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

1. Front Matter

   Pages i-xi

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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

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).

• biomathematics
• BIOMAT
• time-frequency analysis
• evolutionary adaptation
• delay linear chains
• Edge Based Compartmental Model
• EBCM
• epidemic models
• delay differential equation
• prey-predator model
• diffusion-reaction model
• ordinary differential equations
• partial differential equations

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

  Rubem P. Mondaini

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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