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

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, ideas and 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).

Auteur
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.

Contenu

Mathematical modeling of Thrombin generation and wave propagation: From simple to complex models and backwards.- Optimal control of delayed Hepatitis B viral infection model with DNA-Containing capsids and cure rate.- Dynamics of a generalized model for Ebola virus disease.- Bifurcations in a mathematical model for study of the human population and natural resource exploitation.- Mathematical analysis of the dynamics of HIV infection with CTL immune response and cure rate.- Qualitative analysis of a PDE model of Telomere loss in a proliferating cell population in the light of suns and stars.- The threshold of a stochastic SiQR epidemic model with Lvy jumps.- Global dynamics of a generalized Chikungunya virus.- Differential game model for sustainability of multi-fishery.- Towards a thermostatistics of the evolution of protein domains through the formation of Families and Clans.- Analysis of Tumor/Effector cell dynamics and decision support in therapy.- Optimal control of an HIV infection model with logistic growth, CTL immune response and infected cells in eclipse phase.- Khinchin-Shannon generalized inequalities for non-additive entropy measures.- Application of the Markov chains in the prediction of the mortality rates in the generalized stochastic Milevsky-Promislov model.- Modelling the role of vector transmission of Aphid Bacterial Endosymbionts and the protection against parasitoid wasps.- The incorporation of fractal kinetics in the PK modeling of chemotherapeutic drugs with non-linear concentration time profiles.- Mathematical modeling of inflammatory processes.- Modeling the memory and adaptive immunity in viral infection.- Optimal temporary vaccination strategies for epidemic outbreaks.- On the reproduction number of epidemics with sub-exponential growth.- Numerical simulations for cardiac electrophysiology problems.- Hopf bifurcations in a delayed herd harvesting model and herbivory optimization hypothesis.- A fractional order model for HBV infection with capsids and cure rate.- Modelling anaerobic digestion using stochastic approaches.- Alzheimer disease: Convergence result from a discrete Model towards a continuous one.