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GillesPy: A Python Package for Stochastic Model Building and Simulation GillesPy:一个用于随机模型构建和仿真的Python包
Pub Date : 2016-09-01 DOI: 10.1109/LLS.2017.2652448
John H. Abel;Brian Drawert;Andreas Hellander;Linda R. Petzold
GillesPy is an open-source Python package for model construction and simulation of stochastic biochemical systems. GillesPy consists of a Python framework for model building and an interface to the StochKit2 suite of efficient simulation algorithms based on the Gillespie stochastic simulation algorithms. To enable intuitive model construction and seamless integration into the scientific Python stack, we present an easy-to-understand action-oriented programming interface. Here, we describe the components of this package and provide a detailed example relevant to the computational biology community.
GillesPy是一个开源Python包,用于随机生化系统的模型构建和模拟。GillesPy由一个用于模型构建的Python框架和一个基于Gillespie随机模拟算法的StochKit2高效模拟算法套件的接口组成。为了实现直观的模型构建和与科学Python堆栈的无缝集成,我们提供了一个易于理解的面向操作的编程接口。在这里,我们描述了这个包的组成部分,并提供了一个与计算生物学社区相关的详细示例。
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引用次数: 41
Guest Editorial: Special Issue on the Foundations of Systems Biology in Engineering (FOSBE) 客座社论:工程系统生物学基础特刊(FOSBE)
Pub Date : 2016-09-01 DOI: 10.1109/LLS.2016.2646560
Robert S. Parker
The complete sequencing of the human genome has undoubtedly advanced the study of biology and the practice of medicine, including some dramatic and rapid advances in human health. This progress has been slowed, however, by the challenge of understanding how the genetic players, and their regulation, interact to yield systemic responses to disease and treatment. Taking a puzzle as an analogy for life, the landmark achievement of identifying the human genome provided a list of the possible puzzle pieces, but it did not provide the completed picture on the cover. The search since has focused on the relationships between this genomic information and the (individual or patient) systemic response or function—the “omics” efforts in mapping proteins (proteomics) and metabolites (metabolomics). The primary avenues in this search are: 1) defining the causal connections between the plethora of transcriptional, protein, and metabolite players; 2) linking these microscale networks to system-level response; and 3) capturing the dynamics of the system in response to changes at lower scales. The fields of systems biology, and its translational science counterpart systems medicine, have emerged as the bridge between reductionist molecular and cellular biology approaches and the systems-level understanding required to use this knowledge to advance the human condition.
人类基因组的完整测序无疑推动了生物学研究和医学实践,包括在人类健康方面取得了一些戏剧性和迅速的进展。然而,这一进展已被减缓,因为我们尚不清楚基因参与者及其调控机制如何相互作用,从而产生对疾病和治疗的系统性反应。把拼图比作生命,人类基因组鉴定这一里程碑式的成就提供了一个可能拼图的列表,但它没有提供封面上完整的图片。此后的研究主要集中在基因组信息与(个体或患者)系统反应或功能之间的关系上——“组学”在绘制蛋白质(蛋白质组学)和代谢物(代谢组学)方面的努力。这项研究的主要途径是:1)定义过多的转录、蛋白质和代谢物参与者之间的因果关系;2)将这些微尺度网络与系统级响应连接起来;3)捕捉系统对低尺度变化的动态响应。系统生物学领域及其对应的转化科学系统医学,已经成为还原论分子和细胞生物学方法与使用这些知识来改善人类状况所需的系统级理解之间的桥梁。
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引用次数: 0
A Temporal Logic Inference Approach for Model Discrimination 模型判别的时间逻辑推理方法
Pub Date : 2016-09-01 DOI: 10.1109/LLS.2016.2644646
Zhe Xu;Marc Birtwistle;Calin Belta;Agung Julius
We propose a method for discriminating among competing models for biological systems. Our approach is based on learning temporal logic formulas from data obtained by simulating the models. We apply this method to find dynamic features of epidermal growth factor induced extracellular signal-regulated kinase (ERK) activation that are strictly unique to positive versus negative feedback models. We first search for a temporal logic formula from a training set that can eliminate ERK dynamics observed with both models and then identify the ERK dynamics that are unique to each model. The obtained formulas are tested with a validation sample set and the decision rates and classification rates are estimated using the Chernoff bound. The results can be used in guiding and optimizing the design of experiments for model discrimination.
我们提出了一种区分生物系统竞争模型的方法。我们的方法是基于从模拟模型获得的数据中学习时间逻辑公式。我们应用这种方法来发现表皮生长因子诱导的细胞外信号调节激酶(ERK)激活的动态特征,这些特征严格来说是正反馈模型与负反馈模型所特有的。我们首先从训练集中寻找一个时间逻辑公式,该公式可以消除两个模型观察到的ERK动态,然后识别每个模型独有的ERK动态。用验证样本集对所得公式进行检验,并利用Chernoff界估计决策率和分类率。研究结果可用于模型判别实验设计的指导和优化。
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引用次数: 18
A Genome-Scale Modeling Approach to Investigate the Antibiotics-Triggered Perturbation in the Metabolism of Pseudomonas aeruginosa 研究抗生素引发的铜绿假单胞菌代谢扰动的基因组尺度建模方法
Pub Date : 2016-09-01 DOI: 10.1109/LLS.2017.2652473
Zhaobin Xu;Nicholas Ribaudo;Xianhua Li;Thomas K. Wood;Zuyi Huang
Recent studies indicate that pretreating microorganisms with ribosome-targeting antibiotics may promote a transition in the microbial phenotype, such as the formation of persister cells; i.e., those cells that survive antibiotic treatment by becoming metabolically dormant. In this letter, we developed the first genome-scale modeling approach to systematically investigate the influence of ribosome-targeting antibiotics on the metabolism of Pseudomonas aeruginosa. An approach for integrating gene expression data with metabolic networks was first developed to identify the metabolic reactions whose fluxes were positively correlated with gene activation levels. The fluxes of these reactions were further constrained via a flux balance analysis to mimic the inhibition of antibiotics on microbial metabolism. It was found that some of metabolic reactions with large flux change, including metabolic reactions for homoserine metabolism, the production of 2-heptyl-4-quinolone, and isocitrate lyase, were confirmed by existing experimental data for their important role in promoting persister cell formation. Metabolites with large exchange-rate change, such as acetate, agmatine, and oxoglutarate, were found important for persister cell formation in previous experiments. The predicted results on the flux change triggered by ribosome-targeting antibiotics can be used to generate hypotheses for future experimental design to combat antibiotic-resistant pathogens.
最近的研究表明,用靶向核糖体的抗生素预处理微生物可能会促进微生物表型的转变,如持久细胞的形成;也就是说,那些通过代谢休眠而在抗生素治疗中存活下来的细胞。在这封信中,我们开发了第一个基因组尺度的建模方法来系统地研究核糖体靶向抗生素对铜绿假单胞菌代谢的影响。一种将基因表达数据与代谢网络相结合的方法首次被开发出来,以确定其通量与基因激活水平正相关的代谢反应。通过通量平衡分析,模拟抗生素对微生物代谢的抑制,进一步限制了这些反应的通量。发现一些通量变化较大的代谢反应,包括同型丝氨酸代谢、2-庚基-4-喹诺酮的生成和异柠檬酸裂解酶的代谢反应,已被现有的实验数据证实在促进持久性细胞形成中起重要作用。在先前的实验中发现,具有较大汇率变化的代谢物,如醋酸盐、胍丁氨酸和氧戊二酸盐,对持久性细胞的形成很重要。核糖体靶向抗生素引发的通量变化的预测结果可用于为未来对抗抗生素耐药病原体的实验设计提供假设。
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引用次数: 1
Conditions for Cell Size Homeostasis: A Stochastic Hybrid System Approach 细胞大小稳态的条件:一种随机混合系统方法
Pub Date : 2016-06-02 DOI: 10.1109/LLS.2016.2646383
C. A. Vargas-Garcia, Mohammad Soltani, Abhyudai Singh
How isogenic cell populations maintain size homeostasis, i.e., a narrow distribution of cell size, is an intriguing fundamental problem. We model cell size using a stochastic hybrid system, where a cell grows exponentially in size (volume) over time and probabilistic division events are triggered at discrete-time intervals. Moreover, whenever division occurs, size is randomly partitioned among daughter cells. We first consider a scenario where a timer (cell-cycle clock) that measures the time elapsed since the last division event regulates both the cellular growth and division rates. The analysis reveals that such a timer-controlled system cannot achieve size homeostasis, in the sense that the cell-to-cell size variation grows unboundedly with time. To explore biologically meaningful mechanisms for controlling size, we consider two classes of regulation: a size-dependent growth rate and a size-dependent division rate. Our results show that these strategies can provide bounded intercellular variation in cell size and exact mathematical conditions on the form of regulation needed for size homeostasis are derived. Different known forms of size control strategies, such as the adder and the sizer, are shown to be consistent with these results. Finally, we discuss how organisms ranging from bacteria to mammalian cells have adopted different control approaches for maintaining size homeostasis.
等基因细胞群如何维持细胞大小的内稳态,即细胞大小的狭窄分布,是一个有趣的基本问题。我们使用随机混合系统对细胞大小进行建模,其中细胞的大小(体积)随时间呈指数增长,并且在离散时间间隔触发概率分裂事件。此外,无论何时发生分裂,子细胞之间的大小都是随机分配的。我们首先考虑一个场景,其中计时器(细胞周期时钟)测量自上次分裂事件以来经过的时间,同时调节细胞生长和分裂速率。分析表明,这样一个由时间控制的系统不能实现大小稳态,即细胞间的大小变化随着时间的推移而无限增长。为了探索具有生物学意义的控制尺寸的机制,我们考虑了两类调节:尺寸依赖的生长速率和尺寸依赖的分裂速率。我们的研究结果表明,这些策略可以提供细胞大小的有限细胞间变化,并推导出大小稳态所需的调节形式的精确数学条件。不同的已知形式的尺寸控制策略,如加法器和尺寸器,显示与这些结果一致。最后,我们讨论了从细菌到哺乳动物细胞的生物如何采用不同的控制方法来维持大小稳态。
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引用次数: 45
Analysis of a Gene Regulatory Network Model With Time Delay Using the Secant Condition 用割线条件分析具有时滞的基因调控网络模型
Pub Date : 2016-06-01 DOI: 10.1109/LLS.2016.2615091
Mehmet Eren Ahsen;Hitay Özbay;Silviu-Iulian Niculescu
A cyclic model for gene regulatory networks with time delayed negative feedback is analyzed using an extension of the so-called secant condition, which is originally developed for systems without time delays. It is shown that sufficient conditions obtained earlier for delay-independent local stability can be further improved for homogenous networks to obtain delay-dependent necessary and sufficient conditions, which are expressed in terms of the parameters of the Hill-type nonlinearity.
利用所谓割线条件的扩展,分析了具有时滞负反馈的基因调控网络的循环模型,割线条件最初是为没有时滞的系统开发的。结果表明,对于同构网络,可以进一步改进先前获得的与延迟无关的局部稳定性的充分条件,以获得用Hill型非线性参数表示的与延迟相关的充要条件。
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引用次数: 4
Testing the Pattern of AKT Activation by Variational Parameter Estimation 用变分参数估计法检测AKT的激活模式
Pub Date : 2016-06-01 DOI: 10.1109/LLS.2016.2615081
Daniel Kaschek;Frauke Henjes;Max Hasmann;Ulrike Korf;Jens Timmer
Dynamic modeling has become one of the pillars of understanding complex biological systems from a mechanistic point of view. In particular, ordinary differential equations are frequently used to model the dynamics of the interacting states, e.g., molecular species in cell signaling pathways. The equations typically contain many unknown parameters, such as reaction rates and initial conditions, but also time-dependent parameters, i.e., input functions driving the system. Both are a priori unknown and need to be estimated from experimental, time-resolved data. Here, we discuss an application of indirect optimal control methods for input estimation and parameter estimation in the mammalian target of rapamycin (mTOR) signaling. Whereas the direct identification and quantification of different active mTOR complexes, e.g., mTOR complex $textit {2}$ (mTORC2), is only possible by highly challenging experiments, the mathematical framework allows to reconstruct its dynamics by solving an appropriate Euler–Lagrange equation based on Pontryagin’s maximum principle. The inherently large search space underlying this approach allows to test specific biological hypotheses about the activation of protein kinase B (AKT) by mTORC2 and to reject an alternative model with high statistical power. Hereby, we identify a minimal model that has AKT threonine phosphorylation as a prerequisite for serine phosphorylation by mTORC2. Based on this model, the activation of mTORC2 is predicted to be inhibited by drugs, targeting the receptors of the ERBB receptor family.
动态建模已经成为从机械的角度理解复杂生物系统的支柱之一。特别是,常微分方程经常用于模拟相互作用状态的动力学,例如细胞信号通路中的分子物种。这些方程通常包含许多未知参数,如反应速率和初始条件,但也包含时间相关参数,即驱动系统的输入函数。两者都是先验未知的,需要从实验的、时间分辨的数据中进行估计。在此,我们讨论了用于输入估计和参数估计的间接最优控制方法在哺乳动物雷帕霉素(mTOR)信号传导靶标中的应用。然而,直接识别和量化不同的活性mTOR配合物,例如mTOR配合物$textit {2}$ (mTORC2),只能通过极具挑战性的实验来实现,数学框架允许通过基于庞特里亚金极大值原理求解适当的欧拉-拉格朗日方程来重建其动力学。该方法固有的大搜索空间允许测试关于mTORC2激活蛋白激酶B (AKT)的特定生物学假设,并拒绝具有高统计能力的替代模型。因此,我们确定了一个最小模型,AKT苏氨酸磷酸化是mTORC2磷酸化丝氨酸的先决条件。基于该模型,预测靶向ERBB受体家族受体的药物会抑制mTORC2的激活。
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引用次数: 1
Hybrid Simulation of Heterogeneous Cell Populations 异质细胞群体的杂交模拟
Pub Date : 2016-06-01 DOI: 10.1109/LLS.2016.2615089
Steffen Waldherr;Philip Trennt;Mubashir Hussain
The modeling of heterogeneous dynamic cell populations based on population balance equations is an important tool to describe the interaction between intracellular dynamics and population dynamics. However, the numerical simulation of such models remains challenging for models with high-dimensional intracellular dynamics, when these dynamics influence the growth rate of the cells. To cope with this challenge, we propose a hybrid simulation scheme based on the method of partial characteristics. We show that important features of the population density function, such as its moments or marginals, can be approximated by this scheme in a statistically converging way. In a case study with a population of differentiating cells, we illustrate how to obtain the growth dynamics of the individual subpopulations and deduce the extent of cell differentiation under a time-varying stimulus.
基于种群平衡方程的异质动态细胞种群建模是描述胞内动力学和种群动力学相互作用的重要工具。然而,对于具有高维细胞内动力学的模型来说,当这些动力学影响细胞的生长速度时,这些模型的数值模拟仍然具有挑战性。为了应对这一挑战,我们提出了一种基于部分特征方法的混合仿真方案。我们证明了人口密度函数的重要特征,如矩或边际,可以用该格式以统计收敛的方式逼近。在一个分化细胞群体的案例研究中,我们说明了如何获得个体亚群体的生长动态,并推断出在时变刺激下细胞分化的程度。
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引用次数: 2
Testing the Pattern of AKT Activation by Variational Parameter Estimation 用变分参数估计法检测AKT的激活模式
Pub Date : 2016-06-01 DOI: 10.1109/LLS.2016.2615081
Daniel Kaschek, F. Henjes, M. Hasmann, U. Korf, J. Timmer
Dynamic modeling has become one of the pillars of understanding complex biological systems from a mechanistic point of view. In particular, ordinary differential equations are frequently used to model the dynamics of the interacting states, e.g., molecular species in cell signaling pathways. The equations typically contain many unknown parameters, such as reaction rates and initial conditions, but also time-dependent parameters, i.e., input functions driving the system. Both are a priori unknown and need to be estimated from experimental, time-resolved data. Here, we discuss an application of indirect optimal control methods for input estimation and parameter estimation in the mammalian target of rapamycin (mTOR) signaling. Whereas the direct identification and quantification of different active mTOR complexes, e.g., mTOR complex $textit {2}$ (mTORC2), is only possible by highly challenging experiments, the mathematical framework allows to reconstruct its dynamics by solving an appropriate Euler–Lagrange equation based on Pontryagin’s maximum principle. The inherently large search space underlying this approach allows to test specific biological hypotheses about the activation of protein kinase B (AKT) by mTORC2 and to reject an alternative model with high statistical power. Hereby, we identify a minimal model that has AKT threonine phosphorylation as a prerequisite for serine phosphorylation by mTORC2. Based on this model, the activation of mTORC2 is predicted to be inhibited by drugs, targeting the receptors of the ERBB receptor family.
动态建模已经成为从机械的角度理解复杂生物系统的支柱之一。特别是,常微分方程经常用于模拟相互作用状态的动力学,例如细胞信号通路中的分子物种。这些方程通常包含许多未知参数,如反应速率和初始条件,但也包含时间相关参数,即驱动系统的输入函数。两者都是先验未知的,需要从实验的、时间分辨的数据中进行估计。在此,我们讨论了用于输入估计和参数估计的间接最优控制方法在哺乳动物雷帕霉素(mTOR)信号传导靶标中的应用。然而,直接识别和量化不同的活性mTOR配合物,例如mTOR配合物$textit {2}$ (mTORC2),只能通过极具挑战性的实验来实现,数学框架允许通过基于庞特里亚金极大值原理求解适当的欧拉-拉格朗日方程来重建其动力学。该方法固有的大搜索空间允许测试关于mTORC2激活蛋白激酶B (AKT)的特定生物学假设,并拒绝具有高统计能力的替代模型。因此,我们确定了一个最小模型,AKT苏氨酸磷酸化是mTORC2磷酸化丝氨酸的先决条件。基于该模型,预测靶向ERBB受体家族受体的药物会抑制mTORC2的激活。
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引用次数: 1
A Novel Digital Phantom Using an Optical Noncontact Measurement System 一种基于光学非接触测量系统的新型数字幻影
Pub Date : 2016-03-01 DOI: 10.1109/LLS.2016.2568259
Xiaodong Yang, A. Ren, Tianqiao Zhu, Fangming Hu
Digital phantoms are vital for various biomedical researches. Traditional phantoms include theoretical models and voxel models reconstructed from medical images. It has been demonstrated that the homogeneous phantom filled with uniform tissue is accurate enough for wearable antenna design, body-centric channel modeling, etc. Therefore, it is interesting and necessary to investigate the novel approach of generating digital phantoms using an optical noncontact measurement system. In this letter, the point cloud data are first obtained; then, they are simplified via principal component analysis; finally, by applying surface reconstruction and mesh simplification techniques, a digital Chinese phantom is established. To verify the usability of the phantom, numerical calculation is performed to check E-fields at different positions on the body. Results sufficiently prove the feasibility of the train of thought presented in this letter.
数字幻影对各种生物医学研究至关重要。传统的幻影包括理论模型和由医学图像重建的体素模型。研究表明,均匀组织填充的均匀体模足够精确,可用于可穿戴天线设计、以身体为中心的信道建模等。因此,研究利用光学非接触测量系统产生数字幻影的新方法是很有必要的。在这封信中,首先获得点云数据;然后,通过主成分分析对其进行简化;最后,应用曲面重构和网格简化技术,建立了数字汉语体模。为了验证模型的可用性,对人体不同位置的电场进行了数值计算。结果充分证明了这封信中提出的思路的可行性。
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引用次数: 0
期刊
IEEE life sciences letters
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