Chaotic model and memory in single calcium-activated potassium channel kinetics

Ion channels are pores formed by proteins and responsible for carrying ion fluxes through cellular membranes. The ion channels can assume conformational states thereby controlling ion flow. Physically, the conformational transitions from one state to another are associated with energy barriers between them and are dependent on stimulus, such as, electrical field, ligands, second messengers, etc. Several models have been proposed to describe the kinetics of ion channels. The classical Markovian model assumes that a future transition is independent of the time that the ion channel stayed in a previous state. Others models as the fractal and the chaotic assume that the rate of transitions between the states depend on the time that the ionic channel stayed in a previous state. For the calcium activated potassium channels of Leydig cells the R/S Hurst analysis has indicated that the channels are long-term correlated with a Hurst coefficient H around 0.7, showing a persistent memory in this kinetic. Here, we applied the R/S analysis to the opening and closing dwell time series obtained from simulated data from a chaotic model proposed by L. Liebovitch and T. Toth [J. Theor. Biol. 148, 243 (1991)] and we show that this chaotic model or any model that treats the set of channel openings and closings as independent events is inadequate to describe the long-term correlation (memory) already described for the experimental data. (C) 2008 American Institute of Physics.

Hemangiossarcoma primário intrauterino em um macaco aranha de cara vermelha (Ateles paniscus)

Hemangiosarcoma is a common neoplasm in dogs and less frequently seen in cats. In nonhuman primates, this tumor is rarely reported. A 17 year-old female spider monkey (Ateles paniscus) was submitted an ultrasound exam due to gestation suspicion, which was seen a circular mass intra-uterine measuring 1.3 cm. New exams shown increase of the mass to 4.4 x 3.0 cm associated with a viable fetus. Was realized cesarean with ovariohysterectomy and excision of the mass; however the animal died in less than 24 hours after the surgery. In the necropsy, severe hemoabdomen was evidenced, although the surgical stumps were properly ligated and the complete sutures. Macroscopically, the uterine mass was soft, dark heterogeneous and measuring 5.0 cm in diameter. Histologically was visualized proliferation of spindle cells that form vascular channels replete of erythrocytes and some with thrombus, marked pleomorphism, nucleolus evident, binucleated cells and mitotic figures were rare. The immunohistochemistry (IHC) was performed, using streptavidin-biotin peroxidase technique (Dako Cytomation, USA) with the use of antibodies CD31 (clone JC/70A), CD34 (clone QB-END/10). The IHC showed a specific antigen-antibody reaction for CD31. According to localization, morphology and IHC, the present study reports a primary uterine hemangiosarcoma in a spider monkey that caused hemostatic abnormalities and consequent death of the animal.