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Trends in Biomathematics: Modeling Cells, Flows, Epidemics, and the Environment

Selected Works from the BIOMAT Consortium Lectures, Szeged, Hungary, 2019

  • Book
  • © 2020

Overview

Editors:
  1. Rubem P. Mondaini

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

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  • Gathers together papers on dynamics of co-infections, tumor growth, cell interaction, and related topics

  • Brings a multidimensional approach to models via techniques like time-frequency analysis and EBCM

  • Follows the tradition of previous BIOMAT volumes to foster true interdisciplinary research

Included in the following conference series:

Conference proceedings info: BIOMAT 2019.

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Table of contents (25 chapters)

  1. Front Matter

    Pages i-xi
    Download chapter PDF

  2. Evolutionary Adaptation of the Permanent Replicator System

    • A. S. Bratus, S. Drozhzhin, T. Yakushkina
    Pages 1-7

  3. A More Realistic Formulation of Herd Behavior for Interacting Populations

    • D. Borgogni, L. Losero, E. Venturino
    Pages 9-21

  4. On Network Similarities and Their Applications

    • I. Granata, M. R. Guarracino, L. Maddalena, I. Manipur, P. M. Pardalos
    Pages 23-41

  5. Impacts of Infections and Predation on Dynamics of Sexually Reproducing Populations

    • Luděk Berec
    Pages 43-70

  6. Global Analysis of a Cancer Model with Drug Resistance Due to Microvesicle Transfer

    • Attila Dénes, Gergely Röst
    Pages 71-80

  7. Contact Vaccination Study Using Edge Based Compartmental Model (EBCM) and Stochastic Simulation: An Application to Oral Poliovirus Vaccine (OPV)

    • Coura Balde, Mountaga Lam, Samuel Bowong
    Pages 81-96

  8. The Effect of Inhibitory Neurons on a Class of Neural Networks

    • Márton Neogrády-Kiss, Péter L. Simon
    Pages 97-109

  9. Pipette Hunter 3D: Fluorescent Micropipette Detection

    • D. Hirling, K. Koos, J. Molnár, P. Horvath
    Pages 111-125

  10. Delay Linear Chains in Mathematical Biology: Migratory Birds, Stem Cell Maturation, and Intracellular Chlamydia Infection

    • Bornali Das, Gergely Röst
    Pages 127-142

  11. Normalization of a Periodic Delay in a Delay Differential Equation

    • K. Nah, J. Wu
    Pages 143-152

  12. Competition Between Two Tufted C4 Grasses: A Mathematical Model

    • D. I. Wallace
    Pages 153-160

  13. Mathematical Description of Systemic and Micro Circulations

    • V. V. Kislukhin, E. V. Kislukhina
    Pages 161-168

  14. The Statistical Analysis of Protein Domain Family Distributions via Jaccard Entropy Measures

    • R. P. Mondaini, S. C. de Albuquerque Neto
    Pages 169-207

  15. Theoretical and Numerical Considerations of the Assumptions Behind Triple Closures in Epidemic Models on Networks

    • Nicos Georgiou, István Z. Kiss, P. L. Simon
    Pages 209-234

  16. Recognition of Protein Interaction Regions Through Time-Frequency Analysis

    • A. F. Arenas, G. E. Salcedo, M. D. Garcia, N. Arango
    Pages 235-244

  17. Using a Stochastic SIR Model to Design Optimal Vaccination Campaigns via Multiobjective Optimization

    • A. C. S. Dusse, R. T. N. Cardoso
    Pages 245-258

  18. Optimal Control Analysis of HIV-TB Co-infection Model

    • Tanvi, Rajiv Aggarwal
    Pages 259-273

  19. A Prey–Predator Model with Pathogen Infection on Predator Population

    • Sanchayita Pramanick, Joydeb Bhattacharyya, Samares Pal
    Pages 275-297

  20. On an Invasive Species Model with Harvesting

    • Sándor Kovács, Szilvia György, Noémi Gyúró
    Pages 299-334
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Keywords

About this book

This volume offers a collection of carefully selected, peer-reviewed papers presented at the BIOMAT 2019 International Symposium, which was held at the University of Szeged, Bolyai Institute and the Hungarian Academy of Sciences, Hungary, October 21st-25th, 2019. The topics covered in this volume include tumor and infection modeling; dynamics of co-infections; epidemic models on networks; aspects of blood circulation modeling; multidimensional modeling approach via time-frequency analysis and Edge Based Compartmental Model; and more. This book builds upon the tradition of the previous BIOMAT volumes to foster 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, ideas and techniques, promoting truly international cooperation for problem discussion. The 2019 edition of BIOMAT International Symposium received contributions by authors from 14 countries: Brazil, Cameroon, Canada, Colombia, Czech Republic, Finland, Hungary, India, Italy, Russia, Senegal, Serbia, United Kingdom and the USA. Selected papers presented at the 2017 and 2018 editions of this Symposium were also published by Springer, in the volumes "Trends in Biomathematics: Modeling, Optimization and Computational Problems" (978-3-319-91091-8) and "Trends in Biomathematics: Mathematical Modeling for Health, Harvesting, and Population Dynamics" (978-3-030-23432-4).

Editors and Affiliations

  • 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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