A superoxide dismutase excreted by promastigote forms of L. (Viannia) peruviana (SODe-Lp), L. (Viannia) brazilensis (SODe-Lb), and L. (L.) amazonensis (SODe-La) is tested to evaluate its potential value as a diagnostic tool of mucocutaneous and Andean cutaneous leishmaniasis. We used 45 sera with mucocutaneous leishmaniasis (SL) and 68 with Andean cutaneous leishmaniasis (ACL). SODe-Lp antigen ...

The dynamics of social networks are modeled with a system of continuous Stochastic Ordinary Differential Equations (SODE). With the proper amount of noise input, the SODE model captures dynamic features that are lacking in the corresponding deterministic ODE model. Therefore, sensitivity to noise levels is investigated by considering four different regimes: essentially deterministic, noise-enri...

The paper investigates the linear stability of mammalian physiology time-delayed flow for three distinct cases (normal cell cycle, a neoplasmic cell cycle, and multiple cell arrest states), for the Dirac, uniform, and exponential distributions. For the Dirac distribution case, it is shown that the model exhibits a Hopf bifurcation for certain values of the parameters involved in the system. As ...

<p style='text-indent:20px;'>A theory of local convexity for a second order differential equation (${\text{sode}}$) on Lie algebroid is developed. The particular case when the ${\text{sode}}$ homogeneous quadratic extensively discussed.</p>

The geometry of a system of second order differential equations is the geometry of a semispray, which is a globally defined vector field on TM. The metrizability of a given semispray is of special importance. In this paper, the metric associated with the semispray S is applied in order to study some types of foliations on the tangent bundle which are compatible with SODE structure. Indeed, suff...

the geometry of a system of second order differential equations is the geometry of a semispray, which is a globally defined vector field on tm. the metrizability of a given semispray is of special importance. in this paper, the metric associated with the semispray s is applied in order to study some types of foliations on the tangent bundle which are compatible with sode structure. indeed, suff...

An excreted iron superoxide dismutase (FeSODe) of pI 3.6 with a molecular weight of 28-30 kDa was detected in the in vitro culture of Phytomonas isolated from Euphorbia characias (SODeCHA) and from Lycopersicon esculentum (SODeTOM), in Grace's medium without serum. These FeSODe excreted into the medium had immunogenic capacity: the positivity of the anti-SODeCHA serum persisted to a dilution of...

Abstract The paper considers the methods of direct numerical investigation behaviour dynamical systems explosive type under influence random noise. Dynamical are described by a system nonstationary ordinary differential equations (ODE). dynamics system, taking into account noise, is stochastic (SODE). provides an overview modern algorithms based on modifications Runge – Kutta integration method...

A methodology for constructing conserved quantities with Lie symmetry infinitesimals in an Itô integral context is pursued. The basis of this construction relies on Lie bracket relations on both the instantaneous drift and diffusion of an Itô stochastic ordinary differential equation (SODE).

the geometry of a system of second order differential equations is the geometry of a semispray, which is a globally defined vector field on tm. the metrizability of a given semispray is of special importance. in this paper, the metric associated with the semispray s is applied in order to study some types of foliations on the tangent bundle which are compatible with sode structure. indeed, suff...