Mathematical modelling of the spatio-temporal response of cytotoxic T-lymphocytes to a solid tumour.

In this paper a mathematical model describing the growth of a solid tumour in the presence of an immune system response is presented. In particular, attention is focused upon the attack of tumour cells by so-called tumour-infiltrating cytotoxic lymphocytes (TICLs), in a small, multicellular tumour, without necrosis and at some stage prior to (tumour-induced) angiogenesis. At this stage the immune cells and the tumour cells are considered to be in a state of dynamic equilibrium--cancer dormancy--a phenomenon which has been observed in primary tumours, micrometastases and residual disease after ablation of the primary tumour. Nonetheless, the precise biochemical and cellular mechanisms by which TICLs control cancer dormancy are still poorly understood from a biological and immunological point of view. Therefore we focus on the analysis of the spatio-temporal dynamics of tumour cells, immune cells and chemokines in an immunogenic tumour. The lymphocytes are assumed to migrate into the growing solid tumour and interact with the tumour cells in such a way that lymphocyte-tumour cell complexes are formed. These complexes result in either the death of the tumour cells (the normal situation) or the inactivation (sometimes even the death) of the lymphocytes. The migration of the TICLs is determined by a combination of random motility and chemotaxis in response to the presence of chemokines. The resulting system of four nonlinear partial differential equations (TICLs, tumour cells, complexes and chemokines) is analysed and numerical simulations are presented. We consider two different tumour geometries--multi-layered cell growth and multi-cellular spheroid growth. The numerical simulations demonstrate the existence of cell distributions that are quasi-stationary in time and heterogeneous in space. A linear stability analysis of the underlying (spatially homogeneous) ordinary differential equation (ODE) kinetics coupled with a numerical investigation of the ODE system reveals the existence of a stable limit cycle. This is verified further when a subsequent bifurcation analysis is undertaken using a numerical continuation package. These results then explain the complex heterogeneous spatio-temporal dynamics observed in the partial differential equation (PDE) system. Our approach may lead to a deeper understanding of the phenomenon of cancer dormancy and may be helpful in the future development of more effective anti-cancer vaccines.     

兔肢体爆炸伤合并海水浸泡后在不同复温速率及维持浅低体温下机体炎症反应的特征

Objective To investigate effects of different rewarming rates and maintenance of light hypothermia on inflammatory response in rabbits after limb blast injury, coupled with seawater immersion. Methods First, the model of limb blast injury coupled with seawater immersion was reproduced [the animals were immersed to low body temperature of (31.0±0.5℃)]. Then, 24 adult rabbits were randomly divided into group Ⅰ [the rapid rewarming group, n=6, rewarmed to (38±0.5)℃ at a rate of (8.94±0.93)℃/h], group Ⅱ [the slow rewarming group, n=6, rewarmed to (38±0.5)℃ at a rate of (3.88±0.22)℃/h], group Ⅲ [another slow rewarming group, n=6, rewarmed to (38±0.5)℃ at a rate of (2.18±0.12)℃/h], and the H group [the hypothermia group, n =6, rewarmed to (34 - 35)℃ at a rate of (4.49±0.66)℃/h and kept at that temperature till termination of the experiment]. Regulation of ambient temperature and warm transfusion were used to restore body temperature to target levels and maintained there for 6 hours. Blood samples were taken at 5 different times, I.e. Pre-injury time(T0), post-immersion time (T1), the time when rewarming started (T2), 3 h after rewarming (T3), and 6 h after rewarming (T4). Tissue samples from heart, liver, intestinum, lung and kidney were also collected. Levels of TNF-α (tumor necrosis factor-α), IL-1β (interleukin-1β) and IL-6 (interleukin-6) in plasma and MPO (myeloperoxidase) in homogenate were detected. Results Following rewarming, TNF-α, IL-1β, IL-6 concentrations in the plasma of the animals in group Ⅰ and group H were significantly higher when compared with those of the animals in group Ⅱ and group Ⅲ (P<0.05, P<0.01), and MPO activity in homogenate was significantly higher when compared with that of the animals in group Ⅱ and group Ⅲ(P<0.01, P<0.05), and no statistical difference could be seen between group Ⅱ and Ⅲ (P>0.05). Conclusions Rapid rewarming and maintenance of light hypothermia could obviously elevate TNF-α, IL-1β, IL-6 concentrations in plasma and MPO activity in homogenate, following limb blast injury coupled with hypothermia induced by seawater immersion, while slow rewarming (with a rewarming rate of 2-4℃/h) could significantly inhibit TNF-α, IL-1β, IL-6 levels and PMN activity.     

Characteristics of antibody responses in tick-borne encephalitis vaccination breakthroughs

Tick-borne encephalitis (TBE) virus is an important human pathogenic flavivirus that is endemic in Europe and Asia. The disease can be effectively prevented by inactivated vaccines and vaccination breakthroughs (VBTs) are rare. We investigated the characteristics of antibody responses in such VBTs in comparison to those in unvaccinated TBE patients. In contrast to the unvaccinated controls, most of the VBTs displayed a delayed IgM antibody response and had high avidity and strongly neutralizing antibodies already in the first sample taken upon hospitalization. The antibody profile of these patients therefore had the characteristics of an anamnestic immune response. In the VBTs analyzed, immunological priming and memory were apparently not sufficient or fast enough to prevent the disease.     

Response rates,duration of response,and dose response effects in phase I studies of antineoplastics

Summary Over a period of 14 years, 7,960 patients were treated in 228 phase I trials. In these patients, there were 75 complete and 432 partial responses for an overall objective response rate of 6%. Complete responses lasted a median of six months (range 1–18), while partial responses lasted a median of three months (range 1–17). Of note is that no drug has made it to the market which has not had a response in phase I trials. Responses were noted in very diverse histologic types of tumors. Although there were responses at doses which were as low as 3–5% of the recommended dose for phase II trials, the majority of responses did occur at 80–120% of the dose recommended for phase II trials. Although the response rate in phase I trials is indeed low, responses do occur. This response rate information should help the clinician provide facts for the patient considering a phase I trial with new anticancer agents. These findings also emphasize that although phase I trials are characteristically dose-finding studies, if no responses are noted in phase I studies, it is unlikely the drug will be used routinely in the clinic.     

Warping of cross sections in the torsion of long bones with internal fracture fixation plates

Torsion of noncircular beams results in warping of each cross section. When noncircular cross sections are constrained to remain plane, the resulting shear stress distribution is different from what Saint Venant torsion (with warping) would predict. This has practical implications to the stress analysis of plated long bones subjected to torsional loadings. Analyses in which warping is not allowed predict incorrect stress fields in the plate and bone and overpredict the amount of stress shielding associated with fracture plate fixation.     

A simulation study of three sequential methods for the comparison of two treatment groups when the response criterion is censored

Three recent sequential methods, group sequential analysis (GSA), the sequential probability ratio test (SPRT) and the triangular test (TT) are well suited to randomized clinical trials with a censored response criterion, as they do not require matched pairs of patients. We undertook a simulation study to investigate their statistical properties and to compare these three methods with the fixed-sample design. Our results suggest that the three methods have the expected statistical properties for size and power; they allow an important reduction of the average number of events before stopping, except with GSA when there is no treatment difference; the triangular test (closed design) appears the optimal design, as the variance of the number of events is smaller than with the sequential probability ratio test (open design) and analysis after every twenty new events does not alter the statistical properties of these sequential methods and enhances their usefulness.     

Post-surgical pain relief with zero-order intravenous infusions of meptazinol and morphine: a double-blind placebo-controlled evaluation of their effects on ventilation

Summary A double-blind, placebo-controlled study has been made of the analgesic and respiratory effects of constant rate infusions of meptazinol and morphine in 30 patients after abdominal surgery. Group I received meptazinol, loading dose 50 mg followed by i.v. infusion 0.5 mg · kg⁻¹ · h⁻¹, Group II received morphine, loading dose 5 mg and then an infusion of 0.05 mg · kg⁻¹ · h⁻¹, and Group III received saline. After recovery from inhalation anaesthesia (without opiates or a local anaesthetic) pain relief and chemoreceptor carbon dioxide tolerance were assessed before and at various times after starting the analgesic infusion. A similar degree of pain relief was found after 10 min in Groups I and II, which lasted until the end of observation period (20 h). Heart rate and systolic and diastolic blood pressures were lower in Group II than in Groups I and III, and respiratory rate fell in Groups I and II. After 6 h arterial carbon dioxide tensions (P_aCO₂) became significantly higher in Group II than Group III. The maximum percentage fall in mean tidal volume (V_T) and expired minute volume (0V_E) from the preinjection values was significant in Groups I and II. End-tidal carbon-dioxide (P_ETCO₂) and P_aCO₂ were significantly higher after 20 h of infusion in Group II compared to Group I. The slope of 0V_E/P_ETCO₂ (<S>) was increased in Group I and it was significantly reduced in Group II. Analysis of derived variables, such as the CO₂ intercept (CO₂I) and minute ventilation at 7 kPa (0V_E7), indicated a shift to the right of the slopes in Groups I and II, initially more so in Group I. It is concluded that constant rate infusions of meptazinol and morphine were effective in providing postoperative pain relief. However, their effects on the central regulation of respiration were different, as meptazinol did not impair CO₂ sensitivity whereas morphine did.     

多巴酚丁胺负荷超声心动图试验

对多巴酚丁胺负荷超声心动图试验诊断冠心病的理论基础、方法学及临床应用价值作一综述     

Effect of ceruletide on microvibration in schizophrenics

Ceruletide, a potent analogue of cholecystokinin, was administered by injection to eight schizophrenics treated with neuroleptics. We examined the dose–response effect on microvibration (MV) recorded from the chin of these patients. After 15 min of bed rest, MV was recorded for 5 min as a control recording. Subsequently, saline or ceruletide, at a dose of either 0.4 m?g/kg or at 0.8 m?g/kg, was injected according to a Latin square design with an interval of 4 weeks for washing out the drug effect and MV was recorded for 30 min. MV data obtained were subjected to the fast Fourier transform and an average power spectrum was computed. A three-way analysis of variance for these data was performed upon dose-effect, time-effect after treatment, and band-effect of the average power spectrum. The present results were similar to previous findings which had revealed effects of ceruletide on tardive dyskinesia symptoms, namely, the effects of ceruletide on MV were different according to the subjects (three cases: facilitation followed by inhibition, three cases: inhibition, two cases: no effects). The dose-response curve of ceruletide appears to be linear in some cases and an inverted U-shape in other cases. Present findings showed small doses of systemically administered ceruletide would modify muscle tonus of schizophrenics under chronic treatment of neuroleptics, and provided further reason for the therapeutic drug of tardive dyskinesia.     

Reversal of stress-induced anhedonia by the dopamine receptor agonist,pramipexole

Chronic exposure to mild unpredictable stress has previously been found to depress the consumption of a palatable (1%) sucrose solution, and to attenuate food-induced place preference conditioning. In this study the effects of pramipexole (SND-919), a dopamine D₂ agonist, were studied during 7–9 weeks of chronic treatment. Pramipexole (1.0 mg/kg per day) reversed the suppression of sucrose intake in stressed animals, increasing sucrose intakes above the levels seen in untreated nonstressed controls. Pramipexole also increased sucrose intake in nonstressed animals; these effects were accompanied by increases in water intake and tended to correlate with weight loss. Drug-treated stressed animals also lost weight, but in this case water intake was unaffected. A second group of animals received a higher dose of pramipexole (2.0 mg/kg per day). The effects of the two doses were very similar. After three weeks of treatment, these animals were switched to a lower dose of pramipexole (0.1 mg/kg per day). Increases in sucrose intake were maintained over three weeks of treatment at the lower dose, with significant recovery of body weight. Two further groups received the same doses of pramipexole (1.0 mg/kg for 6 weeks or 2.0 mg/kg for 3 weeks followed by 0.1 mg/kg thereafter), but received intermittent (twice-weekly) drug treatment. Intermittent pramipexole treatments also tended to increase sucrose intakes, but the results were less consistent from week to week. Following 6–8 weeks of pramipexole treatment, food-induced place preference conditioning was studied in all animals. Untreated stressed animals showed no evidence of place conditioning. Normal conditioning was seen in both groups of stressed animals treated daily with pramipexole (at 1.0 and 0.1 mg/kg) and in the group treated twice weekly at the higher dose (1.0 mg/kg); intermittent treatment at the lower dose (0.1 mg/kg) was ineffective. The results indicate that pramipexole exerts rapid anti-anhedonic effects in the chronic mild stress model. This conclusion is complicated, but not undermined, by drug-induced weight loss and by the presence of significant drug effects in nonstressed control animals.