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The effects of low-impact mutations in digital organisms. 低影响突变对数字生物的影响。
Q1 Mathematics Pub Date : 2011-04-18 DOI: 10.1186/1742-4682-8-9
Chase W Nelson, John C Sanford

Background: Avida is a computer program that performs evolution experiments with digital organisms. Previous work has used the program to study the evolutionary origin of complex features, namely logic operations, but has consistently used extremely large mutational fitness effects. The present study uses Avida to better understand the role of low-impact mutations in evolution.

Results: When mutational fitness effects were approximately 0.075 or less, no new logic operations evolved, and those that had previously evolved were lost. When fitness effects were approximately 0.2, only half of the operations evolved, reflecting a threshold for selection breakdown. In contrast, when Avida's default fitness effects were used, all operations routinely evolved to high frequencies and fitness increased by an average of 20 million in only 10,000 generations.

Conclusions: Avidian organisms evolve new logic operations only when mutations producing them are assigned high-impact fitness effects. Furthermore, purifying selection cannot protect operations with low-impact benefits from mutational deterioration. These results suggest that selection breaks down for low-impact mutations below a certain fitness effect, the selection threshold. Experiments using biologically relevant parameter settings show the tendency for increasing genetic load to lead to loss of biological functionality. An understanding of such genetic deterioration is relevant to human disease, and may be applicable to the control of pathogens by use of lethal mutagenesis.

背景:Avida是一个用数字生物进行进化实验的计算机程序。以前的工作已经使用该程序来研究复杂特征的进化起源,即逻辑运算,但一直使用非常大的突变适应度效应。目前的研究使用了Avida来更好地理解低影响突变在进化中的作用。结果:当突变适应度效应约为0.075或更低时,没有新的逻辑运算进化,先前进化的逻辑运算丢失。当适应度效应约为0.2时,只有一半的操作进化,这反映了选择失败的阈值。相比之下,当使用Avida的默认适应度效应时,所有操作通常都会进化到高频率,而适应度仅在10,000代内平均增加了2000万。结论:阿维德生物只有在产生它们的突变被赋予高影响适应度效应时才会进化出新的逻辑运算。此外,净化选择不能保护具有低影响效益的操作免受突变恶化的影响。这些结果表明,低于一定适应度效应(即选择阈值)的低影响突变会导致选择中断。使用生物学相关参数设置的实验显示增加遗传负荷导致生物功能丧失的趋势。对这种遗传退化的了解与人类疾病有关,并且可能适用于通过使用致命诱变来控制病原体。
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引用次数: 18
A mathematical model of quorum sensing regulated EPS production in biofilm communities. 群体感应调节生物膜群落EPS产生的数学模型。
Q1 Mathematics Pub Date : 2011-04-10 DOI: 10.1186/1742-4682-8-8
Mallory R Frederick, Christina Kuttler, Burkhard A Hense, Hermann J Eberl

Background: Biofilms are microbial communities encased in a layer of extracellular polymeric substances (EPS). The EPS matrix provides several functional purposes for the biofilm, such as protecting bacteria from environmental stresses, and providing mechanical stability. Quorum sensing is a cell-cell communication mechanism used by several bacterial taxa to coordinate gene expression and behaviour in groups, based on population densities.

Model: We mathematically model quorum sensing and EPS production in a growing biofilm under various environmental conditions, to study how a developing biofilm impacts quorum sensing, and conversely, how a biofilm is affected by quorum sensing-regulated EPS production. We investigate circumstances when using quorum-sensing regulated EPS production is a beneficial strategy for biofilm cells.

Results: We find that biofilms that use quorum sensing to induce increased EPS production do not obtain the high cell populations of low-EPS producers, but can rapidly increase their volume to parallel high-EPS producers. Quorum sensing-induced EPS production allows a biofilm to switch behaviours, from a colonization mode (with an optimized growth rate), to a protection mode.

Conclusions: A biofilm will benefit from using quorum sensing-induced EPS production if bacteria cells have the objective of acquiring a thick, protective layer of EPS, or if they wish to clog their environment with biomass as a means of securing nutrient supply and outcompeting other colonies in the channel, of their own or a different species.

背景:生物膜是包裹在一层细胞外聚合物质(EPS)中的微生物群落。EPS基质为生物膜提供了几种功能用途,例如保护细菌免受环境压力,并提供机械稳定性。群体感应是一种细胞间的通讯机制,被一些细菌类群用来协调基因表达和群体行为,基于种群密度。模型:我们对生长中的生物膜在不同环境条件下的群体感应和EPS产生进行数学建模,以研究发育中的生物膜如何影响群体感应,反过来,生物膜如何受到群体感应调节的EPS产生的影响。我们调查的情况下,当使用群体感应调节EPS生产是一个有益的策略对生物膜细胞。结果:我们发现使用群体感应诱导EPS产量增加的生物膜不能获得低EPS生产者的高细胞群体,但可以迅速增加其平行高EPS生产者的体积。群体感应诱导的EPS产生允许生物膜从定植模式(具有优化的生长速率)切换到保护模式。结论:如果细菌细胞的目标是获得厚的EPS保护层,或者如果它们希望用生物量堵塞其环境,作为确保营养供应的手段,并在通道中与其他菌落(自身或其他物种)竞争,那么使用群体感应诱导的EPS生产将有利于生物膜。
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引用次数: 116
Proof-of-principle investigation of an algorithmic model of adenosine-mediated angiogenesis. 腺苷介导的血管生成算法模型的原理验证研究。
Q1 Mathematics Pub Date : 2011-04-08 DOI: 10.1186/1742-4682-8-7
Francisco Azuaje, Frédérique Léonard, Magali Rolland-Turner, Yvan Devaux, Daniel R Wagner

Background: We investigated an algorithmic approach to modelling angiogenesis controlled by vascular endothelial growth factor (VEGF), the anti-angiogenic soluble VEGF receptor 1 (sVEGFR-1) and adenosine (Ado). We explored its feasibility to test angiogenesis-relevant hypotheses. We illustrated its potential to investigate the role of Ado as an angiogenesis modulator by enhancing VEGF activity and antagonizing sVEGFR-1.

Results: We implemented an algorithmic model of angiogenesis consisting of the dynamic interaction of endothelial cells, VEGF, sVEGFR-1 and Ado entities. The model is based on a logic rule-based methodology in which the local behaviour of the cells and molecules is encoded using if-then rules. The model shows how Ado may enhance angiogenesis through activating and inhibiting effects on VEGF and sVEGFR-1 respectively. Despite the relative simplicity of the model, it recapitulated basic features observed in in vitro models. However, observed disagreements between our models and in vitro data suggest possible knowledge gaps and may guide future experimental directions.

Conclusions: The proposed model can support the exploration of hypotheses about the role of different molecular entities and experimental conditions in angiogenesis. Future expansions can also be applied to assist research planning in this and other biomedical domains.

背景:我们研究了一种由血管内皮生长因子(VEGF)、抗血管生成可溶性VEGF受体1 (sVEGFR-1)和腺苷(Ado)控制的血管生成建模算法。我们探讨了其可行性,以测试血管生成相关的假设。我们通过增强VEGF活性和拮抗sVEGFR-1来研究Ado作为血管生成调节剂的作用。结果:我们实现了一个由内皮细胞、VEGF、sVEGFR-1和Ado实体的动态相互作用组成的血管生成算法模型。该模型基于一种基于逻辑规则的方法,其中细胞和分子的局部行为使用if-then规则进行编码。该模型显示了Ado分别通过激活和抑制VEGF和sVEGFR-1来促进血管生成。尽管该模型相对简单,但它概括了在体外模型中观察到的基本特征。然而,我们的模型和体外数据之间观察到的分歧表明可能存在知识差距,并可能指导未来的实验方向。结论:该模型可支持探索不同分子实体和实验条件在血管生成中的作用的假设。未来的扩展也可以应用于协助研究规划在这个和其他生物医学领域。
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引用次数: 4
Module-based multiscale simulation of angiogenesis in skeletal muscle. 基于模块的骨骼肌血管生成的多尺度模拟。
Q1 Mathematics Pub Date : 2011-04-04 DOI: 10.1186/1742-4682-8-6
Gang Liu, Amina A Qutub, Prakash Vempati, Feilim Mac Gabhann, Aleksander S Popel

Background: Mathematical modeling of angiogenesis has been gaining momentum as a means to shed new light on the biological complexity underlying blood vessel growth. A variety of computational models have been developed, each focusing on different aspects of the angiogenesis process and occurring at different biological scales, ranging from the molecular to the tissue levels. Integration of models at different scales is a challenging and currently unsolved problem.

Results: We present an object-oriented module-based computational integration strategy to build a multiscale model of angiogenesis that links currently available models. As an example case, we use this approach to integrate modules representing microvascular blood flow, oxygen transport, vascular endothelial growth factor transport and endothelial cell behavior (sensing, migration and proliferation). Modeling methodologies in these modules include algebraic equations, partial differential equations and agent-based models with complex logical rules. We apply this integrated model to simulate exercise-induced angiogenesis in skeletal muscle. The simulation results compare capillary growth patterns between different exercise conditions for a single bout of exercise. Results demonstrate how the computational infrastructure can effectively integrate multiple modules by coordinating their connectivity and data exchange. Model parameterization offers simulation flexibility and a platform for performing sensitivity analysis.

Conclusions: This systems biology strategy can be applied to larger scale integration of computational models of angiogenesis in skeletal muscle, or other complex processes in other tissues under physiological and pathological conditions.

背景:血管生成的数学建模作为一种揭示血管生长背后的生物复杂性的新手段已经获得了动力。各种计算模型已经被开发出来,每个模型都关注血管生成过程的不同方面,发生在不同的生物尺度上,从分子到组织水平。不同尺度模型的集成是一个具有挑战性且目前尚未解决的问题。结果:我们提出了一种基于面向对象模块的计算集成策略,以建立一个连接当前可用模型的血管生成多尺度模型。作为一个例子,我们使用这种方法来整合代表微血管血流、氧气运输、血管内皮生长因子运输和内皮细胞行为(传感、迁移和增殖)的模块。这些模块中的建模方法包括代数方程、偏微分方程和具有复杂逻辑规则的基于主体的模型。我们应用这个综合模型来模拟运动诱导的骨骼肌血管生成。模拟结果比较了单次运动时不同运动条件下毛细血管的生长模式。结果表明,计算基础设施如何通过协调多个模块的连接和数据交换来有效地集成多个模块。模型参数化提供了仿真灵活性和执行灵敏度分析的平台。结论:该系统生物学策略可应用于骨骼肌血管生成或其他生理和病理条件下其他组织中其他复杂过程的更大规模集成计算模型。
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引用次数: 76
Disruption of cell wall fatty acid biosynthesis in Mycobacterium tuberculosis using a graph theoretic approach. 用图论方法研究结核分枝杆菌细胞壁脂肪酸生物合成的破坏。
Q1 Mathematics Pub Date : 2011-03-31 DOI: 10.1186/1742-4682-8-5
Veeky Baths, Utpal Roy, Tarkeshwar Singh

Fatty acid biosynthesis of Mycobacterium tuberculosis was analyzed using graph theory and influential (impacting) proteins were identified. The graphs (digraphs) representing this biological network provide information concerning the connectivity of each protein or metabolite in a given pathway, providing an insight into the importance of various components in the pathway, and this can be quantitatively analyzed. Using a graph theoretic algorithm, the most influential set of proteins (sets of {1, 2, 3}, etc.), which when eliminated could cause a significant impact on the biosynthetic pathway, were identified. This set of proteins could serve as drug targets. In the present study, the metabolic network of Mycobacterium tuberculosis was constructed and the fatty acid biosynthesis pathway was analyzed for potential drug targeting. The metabolic network was constructed using the KEGG LIGAND database and subjected to graph theoretical analysis. The nearness index of a protein was used to determine the influence of the said protein on other components in the network, allowing the proteins in a pathway to be ordered according to their nearness indices. A method for identifying the most strategic nodes to target for disrupting the metabolic networks is proposed, aiding the development of new drugs to combat this deadly disease.

利用图论分析了结核分枝杆菌脂肪酸的生物合成,并鉴定了有影响的蛋白。表示这种生物网络的图形(有向图)提供了有关给定途径中每种蛋白质或代谢物的连通性的信息,提供了对途径中各种成分重要性的见解,并且可以进行定量分析。使用图论算法,识别出最具影响力的一组蛋白质({1,2,3}等),这些蛋白质在消除后会对生物合成途径产生重大影响。这组蛋白质可以作为药物靶点。本研究构建了结核分枝杆菌的代谢网络,分析了其脂肪酸生物合成途径,以寻找潜在的靶向药物。利用KEGG配体数据库构建代谢网络,并进行图论分析。蛋白质的接近指数用于确定该蛋白质对网络中其他组分的影响,从而使通路中的蛋白质根据其接近指数进行排序。研究人员提出了一种确定破坏代谢网络的最具战略意义的节点的方法,有助于开发对抗这种致命疾病的新药。
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引用次数: 6
Maximum likelihood estimation of reviewers' acumen in central review setting: categorical data. 中央评价设置中审稿人敏锐度的最大似然估计:分类数据。
Q1 Mathematics Pub Date : 2011-03-25 DOI: 10.1186/1742-4682-8-3
Wei Zhao, James M Boyett, Mehmet Kocak, David W Ellison, Yanan Wu

Successfully evaluating pathologists' acumen could be very useful in improving the concordance of their calls on histopathologic variables. We are proposing a new method to estimate the reviewers' acumen based on their histopathologic calls. The previously proposed method includes redundant parameters that are not identifiable and results are incorrect. The new method is more parsimonious and through extensive simulation studies, we show that the new method relies less on the initial values and converges to the true parameters. The result of the anesthetist data set by the new method is more convincing.

成功地评估病理学家的敏锐度对于提高他们对组织病理变量的要求的一致性非常有用。我们提出了一种新的方法来估计审稿人的敏锐度基于他们的组织病理学呼叫。先前提出的方法包含冗余参数,无法识别,结果不正确。通过大量的仿真研究表明,新方法对初始值的依赖较小,收敛于真实参数。新方法对麻醉师数据集的分析结果更有说服力。
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引用次数: 0
Theoretical basis to measure the impact of short-lasting control of an infectious disease on the epidemic peak. 衡量传染病短期控制对流行高峰影响的理论基础。
Q1 Mathematics Pub Date : 2011-01-26 DOI: 10.1186/1742-4682-8-2
Ryosuke Omori, Hiroshi Nishiura

Background: While many pandemic preparedness plans have promoted disease control effort to lower and delay an epidemic peak, analytical methods for determining the required control effort and making statistical inferences have yet to be sought. As a first step to address this issue, we present a theoretical basis on which to assess the impact of an early intervention on the epidemic peak, employing a simple epidemic model.

Methods: We focus on estimating the impact of an early control effort (e.g. unsuccessful containment), assuming that the transmission rate abruptly increases when control is discontinued. We provide analytical expressions for magnitude and time of the epidemic peak, employing approximate logistic and logarithmic-form solutions for the latter. Empirical influenza data (H1N1-2009) in Japan are analyzed to estimate the effect of the summer holiday period in lowering and delaying the peak in 2009.

Results: Our model estimates that the epidemic peak of the 2009 pandemic was delayed for 21 days due to summer holiday. Decline in peak appears to be a nonlinear function of control-associated reduction in the reproduction number. Peak delay is shown to critically depend on the fraction of initially immune individuals.

Conclusions: The proposed modeling approaches offer methodological avenues to assess empirical data and to objectively estimate required control effort to lower and delay an epidemic peak. Analytical findings support a critical need to conduct population-wide serological survey as a prior requirement for estimating the time of peak.

背景:虽然许多大流行病防范计划促进了疾病控制工作,以降低和推迟流行病高峰,但尚未寻求确定所需控制努力和作出统计推断的分析方法。作为解决这一问题的第一步,我们提出了一个理论基础,利用一个简单的流行病模型来评估早期干预对流行病高峰的影响。方法:我们的重点是估计早期控制工作(例如不成功的遏制)的影响,假设当控制停止时传播率突然增加。我们提供了疫情高峰的大小和时间的解析表达式,后者采用近似逻辑和对数形式的解。本文分析了日本甲型h1n1流感(H1N1-2009)的实证数据,以估计2009年夏季假期对降低和推迟流感高峰的影响。结果:我们的模型估计,由于暑假的原因,2009年大流行的流行高峰推迟了21天。峰值的下降似乎是与控制相关的繁殖数量减少的非线性函数。峰值延迟严重依赖于最初免疫个体的比例。结论:提出的建模方法为评估经验数据和客观估计降低和延迟流行病高峰所需的控制努力提供了方法学途径。分析结果支持进行全人群血清学调查的迫切需要,作为估计高峰时间的先决条件。
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引用次数: 17
Using an agent-based model to analyze the dynamic communication network of the immune response. 利用基于agent的模型分析免疫应答的动态通信网络。
Q1 Mathematics Pub Date : 2011-01-19 DOI: 10.1186/1742-4682-8-1
Virginia A Folcik, Gordon Broderick, Shunmugam Mohan, Brian Block, Chirantan Ekbote, John Doolittle, Marc Khoury, Luke Davis, Clay B Marsh

Background: The immune system behaves like a complex, dynamic network with interacting elements including leukocytes, cytokines, and chemokines. While the immune system is broadly distributed, leukocytes must communicate effectively to respond to a pathological challenge. The Basic Immune Simulator 2010 contains agents representing leukocytes and tissue cells, signals representing cytokines, chemokines, and pathogens, and virtual spaces representing organ tissue, lymphoid tissue, and blood. Agents interact dynamically in the compartments in response to infection of the virtual tissue. Agent behavior is imposed by logical rules derived from the scientific literature. The model captured the agent-to-agent contact history, and from this the network topology and the interactions resulting in successful versus failed viral clearance were identified. This model served to integrate existing knowledge and allowed us to examine the immune response from a novel perspective directed at exploiting complex dynamics, ultimately for the design of therapeutic interventions.

Results: Analyzing the evolution of agent-agent interactions at incremental time points from identical initial conditions revealed novel features of immune communication associated with successful and failed outcomes. There were fewer contacts between agents for simulations ending in viral elimination (win) versus persistent infection (loss), due to the removal of infected agents. However, early cellular interactions preceded successful clearance of infection. Specifically, more Dendritic Agent interactions with TCell and BCell Agents, and more BCell Agent interactions with TCell Agents early in the simulation were associated with the immune win outcome. The Dendritic Agents greatly influenced the outcome, confirming them as hub agents of the immune network. In addition, unexpectedly high frequencies of Dendritic Agent-self interactions occurred in the lymphoid compartment late in the loss outcomes.

Conclusions: An agent-based model capturing several key aspects of complex system dynamics was used to study the emergent properties of the immune response to viral infection. Specific patterns of interactions between leukocyte agents occurring early in the response significantly improved outcome. More interactions at later stages correlated with persistent inflammation and infection. These simulation experiments highlight the importance of commonly overlooked aspects of the immune response and provide insight into these processes at a resolution level exceeding the capabilities of current laboratory technologies.

背景:免疫系统的行为就像一个复杂的、动态的网络,相互作用的元素包括白细胞、细胞因子和趋化因子。虽然免疫系统分布广泛,但白细胞必须有效地沟通以应对病理挑战。基本免疫模拟器2010包含代表白细胞和组织细胞的试剂,代表细胞因子、趋化因子和病原体的信号,以及代表器官组织、淋巴组织和血液的虚拟空间。在响应虚拟组织的感染时,药剂在隔室中动态地相互作用。代理人的行为是由科学文献中导出的逻辑规则强加的。该模型捕获了代理对代理的接触历史,并从中确定了网络拓扑和导致病毒清除成功与失败的相互作用。这个模型整合了现有的知识,使我们能够从一个新的角度来研究免疫反应,以利用复杂的动力学,最终设计治疗干预措施。结果:从相同的初始条件开始,在增量时间点上分析agent-agent相互作用的演变,揭示了与成功和失败结果相关的免疫通信的新特征。由于移除了受感染的因子,模拟中以病毒消除(获胜)结束的因子与持续感染(失败)结束的因子之间的接触较少。然而,早期的细胞相互作用先于感染的成功清除。具体来说,在模拟早期,更多的树突状药物与TCell和BCell药物相互作用,以及更多的BCell药物与TCell药物相互作用与免疫胜利结果相关。树突状因子极大地影响了结果,证实了它们是免疫网络的枢纽因子。此外,意外的高频率的树突状因子-自身相互作用发生在淋巴细胞室,在损失结果的后期。结论:一个基于agent的模型捕获了复杂系统动力学的几个关键方面,用于研究病毒感染免疫反应的紧急特性。在反应早期发生的白细胞制剂之间的特定相互作用模式显着改善了结果。晚期更多的相互作用与持续的炎症和感染相关。这些模拟实验强调了免疫反应中通常被忽视的方面的重要性,并以超过当前实验室技术能力的分辨率水平提供了对这些过程的洞察。
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引用次数: 69
Immunologgical self-tolerance in allophenic and embryo-aggregated mice. 同种异体和胚胎聚集小鼠的免疫自我耐受。
Q1 Mathematics Pub Date : 2010-09-20 DOI: 10.1186/1742-4682-7-38
Richmond T Prehn, Liisa M Prehn

Allophenic mice, supposedly containing almost equal numbers of cells derived from embryos of mouse strains C57Bl and FVB, were shown in a recent paper to grow the B16 melanoma, a long transplanted tumor of C57Bl origin, much better than did mice of either the parental C57Bl strain or the C57Bl x FVB F1 hybrid. Mice containing smaller proportions of C57Bl cells rejected the tumor. A reconsideration of these suprising data, in light of the current literature, suggests that the better growth of the tumor in the 50-50% allophenics than in the C57Bl parental strain was almost certainly caused by the tumor stimulation engendered by a weak anti-C57Bl immune reaction in the overtly healthy allophenic mice.

在最近的一篇论文中,异体小鼠,据推测含有几乎相同数量的来自小鼠胚胎的细胞C57Bl和FVB,可以生长B16黑色素瘤,这是一种源自C57Bl的长移植肿瘤,比亲本C57Bl菌株或C57Bl与FVB F1杂交的小鼠要好得多。含有较小比例C57Bl细胞的小鼠对肿瘤产生排斥反应。根据目前的文献,对这些令人惊讶的数据进行重新考虑,表明50% -50%同种异体小鼠的肿瘤生长比C57Bl亲本菌株更好,几乎可以肯定是由明显健康的同种异体小鼠的弱抗C57Bl免疫反应引起的肿瘤刺激引起的。
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引用次数: 1
Pathological axes of wound repair: gastrulation revisited. 伤口修复的病理轴:重新审视原肠形成。
Q1 Mathematics Pub Date : 2010-09-14 DOI: 10.1186/1742-4682-7-37
Maria-Angeles Aller, Jose-Ignacio Arias, Jaime Arias

Post-traumatic inflammation is formed by molecular and cellular complex mechanisms whose final goal seems to be injured tissue regeneration.In the skin -an exterior organ of the body- mechanical or thermal injury induces the expression of different inflammatory phenotypes that resemble similar phenotypes expressed during embryo development. Particularly, molecular and cellular mechanisms involved in gastrulation return. This is a developmental phase that delineates the three embryonic germ layers: ectoderm, endoderm and mesoderm. Consequently, in the post-natal wounded skin, primitive functions related with the embryonic mesoderm, i.e. amniotic and yolk sac-derived, are expressed. Neurogenesis and hematogenesis stand out among the primitive function mechanisms involved.Interestingly, in these phases of the inflammatory response, whose molecular and cellular mechanisms are considered as traces of the early phases of the embryonic development, the mast cell, a cell that is supposedly inflammatory, plays a key role.The correlation that can be established between the embryonic and the inflammatory events suggests that the results obtained from the research regarding both great fields of knowledge must be interchangeable to obtain the maximum advantage.

创伤后炎症是由分子和细胞复杂机制形成的,其最终目的似乎是损伤组织再生。在皮肤(身体的外部器官)中,机械或热损伤诱导不同炎症表型的表达,这些表型类似于胚胎发育期间表达的相似表型。特别是,参与原肠胚返回的分子和细胞机制。这是一个发育阶段,描绘了三个胚胎胚层:外胚层、内胚层和中胚层。因此,在出生后的损伤皮肤中,与胚胎中胚层相关的原始功能,即羊膜和卵黄囊衍生的功能得以表达。在涉及的原始功能机制中,神经发生和血液发生尤为突出。有趣的是,在炎症反应的这些阶段,其分子和细胞机制被认为是胚胎发育早期阶段的痕迹,肥大细胞,一种被认为是炎症的细胞,起着关键作用。胚胎和炎症事件之间可以建立的相关性表明,从这两个大知识领域的研究中获得的结果必须是可互换的,以获得最大的优势。
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引用次数: 24
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