Harvesting and seeding of stochastic populations: analysis and numerical approximation

Journal of Mathematical Biology - We study an ecosystem of interacting species that are influenced by random environmental fluctuations. At any point in time, we can either harvest or seed...     

Osmotic hemolysis contrasted with freeze-thaw hemolysis

Red blood cell ghosts resulting from osmotic hemolysis in the presence of Mg ions (Mg ghosts) and ghosts resulting from slow freeze-thaw process (freeze-thaw ghosts) differ in many respects: (1) Mg ghosts spontaneously take on the disc shape immediately after hemolysis and resuspension in buffered salt solution; whereas freeze-thaw ghosts are spherical; (2) Mg ghosts appear to be less hemolyzed than freeze-thaw ghosts; (3) washed and cold-stored Mg ghosts contract or become biconcave discs when exposed to 30 μmoles of ATP/10⁹ ghosts at 37 °C; whereas freeze-thaw ghosts under similar conditions break up into microspheres and membrane filaments; (4) Mg ghosts become crenated discs and spheres when rehemolyzed and resuspended in buffered salt solution; whereas freeze-thaw ghosts tend to fragment; (5) the ATPase activity of Mg ghosts, particularly the nontransport ATPase activity, is considerably less than that of freeze-thaw ghosts.     

Ultrasound hemolysis

An ultrasound unit for hemolysis for an analytic device is presented which permits hemolysis without the need of a specific insonification chamber which is an unwanted discontinuity along the probe path. This is possible by direct insonification of a flexible tube which contains the flowing blood. The influence of ultrasound power, insonification time and coupling conditions on the result of hemolysis is investigated.     

渐近周期的Logistic方程

主要研究了渐近周期的Logistic方程,得到了渐近周期解的存在唯一性,全局吸引性;进一步得到渐近周期函数对加减乘除,导数,微分,复合函数运算的封闭性;渐近周期函数空间是Banach空间,并得到高维系统下的渐近周期函数空间是Banach空间．     

Using numerical approximation as an intermediate step in analytical derivations: some observations from biomechanics

We present four examples to illustrate the use of a type of numerical approximation as an intermediate step in analytical derivation of seemingly complicated biomechanical equations. The method involves examination of curve shapes to elucidate useful underlying trends, which may otherwise be overlooked through consideration of only the equations themselves. Two examples of the method's use are drawn from recently published results in the area of experimental methods in biomechanics of very soft tissues, and two others are taken from our current work on cartilage tissue mechanics. We think that such observations provide a useful means of circumventing complexity issues when deriving models for biomechanical analysis, and further that the method, while simple in concept, could be effective in a range of biomechanics applications.     

Asymptotically efficient partial diallel crosses

Summary The asymptotic efficiency of partial diallel crosses is defined, and circulant plans having such a property are identified. In the absence of an optimal plan to suit his requirements, the breeder should opt for suggested plans to derive maximum information for given resources.     

Studies on cysteine-induced hemolysis

Two mechanisms of cysteine-induced lysis of washed rat erythrocytes appear to exist; one operating at low, the other at somewhat higher cysteine concentration. DETAPAC (20 microM) and EDTA (0.1 mM) markedly reduced the effect of the latter mechanism. Copper and iron ions, ascorbate, dehydroascorbate and glucose protected the erythrocytes against cysteine-induced hemolysis, while superoxide dismutase, catalase, hydroxyl radical scavengers and antioxidants had no effect. The hemolytic action of cysteine seems to be associated with the stability of the cysteine sulfhydryl group.     

Estimators Asymptotically Minimax in Wide Sense

Estimators of location are considered. Huber (1964) introduced estimators asymptotically minimax on the set ?? of all regular M-estimators, for a given contamination ε and for the set Q of all regular symmetric alternative data sources. We extend his concept by admitting arbitrary sets ?? of regular M-estimators and arbitrary sets Q or regular symmetric alternative sources, and also by replacing the singletons [ε] ? (0, 1) by arbitrary subsets ?? ? (0, 1). The resulting estimator cannot in general be evaluated explicitly. But for finite T it exists and, if ?? and Q are finite too, it may be chosen by a computer. This extra burden is justified in some cases since more than 100% relative efficiency gain against all Huber's Hk is achievable in this manner. Such gains are achieved for a nontrivial family Q by the estimator proposed in Vajda (1984), with redescending influence curve, which is shown to be asymptotically minimax in wide sense.