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Total planar area can be estimated based on sampling by a lattice of figures (e.g. point patterns, line segments, quadrats). General formulae are provided for the approximation of mean squared errors. The approximation formulae are products of the boundary length and of a parameter that depends only on the sampling scheme. An R package is provided by the authors for the numerical computation of the mean squared error formulae. The speed of convergence of the mean squared error approximation is assessed on the basis of several simulations. Several sampling schemes are compared in view of the approximated mean squared errors.
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http://dx.doi.org/10.1111/j.1365-2818.2006.01588.x | DOI Listing |
Front Neurosci
February 2025
York Neuroimaging Centre, University of York, York, United Kingdom.
Introduction: A full understanding of how we see our world remains a fundamental research question in vision neuroscience. While topographic profiling has allowed us to identify different visual areas, the exact functional characteristics and organization of areas up in the visual hierarchy (beyond V1 & V2) is still debated. It is hypothesized that visual area V4 represents a vital intermediate stage of processing spatial and curvature information preceding object recognition.
View Article and Find Full Text PDFEur J Obstet Gynecol Reprod Biol
March 2025
Department of Genetics and Cell Biology, Faculty of Health, Medicine and Life Sciences, Maastricht University, Maastricht, the Netherlands; Interdisciplinary Centre for Clinical Research IZKF, University Hospital RWTH Aachen 52074 Aachen, Germany. Electronic address:
Globally, at least 10 % of maternal deaths, caused by obstetric complications during pregnancy, are linked to preeclampsia or eclampsia. Preeclampsia-induced placental hypoxia leads to vascular injury and syncytial knot formation in terminal villi. Early delivery of preeclampsia placentas complicates comparisons with normotensive term placentas, while the placenta's non-planar structure limits the effectiveness of 2D histology for vascular analysis.
View Article and Find Full Text PDFJ Magn Reson Imaging
March 2025
Department of Radiology, Qilu Hospital, Shandong University, Jinan, China.
Background: Occult liver metastases in patients with pancreatic ductal adenocarcinoma (PDAC) affects treatment strategies and prognosis. Diffusion-weighted imaging (DWI), including non-Gaussian DWI may help to evaluate tumor biological behavior.
Purpose: To evaluate the diagnostic value of DWI parameters in predicting occult liver metastases in patients with PDAC.
Adv Healthc Mater
March 2025
Institute for Complex Molecular Systems, and Department of Biomedical Engineering, Eindhoven University of Technology, Eindhoven, 5612AZ, The Netherlands.
Human induced pluripotent stem cells (hiPSCs) hold the potential to generate any human tissue for transplantation in regenerative therapies. These complex cell therapies require billions of cells, which is challenging to acquire in planar adherent cultures. Transitioning hiPSCs to 3D suspension culture on microcarrier materials, often bead-shaped, improves the total surface area accessible to cells, thereby enabling culture scale-up.
View Article and Find Full Text PDFMicromachines (Basel)
January 2025
Department of Bioengineering, The University of Texas at Dallas, Richardson, TX 75080, USA.
Implantable microelectrode arrays (MEAs) enable the recording of electrical activity from cortical neurons for applications that include brain-machine interfaces. However, MEAs show reduced recording capabilities under chronic implantation conditions. This has largely been attributed to the brain's foreign body response, which is marked by neuroinflammation and gliosis in the immediate vicinity of the MEA implantation site.
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