Search results for "Different"

Analytical model for the long- distance tracer-transport in plants

2011

International audience; Recent investigations of long-distance transport in plants using non-invasive tracer techniques such as C radiolabeling monitored by positron emission tomography (PET) combined with magnetic resonance imaging (MRI) revealed the need of dedicated methods to allow a quantitative data analysis and comparison of such experiments. A mechanistic compartmental tracer transport model is presented, defined by a linear system of partial differential equations (PDEs). This model simplifies the complexity of axial transport and lateral exchanges in the transport pathways of plants (e.g. the phloem) by simulating transport and reversible exchange within three compartments using j…

Parallel global optimization : structuring populations in differential evolution

2010

Always pay attention to which model of motor learning you are using

2022

This critical review considers the epistemological and historical background of the theoretical construct of motor learning for a more differentiated understanding. More than simply reflecting critically on the models that are used to solve problems—whether they are applied in therapy, physical education, or training practice—this review seeks to respond constructively to the recent discussion caused by the replication crisis in life sciences. To this end, an in-depth review of contemporary motor learning approaches is provided, with a pragmatism-oriented clarification of the researcher’s intentions on fundamentals (what?), subjects (for whom?), time intervals (when?), and purpose (for what…

Isolation and Culture of Oligodendrocytes

2019

Primary cultures of brain-derived rodent cells are widely used to study molecular and cellular mechanisms in neurobiology. In this chapter, we describe methods of purifying and culturing oligodendroglial cells from mouse perinatal brains. In addition, we describe methods of coculturing the purified oligodendrocytes with neurons. When prepared and cultured according to these protocols, many essential aspects of the biology of oligodendrocytes, such as their proliferation, differentiation, and myelination, can be studied in culture.

On one-dimensionality of metric measure spaces

2019

In this paper, we prove that a metric measure space which has at least one open set isometric to an interval, and for which the (possibly non-unique) optimal transport map exists from any absolutely continuous measure to an arbitrary measure, is a one-dimensional manifold (possibly with boundary). As an immediate corollary we obtain that if a metric measure space is a very strict $CD(K,N)$ -space or an essentially non-branching $MCP(K,N)$-space with some open set isometric to an interval, then it is a one-dimensional manifold. We also obtain the same conclusion for a metric measure space which has a point in which the Gromov-Hausdorff tangent is unique and isometric to the real line, and fo…

Differential of metric valued Sobolev maps

2020

We introduce a notion of differential of a Sobolev map between metric spaces. The differential is given in the framework of tangent and cotangent modules of metric measure spaces, developed by the first author. We prove that our notion is consistent with Kirchheim's metric differential when the source is a Euclidean space, and with the abstract differential provided by the first author when the target is $\mathbb{R}$.

Existence of optimal transport maps in very strict CD(K,∞) -spaces

2018

We introduce a more restrictive version of the strict CD(K,∞) -condition, the so-called very strict CD(K,∞) -condition, and show the existence of optimal maps in very strict CD(K,∞) -spaces despite the possible lack of uniqueness of optimal plans. peerReviewed

Non-branching geodesics and optimal maps in strong CD(K,∞) -spaces

2014

We prove that in metric measure spaces where the entropy functional is Kconvex along every Wasserstein geodesic any optimal transport between two absolutely continuous measures with finite second moments lives on a non-branching set of geodesics. As a corollary we obtain that in these spaces there exists only one optimal transport plan between any two absolutely continuous measures with finite second moments and this plan is given by a map. The results are applicable in metric measure spaces having Riemannian Ricci curvature bounded below, and in particular they hold also for Gromov-Hausdorff limits of Riemannian manifolds with Ricci curvature bounded from below by some constant. peerReview…

Differentiaalimuodot ja niiden integrointi euklidisten avaruuksien alimonistoilla

2016

Differentiaalimuodot ovat oleellinen osa modernin matematiikan koneistoa. Niitä käytetään paitsi geometrian tutkimuksessa, myös teoreettisen fysiikan kentällä muun muassa elektrostatiikassa, mekaniikassa ja termodynamiikassa. Differentiaalimuodot elävät luonnollisesti sileillä monistoilla, jotka puolestaan esiintyvät kaikkialla, missä on tarve puhua siisteistä joukoista koordinaattien avulla. Tässä tutkielmassa tutustutaan differentiaalimuotojen perusteoriaan alkaen euklidisten avaruuksien alimonistoista. Tämän jälkeen määritellään monistojen tangentti- ja kotangenttiavaruudet, k-muotojen ulkoinen tulo, differentiaalimuotojen ulkoinen derivaatta sekä lopulta differentiaalimuodon integraali …

Design and Performance Evaluation of a High Power-Density EMI Filter for PWM Inverter-Fed Induction-Motor Drives

2016

This paper presents the design of an electromagnetic interference (EMI) filter for a low-voltage high-current induction-motor drives supplied by dc power grids. In order to effectively design the EMI filter, a suitable common-mode/differential-mode (CM/DM) separation technique has been used. Due to the high operating currents, the software-based separation technique using time-domain measurements has been applied. The proposed technique allows the CM and DM sections of the EMI filter to be properly selected in a more economical way, i.e., without the need of a dedicated hardware or costly radio frequency (RF) instrumentation. The design has been done according to a power-density criterion. …