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1.
Methods ; 192: 25-34, 2021 08.
Article in English | MEDLINE | ID: mdl-32798654

ABSTRACT

Cumulative experimental studies have demonstrated the critical roles of microRNAs (miRNAs) in the diverse fundamental and important biological processes, and in the development of numerous complex human diseases. Thus, exploring the relationships between miRNAs and diseases is helpful with understanding the mechanisms, the detection, diagnosis, and treatment of complex diseases. As the identification of miRNA-disease associations via traditional biological experiments is time-consuming and expensive, an effective computational prediction method is appealing. In this study, we present a deep learning framework with variational graph auto-encoder for miRNA-disease association prediction (VGAE-MDA). VGAE-MDA first gets the representations of miRNAs and diseases from the heterogeneous networks constructed by miRNA-miRNA similarity, disease-disease similarity, and known miRNA-disease associations. Then, VGAE-MDA constructs two sub-networks: miRNA-based network and disease-based network. Combining the representations based on the heterogeneous network, two variational graph auto-encoders (VGAE) are deployed for calculating the miRNA-disease association scores from two sub-networks, respectively. Lastly, VGAE-MDA obtains the final predicted association score for a miRNA-disease pair by integrating the scores from these two trained networks. Unlike the previous model, the VGAE-MDA can mitigate the effect of noises from random selection of negative samples. Besides, the use of graph convolutional neural (GCN) network can naturally incorporate the node features from the graph structure while the variational autoencoder (VAE) makes use of latent variables to predict associations from the perspective of data distribution. The experimental results show that VGAE-MDA outperforms the state-of-the-art approaches in miRNA-disease association prediction. Besides, the effectiveness of our model has been further demonstrated by case studies.


Subject(s)
MicroRNAs/genetics , Algorithms , Computational Biology , Humans , Neural Networks, Computer
2.
BMC Bioinformatics ; 21(Suppl 2): 79, 2020 Mar 11.
Article in English | MEDLINE | ID: mdl-32164526

ABSTRACT

BACKGROUND: Disease gene prediction is a critical and challenging task. Many computational methods have been developed to predict disease genes, which can reduce the money and time used in the experimental validation. Since proteins (products of genes) usually work together to achieve a specific function, biomolecular networks, such as the protein-protein interaction (PPI) network and gene co-expression networks, are widely used to predict disease genes by analyzing the relationships between known disease genes and other genes in the networks. However, existing methods commonly use a universal static PPI network, which ignore the fact that PPIs are dynamic, and PPIs in various patients should also be different. RESULTS: To address these issues, we develop an ensemble algorithm to predict disease genes from clinical sample-based networks (EdgCSN). The algorithm first constructs single sample-based networks for each case sample of the disease under study. Then, these single sample-based networks are merged to several fused networks based on the clustering results of the samples. After that, logistic models are trained with centrality features extracted from the fused networks, and an ensemble strategy is used to predict the finial probability of each gene being disease-associated. EdgCSN is evaluated on breast cancer (BC), thyroid cancer (TC) and Alzheimer's disease (AD) and obtains AUC values of 0.970, 0.971 and 0.966, respectively, which are much better than the competing algorithms. Subsequent de novo validations also demonstrate the ability of EdgCSN in predicting new disease genes. CONCLUSIONS: In this study, we propose EdgCSN, which is an ensemble learning algorithm for predicting disease genes with models trained by centrality features extracted from clinical sample-based networks. Results of the leave-one-out cross validation show that our EdgCSN performs much better than the competing algorithms in predicting BC-associated, TC-associated and AD-associated genes. de novo validations also show that EdgCSN is valuable for identifying new disease genes.


Subject(s)
Alzheimer Disease/genetics , Breast Neoplasms/genetics , Protein Interaction Maps , Thyroid Neoplasms/genetics , Alzheimer Disease/pathology , Area Under Curve , Breast Neoplasms/pathology , Cluster Analysis , Female , Humans , Logistic Models , Models, Theoretical , Proteins/metabolism , ROC Curve , Thyroid Neoplasms/pathology
3.
Nat Prod Res ; 34(3): 398-404, 2020 Feb.
Article in English | MEDLINE | ID: mdl-30602316

ABSTRACT

Two new phenolic glycosides, named lanatusosides C (1) and D (2), together with four known compounds (3-6), were isolated from the seeds of Citrullus lanatus. Among them, compounds 3 and 4 were isolated from Cucurbitaceae for the first time, and compound 5 was reported from this plant for the first time. Their structures were elucidated by means of extensive spectral analysis, including HR-ESI-MS, 1H and 13C NMR techniques. The isolated new compounds were evaluated for cytotoxic activity against HepG2 cell line, of which compound 1 demonstrated weak cytotoxicity against the tested cell line.


Subject(s)
Citrullus/chemistry , Glycosides/isolation & purification , Seeds/chemistry , Cucurbitaceae , Drug Screening Assays, Antitumor , Glycosides/chemistry , Glycosides/toxicity , Hep G2 Cells , Humans , Molecular Structure , Phenols/chemistry , Phenols/isolation & purification , Phenols/toxicity
4.
Bioinformatics ; 35(19): 3735-3742, 2019 10 01.
Article in English | MEDLINE | ID: mdl-30825303

ABSTRACT

MOTIVATION: Computationally predicting disease genes helps scientists optimize the in-depth experimental validation and accelerates the identification of real disease-associated genes. Modern high-throughput technologies have generated a vast amount of omics data, and integrating them is expected to improve the accuracy of computational prediction. As an integrative model, multimodal deep belief net (DBN) can capture cross-modality features from heterogeneous datasets to model a complex system. Studies have shown its power in image classification and tumor subtype prediction. However, multimodal DBN has not been used in predicting disease-gene associations. RESULTS: In this study, we propose a method to predict disease-gene associations by multimodal DBN (dgMDL). Specifically, latent representations of protein-protein interaction networks and gene ontology terms are first learned by two DBNs independently. Then, a joint DBN is used to learn cross-modality representations from the two sub-models by taking the concatenation of their obtained latent representations as the multimodal input. Finally, disease-gene associations are predicted with the learned cross-modality representations. The proposed method is compared with two state-of-the-art algorithms in terms of 5-fold cross-validation on a set of curated disease-gene associations. dgMDL achieves an AUC of 0.969 which is superior to the competing algorithms. Further analysis of the top-10 unknown disease-gene pairs also demonstrates the ability of dgMDL in predicting new disease-gene associations. AVAILABILITY AND IMPLEMENTATION: Prediction results and a reference implementation of dgMDL in Python is available on https://github.com/luoping1004/dgMDL. SUPPLEMENTARY INFORMATION: Supplementary data are available at Bioinformatics online.


Subject(s)
Computational Biology , Deep Learning , Algorithms , Gene Ontology , Protein Interaction Maps
5.
Article in English | MEDLINE | ID: mdl-29990218

ABSTRACT

Disease gene prediction is a challenging task that has a variety of applications such as early diagnosis and drug development. The existing machine learning methods suffer from the imbalanced sample issue because the number of known disease genes (positive samples) is much less than that of unknown genes which are typically considered to be negative samples. In addition, most methods have not utilized clinical data from patients with a specific disease to predict disease genes. In this study, we propose a disease gene prediction algorithm (called dgSeq) by combining protein-protein interaction (PPI) network, clinical RNA-Seq data, and Online Mendelian Inheritance in Man (OMIN) data. Our dgSeq constructs differential networks based on rewiring information calculated from clinical RNA-Seq data. To select balanced sets of non-disease genes (negative samples), a disease-gene network is also constructed from OMIM data. After features are extracted from the PPI networks and differential networks, the logistic regression classifiers are trained. Our dgSeq obtains AUC values of 0.88, 0.83, and 0.80 for identifying breast cancer genes, thyroid cancer genes, and Alzheimer's disease genes, respectively, which indicates its superiority to other three competing methods. Both gene set enrichment analysis and predicted results demonstrate that dgSeq can effectively predict new disease genes.


Subject(s)
Computational Biology/methods , Neoplasms , Protein Interaction Maps/genetics , RNA/genetics , Databases, Genetic , Humans , Neoplasms/classification , Neoplasms/genetics , Neoplasms/metabolism , RNA/metabolism , ROC Curve , Sequence Analysis, RNA/methods
6.
Sci Rep ; 7: 40530, 2017 01 11.
Article in English | MEDLINE | ID: mdl-28074937

ABSTRACT

This study aimed to investigate the less known activation pattern of T lymphocyte populations and immune checkpoint inhibitors on immunocytes in patients with bipolar II disorder depression (BD) or major depression (MD). A total of 23 patients with BD, 22 patients with MD, and 20 healthy controls (HCs) were recruited. The blood cell count of T lymphocyte subsets and the plasma level of cytokines (IL-2, IL-4, IL-6, IL-10, TNF-α, and IFN-γ) were selectively investigated. The expression of T-cell immunoglobulin and mucin-domain containing-3 (TIM-3), programmed cell death protein 1 (PD-1) and its ligands, PD-L1 and PD-L2, on T lymphocytes and monocytes, was detected. In results, blood proportion of cytotoxic T cells significantly decreased in BD patients than in either MD patients or HCs. The plasma level of IL-6 increased in patients with BD and MD. The expression of TIM-3 on cytotoxic T cells significantly increased, whereas the expression of PD-L2 on monocytes significantly decreased in patients with BD than in HCs. These findings extended our knowledge of the immune dysfunction in patients with affective disorders.


Subject(s)
Bipolar Disorder/blood , Bipolar Disorder/immunology , Cytokines/blood , Depressive Disorder, Major/blood , Depressive Disorder, Major/immunology , T-Lymphocyte Subsets/immunology , Adult , B7-H1 Antigen/metabolism , Case-Control Studies , Demography , Female , Humans , Killer Cells, Natural/immunology , Lymphocyte Activation/immunology , Male
7.
J Ethnopharmacol ; 193: 531-537, 2016 Dec 04.
Article in English | MEDLINE | ID: mdl-27717904

ABSTRACT

ETHNOPHARMACOLOGICAL RELEVANCE: Citrullus lanatus ssp. vulgaris var. megalaspermus Lin et Chao, was also known as watermelon belongs to family Cucurbitaceae, variously used as healthy food and in the treatment of liver and lungs problems. Currently, Citrullus lanatus has become a major economic crop of medicinal and edible effects with regional characteristics. AIM: This study was designed to evaluate the hepatoprotective and antioxidant activity of the seed melon (Citrullus lanatus ssp. vulgaris var. megalaspermus Lin et Chao) extract (SME) against carbon tetrachloride (CCl4) induced hepatic fibrosis in mice. MATERIALS AND METHODS: In this study, mice were randomly divided into 7 groups, including normal control, model, silymarin tablets as the positive control, SME 100, 200, 400, and 800mg/kg. After 8 weeks, activities of serum alanine aminotransferase (ALT), aspartate aminotransferase (AST), triglycerides (TG), hyaluronic acid (HA) and laminin (LN) were checked. The levels of antioxidant enzymes such as superoxide dismutase (SOD), glutataion (GSH) and glutathione peroxidase (GSH-Px) were determined after SME administration. The hydroxyproline (HYP) levels, malondialdehyde (MDA) levels and histopathologic examinations of hepatocyte fibrosis were also determined. Additionally, effects of SME on alpha-smooth muscle actin (α-SMA) and transforming growth factor beta-1(TGF-ß1) protein expressions were determined. RESULTS: We found that SME could significantly lower the serum levels of hepatic enzyme markers AST, ALT, HA and LN (P<0.01). Compared with the CCl4-only treatment group, levels of hepatic SOD and GSH-Px were significantly increased, and the MDA levels were remarkably decreased in mice treated by SME at medium dose (400mg/kg) and high dose (800mg/kg) (P<0.01). A histological examination of the liver showed that lesions, including necrosis, lymphocyte infiltration and fatty degeneration, were partially healed by treatment with SME. The results of protein expressions studies displayed that SME could inhibit α-SMA and TGF-ß1 protein expression (P<0.01). CONCLUSION: The present results suggested that protective effect of SME against CCl4-induced hepatic fibrosis may rely on its effect on reducing oxidative stress and improving drug metabolizing enzyme activity in liver.


Subject(s)
Antioxidants/pharmacology , Carbon Tetrachloride , Chemical and Drug Induced Liver Injury/prevention & control , Citrullus/chemistry , Liver Cirrhosis/prevention & control , Liver/drug effects , Oxidative Stress/drug effects , Plant Extracts/pharmacology , Seeds/chemistry , Silymarin/pharmacology , Actins/metabolism , Animals , Antioxidants/isolation & purification , Biomarkers/blood , Chemical and Drug Induced Liver Injury/blood , Chemical and Drug Induced Liver Injury/enzymology , Chemical and Drug Induced Liver Injury/pathology , Cytoprotection , Enzymes/blood , Hydroxyproline/metabolism , Liver/enzymology , Liver/pathology , Liver Cirrhosis/blood , Liver Cirrhosis/enzymology , Liver Cirrhosis/pathology , Male , Mice , Necrosis , Phytotherapy , Plant Extracts/isolation & purification , Plants, Medicinal , Signal Transduction/drug effects , Transforming Growth Factor beta1/metabolism
8.
Zhongguo Zhong Yao Za Zhi ; 41(13): 2455-2459, 2016 Jul.
Article in Chinese | MEDLINE | ID: mdl-28905568

ABSTRACT

In this paper, the chemical composition of ethyl acetate parts of seed melon were studied by using ethanol re-flux method, extraction method, and isolated by column chromatography oversilica gel and Sephadex LH-20 and HPLC. The structures of the separated compounds were identified by physical-chemical methods and spectral data such as MS, ¹H-NMR, ¹³C-NMR, etc. 12 compounds were got from the plant including one new compound, 4-hydroxymet-hyl-2-methoxyphenyl 1-O-ß-D-[6'-O-(4″-hydroxybenzoyl)-glucopyranoside] (1) and 11 known compounds, uracil (2), thymine (3), 2'-deoxyuridine (4), 7,8-dimethylalloxazine (5), indole-3-carboxylic acid (6), ß-adenosine (7), 4-hydroxybenzoic acid (8), p-coumaric acid (9), cucumegastigmanesⅠ (10), 3'-methoxyl-quercetin-7-O-ß-D-glucopyranoside (11) and 3,3'-dimethyloxy-4,4'-dihydroxy-9,9'-monoepoxy lignan (12).


Subject(s)
Acetates/analysis , Cucurbitaceae/chemistry , Phytochemicals/analysis , Seeds
9.
World J Gastroenterol ; 20(22): 6974-80, 2014 Jun 14.
Article in English | MEDLINE | ID: mdl-24944491

ABSTRACT

AIM: To determine the influence of Adriamycin (ADM) on the changes in Nanog, Oct4, Sox2, as well as, in ARID1 and Wnt5b expression in liver cancer stem cells. METHODS: The MHCC97-L and HCCLM3 liver cancer cell lines were selected as the cell models in this study, and were routinely cultured. The 50% lethal dose (LD50) in the cell lines was detected by the MTT assay. Expression changes in liver cancer stem cell related genes (Nanog, Oct-4, Sox2, ARID1, and Wnt5b) were detected by western blot following treatment with ADM (LD50). RESULTS: The LD50 of ADM in MHCC97-L cells was lower than that in HCCLM3 cells (0.4123 ± 0.0236 µmol/L vs 0.5259 ± 0.0125 µmol/L, P < 0.05). Wnt5b and Nanog were expressed in both MHCC97-L and HCCLM3 cells, while only Sox2 was expressed in HCCLM3 cells. However, neither ARID1A nor Oct4 was detected in these two cell lines. Genes, related to the stem cells, showed different expression in liver cancer cells with different metastatic potential following treatment with ADM (LD50). Wnt5b protein increased gradually within 4 h of ADM (LD50) treatment, while Nanog decreased (P < 0.05). After 12 h, Wnt5b decreased gradually, while Nanog increased steadily (P < 0.05). In addition, only Sox2 was expressed in HCCLM3 cells with high metastatic potential following ADM (LD50) treatment. The expression of Sox2 increased gradually with ADM (LD50) in HCCLM3 cells (P < 0.05). CONCLUSION: ADM increased the death rate of MHCC97-L and HCCLM3 cells, while the growth suppressive effect of ADM was higher in MHCC97-L cells than in HCCLM3 cells.


Subject(s)
Antibiotics, Antineoplastic/pharmacology , Doxorubicin/pharmacology , Homeodomain Proteins/metabolism , Liver Neoplasms/metabolism , Neoplastic Stem Cells/drug effects , Nuclear Proteins/metabolism , Octamer Transcription Factor-3/metabolism , SOXB1 Transcription Factors/metabolism , Transcription Factors/metabolism , Wnt Proteins/metabolism , Cell Line, Tumor , Cell Proliferation/drug effects , Cell Survival/drug effects , DNA-Binding Proteins , Dose-Response Relationship, Drug , Humans , Inhibitory Concentration 50 , Liver Neoplasms/pathology , Nanog Homeobox Protein , Neoplastic Stem Cells/metabolism , Neoplastic Stem Cells/pathology , Time Factors
10.
Comput Math Methods Med ; 2014: 761562, 2014.
Article in English | MEDLINE | ID: mdl-24963341

ABSTRACT

Genetic regulatory networks are dynamic systems which describe the interactions among gene products (mRNAs and proteins). The internal states of a genetic regulatory network consist of the concentrations of mRNA and proteins involved in it, which are very helpful in understanding its dynamic behaviors. However, because of some limitations such as experiment techniques, not all internal states of genetic regulatory network can be effectively measured. Therefore it becomes an important issue to estimate the unmeasured states via the available measurements. In this study, we design a state observer to estimate the states of genetic regulatory networks with time delays from available measurements. Furthermore, based on linear matrix inequality (LMI) approach, a criterion is established to guarantee that the dynamic of estimation error is globally asymptotically stable. A gene repressillatory network is employed to illustrate the effectiveness of our design approach.


Subject(s)
Computational Biology/methods , Gene Regulatory Networks , Algorithms , Computer Simulation , Humans , Linear Models , Models, Genetic , Proteins/metabolism , RNA, Messenger/metabolism , Reproducibility of Results , Software , Time Factors
11.
Zhongguo Shi Yan Xue Ye Xue Za Zhi ; 22(1): 50-3, 2014 Feb.
Article in Chinese | MEDLINE | ID: mdl-24598650

ABSTRACT

This study was purposed to comparatively analyse the value of PCR and FCM for dynamic monitoring minimal residual disease (MRD) of acute promyelocytic leukemia. The patients with acute promyelocytic leukemia hospitalized in our hospital from January 2011 to December 2012 were observed and all achieved complete remission after remission induction therapy. Before the chemotherapy, the bone marrow cell morphology examination, polymerase-chain reaction (PCR) and multi-parameter flow cytometry (FCM) were performed for each patient. Then the detection results were statistically analyzed. The 477 specimens were achieved from 159 detections for 48 patients. The results showed that 3 specimens were found to be relapsed by bone marrow cell examination, and other specimens were complete remission;PCR detection confirmed 7 positive, and the FCM confirmed 19 positive. There wasn't significant difference between PCR and FCM by kappa test (P > 0.05). It is concluded that FCM is as sensitive as PCR in evaluating the treatment effect of acute promyelocytic leukemia.


Subject(s)
Flow Cytometry/methods , Leukemia, Promyelocytic, Acute/therapy , Polymerase Chain Reaction/methods , Adolescent , Adult , Aged , Female , Humans , Male , Middle Aged , Neoplasm, Residual/therapy , Prospective Studies , Young Adult
12.
ScientificWorldJournal ; 2014: 313747, 2014.
Article in English | MEDLINE | ID: mdl-24516364

ABSTRACT

Microarray technology has produced a huge body of time-course gene expression data and will continue to produce more. Such gene expression data has been proved useful in genomic disease diagnosis and drug design. The challenge is how to uncover useful information from such data by proper analysis methods such as significance analysis and clustering analysis. Many statistic-based significance analysis methods and distance/correlation-based clustering analysis methods have been applied to time-course expression data. However, these techniques are unable to account for the dynamics of such data. It is the dynamics that characterizes such data and that should be considered in analysis of such data. In this paper, we employ a nonlinear model to analyse time-course gene expression data. We firstly develop an efficient method for estimating the parameters in the nonlinear model. Then we utilize this model to perform the significance analysis of individually differentially expressed genes and clustering analysis of a set of gene expression profiles. The verification with two synthetic datasets shows that our developed significance analysis method and cluster analysis method outperform some existing methods. The application to one real-life biological dataset illustrates that the analysis results of our developed methods are in agreement with the existing results.


Subject(s)
Computational Biology/methods , Gene Expression Profiling/methods , Gene Expression , Nonlinear Dynamics , Algorithms
13.
Comput Math Methods Med ; 2013: 698341, 2013.
Article in English | MEDLINE | ID: mdl-24233242

ABSTRACT

A metabolic system consists of a number of reactions transforming molecules of one kind into another to provide the energy that living cells need. Based on the biochemical reaction principles, dynamic metabolic systems can be modeled by a group of coupled differential equations which consists of parameters, states (concentration of molecules involved), and reaction rates. Reaction rates are typically either polynomials or rational functions in states and constant parameters. As a result, dynamic metabolic systems are a group of differential equations nonlinear and coupled in both parameters and states. Therefore, it is challenging to estimate parameters in complex dynamic metabolic systems. In this paper, we propose a method to analyze the complexity of dynamic metabolic systems for parameter estimation. As a result, the estimation of parameters in dynamic metabolic systems is reduced to the estimation of parameters in a group of decoupled rational functions plus polynomials (which we call improper rational functions) or in polynomials. Furthermore, by taking its special structure of improper rational functions, we develop an efficient algorithm to estimate parameters in improper rational functions. The proposed method is applied to the estimation of parameters in a dynamic metabolic system. The simulation results show the superior performance of the proposed method.


Subject(s)
Metabolic Networks and Pathways , Models, Biological , Algorithms , Kinetics , Least-Squares Analysis , Linear Models , Nonlinear Dynamics , Systems Biology/statistics & numerical data
14.
IET Syst Biol ; 7(5): 214-22, 2013 Oct.
Article in English | MEDLINE | ID: mdl-24067422

ABSTRACT

Stability is essential for designing and controlling any dynamic systems. Recently, the stability of genetic regulatory networks has been widely studied by employing linear matrix inequality (LMI) approach, which results in checking the existence of feasible solutions to high-dimensional LMIs. In the previous study, the authors present several stability conditions for genetic regulatory networks with time-varying delays, based on M-matrix theory and using the non-smooth Lyapunov function, which results in determining whether a low-dimensional matrix is a non-singular M-matrix. However, the previous approach cannot be applied to analyse the stability of genetic regulatory networks with noise perturbations. Here, the authors design a smooth Lyapunov function quadratic in state variables and employ M-matrix theory to derive new stability conditions for genetic regulatory networks with time-varying delays. Theoretically, these conditions are less conservative than existing ones in some genetic regulatory networks. Then the results are extended to genetic regulatory networks with time-varying delays and noise perturbations. For genetic regulatory networks with n genes and n proteins, the derived conditions are to check if an n × n matrix is a non-singular M-matrix. To further present the new theories proposed in this study, three example regulatory networks are analysed.


Subject(s)
Gene Regulatory Networks , Proteins/chemistry , Algorithms , Computational Biology/methods , Computer Simulation , Humans , Models, Genetic , Models, Statistical , Neural Networks, Computer , Normal Distribution , RNA, Messenger/metabolism , Reproducibility of Results , Stochastic Processes , Time Factors
15.
IEEE Trans Nanobioscience ; 11(3): 251-8, 2012 Sep.
Article in English | MEDLINE | ID: mdl-22987131

ABSTRACT

The study of stability is essential for designing or controlling genetic regulatory networks, which can be described by nonlinear differential equations with time delays. Much attention has been paid to the study of delay-independent stability of genetic regulatory networks and as a result, many sufficient conditions have been derived for delay-independent stability. Although it might be more interesting in practice, delay-dependent stability of genetic regulatory networks has been studied insufficiently. Based on the linear matrix inequality (LMI) approach, in this study we will present some delay-dependent stability conditions for genetic regulatory networks. Then we extend these results to genetic regulatory networks with parameter uncertainties. To illustrate the effectiveness of our theoretical results, gene repressilatory networks are analyzed .


Subject(s)
Computational Biology/methods , Gene Regulatory Networks , Models, Genetic , Algorithms , Proteins/genetics , RNA, Messenger/genetics
16.
IEEE Trans Nanobioscience ; 10(4): 239-47, 2011 Dec.
Article in English | MEDLINE | ID: mdl-22157077

ABSTRACT

Notch-Delta signaling is indispensable for somitogenesis, which controls the vertebrate segmentation during embryonic development. Several theoretical models have been proposed to explain this interesting process. In zebrafish somitogenesis, genes her1, her7, delta, and their proteins plays the important roles. However, an auto-repression model with time delay involved only by her1/her7 is able to explain zebrafish somitogenesis. This paper will systematically study the dynamics of this model. Specifically we investigate its stability, bifurcation (oscillation), and stability of oscillation. First, the conditions for both stability and bifurcation are presented based on the linearized model. Then three indices for bifurcation of this nonlinear model are derived by using linear functional operator analysis. Finally, the numerical simulations are carried out to illustrate the theoretical results developed in this study.


Subject(s)
Body Patterning , Models, Molecular , Zebrafish/embryology , Animals , Body Patterning/genetics , Cell Cycle , Embryonic Development/genetics , Female , Gene Expression Regulation, Developmental , Nonlinear Dynamics , Time Factors
17.
ScientificWorldJournal ; 11: 2051-61, 2011.
Article in English | MEDLINE | ID: mdl-22125455

ABSTRACT

Clustering periodically expressed genes from their time-course expression data could help understand the molecular mechanism of those biological processes. In this paper, we propose a nonlinear model-based clustering method for periodically expressed gene profiles. As periodically expressed genes are associated with periodic biological processes, the proposed method naturally assumes that a periodically expressed gene dataset is generated by a number of periodical processes. Each periodical process is modelled by a linear combination of trigonometric sine and cosine functions in time plus a Gaussian noise term. A two stage method is proposed to estimate the model parameter, and a relocation-iteration algorithm is employed to assign each gene to an appropriate cluster. A bootstrapping method and an average adjusted Rand index (AARI) are employed to measure the quality of clustering. One synthetic dataset and two biological datasets were employed to evaluate the performance of the proposed method. The results show that our method allows the better quality clustering than other clustering methods (e.g., k-means) for periodically expressed gene data, and thus it is an effective cluster analysis method for periodically expressed gene data.


Subject(s)
Gene Expression Profiling , Multigene Family , Nonlinear Dynamics , Algorithms
18.
Article in English | MEDLINE | ID: mdl-22254572

ABSTRACT

Many methods for inferring genetic regulatory networks have been proposed. However inferred networks can hardly be used to analyze the dynamics of genetic regulatory networks. Recently nonlinear differential equations are proposed to model genetic regulatory networks. Based on this kind of model, the stability of genetic regulatory networks has been intensively investigated. Because of difficulty in estimating parameters in nonlinear model, inference of genetic regulatory networks with nonlinear model has been paid little attention. In this paper, we present a method for estimating parameters in genetic regulatory networks with SUM regulatory logic. In this kind of genetic regulatory networks, a regulatory function for each gene is a linear combination of Hill form functions, which are nonlinear in parameters and in system states. To investigate the proposed method, the gene toggle switch network is used as an illustrative example. The simulation results show that the proposed method can accurately estimates parameters in genetic regulatory networks with SUM logic.


Subject(s)
Algorithms , Gene Expression Regulation/physiology , Models, Biological , Models, Genetic , Proteome/metabolism , Signal Transduction/physiology , Animals , Computer Simulation , Humans , Logistic Models
19.
Article in English | MEDLINE | ID: mdl-21096361

ABSTRACT

Derived from biochemical principles, molecular biological systems can be described by a group of differential equations. Generally these differential equations contain fractional functions plus polynomials (which we call improper fractional model) as reaction rates. As a result, molecular biological systems are nonlinear in both parameters and states. It is well known that it is challenging to estimate parameters nonlinear in a model. However, in fractional functions both the denominator and numerator are linear in the parameters while polynomials are also linear in parameters. Based on this observation, we develop an iterative linear least squares method for estimating parameters in biological systems modeled by improper fractional functions. The basic idea is to transfer optimizing a nonlinear least squares objective function into iteratively solving a sequence of linear least squares problems. The developed method is applied to the estimation of parameters in a metabolism system. The simulation results show the superior performance of the proposed method for estimating parameters in such molecular biological systems.


Subject(s)
Adenosine Diphosphate/metabolism , Adenosine Triphosphate/metabolism , Energy Metabolism/physiology , Glucose/metabolism , Models, Biological , Pyruvic Acid/metabolism , Signal Transduction/physiology , Animals , Computer Simulation , Glycolysis/physiology , Humans
20.
Yi Chuan ; 32(10): 1077-83, 2010 Oct.
Article in Chinese | MEDLINE | ID: mdl-20943497

ABSTRACT

Two hundred and six F2:3 families from the cross between TD22 and HT-1-1-1-1 were used for dynamic QTL research of tomato soluble solid content and correlative traits, and correlation analysis of soluble solid content (SSC) with fruit weight (FW), fruit shape index (FSI), soluble sugar, vitamin C (VC), and organic acid at three different development stages. The results showed that there were differences in QTL loci for soluble solid content during the three stages of tomato fruit development. Four and eight QTLs were detected in green ripe stage and red ripe stage, respectively. These QTLs showed dynamic changes, and two markers LEaat006 and Tomato|TC162363 were detected in two stages, which might be useful in molecular-marker assisted selection (MAS). The result also showed that there was extremely significant difference in SSC at the three different stages, and its main correlative traits were different at different stages. Soluble solid content was positively correlated with soluble sugar, but negatively correlated with FW at green ripe stage; SSC was positively correlated with soluble sugar and organic acid at yellow ripe stage; SSC was positively correlated with soluble sugar and organic acid, but negatively correlated with fruit weight at red ripe stage. Based on correlation analysis of these traits, linear regression model was constructed. Non-tested varieties were used to test the fitness, and the result showed that it is well fitted, and the fitness is above 95%.


Subject(s)
Quantitative Trait Loci , Solanum lycopersicum/chemistry , Solanum lycopersicum/genetics , Ascorbic Acid/analysis , Carbohydrates/analysis , Crosses, Genetic , Linear Models , Solanum lycopersicum/growth & development
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