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Circuit design in biology and machine learning. I. Random networks and dimensional reduction 生物学和机器学习中的电路设计I. 随机网络和降维
Pub Date : 2024-08-18 DOI: arxiv-2408.09604
Steven A. Frank
A biological circuit is a neural or biochemical cascade, taking inputs andproducing outputs. How have biological circuits learned to solve environmentalchallenges over the history of life? The answer certainly follows Dobzhansky'sfamous quote that ``nothing in biology makes sense except in the light ofevolution.'' But that quote leaves out the mechanistic basis by which naturalselection's trial-and-error learning happens, which is exactly what we have tounderstand. How does the learning process that designs biological circuitsactually work? How much insight can we gain about the form and function ofbiological circuits by studying the processes that have made those circuits?Because life's circuits must often solve the same problems as those faced bymachine learning, such as environmental tracking, homeostatic control,dimensional reduction, or classification, we can begin by considering howmachine learning designs computational circuits to solve problems. We can thenask: How much insight do those computational circuits provide about the designof biological circuits? How much does biology differ from computers in theparticular circuit designs that it uses to solve problems? This article stepsthrough two classic machine learning models to set the foundation for analyzingbroad questions about the design of biological circuits. One insight is thesurprising power of randomly connected networks. Another is the central role ofinternal models of the environment embedded within biological circuits,illustrated by a model of dimensional reduction and trend prediction. Overall,many challenges in biology have machine learning analogs, suggesting hypothesesabout how biology's circuits are designed.
生物回路是一个神经或生化级联,接受输入并产生输出。在生命的历史长河中,生物回路是如何学会解决环境挑战的呢?答案当然是杜布赞斯基的名言:"除了进化,生物学中没有任何东西是有意义的。但这句话忽略了自然选择的试错学习发生的机理基础,而这正是我们必须理解的。设计生物电路的学习过程究竟是如何进行的?因为生命电路通常必须解决与机器学习所面临的相同的问题,如环境跟踪、同源控制、降维或分类等,所以我们可以首先考虑机器学习如何设计计算电路来解决问题。然后我们可以问:这些计算电路为生物电路的设计提供了多少启示?生物学在用于解决问题的特定电路设计方面与计算机有多大不同?本文通过两个经典的机器学习模型,为分析有关生物电路设计的广泛问题奠定基础。其中一个洞察是随机连接网络的惊人力量。另一个启示是嵌入生物电路中的环境内部模型的核心作用,并通过一个降维和趋势预测模型加以说明。总之,生物学中的许多挑战都与机器学习类似,它们提出了关于生物学电路如何设计的假设。
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引用次数: 0
Predicting potential SARS-CoV-2 spillover and spillback in animals 预测 SARS-CoV-2 在动物体内的潜在蔓延和回溢
Pub Date : 2024-08-18 DOI: arxiv-2408.09555
Zi Hian Tan, Kian Yan Yong, Jian-Jun Shu
The COVID-19 pandemic is spreading rapidly around the world, causingcountries to impose lockdowns and efforts to develop vaccines on a globalscale. However, human-to-animal and animal-to-human transmission cannot beignored, as severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) canspread rapidly in farmed and wild animals. This could create a worrying cycleof SARS-CoV-2 spillover from humans to animals and spillback of new strainsback into humans, rendering vaccines ineffective. This study provides a keyindicator of animals that may be potential susceptible hosts for SARS-CoV-2 andcoronavirus infections by analysing the phylogenetic distance between hostangiotensin-converting enzyme 2 and the coronavirus spike protein. Crucially,our analysis identifies animals that are at elevated risk from a spillover andspillback incident. One group of animals has been identified as potentiallysusceptible to SARS-CoV-2 by harbouring a parasitic coronavirus spike proteinsimilar to the SARS-CoV-2 spike protein. These animals may serve asamplification hosts in spillover events from zoonotic reservoirs. Tracinginterspecies transmission in multi-host environments based solely on in vitroand in vivo examinations of animal susceptibility or serology is atime-consuming task. This approach allows rapid identification of high-riskanimals to prioritize research and assessment of the risk of zoonotic diseasetransmission in the environment. It is a tool to rapidly identify zoonoticspecies that may cause outbreaks or participate in expansion cycles ofcoexistence with their hosts. This prevents the spread of coronavirusinfections between species, preventing spillover and spillback incidents fromoccurring.
COVID-19 大流行正在全球迅速蔓延,导致各国实行封锁,并努力在全球范围内开发疫苗。然而,人对动物和动物对人的传播不容忽视,因为严重急性呼吸系统综合症冠状病毒 2(SARS-CoV-2)可在养殖和野生动物中迅速传播。这可能会造成一个令人担忧的循环:SARS-CoV-2 从人类向动物扩散,新的病毒株又向人类扩散,从而导致疫苗失效。本研究通过分析宿主血管紧张素转换酶 2 和冠状病毒尖峰蛋白之间的系统发育距离,为可能成为 SARS-CoV-2 和冠状病毒感染潜在易感宿主的动物提供了一个关键指标。最重要的是,我们的分析确定了哪些动物在外溢和回流事件中风险较高。其中一组动物被确定为可能感染 SARS-CoV-2 的动物,因为它们携带与 SARS-CoV-2 尖峰蛋白相似的寄生冠状病毒尖峰蛋白。这些动物可能是人畜共患病毒库溢出事件中的扩增宿主。在多宿主环境中,仅靠体外和体内动物易感性或血清学检查来追踪物种传播是一项耗时的任务。这种方法可以快速识别高风险动物,以便优先研究和评估人畜共患病在环境中传播的风险。它是一种快速识别可能导致疾病爆发或参与与其宿主共存的扩张周期的人畜共患病种的工具。这可以防止冠状病毒感染在物种间传播,防止发生外溢和回溢事件。
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引用次数: 0
Constructing the Molecular Tree of Life using Assembly Theory and Mass Spectrometry 利用组装理论和质谱技术构建生命分子树
Pub Date : 2024-08-17 DOI: arxiv-2408.09305
Amit Kahana, Alasdair MacLeod, Hessam Mehr, Abhishek Sharma, Emma Carrick, Michael Jirasek, Sara Walker, Leroy Cronin
Here we demonstrate the first biochemistry-agnostic approach to mapevolutionary relationships at the molecular scale, allowing the construction ofphylogenetic models using mass spectrometry (MS) and Assembly Theory (AT)without elucidating molecular identities. AT allows us to estimate thecomplexity of molecules by deducing the amount of shared information storedwithin them when . By examining 74 samples from a diverse range of biotic andabiotic sources, we used tandem MS data to detect 24102 analytes (9262 unique)and 59518 molecular fragments (6755 unique). Using this MS dataset, togetherwith AT, we were able to infer the joint assembly spaces (JAS) of samples frommolecular analytes. We show how JAS allows agnostic annotation of sampleswithout fingerprinting exact analyte identities, facilitating accuratedetermination of their biogenicity and taxonomical grouping. Furthermore, wedeveloped an AT-based framework to construct a biochemistry-agnosticphylogenetic tree which is consistent with genome-based models and outperformsother similarity-based algorithms. Finally, we were able to use AT to trackcolony lineages of a single bacterial species based on phenotypic variation intheir molecular composition with high accuracy, which would be challenging totrack with genomic data. Our results demonstrate how AT can expand causalmolecular inference to non-sequence information without requiring exactmolecular identities, thereby opening the possibility to study previouslyinaccessible biological domains.
在这里,我们展示了第一种在分子尺度上绘制进化关系图的生化无关方法,这种方法允许在不阐明分子特征的情况下利用质谱法(MS)和组装理论(AT)构建系统发育模型。组装理论允许我们通过推断分子中存储的共享信息量来估计分子的复杂性。通过研究来自不同生物和非生物来源的 74 个样本,我们使用串联质谱数据检测到了 24102 个分析物(9262 个唯一)和 59518 个分子片段(6755 个唯一)。利用该 MS 数据集和 AT,我们能够从分子分析物推断出样本的联合组装空间(JAS)。我们展示了联合组装空间如何在不对分析物的确切身份进行指纹识别的情况下对样品进行不可知的注释,从而有助于准确确定样品的生物属性和分类分组。此外,我们还开发了一个基于 AT 的框架,用于构建生化不可知论的系统发生树,该树与基于基因组的模型一致,并优于其他基于相似性的算法。最后,我们能够利用 AT 根据细菌分子组成的表型变化,高精度地追踪单个细菌物种的菌落谱系,而利用基因组数据追踪菌落谱系则具有挑战性。我们的研究结果表明了 AT 如何在不要求精确分子特征的情况下将因果分子推断扩展到非序列信息,从而为研究以前难以触及的生物领域提供了可能性。
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引用次数: 0
Noisy information channel mediated prevention of the tragedy of the commons 以嘈杂信息渠道为媒介防止公地悲剧的发生
Pub Date : 2024-08-16 DOI: arxiv-2408.08744
Samrat Sohel Mondal, Sagar Chakraborty
Synergy between evolutionary dynamics of cooperation and fluctuating state ofshared resource being consumed by the cooperators is essential for averting thetragedy of the commons. Not only in humans, but also in the cognitively-limitedorganisms, this interplay between the resource and the cooperation isubiquitously witnessed. The strategically interacting players engaged in suchgame-environment feedback scenarios naturally pick strategies based on theirperception of the environmental state. Such perception invariably happensthrough some sensory information channels that the players are endowed with.The unfortunate reality is that any sensory channel must be noisy due tovarious factors; consequently, the perception of the environmental statebecomes faulty rendering the players incapable of adopting the strategy thatthey otherwise would. Intriguingly, situation is not as bad as it sounds. Herewe introduce the hitherto neglected information channel between players and theenvironment into the paradigm of stochastic evolutionary games with a view tobringing forward the counterintuitive possibility of emergence and sustenanceof cooperation on account of the noise in the channel. Our primary study is inthe simplest non-trivial setting of two-state stochastically fluctuatingresource harnessed by a large unstructured population of cooperators anddefectors adopting either memory-1 strategies or reactive strategies whileengaged in repeated two-player interactions. The effect of noisy informationchannel in enhancing the cooperation in reactive-strategied population isunprecedented. We find that the propensity of cooperation in the population isinversely related to the mutual information (normalized by the channelcapacity) of the corresponding information channel.
合作的进化动力与合作者消耗共享资源的波动状态之间的协同作用对于避免公地悲剧至关重要。不仅在人类身上,在认知能力有限的生物体内,这种资源与合作之间的相互作用也随处可见。在这种游戏-环境反馈场景中,参与战略互动的玩家自然会根据他们对环境状态的感知来选择策略。不幸的现实是,由于各种因素的影响,任何感官渠道都可能是嘈杂的;因此,对环境状态的感知就会出现问题,导致玩家无法采取他们本该采取的策略。有趣的是,情况并不像听起来那么糟糕。在此,我们将迄今为止一直被忽视的博弈者与环境之间的信息渠道引入随机演化博弈范式,以期提出一种反直觉的可能性,即由于渠道中的噪声而导致合作的出现和维持。我们的主要研究是在最简单的非三维背景下进行的,即由大量非结构化的合作者和破坏者组成的群体利用双态随机波动资源,在重复的双人互动中采取记忆-1策略或反应策略。噪声信息渠道在增强反应策略群体合作中的作用是前所未有的。我们发现,群体中的合作倾向与相应信息渠道的互信息(按渠道容量归一化)成反比。
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引用次数: 0
Analysing pandemics in phase-space 从阶段空间分析大流行病
Pub Date : 2024-08-15 DOI: arxiv-2408.08036
Olivier Merlo
Based on the SIRD-model a new model including time-delay is proposed for adescription of the outbreak of the novel coronavirus Sars-CoV-2 pandemic. Alldata were analysed by representing all quantities as a function of thesusceptible population, as opposed to the usual dependence on time. The totalnumber of deaths could be predicted for the first, second and third wave of thepandemic in Germany with an accuracy of about 10%, shortly after the maximumof infectious people was reached. By using the presentation in phase space, itcould be shown that a classical SEIRD- and SIRD-model with constant parameterswill not be able to describe the first wave of the pandemic accurately.
在 SIRD 模型的基础上,提出了一个包含时间延迟的新模型,用于描述新型冠状病毒 Sars-CoV-2 大流行的爆发。通过将所有数量表示为易感人群的函数来分析所有数据,而不是通常的时间依赖性。在达到最大感染人数后不久,可以预测德国第一、第二和第三波大流行的死亡总人数,准确率约为 10%。通过在相空间中的演示,可以证明经典的 SEIRD 模型和 SIRD 模型(参数不变)无法准确描述大流行的第一波。
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引用次数: 0
Stochastic diffusion using mean-field limits to approximate master equations 利用平均场极限近似主方程的随机扩散
Pub Date : 2024-08-14 DOI: arxiv-2408.07755
Laurent Hébert-Dufresne, Matthew M. Kling, Samuel F. Rosenblatt, Stephanie N. Miller, P. Alexander Burnham, Nicholas W. Landry, Nicholas J. Gotelli, Brian J. McGill
Stochastic diffusion is the noisy and uncertain process through whichdynamics like epidemics, or agents like animal species, disperse over a largerarea. Understanding these processes is becoming increasingly important as weattempt to better prepare for potential pandemics and as species ranges shiftin response to climate change. Unfortunately, modeling of stochastic diffusionis mostly done through inaccurate deterministic tools that fail to capture therandom nature of dispersal or else through expensive computational simulations.In particular, standard tools fail to fully capture the heterogeneity of thearea over which this diffusion occurs. Rural areas with low population densityrequire different epidemic models than urban areas; likewise, the edges of aspecies range require us to explicitly track low integer numbers of individualsrather than vague averages. In this work, we introduce a series of new toolscalled "mean-FLAME" models that track stochastic dispersion using approximatemaster equations that explicitly follow the probability distribution of an areaof interest over all of its possible states, up to states that are activeenough to be approximated using a mean-field model. In one limit, this approachis locally exact if we explicitly track enough states, and in the other limitcollapses back to traditional deterministic models if we track no stateexplicitly. Applying this approach, we show how deterministic tools fail tocapture the uncertainty around the speed of nonlinear dynamical processes. Thisis especially true for marginal areas that are close to unsuitable fordiffusion, like the edge of a species range or epidemics in small populations.Capturing the uncertainty in such areas is key to producing accurate forecastsand guiding potential interventions.
随机扩散是一个嘈杂而不确定的过程,通过这个过程,流行病等动力或动物物种等媒介会扩散到更大的区域。随着我们试图更好地应对潜在的流行病,以及物种分布范围因气候变化而发生变化,了解这些过程变得越来越重要。遗憾的是,随机扩散的建模大多是通过不准确的确定性工具完成的,这些工具无法捕捉扩散的随机性,或者是通过昂贵的计算模拟完成的。人口密度低的农村地区需要与城市地区不同的流行病模型;同样,物种分布范围的边缘要求我们明确跟踪低整数个体,而不是模糊的平均值。在这项工作中,我们引入了一系列称为 "均值-FLAME "模型的新工具,这些模型使用近似主方程跟踪随机扩散,这些近似主方程明确跟踪感兴趣区域在其所有可能状态下的概率分布,直至活跃到可以使用均值场模型进行近似的状态。在一个极限中,如果我们明确跟踪足够多的状态,这种方法在局部上是精确的;而在另一个极限中,如果我们不明确跟踪任何状态,就会退回到传统的确定性模型。应用这种方法,我们展示了确定性工具如何无法捕捉非线性动力学过程速度的不确定性。对于接近不适合扩散的边缘区域,如物种范围的边缘或小种群中的流行病,情况尤其如此。
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引用次数: 0
Dwellers in the Deep: Biological Consequences of Dark Oxygen 深海居民:暗氧的生物后果
Pub Date : 2024-08-13 DOI: arxiv-2408.06841
Manasvi Lingam, Amedeo Balbi, Madhur Tiwari
The striking recent putative detection of "dark oxygen" (dark O$_2$) sourceson the abyssal ocean floor in the Pacific at $sim 4$ km depth raises theintriguing scenario that complex (i.e., animal-like) life could exist inunderwater environments sans oxygenic photosynthesis. In this work, we thusexplore the possible (astro)biological implications of this discovery. From theavailable data, we roughly estimate the concentration of dissolved O$_2$ andthe corresponding O$_2$ partial pressure, as well as the flux of O$_2$production, associated with dark oxygen sources. Based on these values, weinfer that organisms limited by internal diffusion may reach maximal sizes of$sim 0.1-1$ mm in habitats with dark O$_2$, while those with circulatorysystems might achieve sizes of $sim 0.1-10$ cm. Optimistically, the estimateddark oxygen flux can potentially support biomass densities up to $sim 3-30$ gm$^{-2}$, perhaps surpassing typical reported densities at similar depths inglobal deep-sea surveys. Finally, we outline how oceanic settings with darkO$_2$ may facilitate the origin(s) of life via the emergence of electrotrophy.Our findings indicate that complex life fueled by dark oxygen is plausiblycapable of inhabiting submarine environments devoid of photosynthesis on Earth,conceivably extending likewise to extraterrestrial locations such as icy worldswith subsurface oceans (e.g., Enceladus and Europa), which are likely commonthroughout the Universe.
最近在太平洋深海海底 4 千米深处发现了 "暗氧"(dark O$_2$)源,这一惊人的推定发现提出了一个令人感兴趣的设想,即在没有含氧光合作用的水下环境中可能存在复杂的(即类似动物的)生命。在这项工作中,我们探讨了这一发现可能产生的(天体)生物学影响。根据现有数据,我们大致估算了与暗氧源相关的溶解 O$_2$ 浓度和相应的 O$_2$ 分压,以及 O$_2$ 生成通量。根据这些数值,我们推断,在有暗氧源的栖息地中,受内部扩散限制的生物体最大可能达到0.1-1毫米,而有循环系统的生物体可能达到0.1-10厘米。乐观地说,估计的暗氧通量有可能支持高达 3-30$ gm$^{-2}$的生物量密度,也许会超过全球深海调查报告的类似深度的典型密度。最后,我们概述了具有暗氧的海洋环境是如何通过电营养体的出现来促进生命起源的。我们的发现表明,由暗氧所驱动的复杂生命似乎有能力栖息在地球上没有光合作用的海底环境中,可以想象,它同样可以扩展到地外地点,如具有地表下海洋的冰冷世界(如恩克拉多斯和欧罗巴),这些地方很可能在整个宇宙中都很常见。
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引用次数: 0
A complete characterization of pairs of binary phylogenetic trees with identical $A_k$-alignments 具有相同 A_k$ 对齐结果的成对二元系统发生树的完整表征
Pub Date : 2024-08-13 DOI: arxiv-2408.07011
Mirko Wilde, Mareike Fischer
Phylogenetic trees play a key role in the reconstruction of evolutionaryrelationships. Typically, they are derived from aligned sequence data (likeDNA, RNA, or proteins) by using optimization criteria like, e.g., maximumparsimony (MP). It is believed that the latter is able to reconstruct theenquote{true} tree, i.e., the tree that generated the data, whenever thenumber of substitutions required to explain the data with that tree isrelatively small compared to the size of the tree (measured in the number $n$of leaves of the tree, which represent the species under investigation).However, reconstructing the correct tree from any alignment first and foremostrequires the given alignment to perform differently on the enquote{correct}tree than on others. A special type of alignments, namely so-called $A_k$-alignments, has gainedconsiderable interest in recent literature. These alignments consist of allbinary characters (enquote{sites}) which require precisely $k$ substitutionson a given tree. It has been found that whenever $k$ is small enough (incomparison to $n$), $A_k$-alignments uniquely characterize the trees thatgenerated them. However, recent literature has left a significant gap between$kleq 2k+2$ -- namely the cases in which no such characterization is possible-- and $kgeq 4k$ -- namely the cases in which this characterization works. Itis the main aim of the present manuscript to close this gap, i.e., to present afull characterization of all pairs of trees that share the same$A_k$-alignment. In particular, we show that indeed every binary phylogenetictree with $n$ leaves is uniquely defined by its $A_k$-alignments if $ngeq2k+3$. By closing said gap, we also ensure that our result is optimal.
系统发生树在重建进化关系中起着关键作用。通常情况下,系统发生树是通过最大同源性(MP)等优化标准,从对齐的序列数据(如DNA、RNA或蛋白质)中推导出来的。人们认为,只要用这棵树解释数据所需的替换数相对于树的大小(以树的叶子数$n$来衡量,叶子代表被研究的物种)较小,后者就能重建(enquote{true})树,即生成数据的树。然而,从任何排列中重建正确的树首先要求给定的排列在(enquote{correct})树上的表现不同于在其他树上的表现。一种特殊类型的排列,即所谓的 $A_k$-排列,在最近的文献中引起了相当大的兴趣。这些排列由所有二进制字符(enquote{sites})组成,这些字符需要在给定的树上精确地进行 $k$ 替换。研究发现,只要 $k$ 足够小(与 $n$ 相比),$A_k$-排列就能唯一地描述产生这些排列的树。然而,最近的文献在$kleq 2k+2$--即不可能进行这种表征的情况--和$kgeq 4k$--即这种表征起作用的情况之间留下了很大的空白。本手稿的主要目的是填补这一空白,即对所有共享相同 $A_k$ 对齐方式的树对进行全面描述。特别是,我们证明,如果 $ngeq2k+3$ ,那么每一棵有 $n$ 叶子的二元系统树都是由其 $A_k$ 对齐方式唯一定义的。通过缩小上述差距,我们还确保了我们的结果是最优的。
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引用次数: 0
Influence of bovines and rodents in the spread of schistosomiasis across the ricefield-lakescape of Lake Mainit, Philippines: An Optimal Control Study 牛群和啮齿动物对血吸虫病在菲律宾美尼特湖稻田-湖泊间传播的影响:优化控制研究
Pub Date : 2024-08-10 DOI: arxiv-2408.05559
J. P. Arcede, B. Doungsavanhb, L. A. Estaño, J. C. Jumawan, J. H. Jumawan, Y. Mammeri
Schistosomiasis remains a persistent challenge in tropical freshwaterecosystems, necessitating the development of refined control strategies.Bovines, especially water buffaloes, are commonly used in traditional farmingpractices across rural areas of the Philippines. Bovines, however, are thebiggest reservoir hosts for schistosome eggs, which contribute to the activetransmission cycle of schistosomiasis in rice fields. We propose a mathematicalmodel to analyze schistosomiasis dynamics in rice fields near the Lake Mainitin the Philippines, an area known for endemic transmission of schistosomiasis,focusing on human, bovine, and snail populations. Rodents, although considered,were not directly included in the control strategies. Grounded in field data,the model, built on a system of nonlinear ordinary differential equations,enabled us to derive the basic reproduction number and assess variousintervention strategies. The simulation of optimal control scenarios,incorporating chemotherapy, mollusciciding, and mechanical methods, provides acomparative analysis of their efficacies. The results indicated that theintegrated control strategies markedly reduced the prevalence ofschistosomiasis. This study provides insights into optimal control strategiesthat are vital for policymakers to design effective, sustainableschistosomiasis control programs, underscored by the necessity to includebovine populations in treatment regimens.
血吸虫病仍然是热带淡水生态系统面临的一项长期挑战,因此有必要制定完善的控制策略。在菲律宾农村地区的传统农业实践中,牛,尤其是水牛,是常用的动物。然而,牛是血吸虫卵的最大蓄积宿主,而血吸虫卵又促成了血吸虫病在稻田中的主动传播循环。我们提出了一个数学模型来分析菲律宾美因提湖附近稻田的血吸虫病动态,该地区是已知的血吸虫病地方性传播区,重点是人、牛和蜗牛种群。虽然考虑了啮齿动物,但并未将其直接纳入控制策略。该模型以实地数据为基础,建立在非线性常微分方程系统之上,使我们能够推导出基本繁殖数量并评估各种干预策略。通过模拟结合化疗、杀软体动物和机械方法的最佳控制方案,对其效果进行了比较分析。结果表明,综合控制策略显著降低了血吸虫病的流行率。这项研究为决策者设计有效、可持续的血吸虫病控制计划提供了最佳控制策略方面的见解,并强调了将牛群纳入治疗方案的必要性。
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引用次数: 0
Within-host infection dynamics with master equations and the method of moments: A case study of human papillomavirus in the epithelium 使用主方程和矩量法的宿主内感染动力学:上皮细胞中人类乳头瘤病毒的案例研究
Pub Date : 2024-08-09 DOI: arxiv-2408.05298
Mariah C. Boudreau, Jamie A. Cohen, Laurent Hébert-Dufresne
Master equations provide researchers with the ability to track thedistribution over possible states of a system. From these equations, we cansummarize the temporal dynamics through a method of moments. Thesedistributions and their moments capture the stochastic nature of a system,which is essential to study infectious diseases. In this paper, we define thestates of the system to be the number of infected cells of a given type in theepithelium, the hollow organ tissue in the human body. Epithelium found in thecervix provides a location for viral infections to live and persist, such ashuman papillomavirus (HPV). HPV is a highly transmissible disease which mostcommonly affects biological females and has the potential to progress intocervical cancer. By defining a master equation model which tracks the infectedcell layer dynamics, information on disease extinction, progression, and viraloutput can be derived from the method of moments. From this methodology and theoutcomes we glean from it, we aim to inform differing states of HPV infectedcells, and assess the effects of structural information for each outcome.
主方程为研究人员提供了跟踪系统可能状态分布的能力。从这些方程中,我们可以通过矩方法总结出时间动态。分布及其矩捕捉到了系统的随机性质,这对研究传染病至关重要。在本文中,我们将系统的状态定义为人体中空器官组织--上皮细胞中特定类型的受感染细胞数量。宫颈上皮为病毒感染(如人类乳头瘤病毒(HPV))提供了生存和持续存在的场所。人乳头瘤病毒是一种传播性极强的疾病,最常见于生物女性,并有可能发展成宫颈癌。通过定义一个跟踪受感染细胞层动态的主方程模型,可以用矩法得出疾病消亡、发展和病毒输出的信息。从这一方法及其得出的结果中,我们旨在了解 HPV 感染细胞的不同状态,并评估结构信息对每种结果的影响。
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引用次数: 0
期刊
arXiv - QuanBio - Populations and Evolution
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