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S Ahlgren

Publications and source records attributed to S Ahlgren.

6 recordsLinked to original sources

Congruence properties for the partition function.

Eighty years ago, Ramanujan conjectured and proved some striking congruences for the partition function modulo powers of 5, 7, and 11. Until recently, only a handful of further such congruences were known. Here we report that such congruences are much more widespread than was previously known, and we describe the theoretical framework that appears to explain every known Ramanujan-type congruence.

Journal Article↗

In vivo regulation of somite differentiation and proliferation by Sonic Hedgehog.

In vertebrates, somite differentiation is mediated in part by Sonic Hedgehog (Shh), secreted by the notochord and the floor plate. However, Shh-null mice display close to normal expression of molecular markers for dermomytome, myotome, and sclerotome, indicating that Shh might not be required for their initial induction. In this paper, we have addressed the capacity of Shh to regulate in vivo the expression of the somite differentiation markers Pax-1, MyoD, and Pax-3 after separation of paraxial mesoderm from axial structures. We show that Pax-1, which is lost under these experimental conditions, is rescued by Shh. In contrast, Shh maintains, but cannot induce MyoD expression, while Pax-3 expression is independent of the presence of axial structures or Shh. Finally, we demonstrate that Shh is a potent mitogen for somitic cells, supporting the idea that it may serve to expand subpopulations of cells within the somite.

Animals↗

Accumulation of beta-amyloid precursor protein and ubiquitin in axons after spinal cord trauma in humans: immunohistochemical observations on autopsy material.

We evaluated by immunohistochemistry the presence of beta-amyloid precursor protein (beta APP) and ubiquitin-like material which may accumulate in axons of the human spinal cord subjected to injury. Autopsy material was obtained from nine cases with different types of trauma: breech delivery with neonatal spinal injury, compression of the cord induced by fractures of the vertebral column, haematomas or intradural meningioma. The posttrauma period ranged from 10 days to several years. The spinal cord of six control cases without evidence of injury presented beta APP immunoreactivity in nerve cell bodies and in a few axonal profiles but not in dendrites. Seven of the nine cases with spinal cord trauma showed an accumulation of beta APP-immunoreactive material in axons of the longitudinal tracts at the site of the injury. Five cases presented similar axonal immunoreactivity in the grey matter of the cord. Ubiquitin-like immunoreactivity was present in expanded axons in cases with spinal cord injury. Cases with spinal cord trauma thus present beta APP-immunoreactive axons particularly of the longitudinal tracts in the same way as in trauma to rat spinal cord and in various brain injuries. The aggregation of beta APP-immunoreactive material indicates disturbed axonal transport of beta APP. Accumulation of ubiquitin-like immunoreactive material in expanded axons at the site of trauma may be one prerequisite for degradation of abnormal proteins by the ubiquitin-mediated proteolytic pathway.

Adolescent↗