Structural basis for allostery in integrins and binding to fibrinogen-mimetic therapeutics

Integrins are important adhesion receptors in all Metazoa that transmit conformational change bidirectionally across the membrane. Integrin alpha and beta subunits form a head and two long legs in the ectodomain and span the membrane. Here, we define with crystal structures the atomic basis for allosteric regulation of the conformation and affinity for ligand of the integrin ectodomain, and how fibrinogen-mimetic therapeutics bind to platelet integrin alpha(IIb)beta3. Allostery in the beta3 I domain alters three metal binding sites, associated loops and alpha1- and alpha7-helices. Piston-like displacement of the alpha7-helix causes a 62 degrees reorientation between the beta3 I and hybrid domains. Transmission through the rigidly connected plexin/semaphorin/integrin (PSI) domain in the upper beta3 leg causes a 70 A separation between the knees of the alpha and beta legs. Allostery in the head thus disrupts interaction between the legs in a previously described low-affinity bent integrin conformation, and leg extension positions the high-affinity head far above the cell surface.     

High frequency of homoplasmic mitochondrial DNA mutations in human tumors can be explained without selection

Researchers in several laboratories have reported a high frequency of homoplasmic mitochondrial DNA (mtDNA) mutations in human tumors. This observation has been interpreted to reflect a replicative advantage for mutated mtDNA copies, a growth advantage for a cell containing certain mtDNA mutations, and/or tumorigenic properties of mtDNA mutations. We consider another possibility-that the observed homoplasmy arose entirely by chance in tumor progenitor cells, without any physiological advantage or tumorigenic requirement. Through extensive computer modeling, we demonstrate that there is sufficient opportunity for a tumor progenitor cell to achieve homoplasmy through unbiased mtDNA replication and sorting during cell division. To test our model in vivo, we analyzed mtDNA homoplasmy in healthy human epithelial tissues and discovered that the model correctly predicts the considerable observed frequency of homoplasmic cells. Based on the available data on mitochondrial mutant fractions and cell division kinetics, we show that the predicted frequency of homoplasmy in tumor progenitor cells in the absence of selection is similar to the reported frequency of homoplasmic mutations in tumors. Although a role for other mechanisms is not excluded, random processes are sufficient to explain the incidence of homoplasmic mtDNA mutations in human tumors.     

一类非线性系统的稳定性

研究了一类非线性系统的输入输出稳定性问题，这类系统的特点是其模型为系统输出的线性拟函数。对非线性稳定性系统，利用稳定性的线性等价原理，提出了这一类非线性系统的稳定性判据；对非线性随机系统，给出了m阶均值意义下的稳定性定义，提出了一种二阶均值下的输入输出稳定性条件，给出了几个示例说明。