A Discrete and Bounded Envy-free Cake Cutting Protocol for Four Agents

We consider the well-studied cake cutting problem in which the goal is to identify a fair allocation based on a minimal number of queries from the agents. The problem has attracted considerable attention within various branches of computer science, mathematics, and economics. Although, the elegant Selfridge-Conway envy-free protocol for three agents has been known since 1960, it has been a major open problem for the last fifty years to obtain a bounded envy-free protocol for more than three agents. We propose a discrete and bounded envy-free protocol for four agents

Serotoninergic and suprachiasmatic nucleus involvement in the corticotropic response to systemic endotoxin challenge in rats.

International audienceWe have investigated whether the serotonin system participates in the mechanisms underlying the corticotropic response in experimentally infected rats. Intra-arterial injection of lipopolysaccharide (LPS; 25 microg/kg b.w.) resulted in a slight but significant increase in serotonin (5-HT) metabolism, detectable 60 min after the stimulus and lasting more than 480 min. Adrenocorticotropin (ACTH) and corticosterone (CORT) responses in intact rats conformed to earlier reports, increasing as early as 30 min after LPS injection and reaching maximal concentrations in the circulation 60 min after the bacterial endotoxin injection. Plasma concentrations of interleukin-1beta (IL-1beta) increased only after 60 min, reaching maximal levels 120 min after LPS. Depletion of hypothalamic 5-HT (-93%) by pretreatment of the animals with para-chlorophenylalanine (p-CPA), resulted in a halved ACTH response to LPS, despite an overall unchanged secretory pattern. Neither CORT nor IL-1beta secretory patterns were affected in these rats pretreated with p-CPA. Complete bilateral electrochemical lesions of the suprachiasmatic nucleus (SCN), which is innervated by mesencephalic 5-HT, impaired the early phase of the ACTH (-75% at 30 min) and CORT (-40% at 30 min) responses but did not affect the later increases of the corticotropic and the plasma IL-1beta responses following the LPS injection. These results indicate that serotonin pathways and SCN are involved in the earlier mechanisms of corticotropic axis recruitment following systemic LPS endotoxemia

Evidence for an age-dependent decrease in the immunoreactive prolactin-containing terminals of the median eminence of male rats.

International audienceLabelling patterns of immunoreactive prolactin (IR-PRL)-containing and tyrosine hydroxylase (TH)-containing nerve terminals of the median eminence (ME) were compared in young adult (aged 3 months) and old (aged 24 months) male Wistar rats. In the young rats, IR-PRL- and TH-immunostained fibres extended throughout the external most layer of the ME. In the old rats, a significant decrease in the intensity of labelling of IR-PRL terminals was observed in this layer, with a slight reduction in the extent of labelling. As far as TH terminals were concerned, no difference could be detected between young and old animals

Early hypothalamic activation of combined fos and CRH41 immunoreactivity and of CRH41 release in push-pull cannulated rats after systemic endotoxin challenge

International audienceWe previously showed that intra-arterial endotoxin infusion (lipopolysaccharide [LPS]: 25 micrograms.kg-1) induced an early (15 min) and sustained (480 min) rise in plasma ACTH associated with delayed (60-120 min) increases in plasma concentrations of TNF alpha, IL-6, and IL-1 beta. In the present study, we followed the post-LPS time-course of immunocytochemical expression of Fos-like activity in CRH41 neurons whose immunolabeling was enhanced by icv colchicine pretreatment 48 h before the LPS, and CRH41 release in the push-pull cannulated median eminence of free-moving rats, in parallel with the ACTH response. The earliest Fos-like activity in IR-CHR41 neurons was detected 30 min post-LPS. Colchicine strongly inhibited the LPS-induced activation of Fos expression in single-labeled paraventricular neurons. CRH41 release in the median eminence displayed a biphasic stimulation pattern, with a first peak (+60%) at 15 min together with the ACTH surge, followed by a second rise beginning at 45 min and lasting more than 2 h. Thus, the early stage of the ACTH surge following a nonlethal endotoxin challenge (< 60 min) already involves the activation of CRH41-producing neurons

Short-term but not long-term adrenalectomy modulates amplitude and frequency of the CRH41 episodic release in push-pull cannulated median eminence of free-moving rats.

International audienceCRH 41 release in push-pull cannulated median eminence (ME) was measured in unanesthetized male rats, 3 and 7 days after adrenalectomy (ADX) and in sham-lesioned controls. Perfusion started at 13.30 h and perfusate samples were collected at 5 min intervals for 3 h to estimate the mean release rate of CRH41. The major parameters of the neurohormone's episodic release pattern were analyzed using the Ultra algorithm. In a parallel study, 3 groups of similarly treated rats were used to measure plasma ACTH and hypothalamic CRH41. Three days after ADX, the plasma ACTH titers had risen 14-fold, the hypothalamic CRH41 content had decreased by 40%, while the CRH41 release in the ME had doubled as a result of a significant increase in most variables of the pulsatile release pattern: pulse frequency (+34%; P < 0.01), mean amplitude (+36%; P < 0.05), mean peak levels (+67%; P < 0.01) and mean pulse nadirs (x2.5; P < 0.01). Seven days after ADX, even though plasma ACTH had further increased to 30-times control levels, hypothalamic CRH41 content and CRH41 release in the ME had returned to almost control levels. The possible mechanisms of the discrepancy between the CRH and ACTH response time-courses following ADX are discussed

Evidence for an age-dependent decrease in the immunoreactive prolactin-containing terminals of the median eminence of male rats

Labelling patterns of immunoreactive prolactin (IR-PRL)-containing and tyrosine hydroxylase (TH)-containing nerve terminals of the median eminence (ME) were compared in young adult (aged 3 months) and old (aged 24 months) male Wistar rats. In the young rats, IR-PRL- and TH-immunostained fibres extended throughout the external most layer of the ME. In the old rats, a significant decrease in the intensity of labelling of IR-PRL terminals was observed in this layer, with a slight reduction in the extent of labelling. As far as TH terminals were concerned, no difference could be detected between young and old animals

[The corticotropic axis response after subcutaneous endotoxin injection is not associated with the increase of plasma interleukin-1 beta].

International audienceWhen injected through an intra-arterial (i. a.) cannula, LPS induced a rapid (15-30 min) and long-lasting (> 300 min) increase in plasma ACTH and corticosterone (CORT) levels. The duration of these responses depended on the LPS dose, and except for very small LPS doses, their amplitudes appeared independent of the dose of endotoxin. ACTH peaks (2,200 pg.ml-1) occurred between 30 and 120 min, whereas CORT always reached maximal levels at 120 min. Plasma Interleukin-1 beta (IL-1 beta) levels were always undetectable during the early phase of corticotropic stimulation, but increased strikingly 120 min after LPS injection. Increasing LPS doses, resulted in enhanced and prolonged IL-1 beta plasma circulating levels (up to 3.0 +/- 0.2 ng.ml-1). By contrast, no sub-cutaneous LPS dose used induced early increases in ACTH and CORT levels, whereas time-course of the hormonal response was evocative of the sustained phase of the corticotropic response to i. a. LPS, with both peaks occurring 120 min post-LPS. Increasing the s. c. LPS bolus 50-fold vs the i. a. dose did not affect the maximal amplitude of the ACTH response, whereas the amplitude of the CORT response, instead, appeared dependent on the LPS dose. On the other hand, even for the largest LPS doses, plasma IL-1 beta levels remained undetectable. Sub-cutaneous injection of LPS therefore appears as a new model for the study of the mechanisms of corticotropic responses to endotoxin without a direct involvement of bloodborne IL-1 beta

Involvement of Central Histamine in the Early Phase of ACTH and Corticosterone Responses to Endotoxin in Rats

International audienceThe involvement of histaminergic transmission in the rapid and sustained plasma ACTH and corticosterone (CORT) responses induced in conscious rats by intra-arterial infusions of 25 micrograms.kg-1 Escherichia coli lipopolysaccharide (LPS) was investigated. LPS challenge produced a rapid and transient increase (+ 62%) in the amount of histamine (HA) in the median eminence 15 min after LPS administration, which contrasted with constant concentrations of plasma HA throughout the entire study (up to 480 min). Blockade of histaminergic receptors by intra-arterial pretreatment with H1 or H2 antagonists (mepyramine, 1 mg/rat, and cimetidine, 2 mg/rat), administered separately, did not affect either ACTH or CORT responses to LPS. Pretreatment with the same doses of the two antagonists in combination very significantly but transiently impaired the earliest phase (30 min) of the ACTH and CORT responses, without any apparent effect on the late phase of these responses. Pretreatment of the animals with an H3-receptor agonist (R alpha-methylhistamine dihydrochloride, 1 mg/rat) similarly blunted the early corticotropic responses to LPS, and also slightly depressed the long-lasting CORT response. These findings support the view that activated central HA transmission may be a key intermediate mechanism triggering the CRH41-ACTH-CORT responses to LPS, in addition to the previously demonstrated activating role of catecholaminergic afferences to the CRH41 neurons during this early complex phase of corticotropic response to LPS