Newton's early computational method for dynamics

On December 13, 1679Newton sent a letter toHooke on orbital motion for central forces, which contains a drawing showing an orbit for a constant value of the force. This letter is of great importance, because it reveals the state ofNewton's development of dynamics at that time. Since the first publication of this letter in 1929,Newton's method of constructing this orbit has remained a puzzle particularly because he apparently made a considerable error in the angle between successive apogees of this orbit. In fact, it is shown here thatNewton's implicitcomputation of this orbit is quite good, and that the error in the angle is due mainly toan error of drawing in joining two segments of the oribit, whichNewton related by areflection symmetry. In addition, in the letterNewton describes quite correctly the geometrical nature of orbits under the action of central forces (accelerations) which increase with decreasing distance from the center. An iterative computational method to evaluate orbits for central forces is described, which is based onNewton's mathematical development of the concept of curvature started in 1664. This method accounts very well for the orbit obtained byNewton for a constant central force, and it gives convergent results even for forces which diverge at the center, which are discussed correctly inNewton's letterwithout usingKepler's law of areas.Newton found the relation of this law to general central forces only after his correspondence withHooke. The curvature method leads to an equation of motion whichNewton could have solvedanalytically to find that motion on a conic section with a radial force directed towards a focus implies an inverse square force, and that motion on a logarithmic spiral implies an inverse cube force.     

Sequence of Plasmodium falciparum chromosomes 2, 10, 11 and 14

The mosquito-borne malaria parasite Plasmodium falciparum kills an estimated 0.7-2.7 million people every year, primarily children in sub-Saharan Africa. Without effective interventions, a variety of factors-including the spread of parasites resistant to antimalarial drugs and the increasing insecticide resistance of mosquitoes-may cause the number of malaria cases to double over the next two decades. To stimulate basic research and facilitate the development of new drugs and vaccines, the genome of Plasmodium falciparum clone 3D7 has been sequenced using a chromosome-by-chromosome shotgun strategy. We report here the nucleotide sequences of chromosomes 10, 11 and 14, and a re-analysis of the chromosome 2 sequence. These chromosomes represent about 35% of the 23-megabase P. falciparum genome.     

Mutations in genes encoding melanosomal proteins cause pigmentary glaucoma in DBA/2J mice.

Pigmentary glaucoma is a significant cause of human blindness. Abnormally liberated iris pigment and cell debris enter the ocular drainage structures, leading to increased intraocular pressure (IOP) and glaucoma. DBA/2J (D2) mice develop a form of pigmentary glaucoma involving iris pigment dispersion (IPD) and iris stromal atrophy (ISA). Using high-resolution mapping techniques, sequencing and functional genetic tests, we show that IPD and ISA result from mutations in related genes encoding melanosomal proteins. IPD is caused by a premature stop codon mutation in the Gpnmb (GpnmbR150X) gene, as proved by the occurrence of IPD only in D2 mice that are homozygous with respect to GpnmbR150X; otherwise, similar D2 mice that are not homozygous for GpnmbR150X do not develop IPD. ISA is caused by the recessive Tyrp1b mutant allele and rescued by the transgenic introduction of wildtype Tyrp1. We hypothesize that IPD and ISA alter melanosomes, allowing toxic intermediates of pigment production to leak from melanosomes, causing iris disease and subsequent pigmentary glaucoma. This is supported by the rescue of IPD and ISA in D2 eyes with substantially decreased pigment production. These data indicate that pigment production and mutant melanosomal protein genes may contribute to human pigmentary glaucoma. The fact that hypopigmentation profoundly alleviates the D2 disease indicates that therapeutic strategies designed to decrease pigment production may be beneficial in human pigmentary glaucoma.     

Microsatellites are preferentially associated with nonrepetitive DNA in plant genomes.

Microsatellites are a ubiquitous class of simple repetitive DNA sequence. An excess of such repetitive tracts has been described in all eukaryotes analyzed and is thought to result from the mutational effects of replication slippage. Large-scale genomic and EST sequencing provides the opportunity to evaluate the abundance and relative distribution of microsatellites between transcribed and nontranscribed regions and the relationship of these features to haploid genome size. Although this has been studied in microbial and animal genomes, information in plants is limited. We assessed microsatellite frequency in plant species with a 50-fold range in genome size that is mostly attributable to the recent amplification of repetitive DNA. Among species, the overall frequency of microsatellites was inversely related to genome size and to the proportion of repetitive DNA but remained constant in the transcribed portion of the genome. This indicates that most microsatellites reside in regions pre-dating the recent genome expansion in many plants. The microsatellite frequency was higher in transcribed regions, especially in the untranslated portions, than in genomic DNA. Contrary to previous reports suggesting a preferential mechanism for the origin of microsatellites from repetitive DNA in both animals and plants, our findings show a significant association with the low-copy fraction of plant genomes.     

系统发育史的重建

不同的物种是怎样进化形成不同的形态 ,这仍是现代进化生物学中研究的主要课题。近年来 ,对这一问题的研究已集中在由于进化时间的不同而导致进化机制变化的模型上 ,并在解开机体发育期间控制形态表现的分子机理方面取得了惊人的进展。值得注意的是 :形态的表型和一些调节基因的突变大致反映了物种间所表现的差异。通过分析生物的系统发育 ,重新构建系统发育史 ,可以阐明控制发育过程和进化发育的相关时间的遗传网络的分子进化机制。与系统发育进化有关的信息影印在组成它们的基因片段上。存在于这些发育位点的信息可以使人们追踪到发育调节…     

宇宙生命化:一个真实的人类未来图景

近几年来，人类在所有科学领域取得成果的速率在惊人地加快。当我们拓展对地球的控制时，同时也在准备重塑和改造地球上的景观，为自己到地球外居住作准备。几个世纪以来，我们已经花大力改造了地球，现在，我们正准备把宇宙转变成一个充满生命的有生气的实体。我们将通过把我们的意识、技能、智力以及我们自身扩展到其他行星上来实现这个目标。我们把人类改变和改善地球环境（最终是宇宙本身）的努力总称为“生命化”。生命化是调节人类行为的一种力量，赋予地球并最终赋予整个宇宙以意识和智慧，是全部人类生产活动背后的原动力。然而，为…     

An Experimental Study of Aspect Ratio on the Tensile Properties of an Elastic Fabric for Making-up of Pressure Garments

The“cut-and-sewn” pressure garments are normally tailored made in various sizes according to the size of human body as well as the area of burn wounds.When a tubular pressure garment is cut in different length and width measurements,different aspect ratio will be occurred on the elastic fabric for making up the pressuregarment. Many therapists in Hong Kong concerned the change of aspect ratio may affect the tensile properties of the elastic fabric and ultimately will affect the skin-and-garment interface pressure for the patient.The aim of     

The complexity of reconstructing trees from qualitative characters and subtrees

In taxonomy and other branches of classification it is useful to know when tree-like classifications on overlapping sets of labels can be consistently combined into a parent tree. This paper considers the computation complexity of this problem. Recognizing when a consistent parent tree exists is shown to be intractable (NP-complete) for sets of unrooted trees, even when each tree in the set classifies just four labels. Consequently determining the compatibility of qualitative characters and partial binary characters is, in general, also NP-complete. However for sets of rooted trees an algorithm is described which constructs the “strict consensus tree” of all consistent parent trees (when they exist) in polynomial time. The related question of recognizing when a set of subtrees uniquely defines a parent tree is also considered, and a simple necessary and sufficient condition is described for rooted trees. This work was supproted by the Alexander von Humoldt-Stiftung. I wish to thank Andreas Dress, Hans-Jürgen Bandelt and the referees for their helpful comments.