A quantitative model of the magnetospheric magnetic ®eld is developed using poloidal vector ®elds. This formalism is applied to the ring current region, the distant ®eld and the return currents. The tail model is similar to the unwarped model of Tsyganenko. Several sets of coecients are obtained for di€erent Kp through a ®t of the NSSDC data base. Experimental DB contours and theoretical distr...

To investigate the function of trichohyalin during terminal differentiation of the skin, immunohistochemical studies were performed on trichohyalin and its related proteins, filaggrin and involucrin, the components of the cornified cell envelope. In skin disorders unrelated to tumours, weak trichohyalin expression was found in a few granular cells or in the horny layer of psoriasis, ichthyosis,...

MAPK: mitogen-activated protein kinase MEK: MAPK/ERK kinase INTRODUCTION Several skin lesions resulting from keratinocyte hyperproliferation have been observed in melanoma patients receiving BRAF inhibitor monotherapy. The most common of these lesions are verrucal keratosis, Grover disease, plantar hyperkeratosis, actinic keratosis, cutaneous squamous cell carcinoma, and keratosis pilaris. More...

Three cases of androgen-dependent disease in females with myotonic dystrophy are described. Serum androgens in individuals affected by myotonic dystrophy are known to be lower on average than in normal controls. Despite this these three females developed diseases that are androgen dependent, including acne, hidradenitis suppurativa, androgenetic alopecia and keratosis pilaris. These cases suppo...

Background The Koszul cohomology of a line bundle L on an algebraic variety X was introduced by Green in [1]. Koszul cohomology is very closely related to the syzygies of the embedding defined by L (if L is very ample) and is thus related to a host of classical questions. We assume that the reader is already aware of these relations and the main theorems on Koszul cohomology; for a detailed dis...

IV (OMIM 146700) is the most common ichthyosis with an estimated prevalence of 1:250–1000, and is inherited in a semidominant pattern [1]. Patients have light grey scaling, keratosis pilaris, increased palmoplantar markings and associated atopic manifestations. Involvement is generally mild and may vary greatly with climate and humidity. There is reduced or absence of keratohyalin granules in t...

The constrained Modified KP hierarchy is considered from the viewpoint of modification. It is shown that its second Poisson bracket, which has a rather complicated form, is associated to a vastly simpler bracket via Miura-type map. The similar results are established for a natural reduction of MKP. † Supported by Beca para estancias temporales de doctores y tecnólogos extranjeros en España: SB9...

Symmetry constraints for (2+1)-dimensional dispersionless integrable equations are considered. It is demonstrated that they naturally lead to systems of hydrodynamic type which arise within the reduction method. One also easily obtaines an associated complex curve (Sato function) and corresponding generating equations. Dispersionless KP and 2DTL hierarchy are considered as illustrative examples.