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1.
Article in English | MEDLINE | ID: mdl-24483391

ABSTRACT

We use numerical Monte Carlo simulation to study the kinetics of the deposition of oriented superdisks, bounded by the Lame curves of the form |x|(2p)+|y|(2p)=1 on a regular planar substrate. Recently, it was shown that the maximum packing density as well as jamming density ρ(J) exhibit a discontinuous derivative at p=0.5 when the shape changes from convex to concave form. By careful examination of the late-stage approach to the jamming limit, we find that the leading term in the temporal development is also nonanalytic at p=0.5 and offer heuristic excluded-area arguments for this behavior.

2.
Phys Rev E Stat Nonlin Soft Matter Phys ; 84(5 Pt 1): 051601, 2011 Nov.
Article in English | MEDLINE | ID: mdl-22181424

ABSTRACT

The properties of the anisotropic random sequential adsorption (RSA) of objects of various shapes on a two-dimensional triangular lattice are studied numerically by means of Monte Carlo simulations. The depositing objects are formed by self-avoiding lattice steps, whereby the first step determines the orientation of the object. Anisotropy is introduced by positing unequal probabilities for orientation of depositing objects along different directions of the lattice. This probability is equal p or (1-p)/2, depending on whether the randomly chosen orientation is horizontal or not, respectively. Approach of the coverage θ(t) to the jamming limit θ(jam) is found to be exponential θ(jam)-θ(t)is proportional to exp(-t/σ), for all probabilities p. It was shown that the relaxation time σ increases with the degree of anisotropy in the case of elongated and asymmetrical shapes. However, for rounded and symmetrical shapes, values of σ and θ(jam) are not affected by the presence of anisotropy. We finally analyze the properties of the anisotropic RSA of polydisperse mixtures of k-mers. Strong dependencies of the parameter σ and the jamming coverage θ(jam) on the degree of anisotropy are obtained. It is found that anisotropic constraints lead to the increased contribution of the longer k-mers in the total coverage fraction of the mixture.


Subject(s)
Adsorption , Models, Theoretical , Anisotropy , Probability , Stochastic Processes , Time Factors
3.
J Neurosci Res ; 79(5): 628-37, 2005 Mar 01.
Article in English | MEDLINE | ID: mdl-15668909

ABSTRACT

Spinal cord injury (SCI) induces neuronal death, including apoptosis, which is completed within 24 hr at and around the impact site. We identified early proapoptotic transcriptional changes, including upregulation of proapoptotic Bax and downregulation of antiapoptotic Bcl-xL, Bcl-2, and Bcl-w, using Affymetrix DNA microarrays. Because Bcl-xL is the most robustly expressed antiapoptotic Bcl-2 molecule in adult central nervous system, we decided to characterize better the effect of SCI on Bcl-xL expression. We found Bcl-xL expressed robustly throughout uninjured spinal cord in both neurons and glia cells. We also found Bcl-xL localized in different cellular compartments: cytoplasmic, mitochondrial, and nuclear. Bcl-xL protein levels decreased in the cytoplasm and mitochondria 2 hr after SCI and persisted for 24 hr. To test the contribution of proapoptotic decreases in Bcl-xL to neuronal death, we augmented endogenous Bcl-xL levels by administering Bcl-xL fusion protein (Bcl-xL FP) into injured spinal cords. Bcl-xL FP significantly increased neuronal survival, suggesting that SCI-induced changes in Bcl-xL contribute considerably to neuronal death. Because Bcl-xL FP increases survival of dorsal horn neurons and ventral horn motoneurons, it could become clinically relevant in preserving sensory and motor functions after SCI.


Subject(s)
Neurons/drug effects , Oncogene Proteins, Fusion/therapeutic use , Proto-Oncogene Proteins c-bcl-2/therapeutic use , Spinal Cord Injuries/drug therapy , Animals , Blotting, Western/methods , Cell Count/methods , Cell Death/drug effects , Cell Death/physiology , Disease Models, Animal , Gene Expression Regulation/physiology , Immunohistochemistry/methods , Intracellular Signaling Peptides and Proteins/metabolism , Male , Neurons/classification , Neurons/physiology , Oligodendroglia/drug effects , Oligodendroglia/metabolism , Oligonucleotide Array Sequence Analysis/methods , Oncogene Proteins, Fusion/administration & dosage , Phosphopyruvate Hydratase/metabolism , Proto-Oncogene Proteins c-bcl-2/administration & dosage , Proto-Oncogene Proteins c-bcl-2/genetics , RNA, Messenger/metabolism , Rats , Rats, Sprague-Dawley , Time Factors , Tubulin/metabolism , bcl-X Protein
4.
Recent Prog Horm Res ; 58: 75-93, 2003.
Article in English | MEDLINE | ID: mdl-12795415

ABSTRACT

Statistical methods for analyzing data from DNA microarray experiments are reviewed. Specifically, we discuss common experimental setups, methods for data reduction and clustering, and analysis of time-course experiments. While early microarray studies focused mainly on the basic methodological and technical aspects of DNA arrays, emphasis has shifted to biological, medical, and clinical applications. We mention several of these and present results from our recent research as illustrative examples. New developments in this ever-growing field are outlined.


Subject(s)
Oligonucleotide Array Sequence Analysis/statistics & numerical data , Algorithms , Gene Expression Profiling , Humans , Mathematics , Multigene Family , Neoplasms/genetics , Oligonucleotide Array Sequence Analysis/methods , Time Factors
5.
J Neurosci Res ; 68(4): 406-23, 2002 May 15.
Article in English | MEDLINE | ID: mdl-11992467

ABSTRACT

Spinal cord injury (SCI)-induced neurodegeneration leads to irreversible and devastating motor and sensory dysfunction. Post-traumatic outcomes are determined by events occurring during the first 24 hours after SCI. An increase in extracellular glutamate concentration to neurotoxic levels is one of the earliest events after SCI. We used Affymetrix DNA oligonucleotide microarrays (with 1,322 DNA probes) analysis to measure gene expression in order to test the hypothesis that SCI-induced N-methyl-D-aspartate (NMDA) receptor activation triggers significant postinjury transcriptional changes. Here we report that SCI, 1 hour after trauma, induced change in mRNA levels of 165 genes and expression sequence tags (ESTs). SCI affected mRNA levels of those genes that regulate predominantly transcription factors, inflammation, cell survival, and membrane excitability. We also report that NMDA receptor inhibition (with -(+)-5-methyl-10,11-dihydro-5H-dibenzo[a,d]-cyclohepten-5,10-imine hydrogen maleate [MK-801]) reversed the effect of SCI on about 50% of the SCI-affected mRNAs. Especially interesting is the finding that NMDA receptor activation participates in the up-regulation of inflammatory factors. Therefore, SCI-induced NMDA receptor activation is one of the dominant, early signals after trauma that leads to changes in mRNA levels of a number of genes relevant to recovery processes. The majority of MK-801 effects on the SCI-induced mRNA changes reported here are novel. Additionally, we found that the MK-801 treatment also changed the mRNA levels of 168 genes and ESTs that had not been affected by SCI alone, and that some of their gene products could have harmful effects on SCI outcome.


Subject(s)
Gene Expression Profiling , Oligonucleotide Array Sequence Analysis , Receptors, N-Methyl-D-Aspartate/metabolism , Spinal Cord Injuries/metabolism , Animals , Cluster Analysis , Contusions , Dizocilpine Maleate/administration & dosage , Dizocilpine Maleate/pharmacology , Excitatory Amino Acid Antagonists/administration & dosage , Excitatory Amino Acid Antagonists/pharmacology , Fluorescent Antibody Technique , Injections, Spinal , Male , Neuroprotective Agents/administration & dosage , Neuroprotective Agents/pharmacology , RNA, Messenger/analysis , Rats , Rats, Sprague-Dawley , Receptors, N-Methyl-D-Aspartate/antagonists & inhibitors , Receptors, N-Methyl-D-Aspartate/genetics , Spinal Cord Injuries/genetics
6.
Dev Psychopathol ; 9(4): 881-906, 1997.
Article in English | MEDLINE | ID: mdl-9449010

ABSTRACT

Normal and abnormal personality development can be quantified in terms of 15 specific steps in the self-organization of character as a complex adaptive system. Character is measured as three dimensions of Self-directedness, Cooperativeness, and Self-transcendence, each with five components corresponding to steps in personality development. Each of these steps is differentially influenced by heritable temperament dimensions, antecedent steps in character development, and life experiences. Predictions about the nonlinear dynamics of personality development, such as equifinality and multifinality, are confirmed in longitudinal data about individuals representative of the general population. The stepwise development of character determines large differences between individuals in their risk of psychopathology, as well as varying degrees of maturity and health.


Subject(s)
Child Development , Developmental Disabilities/psychology , Internal-External Control , Personality , Self Concept , Child , Developmental Disabilities/epidemiology , Humans , Interpersonal Relations , Life Change Events , Models, Psychological , Personality Inventory , Predictive Value of Tests , Risk Factors , Social Behavior , Temperament
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