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本文指出仪洪勋和Brosch G在具有三个判别的CM公共值的亚纯函数的唯一性定理中,关于对数函数的导数是整函数的推导,可以用指数函数求导的方法来证明.改进了仪洪勋和Brosch G关于重值与唯一性定理.  相似文献   
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Peppiatt CM  Howarth C  Mobbs P  Attwell D 《Nature》2006,443(7112):700-704
Neural activity increases local blood flow in the central nervous system (CNS), which is the basis of BOLD (blood oxygen level dependent) and PET (positron emission tomography) functional imaging techniques. Blood flow is assumed to be regulated by precapillary arterioles, because capillaries lack smooth muscle. However, most (65%) noradrenergic innervation of CNS blood vessels terminates near capillaries rather than arterioles, and in muscle and brain a dilatory signal propagates from vessels near metabolically active cells to precapillary arterioles, suggesting that blood flow control is initiated in capillaries. Pericytes, which are apposed to CNS capillaries and contain contractile proteins, could initiate such signalling. Here we show that pericytes can control capillary diameter in whole retina and cerebellar slices. Electrical stimulation of retinal pericytes evoked a localized capillary constriction, which propagated at approximately 2 microm s(-1) to constrict distant pericytes. Superfused ATP in retina or noradrenaline in cerebellum resulted in constriction of capillaries by pericytes, and glutamate reversed the constriction produced by noradrenaline. Electrical stimulation or puffing GABA (gamma-amino butyric acid) receptor blockers in the inner retina also evoked pericyte constriction. In simulated ischaemia, some pericytes constricted capillaries. Pericytes are probably modulators of blood flow in response to changes in neural activity, which may contribute to functional imaging signals and to CNS vascular disease.  相似文献   
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The bovine chromaffin cells (BCC) implanted into the subarachnoid space can release analgesic substances such as opioid peptides and ealeeholamines. Clinical trials have provided the evidence that the implantation of polyvinylchloride ( PVC) hollow fiber encapsulated BCC by surgery can relief the pain in cancer patients. In the present study, BCC were encapsulated in alginate-polylysine-alginate (APA) mieroencapsules which protect the grafting of xenogeneic cells from host immune system anil allow BCC to function effectively without using immunosuppression agents. The microencapsulated BCCs (5 X 106~—8 X 106) were transplanted into the subarachnoid space I^._s of 17 patients who suffered from chronic cancer pain and had to have long-term administration of analgesics. The pain scores and morphine intake tesl showed that microencapsulated BCC graft totally stopped the chronic pain in three of the patients over a period of 200 days and in the other three over a period of 100 days. The resulls suggesl thai APA microencapsulated BCC xenotransplantation could be a novel alternative approach to managing pain of cancer patients.  相似文献   
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