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Simple measures to capture the robustness and the plasticity of soil microbial communities 捕捉土壤微生物群落稳健性和可塑性的简单方法
Pub Date : 2024-09-05 DOI: arxiv-2409.03372
Takashi Shimada, Kazumori Mise, Kai Morino, Shigeto Otsuka
Soil microbial communities are known to be robust against perturbations suchas nutrition inputs, which appears as an obstacle for the soil improvement. Onthe other hand, its adaptable aspect has been also reported. Here we proposesimple measures for these seemingly contradicting features of soil microbialcommunities, robustness and plasticity, based on the distribution of thepopulations. The first measure is the similarity in the population balance,i.e. the shape of the distribution function, which is found to show resilienceagainst the nutrition inputs. The other is the similarity in the composition ofthe species measured by the rank order of the population, which shows anadaptable response during the population balance is recovering. These resultsclearly show that the soil microbial system is robust (or, homeostatic) in itspopulation balance, while the composition of the species is rather plastic andadaptable.
众所周知,土壤微生物群落对营养输入等扰动具有很强的抵抗力,这似乎是土壤改良的一个障碍。另一方面,其适应性也有报道。在此,我们根据种群的分布情况,为土壤微生物群落的稳健性和可塑性这两个看似矛盾的特征提出了简单的测量方法。第一种测量方法是种群平衡的相似性,即分布函数的形状。另一个衡量标准是物种组成的相似性,以种群的等级顺序来衡量,这表明在种群平衡恢复过程中存在适应性反应。这些结果清楚地表明,土壤微生物系统在其种群平衡中是稳健的(或者说是平衡的),而物种组成则具有相当大的可塑性和适应性。
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引用次数: 0
Homoclinic Chaos Unveiling Quorum Sensing Dynamics 同线性混沌揭示法定人数感应动力学
Pub Date : 2024-09-04 DOI: arxiv-2409.02764
Mariana Harris, Pablo Aguirre, Víctor F. Breña-Medina
Quorum sensing orchestrates bacterial communication, which is vital forbacteria's population behaviour. We propose a mathematical model that unveilschaotic dynamics within quorum sensing networks, challenging predictability.The model considers the interaction between autoinducers (molecular signalling)and two subtypes of bacteria. We analyze the different dynamical scenarios tofind parameter regimes for long-term steady-state behaviour, periodicoscillations, and even chaos. In the latter case, we find that the complicateddynamics can be explained by the presence of homoclinic Shilnikov bifurcations.
法定人数感应协调了细菌的交流,对细菌的种群行为至关重要。我们提出了一个数学模型,揭示了法定人数感应网络中的混乱动力学,对可预测性提出了挑战。该模型考虑了自动诱导剂(分子信号)与两种亚型细菌之间的相互作用。我们分析了不同的动力学情景,以找到长期稳态行为、周期性振荡甚至混沌的参数机制。在后一种情况下,我们发现复杂的动力学可以用同向 Shilnikov 分岔来解释。
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引用次数: 0
Regulatory Functions from Cells to Society 从细胞到社会的调节功能
Pub Date : 2024-09-04 DOI: arxiv-2409.02884
Vicky Chuqiao Yang, Christopher P. Kempes, S. Redner, Geoffrey B. West, Hyejin Youn
Regulatory functions are essential in both socioeconomic and biologicalsystems, from corporate managers to regulatory genes in genomes. Regulatoryfunctions come with substantial costs, but are often taken for granted. Here,we empirically examine regulatory costs across diverse systems -- biologicalorganisms (bacteria and eukaryotic genomes), human organizations (companies,federal agencies, universities), and decentralized entities (Wikipedia, cities)-- using scaling analysis. We guide the empirical analysis with a conceptualmodel, which anticipates the scaling of regulatory costs to shift with thesystem's internal interaction structure -- well-mixed or modular. We finddiverse systems exhibit consistent scaling patterns -- well-mixed systemsexhibit superlinear scaling, while modular ones show sublinear or linearscaling. Further, we find that the socioeconomic systems containing morediverse occupational functions tend to have more regulatory costs than expectedfrom their size, confirming the type of interactions also plays a role inregulatory costs. While many socioeconomic systems exhibit efficiencies ofscale, regulatory costs in many social systems have grown disproportionallyover time. Our finding suggests that the increasing complexity of functions maycontribute to this trend. This cross-system comparison offers a framework forunderstanding regulatory costs and could guide future efforts to identify andmitigate regulatory inefficiencies.
从企业管理者到基因组中的调控基因,调控功能在社会经济和生物系统中都至关重要。调控功能需要付出巨大的代价,但人们往往认为这是理所当然的。在此,我们通过缩放分析法对不同系统--生物有机体(细菌和真核生物基因组)、人类组织(公司、联邦机构、大学)和分散实体(维基百科、城市)--的监管成本进行了实证研究。我们用一个概念模型来指导实证分析,该模型预计监管成本的缩放会随着系统内部互动结构(混合或模块化)的变化而变化。我们发现不同的系统表现出一致的缩放模式--混合良好的系统表现出超线性缩放,而模块化系统则表现出亚线性或线性缩放。此外,我们还发现,包含更多样化职业功能的社会经济系统的监管成本往往高于其规模预期,这证实了互动类型也在监管成本中发挥着作用。虽然许多社会经济体系表现出规模效率,但许多社会体系的监管成本却随着时间的推移而不成比例地增长。我们的研究结果表明,功能的日益复杂可能是导致这一趋势的原因。这种跨系统比较为理解监管成本提供了一个框架,可以指导未来识别和缓解监管低效的工作。
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引用次数: 0
Numerical Study of Interaction Network Structures in Competitive Ecosystems 竞争性生态系统中互动网络结构的数值研究
Pub Date : 2024-09-03 DOI: arxiv-2409.01894
David A. Kessler, Nadav M. Shnerb
We present a numerical analysis of local community assembly through weakmigration from a regional species pool. At equilibrium, the local communityconsists of a subset ("clique") of species from the regional community. Ouranalysis reveals that the interaction networks of these cliques exhibitnontrivial architectures. Specifically, we demonstrate the pronounced nestedstructure of the clique interaction matrix in the case of symmetricinteractions and the hyperuniform structure seen in asymmetric communities.
我们对通过区域物种库的弱迁移进行的地方群落集结进行了数值分析。在平衡状态下,地方群落由区域群落中的一个物种子集("小群")组成。我们的分析表明,这些小群的相互作用网络呈现出非简单的结构。具体来说,我们展示了对称相互作用情况下小群相互作用矩阵的明显嵌套结构,以及不对称群落中的超均匀结构。
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引用次数: 0
Compartment model of strategy-dependent time delays in replicator dynamics 复制器动态中与策略有关的时间延迟的区室模型
Pub Date : 2024-09-02 DOI: arxiv-2409.01116
Małgorzata Fic, Frank Bastian, Jacek Miękisz, Chaitanya S. Gokhale
Real-world processes often exhibit temporal separation between actions andreactions - a characteristic frequently ignored in many modelling frameworks.Adding temporal aspects, like time delays, introduces a higher complexity ofproblems and leads to models that are challenging to analyse andcomputationally expensive to solve. In this work, we propose an intermediatesolution to resolve the issue in the framework of evolutionary game theory. Ourcompartment-based model includes time delays while remaining relatively simpleand straightforward to analyse. We show that this model yields qualitativelycomparable results with models incorporating explicit delays. Particularly, wefocus on the case of delays between parents' interaction and an offspringjoining the population, with the magnitude of the delay depending on theparents' strategy. We analyse Stag-Hunt, Snowdrift, and the Prisoner's Dilemmagame and show that strategy-dependent delays are detrimental to affectedstrategies. Additionally, we present how including delays may change theeffective games played in the population, subsequently emphasising theimportance of considering the studied systems' temporal aspects to model themaccurately.
在现实世界中,行动与反应之间往往存在时间上的分离--许多建模框架经常忽略这一特点。增加时间方面的因素,如时间延迟,会带来更高的问题复杂性,导致模型分析难度大,求解计算成本高。在这项工作中,我们提出了一个中间解决方案,在进化博弈论的框架内解决这个问题。我们基于区间的模型包含了时间延迟,同时保持了相对简单和直接的分析。我们的研究结果表明,该模型与包含显式延迟的模型得出的结果在质量上具有可比性。特别是,我们重点研究了父母互动与后代加入种群之间的延迟情况,延迟的大小取决于父母的策略。我们分析了 "雄鹿狩猎"、"雪地漂移 "和 "囚徒困境 "游戏,结果表明与策略相关的延迟对受影响的策略是不利的。此外,我们还介绍了加入延迟会如何改变人群中的有效博弈,从而强调了考虑所研究系统的时间因素以准确建模的重要性。
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引用次数: 0
Mathematical model of CAR-T-cell therapy for a B-cell Lymphoma lymph node CAR-T 细胞疗法治疗 B 细胞淋巴瘤淋巴结的数学模型
Pub Date : 2024-09-02 DOI: arxiv-2409.01164
Soukaina Sabir, Odelaisy León-Triana, Sergio Serrano, Roberto Barrio, Victor M. Pérez-García
CAR-T cell therapies have demonstrated significant success in treating B-cellleukemia in children and young adults. However, their effectiveness in treatingB-cell lymphomas has been limited. Unlike leukemia, lymphoma often manifests assolid masses of cancer cells in lymph nodes, glands, or organs, making thesetumors harder to access thus hindering treatment response. In this paper wepresent a mathematical model that elucidates the dynamics of diffuse largeB-cell lymphoma and CAR-T cells in a lymph node. The mathematical model aids inunderstanding the complex interplay between the cell populations involved andproposes ways to identify potential underlying dynamical causes of treatmentfailure. We also study the phenomenon of immunosuppression induced by tumorcells and theoretically demonstrate its impact on cell dynamics. Through theexamination of various response scenarios, we underscore the significance ofproduct characteristics in treatment outcomes.
CAR-T 细胞疗法在治疗儿童和年轻人的 B 细胞白血病方面取得了巨大成功。然而,它们在治疗 B 细胞淋巴瘤方面的效果有限。与白血病不同,淋巴瘤通常表现为淋巴结、腺体或器官中的癌细胞团块,这使得肿瘤更难进入,从而阻碍了治疗反应。在本文中,我们提出了一个数学模型,该模型阐明了弥漫大B细胞淋巴瘤和CAR-T细胞在淋巴结中的动态变化。该数学模型有助于理解相关细胞群之间复杂的相互作用,并提出了识别治疗失败潜在潜在动态原因的方法。我们还研究了肿瘤细胞诱导的免疫抑制现象,并从理论上证明了它对细胞动力学的影响。通过对各种反应情况的研究,我们强调了产品特性在治疗结果中的重要性。
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引用次数: 0
Forecasting infectious disease prevalence with associated uncertainty using neural networks 利用神经网络预测具有相关不确定性的传染病流行率
Pub Date : 2024-09-02 DOI: arxiv-2409.01154
Michael Morris
Infectious diseases pose significant human and economic burdens. Accuratelyforecasting disease incidence can enable public health agencies to respondeffectively to existing or emerging diseases. Despite progress in the field,developing accurate forecasting models remains a significant challenge. Thisthesis proposes two methodological frameworks using neural networks (NNs) withassociated uncertainty estimates - a critical component limiting theapplication of NNs to epidemic forecasting thus far. We develop our frameworksby forecasting influenza-like illness (ILI) in the United States. Our firstproposed method uses Web search activity data in conjunction with historicalILI rates as observations for training NN architectures. Our models incorporateBayesian layers to produce uncertainty intervals, positioning themselves aslegitimate alternatives to more conventional approaches. The best performingarchitecture: iterative recurrent neural network (IRNN), reduces mean absoluteerror by 10.3% and improves Skill by 17.1% on average in forecasting tasksacross four flu seasons compared to the state-of-the-art. We build on thismethod by introducing IRNNs, an architecture which changes the samplingprocedure in the IRNN to improve the uncertainty estimation. Our secondframework uses neural ordinary differential equations to bridge the gap betweenmechanistic compartmental models and NNs; benefiting from the physicalconstraints that compartmental models provide. We evaluate eight neural ODEmodels utilising a mixture of ILI rates and Web search activity data to provideforecasts. These are compared with the IRNN and IRNN0 - the IRNN using only ILIrates. Models trained without Web search activity data outperform the IRNN0 by16% in terms of Skill. Future work should focus on more effectively usingneural ODEs with Web search data to compete with the best performing IRNN.
传染病给人类和经济造成了巨大负担。准确预测疾病的发病率可以使公共卫生机构有效应对现有的或新出现的疾病。尽管该领域取得了进展,但开发准确的预测模型仍是一项重大挑战。本论文提出了两个使用神经网络(NN)的方法框架以及相关的不确定性估计,这是迄今为止限制神经网络应用于流行病预测的一个关键因素。我们通过预测美国的流感样疾病(ILI)来开发我们的框架。我们提出的第一种方法将网络搜索活动数据与历史 ILI 发病率结合起来,作为训练 NN 架构的观测数据。我们的模型结合贝叶斯层来产生不确定性区间,将自己定位为传统方法的合法替代品。在四个流感季节的预测任务中,表现最好的架构:迭代递归神经网络(IRNN)与最先进的架构相比,平均绝对误差减少了 10.3%,技能提高了 17.1%。我们在这一方法的基础上引入了 IRNN,这一架构改变了 IRNN 中的采样过程,从而改进了不确定性估计。我们的第二个框架使用神经常微分方程来弥合机理分区模型和神经网络之间的差距,并从分区模型提供的物理约束中获益。我们利用 ILI 率和网络搜索活动数据的混合物来提供预测,并对八个神经 ODE 模型进行了评估。这些模型与 IRNN 和 IRNN0(IRNN 仅使用 ILI 率)进行了比较。不使用网络搜索活动数据训练的模型在技能方面比 IRNN0 高出 16%。未来的工作重点应该是更有效地利用网络搜索数据来使用神经 ODE,从而与表现最好的 IRNN 竞争。
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引用次数: 0
Modeling contagious disease spreading 模拟传染病传播
Pub Date : 2024-09-02 DOI: arxiv-2409.01103
Dipak Patra
An understanding of the disease spreading phenomenon based on a mathematicalmodel is extremely needed for the implication of the correct policy measures tocontain the disease propagation. Here, we report a new model namely theIsing-SIR model describing contagious disease spreading phenomena includingboth airborne and direct contact disease transformations. In the airborne case,a susceptible agent can catch the disease either from the environment or itsinfected neighbors whereas in the second case, the agent can be infected onlythrough close contact with its infected neighbors. We have performed MonteCarlo simulations on a square lattice using periodic boundary conditions toinvestigate the dynamics of disease spread. The simulations demonstrate thatthe mechanism of disease spreading plays a significant role in the growthdynamics and leads to different growth exponent. In the direct contact diseasespreading mechanism, the growth exponent is nearly equal to two for some modelparameters which agrees with earlier empirical observations. In addition, themodel predicts various types of spatiotemporal patterns that can be observed innature.
要想采取正确的政策措施遏制疾病传播,就必须在数学模型的基础上了解疾病传播现象。在此,我们报告了一个描述传染病传播现象(包括空气传播和直接接触传播)的新模型,即 Ising-SIR 模型。在空气传播的情况下,易感病原体可以从环境或其受感染的邻居那里感染疾病,而在第二种情况下,病原体只能通过与其受感染的邻居密切接触而感染疾病。我们利用周期性边界条件在正方形晶格上进行了蒙特卡罗模拟,以研究疾病传播的动态。模拟结果表明,疾病传播机制在生长动力学中起着重要作用,并导致不同的生长指数。在疾病直接接触传播机制中,某些模型参数下的增长指数几乎等于 2,这与早期的经验观察结果一致。此外,该模型还预测了可以在自然界中观察到的各种时空模式。
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引用次数: 0
Swarm Systems as a Platform for Open-Ended Evolutionary Dynamics 作为开放式进化动力学平台的蜂群系统
Pub Date : 2024-09-02 DOI: arxiv-2409.01469
Hiroki Sayama
Artificial swarm systems have been extensively studied and used in computerscience, robotics, engineering and other technological fields, primarily as aplatform for implementing robust distributed systems to achieve pre-definedobjectives. However, such swarm systems, especially heterogeneous ones, canalso be utilized as an ideal platform for creating *open-ended evolutionarydynamics* that do not converge toward pre-defined goals but keep exploringdiverse possibilities and generating novel outputs indefinitely. In thisarticle, we review Swarm Chemistry and its variants as concrete sample cases toillustrate beneficial characteristics of heterogeneous swarm systems, includingthe cardinality leap of design spaces, multiscale structures/behaviors andtheir diversity, and robust self-organization, self-repair and ecologicalinteractions of emergent patterns, all of which serve as the driving forces foropen-ended evolutionary processes. Applications to science, engineering, andart/entertainment as well as the directions of further research are alsodiscussed.
人工蜂群系统在计算机科学、机器人学、工程学和其他技术领域得到了广泛的研究和应用,主要用作实现预定目标的稳健分布式系统的平台。然而,这种蜂群系统,尤其是异构蜂群系统,也可以作为一个理想的平台,用于创建*开放式进化动力*,这种动力不会向预定目标靠拢,而是不断探索各种可能性,并无限期地产生新的输出。在本文中,我们回顾了 "蜂群化学"(Swarm Chemistry)及其变体,并将其作为具体的示例案例来说明异质蜂群系统的有益特性,包括设计空间的无限性跃迁、多尺度结构/行为及其多样性,以及新兴模式的稳健自组织、自修复和生态互动,所有这些都是开放式进化过程的驱动力。此外,还讨论了在科学、工程和艺术/娱乐领域的应用以及进一步研究的方向。
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引用次数: 0
Analysis of a mathematical model for malaria using data-driven approach 利用数据驱动方法分析疟疾数学模型
Pub Date : 2024-09-01 DOI: arxiv-2409.00795
Adithya Rajnarayanan, Manoj Kumar
Malaria is one of the deadliest diseases in the world, every year millions ofpeople become victims of this disease and many even lose their lives. Medicalprofessionals and the government could take accurate measures to protect thepeople only when the disease dynamics are understood clearly. In this work, wepropose a compartmental model to study the dynamics of malaria. We consider thetransmission rate dependent on temperature and altitude. We performed thesteady state analysis on the proposed model and checked the stability of thedisease-free and endemic steady state. An artificial neural network (ANN) isapplied to the formulated model to predict the trajectory of all fivecompartments following the mathematical analysis. Three different neuralnetwork architectures namely Artificial neural network (ANN), convolutionneural network (CNN), and Recurrent neural network (RNN) are used to estimatethese parameters from the trajectory of the data. To understand the severity ofa disease, it is essential to calculate the risk associated with the disease.In this work, the risk is calculated using dynamic mode decomposition(DMD) fromthe trajectory of the infected people.
疟疾是世界上最致命的疾病之一,每年都有数百万人成为这种疾病的受害者,许多人甚至失去了生命。医学专家和政府只有清楚地了解这种疾病的动态,才能采取准确的措施保护人民。在这项工作中,我们提出了一个研究疟疾动态的分室模型。我们考虑了传播率与温度和海拔的关系。我们对提出的模型进行了稳态分析,并检验了无病稳态和流行稳态的稳定性。在数学分析之后,我们将人工神经网络(ANN)应用于所建立的模型,以预测所有五个分区的轨迹。三种不同的神经网络架构,即人工神经网络(ANN)、卷积神经网络(CNN)和循环神经网络(RNN)被用来从数据轨迹中估计这些参数。为了了解疾病的严重程度,必须计算与疾病相关的风险。在这项工作中,使用动态模式分解(DMD)从感染者的轨迹中计算风险。
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引用次数: 0
期刊
arXiv - QuanBio - Populations and Evolution
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