Transient Response in a Dendritic Neuron Model for Current Injected at One Branch

Mathematical expressions are obtained for the response function corresponding to an instantaneous pulse of current injected to a single dendritic branch in a branched dendritic neuron model. The theoretical model assumes passive membrane properties and the equivalent cylinder constraint on branch diameters. The response function when used in a convolution formula enables one to compute the voltage transient at any specified point in the dendritic tree for an arbitrary current injection at a given input location. A particular numerical example, for a brief current injection at a branch terminal, illustrates the attenuation and delay characteristics of the depolarization peak as it spreads throughout the neuron model. In contrast to the severe attenuation of voltage transients from branch input sites to the soma, the fraction of total input charge actually delivered to the soma and other trees is calculated to be about one-half. This fraction is independent of the input time course. Other numerical examples, which compare a branch terminal input site with a soma input site, demonstrate that, for a given transient current injection, the peak depolarization is not proportional to the input resistance at the injection site and, for a given synaptic conductance transient, the effective synaptic driving potential can be significantly reduced, resulting in less synaptic current flow and charge, for a branch input site. Also, for the synaptic case, the two inputs are compared on the basis of the excitatory post-synaptic potential (EPSP) seen at the soma and the total charge delivered to the soma.     

A Zebrafish Model for Studies on Esophageal Epithelial Biology

Mammalian esophagus exhibits a remarkable change in epithelial structure during the transition from embryo to adult. However, the molecular mechanisms of esophageal epithelial development are not well understood. Zebrafish (Danio rerio), a common model organism for vertebrate development and gene function, has not previously been characterized as a model system for esophageal epithelial development. In this study, we characterized a piece of non-keratinized stratified squamous epithelium similar to human esophageal epithelium in the upper digestive tract of developing zebrafish. Under the microscope, this piece was detectable at 5dpf and became stratified at 7dpf. Expression of esophageal epithelial marker genes (Krt5, P63, Sox2 and Pax9) was detected by immunohistochemistry and in situ hybridization. Knockdown of P63, a gene known to be critical for esophageal epithelium, disrupted the development of this epithelium. With this model system, we found that Pax9 knockdown resulted in loss or disorganization of the squamous epithelium, as well as down-regulation of the differentiation markers Krt4 and Krt5. In summary, we characterized a region of stratified squamous epithelium in the zebrafish upper digestive tract which can be used for functional studies of candidate genes involved in esophageal epithelial biology.     

A Model for the Transient Subdiffusive Behavior of Particles in Mucus

In this study we have applied a model to explain the reported subdiffusion of particles in mucus, based on the measured mean squared displacements ($MSD$). The model considers Brownian diffusion of particles in a confined geometry, made from permeable membranes. The applied model predicts a normal diffusive behavior at very short and long time lags, as observed in several experiments. In between these timescales, we find that the “subdiffusive” regime is only a transient effect, $MSD\propto {\tau }^{\alpha },\alpha <1$. The only parameters in the model are the diffusion-coefficients at the limits of very short and long times, and the distance between the permeable membranes L. Our numerical results are in agreement with published experimental data for realistic assumptions of these parameters. Finally, we show that only particles with a diameter less than 40 nm are able to pass through a mucus layer by passive Brownian motion.     

初生根伸长对环境响应的数学模型

在根组织细胞分裂和细胞体积增大亚过程基础上,建立了一个综合根生长特征参数和环境影响在内的单根伸长的数学模型,同时实验观测了大豆根在不同的环境水势下的生长过程。模型计算结果与实验结果吻合较好。最后利用模型探讨了根伸长对环境因子变化的响应,以及根内水势分布。     

A Model for Aquatic Invertebrate Response to Kissimmee River Restoration

When the Kissimmee River was channelized in the 1960s and 1970s and placed under stage-fluctuation management, the dynamic interactions between the river and the flood-plain were essentially removed. Correspondingly, aquatic invertebrate life in the river and floodplain ecosystem shifted from a riverine to a more lacustrine fauna. A relinkage of the Kissimmee River with the floodplain following restoration will result in numerous changes to such ecologically important factors as streamflow, substrate composition, food quality and quantity, and water quality, all of which will influence invertebrate communities. These factors and their function in the ecosystem as the fauna shifts from predominantly lacustrine back to riverine are presented in a conceptual model. As an integral component of all aquatic ecosystems and a key link between primary producers and higher trophic levels, aquatic invertebrates are a valuable group with which to evaluate the recovery of the Kissimmee River. Utilization of a geographic information system mapping approach linking expected increased habitat heterogeneity and invertebrate richness with restoration efforts is suggested as an economical means of monitoring recovery of the Kissimmee River ecosystem.     

A Transient Transformation System for the Functional Characterization of Genes Involved in Stress Response

In this study, we developed a simple and efficient transient transformation system, which can be used in homologous expression or reverse genetic study of the plants. A system for characterizing gene function in response to stress tolerance was also developed based on this transformation method. The overexpression and RNAi-silencing of a bZIP gene from Tamarix hispida, ThbZIP1, were performed in T. hispida using this transformation method. Real-time PCR showed that the expression of ThbZIP1 was highly up- and down-regulated in the plants with overexpression and RNAi-silenced expression of ThbZIP1, respectively, when compared with control plants (transiently transformed with empty pROK2). A physiological study showed that ThbZIP1 can enhance the activities of both peroxidase (POD) and superoxide dismutase (SOD), and decrease electrolyte leakage rate and levels of reactive oxygen species (ROS) and malondialdehyde (MDA) under salt stress conditions. Furthermore, ThbZIP1 is found to mediate stress tolerance by regulating the expression of SOD and POD genes. These results suggested that this transient transformation system is an effective method for determining the function of a gene in response to abiotic stress in plants.     

A Role for Interleukin-1 Alpha in the 1,25 Dihydroxyvitamin D3 Response in Mammary Epithelial Cells

Breast cancer is the most common non-cutaneous malignancy in American women, and better preventative strategies are needed. Epidemiological and laboratory studies point to vitamin D₃ as a promising chemopreventative agent for breast cancer. Vitamin D₃ metabolites induce anti-proliferative effects in breast cancer cells in vitro and in vivo, but few studies have investigated their effects in normal mammary epithelial cells. We hypothesized that 1,25(OH)₂D₃, the metabolically active form of vitamin D₃, is growth suppressive in normal mouse mammary epithelial cells. In addition, we have previously established a role for the cytokine interleukin-1 alpha (IL1α) in the anti-proliferative effects of 1,25(OH)₂D₃ in normal prostate cells, and so we hypothesized that IL1α is involved in the 1,25(OH)₂D₃ response in mammary cells. Evaluation of cell viability, clonogenicity, senescence, and induction of cell cycle regulators p21 and p27 supported an anti-proliferative role for 1,25(OH)₂D₃ in mammary epithelial cells. Furthermore, 1,25(OH)₂D₃ increased the intracellular expression of IL1α, which was necessary for the anti-proliferative effects of 1,25(OH)₂D₃ in mammary cells. Together, these findings support the chemopreventative potential of vitamin D₃ in the mammary gland and present a role for IL1α in regulation of mammary cell proliferation by 1,25(OH)₂D₃.     

Ubiquitin-Mediated Stress Response in a Rat Model of Brain Transient Ischemia/Hypoxia

Ubiquitin (Ub) is a small 76-residue protein, involved in intracellular protein degradation through a specific ATP-dependent system, which uses Ub as a tag to label proteins committed to be hydrolyzed by a specific 26 S protease. PGP-9.5 is another important component of the Ub system, i.e. a neuron-specific carboxyl-terminal hydrolase, which recycles Ub from Ub-polypeptide complexes. We have investigated the expression of Ub and PGP-9.5 in rat hippocampal neurons in an early phase of reperfusion in a model of transient global brain ischemia/hypoxia (bilateral occlusion of common carotid arteries for 10 min accompanied by mild hypoxia—15% O₂—for 20 min), by means of immunohistochemical methods using light and electron microscopy. The intensity of Ub and PGP-9.5 immunoreactivity was evaluated by image analysis. We have detected a marked increase of Ub immunoreactivity (UIR) in neurons of CA1, CA2, CA3, CA4, and dentate gyrus subfields 1 hr after ischemia/hypoxia (but not after hypoxia only), statistically significant as confirmed by image analysis. Such increase in immunoreactivity in ischemic/hypoxic rats was localized essentially in the nuclei of hippocampal neurons. There were no changes in PGP-9.5 immunoreactivity. The data suggest that in the present model of rat brain ischemia/hypoxia Ub is involved in the neuronal stress response.     

A Single-Parameter Model of the Immune Response to Bacterial Invasion

The human immune response to bacterial pathogens is a remarkably complex process, involving many different cell types, chemical signals, and extensive lines of communication. Mathematical models of this system have become increasingly high-dimensional and complicated, as researchers seek to capture many of the major dynamics. In this paper, we argue that, in some important instances, preference should be given to low-dimensional models of immune response, as opposed to their high-dimensional counterparts. One such model is analyzed and shown to reflect many of the key phenomenological properties of the immune response in humans. Notably, this model includes a single parameter that, when combined with a single set of reference parameter values, may be used to quantify the overall immunocompetence of individual hosts.     

The Membrane-Associated Transient Receptor Potential Vanilloid Channel Is the Central Heat Shock Receptor Controlling the Cellular Heat Shock Response in Epithelial Cells

The heat shock response (HSR) is a highly conserved molecular response to various types of stresses, including heat shock, during which heat-shock proteins (Hsps) are produced to prevent and repair damages in labile proteins and membranes. In cells, protein unfolding in the cytoplasm is thought to directly enable the activation of the heat shock factor 1 (HSF-1), however, recent work supports the activation of the HSR via an increase in the fluidity of specific membrane domains, leading to activation of heat-shock genes. Our findings support the existence of a plasma membrane-dependent mechanism of HSF-1 activation in animal cells, which is initiated by a membrane-associated transient receptor potential vanilloid receptor (TRPV). We found in various non-cancerous and cancerous mammalian epithelial cells that the TRPV1 agonists, capsaicin and resiniferatoxin (RTX), upregulated the accumulation of Hsp70, Hsp90 and Hsp27 and Hsp70 and Hsp90 respectively, while the TRPV1 antagonists, capsazepine and AMG-9810, attenuated the accumulation of Hsp70, Hsp90 and Hsp27 and Hsp70, Hsp90, respectively. Capsaicin was also shown to activate HSF-1. These findings suggest that heat-sensing and signaling in mammalian cells is dependent on TRPV channels in the plasma membrane. Thus, TRPV channels may be important drug targets to inhibit or restore the cellular stress response in diseases with defective cellular proteins, such as cancer, inflammation and aging.     

A Mathematical Model of the Inflammatory Response to Pathogen Challenge

The human body’s immune response to bacterial challenge, even when successful in controlling the infection, can result in negative consequences for the host, including reduced functionality of associated tissues. We present and analyze a low-dimensional mathematical model of this immune response to pathogen invasion, incorporating the coordinated actions of active immune cells, and both pro- and anti-inflammatory cytokines. The model simulates both the positive (pathogen reduction) and negative (local tissue dysfunction) effects of the immune response and includes the important role of immunologic memory in the process of a return to stasis. This differential equation-based model is sufficiently general to be applicable to a wide range of human tissues and organs.     

Carcinoma Initiation via Rb Tumor Suppressor Inactivation: A Versatile Approach to Epithelial Subtype-Dependent Cancer Initiation in Diverse Tissues

Carcinomas arise in a complex microenvironment consisting of multiple distinct epithelial lineages surrounded by a variety of stromal cell types. Understanding cancer etiologies requires evaluating the relationship among cell types during disease initiation and through progression. Genetically engineered mouse (GEM) models facilitate the prospective examination of early oncogenic events, which is not possible in humans. Since most solid tumors harbor aberrations in the RB network, we developed an inducible GEM approach for the establishment and assessment of carcinoma initiation in a diverse range of epithelial tissues and subtypes upon inactivation of RB-mediated tumor suppression (RB-TS). The system allows independent assessment of epithelial subtypes that express either cytokeratins (K) 18 or 19. By Cre-dependent expression of a protein that dominantly inactivates RB and functionally redundant proteins p107 and p130, neoplasia could be initiated in either K18 or K19 expressing cells of numerous tissues. By design, because only a single pathway aberration was engineered, carcinomas developed stochastically only after long latency. Hence, this system, which allows for directed cell type-specific carcinoma initiation, facilitates further definition of events that can progress neoplasms to aggressive cancers via engineered, carcinogen-induced and/or spontaneous evolution.     

α7nAChR在上皮组织的表达及其功能的研究进展

α7 nAChR是配体门控离子通道蛋白超家族的典型代表,烟碱型乙酰胆碱受体的一个重要亚型,是复杂的五聚体跨膜蛋白,介导Na^＋、Ca^2＋流入,K^＋流出,尤以对Ca^2＋通透性高。α7 nAChR分布广泛且功能多样,不仅分布于中枢和外周神经系统,介导神经元的快速突触传递,其在许多非神经元细胞和组织中亦有表达,包括内皮细胞,支气管上皮细胞,皮肤角蛋白细胞,膀胱上皮细胞,血管平滑肌等,并参与其功能调节及功能障碍相关疾病的病理生理过程,如可调节细胞质运动和细胞间黏附,细胞增殖,血管生成以及肿瘤的侵袭和迁移。本文主要介绍烟碱型乙酰胆碱受体α7 亚型在不同胚层来源的上皮组织细胞中的表达及其功能特征,以期通过激活或抑制α7 nAChR的表达来降低与其密切相关疾病的发生率。     

MouseSprr2Genes: A Clustered Family of Genes Showing Differential Expression in Epithelial Tissues

Small proline-rich (SPR) proteins are structural components of the cornified cell envelope of stratified squamous epithelia. They are subdivided into three families, i.e., SPR1, SPR2, and SPR3, of which the SPR2 family is the most complex. To understand the significance of this complexity, we have isolated 11 mouseSprr2genes, constructed a provisional physical map of theSprr2locus on mouse Chromosome 3, and examined the expression patterns of theSprr2genes in mouse epithelial tissues. The 11Sprr2sequences are highly conserved with a central domain containing a variable number of repeats.In situhybridization showed theSprr2expression to be confined to epithelia. RT-PCR using primers specific for each of the 11Sprr2members demonstrated varying degrees of expression among the individualSprr2members in different tissues. The correlation between the physical location of the genes in theSprr2locus and their expression patterns suggests multiple levels of controlled expression.     

Controlling Epithelial Polarity: A Human Enteroid Model for Host-Pathogen Interactions

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A Model for the Transient and Steady-State Mechanical Behavior of Contracting Muscle

A model was developed which can simulate both the transient and steady-state mechanical behavior of contracting skeletal striated muscle. Thick filament cross-bridges undergo cycles of attachment to and detachment from thin filament sites. Cross-bridges can attach only while in the first of two stable states. Force is then generated by a transition to the second state after which detachment can occur. Cross-bridges are assumed to be connected to the thin filaments by an elastic element whose extension or compression influences the rate constants for attachment, detachment, and changes between states. The model was programmed for a digital computer and attempts made to match both the transient and the steady-state responses of the model to that of real muscle in two basic types of experiment: force response to sudden change in length and length response to sudden reduction of load from P_o. Values for rate constants and other parameters were chosen to try to match the model's output to results from real muscles, while at the same time trying to accommodate structural and biochemical information.