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Demyelination patterns in a mathematical model of multiple sclerosis
Journal of Mathematical Biology, 2016In this paper we derive a reaction-diffusion-chemotaxis model for the dynamics of multiple sclerosis. We focus on the early inflammatory phase of the disease characterized by activated local microglia, with the recruitment of a systemically activated immune response, and by oligodendrocyte apoptosis. The model consists of three equations describing the
Lombardo M. C. +5 more
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Multiplication of Distributions in Mathematical Physics
2016We expose a mathematical method that permits to treat calculations in form of multiplications of distributions that arise in various areas of mathematical physics, starting with an analysis of the famous Schwartz impossibility result (1954), then a construction of products of distributions, with examples and references of use in various domains of ...
J. Aragona +4 more
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Teaching Mathematics with Technology: Multiples
The Arithmetic Teacher, 1987Throughout children's study of mathematics, the concept of multiples and the skills associated with multiples play an important role. Initially, children's love of rhymes such as “two, four, six, eight, meet me at the garden gate” is extended to include skip counting with numbers other than 2.
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SIMPLIFIED MATHEMATICS FOR MULTIPLE BIOASSAYS
Acta Endocrinologica, 1960ABSTRACT Gaddum's simplified system of computation for the analysis of biological parallel-line assays is extended to the assay of several unknown preparations simultaneously against the same standard, using up to four dose levels of each preparation.
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Mathematics of a Multiple Omni-Directional System
2003 Conference on Computer Vision and Pattern Recognition Workshop, 2003We formulate multiple-view geometry for omni-directional and panorama-camera systems. The mathematical formu-lations enable us to derive the geometrical and algebraic constraints for multiple panorama-camera configurations. The constraints permit us to reconstruct three-dimensional objects for a large feasible region.
Akihiko Torii +2 more
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Multiple Objectives in Mathematical Programming
Operations Research, 1958The abstraction from a real situation to a model suitable for mathematical programming often raises the dilemma of multiple objective functions, and of the arbitrary roles of objective functions and restrictions. This dilemma is resolved by formulating a more general model of the total objective function.
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The Multiple Voices of a Mathematics Classroom Community
2006Several mathematics educators have expressed their concern about conflicting visions of educational reform among parents and teachers, which could result in the emergence of multiple voices in discussions of achievement and instruction. The aim of this article is to examine the multiple voices of educational reform in the discourse of a third grade ...
Ellen Ansell, Ellice A. Forman
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Mathematical programming with multiple objectives: A tutorial
Computers & Operations Research, 1980Abstract A system of classifying about two dozen major methods for mathematical programming with multiple objectives, or multiple objective decision making (MODM) is presented. The classification has been based upon four categories of the preference information given to the analyst by a decision maker: (1) a priori , (2) progressive, (3) a ...
Hwang, C.L. +3 more
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Multiple Transforms for Mathematical Physics Courses
American Journal of Physics, 1966Multiple transforms are used to solve five partial differential equations subject to boundary and initial conditions. The simplifications over single transforms that result are: the reduction of the original equation and boundary relations to a single algebraic equation, the removal of singularities in the transformed time plane (s plane) which do not ...
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Localization of multiple dipoles: Mathematical programming approaches
Brain Topography, 1989Although there has been progress in EEG and evoked potential analysis, the identification of underlying neural activity has eluded researchers despite its importance. This paper introduces the application of mathematical programming techniques to the "inverse" problem of three-dimensional localization of brain activity from scalp potentials ...
Richard S. Barr +3 more
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