1,721,222 research outputs found
From the Guest Editor
Full text linkThe BIOMATH 2012 International Conference on Mathematical Methods and Models in Biosciences was held at the Academy of Sciences in Sofia, Bulgaria, in June 17–22, 2012, http://www.biomath.bg/2012/. We were happy to meet more than 70 participants from twenty different countries. More than 40 contributions were submitted for publication in the present BIOMATH proceedings
The Future of Biomath: Growing Beyond Collaboration
Full text linkBiomathematics as a field has grown substantially over the last 50 years. It has found success in modeling biological phenomena in a variety of areas ranging from ecology to molecular biology [Mackey and Maini, 2015]. Furthermore, the continued development of biomath may be invaluable in understanding current challenges in biology, such as predicting the effects of climate change on different ecosystems. All successful interdisciplinary research depends different types of scientists having the ability to understand and collaborate well with each other. Traditionally, mathematicians are exclusively trained in theoretical systems, while biologists usually work in experimentally driven laboratory settings. As a result, collaboration can lead to miscommunications and fundamental misunderstandings about both the system being studied and the mathematical tools being used. The author argues that until biomath becomes fully integrated into biology such miscommunications cannot be avoided and the field will not reach its full potential
BIOMATH 2013 [Editorial]
No full textThe interdisciplinary nature of biological sciences and medicine, including the important role mathematical, statistical and computational modeling play in the analysis and interpretation of data and information is well recognized. "A mathematical biology research project is no longer guided by the independent spirit of one or two applied mathematicians working on a biological problem. Modern examples show that mathematical biology research is now a team science effort." [1]. The international series of conferences BIOMATH is precisely aimed at providing a meeting forum for scientist from different disciplines and from different countries and continents who develop and apply mathematical and computational tools to study phenomena in the broad fields of life sciences, such as biology, ecology, medicine, biotechnology, bioengineering, and environmental science. BIOMATH is an established conferences series as it follows a tradition of scientific meetings on biomathematics held at the Bulgarian Academy of Sciences (BAS) in Sofia since 1990 [2]. Selected papers from previous conferences are published in volume 32 [3], volume 64 [4] and volume 66 [5] of this journal as well as in [6], [7] and [8]. The 2013 International Conference on Mathematical Methods and Models in Biosciences and School for Young Scientists (BIOMATH 2013) was held in Sofia, 16-21 June 2013. It was supported by several research units of the Bulgarian Academy of Sciences, three Bulgarian Universities, the Union of Bulgarian Mathematicians and the European Society for Mathematical and Theoretical Biology (ESMTB). A special session at the conference was dedicated to Svetoslav Markov, on the occasion of his 70th anniversary. Prof. S. Markov is a founder of the biomathematics meetings in Bulgaria and an enthusiastic supporter of the BIOMATH series of conferences. The conference attracted participants from four continents and over 20 countries. A Sign of Honour of the Bulgarian Academy of Sciences was awarded to Prof. J.M.-S. Lubuma from University of Pretoria, South Africa, for his contribution to the development and strengthening of the research collaboration between the Bulgarian Academy of Sciences and the University of Pretoria and in particular for his contribution to the organization of the international conference series BIOMATH. The scientific programme of BIOMATH 2013 comprised about 75 presentations [9]. This special issue contains a selection of 14 scientific papers focused on mathematical, numerical and computational tools with particular attention on differential equation models and their numerical analysis (finite difference method, finite element method). All papers have been subjected to the usual peer-review process of the journal based on the reports of at least two independent anonymous reviewers. It is of note that three of the papers in this issue are based on talks awarded Best Presentation by Young Scientists Prizes at the conference. These are A. Bellouquid, M. CH-Chaoui, Asymptotic analysis of a nonlinear integro-differential system modeling the immune response. G. Chamoun, M. Saad, R. Talhouk, A coupled anisotropic chamotaxis-fluid model: the case of two-sidely degenerate diffusion. M. Ibrahim, M. Saad, On the efficacy of a control volume finite element method for the capture of patterns for a volume-filling chemotaxis model. (Texte intégral
In Memoriam: Antony Popov (1962-2012)
Full text linkWe are deeply saddened by the sudden death at the age of 49 of our colleague Associate Professor Dr. Antony Popov, member of the Department ”Information Technologies”, Faculty of Mathematics and Informatics, Sofia University. Tony was a very good mathematician, specializing in the area of Pattern Recognition. . .
More than Skew: Asymmetric Wave Propagation in a Reaction-Diffusion-Convection System
Full text linkConvection-induced instability in reaction-diffusion systems produces complicated patterns of oscillations behind propagating wavefronts. We transform the system twice: into lambda-omega form, then into polar variables. We find analytical estimates for the wavefront speed which we confirm numerically.Our previous work examined a simpler system [E. H. Flach, S. Schnell, and J. Norbury, Phys. Rev. E 76, 036216 (2007)]; the onset of instability is qualitatively different in numerical solutions of this system. We modify our estimates and connect the two different behaviours. Our estimate explains how the Turing instability fits with pattern found in reaction-diffusion-convection systems. Our results can have important applications to the pattern formation analysis of biological systems
A generic modelling of fire impact in a tree-grass savanna model
Full text linkInternational audienceWe propose and study a model for tree-grass interactions in the context of savannas which are subjected to fire pressure. Several theoretical models in the literature which have highlighted the impact of fire on tree-grass interactions did not explicitly deal with the indirect feedback of dry grass biomass onto tree dynamics through fire intensity and frequency. The novelty in our work is to consider a fairly generic modeling of fire impact on woody biomass by means of a family of increasing and bounded functions of grass biomass. The characteristic feature of this family of functions is that, it could include several forms: linear as well as non-linear ones (sigmoidal or not). Since the nonlinear shape brings more diverse results than the previous attempts using a linear function, it could be used to show that several vegetation equilibria exist with some of them showing tree-grass coexistence features.We show that the number of equilibria with both grass and trees depends on the choice of the fire impact function. We also established thresholds defining the stability domains of the equilibria and highlighted some bifurcation parameters to provide numerical simulations complying with the theoretical properties of the model
Mathematical analysis of a modified Keller-Segel model with general diffusive tensors.
No full textInternational audienc
Some mathematical tools for modelling malaria : a subjective survey
Full text linkIn this paper, we provide a brief survey of mathematical modelling of malaria and how it is used to understand the transmission and progression of the disease and design strategies for its control to support public health interventions and decisionmaking. We discuss some of the past and present contributions of mathematical modelling of malaria, including the recent development of modelling the transmission-blocking drugs. We also comment on the complexity of the malaria dynamics and, in particular, on its multiscale character with its challenges and opportunities. We illustrate the discussion by presenting a curve fitting using a 95% confidence interval for the South African data for malaria from the years 2001-2018 and provide projections for the number of malaria cases and deaths up to the year 2025.The DST/NRF SARChI Chair in Mathematical Models and Methods in Biosciences and Bioengineering at the University of Pretoria.http://www.biomathforum.org/biomath/index.php/biomatham2022Mathematics and Applied Mathematic
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