. Dénes, G. Röst
    Pages 299-307
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Keywords

About this book

This volume offers a collection of carefully selected, peer-reviewed papers presented at the BIOMAT 2018 International Symposium, which was held at the University Hassan II, Morocco, from October 29th to November 2nd, 2018. The topics covered include applications of mathematical modeling in hepatitis B, HIV and Chikungunya infections; tumor cell dynamics; inflammatory processes; chemotherapeutic drug effects; and population dynamics. Also discussing the application of techniques like the generalized stochastic Milevsky-Promislov model, numerical simulations and convergence of discrete and continuous models, it is an invaluable resource on interdisciplinary research in mathematical biology for students, researchers, and professionals.


Held every year since 2001, the BIOMAT International Symposium gathers together, in a single conference, researchers from Mathematics, Physics, Biology, and affine fields to promote the interdisciplinary exchange of results, ideasand techniques, promoting truly international cooperation for problem discussion. The 2018 edition of BIOMAT International Symposium received contributions by authors from seventeen countries: Algeria, Brazil, Cameroon, Canada, Chad, Colombia, France, Germany, Hungary, Italy, Mali, Morocco, Nigeria, Poland, Portugal, Russia, and Senegal. Selected papers presented at the 2017 edition of this Symposium were also published by Springer, in the volume “Trends in Biomathematics: Modeling, Optimization and Computational Problems” (978-3-319-91091-8).


Editors and Affiliations

  • Federal University of Rio de Janeiro, President, BIOMAT Consortium – International Institute for Interdisciplinary Sciences, Rio de Janeiro, Brazil

    Rubem P. Mondaini

About the editor

Rubem P. Mondaini is President of the BIOMAT Consortium/International Institute for Interdisciplinary Sciences and a Full Professor of Mathematical Biology and Biological Physics at the Federal University of Rio de Janeiro, Brazil. He holds a PhD in Theoretical Physics from the Brazilian Centre for Physical Research, Brazil.  His research activities abroad include a period as a Visiting Scientist at the International Centre for Theoretical Physics (ICTP), Trieste, Italy (1978) and as a Senior Postdoc at the Department of Mathematics of King's College, University of London, UK (1986).  He was also a Visiting Professor at the Centre of Physics of Condensed Matter, Lisbon, Portugal (1986) and at the Department of Chemical Engineering of Princeton University (2008).  He has been the Chairman of the Annual BIOMAT Conferences since their inception during the BIOMAT 2001 Symposium in Rio de Janeiro, Brazil.

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