Search results for "Mathematica"
showing 10 items of 7971 documents
Students' understanding of mathematical models in three norwegian biology courses
2018
International audience; Development in Biology over the last three decades have greatly increased the need for using mathematics in this field. This has influenced biology students which need to develop mathematical knowledge to be able to work with contemporary biology models, including frameworks that are applicable in analyzing the overwhelming flow of biological data (i.e. Labov, Reid & Yamamoto, 2010). Although a quantitative approach is often used in university biology courses, yet they remain largely qualitative and descriptive (Nelson, et. al., 2009). In Norwegian context, where this study will be conducted, there is an increased awareness towards mathematics from the Departments of…
Mathematics Skills of Kosovar Primary School Children: A Special View on Children with Mathematical Learning Difficulties
2018
The present study examined the development of mathematics skills of Kosovar primary school children in terms of their gender, living area, socio-economic status, and achievement level. A special emphasis was placed on longitudinal investigations of the development of mathemat-ics skills in children with learning difficulties in mathematics over a 2-year and 4-month period. Participants were 553 fourth-graders, 85 of whom identified with mathematical learning difficulties were classified into two subgroups: children with low mathematics achievement and children with limited mathematics ability. Results have shown that there were no gender differences in mathematics achievement. Children’s li…
Opinion dynamics, stubbornness and mean-field games
2014
This paper studies opinion dynamics and stubbornness using mean-field game theory. Assuming an initial exponential density function and affine control policies we analyze under what conditions the Fokker-Planck equation returns an exponential density function over the horizon. Consensus and clusters formation are also studied.
Robustness of asymmetry and coherence of quantum states
2016
Quantum states may exhibit asymmetry with respect to the action of a given group. Such an asymmetry of states can be considered as a resource in applications such as quantum metrology, and it is a concept that encompasses quantum coherence as a special case. We introduce explicitly and study the robustness of asymmetry, a quantifier of asymmetry of states that we prove to have many attractive properties, including efficient numerical computability via semidefinite programming, and an operational interpretation in a channel discrimination context. We also introduce the notion of asymmetry witnesses, whose measurement in a laboratory detects the presence of asymmetry. We prove that properly c…
Analysis of a viscoelastic phase separation model
2020
A new model for viscoelastic phase separation is proposed, based on a systematically derived conservative two-fluid model. Dissipative effects are included by phenomenological viscoelastic terms. By construction, the model is consistent with the second law of thermodynamics, and we study well-posedness of the model, i.e., existence of weak solutions, a weak-strong uniqueness principle, and stability with respect to perturbations, which are proven by means of relative energy estimates. A good qualitative agreement with mesoscopic simulations is observed in numerical tests.
An operatorial approach to stock markets
2009
We propose and discuss some toy models of stock markets using the same operatorial approach adopted in quantum mechanics. Our models are suggested by the discrete nature of the number of shares and of the cash which are exchanged in a real market, and by the existence of conserved quantities, like the total number of shares or some linear combination of cash and shares. The same framework as the one used in the description of a gas of interacting bosons is adopted.
Data from: Theoretical conditions for the coexistence of viral strains with differences in phenotypic traits: a bifurcation analysis
2018
We investigate the dynamics of a wild-type viral strain which generates mutant strains differing in phenotypic properties for infectivity, virulence, and mutation rates. We study, by means of a mathematical model and bifurcation analysis, conditions under which the wild-type and mutant viruses, which compete for the same host cells, can coexist. The coexistence conditions are formulated in terms of the basic reproductive numbers of the strains, a maximum value of the mutation rate, and the virulence of the pathogens. The analysis reveals that parameter space can be divided into five regions, each with distinct dynamics, that are organised around degenerate Bogdanov-Takens and zero-Hopf bifu…
Mechanistic Modeling and Multiscale Applications for Precision Medicine: Theory and Practice
2020
Drug research, therapy development, and other areas of pharmacology and medicine can benefit from simula- tions and optimization of mathematical models that contain a mathematical description of interactions between systems elements at the cellular, tissue, organ, body, and population level. This approach is the foundation of systems medicine and precision medicine. Here, simulated experiments are performed with computers (in silico) first, and they are then replicated through lab experiments (in vivo or in vitro) or clinical studies. In turn, these experiments and studies can be used to validate or improve the models. This iterative loop of dry and wet lab work is successful when biomedica…
Comparison of the Root Canal Curvatures of Human Teeth with the Curvatures of the Resin Blocks Used as Models for Training
2019
In this paper we develop a method to associate a function curvature to human teeth roots.These functions are calculated from radiographs using mathematical software. We use this procedure to compare the curvatures of the roots with the curvatures of the resin blocks that are used for learning. The comparison is made by calculating the distances of the corresponding functions in the \(L_1\) metric.
Multi axis representation and Euclidean distance of muscle fatigue indexes during evoked contractions
2014
International audience; In this article, we proposed a new representation of muscular fatigue during evoked muscle contractions based on fatigue indexes such as peak to peak amplitude, RMS of the M wave, mean and median frequency and fatigue index calculated from continuous wavelet transform (I CWT). These new representations of muscle fatigue using multi axis represented and Euclidean distance give better insights on changes in physiological characteristics during muscle fatigue. This technique provides a fatigue index using several muscle characteristics. The use of other kinds of fatigue characteristics as force could also be possible.