In this paper, we present necessary and sufficient conditions to have global analytic hypoellipticity for a class of first-order operators defined on $\mathbb{T}^1 \times \mathbb{S}^3$. the case real-valued coefficients, prove that an operator in is conjugated constant-coefficient satisfying Diophantine condition, such conjugation preserves hypoellipticity. where imaginary part coefficients non...

1. Evans DG, Baser ME, McGaughran J, et al. Malignant peripheral nerve sheath tumours in neurofibromatosis 1. J Med Genet 2002;39:311-4. 2. Wallace MR. Neurofibromatosis: phenotype, natural history, and pathogenesis, 3rd ed. edited by J. M. Friedman, David H. Gutmann, Mia MacCollin, and Vincent M. Riccardi. Baltimore: Johns Hopkins Press, 1999. Pp. 380. $99.95 (hardcover only). Am J Hum Genet 2...

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Lymphangiosarcoma is one of the rarest forms of soft tissue neoplasms. Lowenstein (1906) was the first to report this entity in a patient with chronic post-traumatic upper extremity lymphoedema. However, it was not until Stewart and Treves (1948) described the development of this malignancy in a post-mastectomy oedematous extremity that this syndrome, which carries their name, became widely rec...

SODs (superoxide:superoxide oxidoreductase, EC 1.15.1.1) catalyze the dismutation of superoxide to dioxygen and hydrogen peroxide to protect organisms from oxidative damage (Hassan, 1984). SODs are metalloproteins that are classified into three types (Mn-, Fe-, and Cu/Zn-SOD) depending on the metal found in the active site. In plants, the most prominent SODs are Cu/Zn isozymes. It has been show...