Some well-posed Cauchy problem for second order hyperbolic equations with two independent variables

In this paper we discuss the $C^{\infty}$ well-posedness for second order hyperbolic equations $Pu=\partial_t^2u-a(t,x)\partial_x^2u=f$ with two independent variables $(t,x)$. Assuming that the $C^{\infty}$ function $a(t,x)\geq 0$ verifies $\partial_t^pa(0,0)\neq 0$ with some $p$ and that the discriminant $\Delta(x)$ of $a(t,x)$ vanishes of finite order at $x=0$, we prove that the Cauchy problem for $P$ is $C^{\infty}$ well-posed in a neighbourhood of the origin

Nota histórica sobre caso importado de loíase no Rio de Janeiro, Brasil, 1964

Loiasis is a filarial disease transmitted by the Chrysops spp. tabanid flies in West and Central Africa. It is most commonly diagnosed by the clinical manifestations of Calabar swellings (transient localized inflammatory edema) or, most dramatically, by the appearance of a migrating worm through the conjunctival tissues or the bridge of the nose. We report the case of a 35-year-old resident in the city of Rio de Janeiro who displayed a moving Loa loa in the bulbar conjunctival tissue two years after returning from a six-month trip to Uganda. Surgical removal of the worm was performed.A loaíase é uma filaríase transmitida por tabanídeos (mutucas) do gênero Chrysops na África central e ocidental, comumente diagnosticada pela apresentação clínica de edema de Calabar (edema inflamatório transitório e localizado) ou, mais dramaticamente, pela migração de um verme adulto pelo tecido conjuntival ou asa do nariz. Descrevemos o caso clínico de um paciente do sexo masculino, 35 anos, residente no Rio de Janeiro, que se apresentou com um verme adulto de Loa loa migrando sobre o tecido conjuntival bulbar dois anos após retornar de uma viagem de seis meses de duração a Uganda. Procedeu-se a remoção cirúrgica do verme

Molecular mechanisms of cell death: recommendations of the Nomenclature Committee on Cell Death 2018.

Over the past decade, the Nomenclature Committee on Cell Death (NCCD) has formulated guidelines for the definition and interpretation of cell death from morphological, biochemical, and functional perspectives. Since the field continues to expand and novel mechanisms that orchestrate multiple cell death pathways are unveiled, we propose an updated classification of cell death subroutines focusing on mechanistic and essential (as opposed to correlative and dispensable) aspects of the process. As we provide molecularly oriented definitions of terms including intrinsic apoptosis, extrinsic apoptosis, mitochondrial permeability transition (MPT)-driven necrosis, necroptosis, ferroptosis, pyroptosis, parthanatos, entotic cell death, NETotic cell death, lysosome-dependent cell death, autophagy-dependent cell death, immunogenic cell death, cellular senescence, and mitotic catastrophe, we discuss the utility of neologisms that refer to highly specialized instances of these processes. The mission of the NCCD is to provide a widely accepted nomenclature on cell death in support of the continued development of the field

Strong hyperbolicity in Gevrey classes

We are concerned with the Cauchy problem in Gevrey classes and we are interested in finding condition on the principal symbol for which the Cauchy problem is stable under perturbation by lower order terms

Strong hyperbolicity in Gevrey classes

We are concerned with the Cauchy problem in Gevrey classes and we are interested in finding condition on the principal symbol for which the Cauchy problem is stable under perturbation by lower order terms

On the regularity of the roots of hyperbolic polynomials

We investigate the regularity of functions $\tau$ of one variable such that $P(t,\tau(t))=0$, where $P(t,x)$ is a given polynomial of degree $m$ in $x$ whose coefficients are functions of class $C^{m^2!}$ of $t$. We show that there is a complete family of roots that are absolutely continuous functions of $t$; indeed, we prove that any complete family of continuous roots has this property