4 resultados para semilinear partial differential equation
em DigitalCommons@The Texas Medical Center
Resumo:
The induction of late long-term potentiation (L-LTP) involves complex interactions among second-messenger cascades. To gain insights into these interactions, a mathematical model was developed for L-LTP induction in the CA1 region of the hippocampus. The differential equation-based model represents actions of protein kinase A (PKA), MAP kinase (MAPK), and CaM kinase II (CAMKII) in the vicinity of the synapse, and activation of transcription by CaM kinase IV (CAMKIV) and MAPK. L-LTP is represented by increases in a synaptic weight. Simulations suggest that steep, supralinear stimulus-response relationships between stimuli (e.g., elevations in [Ca(2+)]) and kinase activation are essential for translating brief stimuli into long-lasting gene activation and synaptic weight increases. Convergence of multiple kinase activities to induce L-LTP helps to generate a threshold whereby the amount of L-LTP varies steeply with the number of brief (tetanic) electrical stimuli. The model simulates tetanic, -burst, pairing-induced, and chemical L-LTP, as well as L-LTP due to synaptic tagging. The model also simulates inhibition of L-LTP by inhibition of MAPK, CAMKII, PKA, or CAMKIV. The model predicts results of experiments to delineate mechanisms underlying L-LTP induction and expression. For example, the cAMP antagonist RpcAMPs, which inhibits L-LTP induction, is predicted to inhibit ERK activation. The model also appears useful to clarify similarities and differences between hippocampal L-LTP and long-term synaptic strengthening in other systems.
Resumo:
Diseases are believed to arise from dysregulation of biological systems (pathways) perturbed by environmental triggers. Biological systems as a whole are not just the sum of their components, rather ever-changing, complex and dynamic systems over time in response to internal and external perturbation. In the past, biologists have mainly focused on studying either functions of isolated genes or steady-states of small biological pathways. However, it is systems dynamics that play an essential role in giving rise to cellular function/dysfunction which cause diseases, such as growth, differentiation, division and apoptosis. Biological phenomena of the entire organism are not only determined by steady-state characteristics of the biological systems, but also by intrinsic dynamic properties of biological systems, including stability, transient-response, and controllability, which determine how the systems maintain their functions and performance under a broad range of random internal and external perturbations. As a proof of principle, we examine signal transduction pathways and genetic regulatory pathways as biological systems. We employ widely used state-space equations in systems science to model biological systems, and use expectation-maximization (EM) algorithms and Kalman filter to estimate the parameters in the models. We apply the developed state-space models to human fibroblasts obtained from the autoimmune fibrosing disease, scleroderma, and then perform dynamic analysis of partial TGF-beta pathway in both normal and scleroderma fibroblasts stimulated by silica. We find that TGF-beta pathway under perturbation of silica shows significant differences in dynamic properties between normal and scleroderma fibroblasts. Our findings may open a new avenue in exploring the functions of cells and mechanism operative in disease development.
Resumo:
Diseases are believed to arise from dysregulation of biological systems (pathways) perturbed by environmental triggers. Biological systems as a whole are not just the sum of their components, rather ever-changing, complex and dynamic systems over time in response to internal and external perturbation. In the past, biologists have mainly focused on studying either functions of isolated genes or steady-states of small biological pathways. However, it is systems dynamics that play an essential role in giving rise to cellular function/dysfunction which cause diseases, such as growth, differentiation, division and apoptosis. Biological phenomena of the entire organism are not only determined by steady-state characteristics of the biological systems, but also by intrinsic dynamic properties of biological systems, including stability, transient-response, and controllability, which determine how the systems maintain their functions and performance under a broad range of random internal and external perturbations. As a proof of principle, we examine signal transduction pathways and genetic regulatory pathways as biological systems. We employ widely used state-space equations in systems science to model biological systems, and use expectation-maximization (EM) algorithms and Kalman filter to estimate the parameters in the models. We apply the developed state-space models to human fibroblasts obtained from the autoimmune fibrosing disease, scleroderma, and then perform dynamic analysis of partial TGF-beta pathway in both normal and scleroderma fibroblasts stimulated by silica. We find that TGF-beta pathway under perturbation of silica shows significant differences in dynamic properties between normal and scleroderma fibroblasts. Our findings may open a new avenue in exploring the functions of cells and mechanism operative in disease development.
Resumo:
Using a human terato-carcinoma cell line, PA-1, the functional role of the oncogenes and tumor suppressor gene involved in the multistep process of carcinogenesis have been analyzed. The expression of AP-2 was strongly correlated with the susceptibility to ras transformation. The differential responsiveness to growth factors between stage 1 ras resistant cells and stage 2 ras susceptible cells was observed, indicating that the ability of stage 2 cells to respond to the mutated ras oncogenes in transformation correlated with the ability to be stimulated by certain growth factors. Using differential screening of cDNA libraries, a number of differentially expressed cDNA clones was isolated. One of those, clone 12, is overexpressed in ras transformed stage 3 cells. The amino acid sequence of clone 12 is almost identical to a mouse LLrep3 gene that was growth-regulated, and 78% similar to a yeast ribosomal protein S4. These results suggest that the S4 gene may be involved in regulation of growth. Clone 9 is expressed in stage 1 ras resistant cells (3.5-kb and 3.0-kb transcripts) but the expression of this clone in stage 2 ras susceptible cells and stage 3 ras-transformed cells is greatly diminished. The expression of this cDNA clone was increased to at least five fold in ras resistant cells and nontumorigenic hybrids treated with retinoic acid but not increased in retinoic acid treated ras susceptible cells, ras transformed cells and the tumorigenic segregants. Partial sequence of this clone showed no homology to the sequences in Genbank. These findings suggest that clone 9 could be a suppressor gene or the genes that are involved in the biochemical pathway of tumor suppression or neurogenic differentiation. The apparent pleiotropic effect of the loss of this suppressor gene function support Harris' proposal that tumor suppressor genes regulate differentiation. The tumor suppressor gene may act as negative regulator of tumor growth by controlling gene expression in differentiation. ^