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Erratum to “Leading edge of the a-wave of the electroretinogram and sodium iodate-induced age-related macular degeneration: A Model” [J. Theor. Biol. 592 (2024) 01–17/111879] 对 "视网膜电图 a 波前缘与碘酸钠诱发的老年性黄斑变性:一个模型" [J. Theor. Biol.
IF 1.9 4区 数学 Q2 BIOLOGY Pub Date : 2024-08-01 DOI: 10.1016/j.jtbi.2024.111912
Deepak K. Pattanaik , Vasudevan Lakshminarayanan , Nachieketa K Sharma , Amir Prasad Sahu
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引用次数: 0
Evolutionary emergence of plant and pollinator polymorphisms in consumer-resource mutualisms 植物和授粉者多态性在消费者-资源互惠关系中的进化出现。
IF 1.9 4区 数学 Q2 BIOLOGY Pub Date : 2024-07-26 DOI: 10.1016/j.jtbi.2024.111911
Thomas Marcou , Tomás A. Revilla , Vlastimil Křivan

Mutualism is considered a major driver of biodiversity, as it enables extensive codiversification in terrestrial communities. An important case is flowering plants and their pollinators, where convergent selection on plant and pollinator traits is combined with divergent selection to minimize niche overlap within each group. In this article, we study the emergence of polymorphisms in communities structured trophically: plants are the primary producers of resources required by the primary consumers, the servicing pollinators. We model natural selection on traits affecting mutualism between plants and pollinators and competition within these two trophic levels. We show that phenotypic diversification is favored by broad plant niches, suggesting that bottom-up trophic control leads to codiversification. Mutualistic generalism, i.e., tolerance to differences in plant and pollinator traits, promotes a cascade of evolutionary branching favored by bottom-up plant competition dependent on similarity and top-down mutualistic services that broaden plant niches. Our results predict a strong positive correlation between the diversity of plant and pollinator phenotypes, which previous work has partially attributed to the trophic dependence of pollinators on plants.

互惠互利被认为是生物多样性的主要驱动力,因为它使陆地生物群落得以广泛编化。一个重要的例子是开花植物及其传粉昆虫,植物和传粉昆虫性状上的趋同选择与发散选择相结合,最大限度地减少了每个群体内部的生态位重叠。在本文中,我们研究了多态性在营养结构群落中的出现:植物是主要消费者(传粉媒介)所需资源的主要生产者。我们模拟了影响植物与传粉昆虫之间相互关系以及这两个营养级内部竞争的性状的自然选择。我们的研究表明,广阔的植物龛位有利于表型的多样化,这表明自下而上的营养控制导致了编码多样化。互惠通性,即对植物和授粉者性状差异的容忍,促进了一连串的进化分支,自下而上的植物竞争依赖于相似性,而自上而下的互惠服务则拓宽了植物的生态位。我们的研究结果预测,植物和传粉昆虫表型的多样性之间存在很强的正相关性,以前的研究部分地将其归因于传粉昆虫对植物的营养依赖性。
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引用次数: 0
Evolution of labor division in reproduction and multiple group tasks 生殖和多重群体任务中劳动分工的演变。
IF 1.9 4区 数学 Q2 BIOLOGY Pub Date : 2024-07-18 DOI: 10.1016/j.jtbi.2024.111910
Atsushi Yamauchi

Labor division is a phenomenon observed across various biological contexts, including examples such as the differentiation between germ/somatic cells in multicellular organisms and the division between reproductive/worker individuals within social animal groups. In such cases, certain members contribute to tasks that enhance the viability of the entire group, even if this requires a reduction in their individual reproductive efforts. Given that group members have the potential to adopt varying contribution levels, a comprehensive analysis of the evolution becomes intricate due to the problem’s high dimensionality. In this paper, I introduce a novel method for analyzing the evolution of the distribution of contribution levels to group viability, with a particular formulation centered on the success of clonal strains. The analysis demonstrates that the curvature of the fecundity function in relation to contributions to the group plays a pivotal role in determining the occurrence of labor division between reproductive and non-reproductive tasks, aligning in part with results from prior research. Furthermore, I extend this analysis to encompass contributions to multiple categories of tasks for group viability. My findings indicate that investments in non-reproductive tasks are selected based on the average contributions for each task, with individual variation playing a less significant role as long as average values remain consistent. Additionally, I explore the impact of group size and relatedness within the group on labor division. The results highlight that increases in group size and relatedness have a positive influence on the evolution of cooperation, although their effects are not directly tied to labor division itself.

劳动分工是在各种生物环境中观察到的一种现象,包括多细胞生物中生殖/有体细胞之间的分化,以及社会动物群体中生殖/劳动个体之间的分工。在这种情况下,某些成员会为提高整个群体生存能力的任务做出贡献,即使这需要减少其个体的生殖努力。鉴于群体成员有可能采取不同的贡献水平,由于问题的高维性,对进化的全面分析变得错综复杂。在本文中,我介绍了一种分析群体生存能力贡献水平分布演化的新方法,并以克隆菌株的成功为中心进行了特别表述。分析表明,与对群体的贡献相关的繁殖力函数的曲率在决定生殖任务和非生殖任务之间分工的发生方面起着关键作用,这与之前的研究结果部分一致。此外,我还将这一分析扩展到了对多类任务的贡献,以提高群体的生存能力。我的研究结果表明,对非生产性任务的投资是根据每项任务的平均贡献来选择的,只要平均值保持一致,个体差异所起的作用就不那么重要。此外,我还探讨了群体规模和群体内部关联性对劳动分工的影响。结果表明,群体规模和关联性的增加对合作的演变有积极影响,尽管它们的影响与劳动分工本身并无直接联系。
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引用次数: 0
Generating synthetic signaling networks for in silico modeling studies 为硅建模研究生成合成信号网络。
IF 1.9 4区 数学 Q2 BIOLOGY Pub Date : 2024-07-14 DOI: 10.1016/j.jtbi.2024.111901
Jin Xu , H. Steven Wiley , Herbert M. Sauro

Predictive models of signaling pathways have proven to be difficult to develop. Traditional approaches to developing mechanistic models rely on collecting experimental data and fitting a single model to that data. This approach works for simple systems but has proven unreliable for complex systems such as biological signaling networks. Thus, there is a need to develop new approaches to create predictive mechanistic models of complex systems. To meet this need, we developed a method for generating artificial signaling networks that were reasonably realistic and thus could be treated as ground truth models. These synthetic models could then be used to generate synthetic data for developing and testing algorithms designed to recover the underlying network topology and associated parameters. We defined the reaction degree and reaction distance to measure the topology of reaction networks, especially to consider enzymes. To determine whether our generated signaling networks displayed meaningful behavior, we compared them with signaling networks from the BioModels Database. This comparison indicated that our generated signaling networks had high topological similarities with BioModels signaling networks with respect to the reaction degree and distance distributions. In addition, our synthetic signaling networks had similar behavioral dynamics with respect to both steady states and oscillations, suggesting that our method generated synthetic signaling networks comparable with BioModels and thus could be useful for building network evaluation tools.

事实证明,信号通路的预测模型很难开发。开发机理模型的传统方法依赖于收集实验数据并将单一模型拟合到数据中。这种方法适用于简单系统,但对于生物信号传导网络等复杂系统来说,已被证明是不可靠的。因此,有必要开发新的方法来创建复杂系统的预测性机理模型。为了满足这一需求,我们开发了一种生成人工信号网络的方法,这种网络具有合理的现实性,因此可被视为地面实况模型。这些合成模型可用于生成合成数据,以开发和测试旨在恢复底层网络拓扑结构和相关参数的算法。我们定义了反应度和反应距离来测量反应网络的拓扑结构,特别是考虑到酶。为了确定我们生成的信号网络是否显示出有意义的行为,我们将其与生物模型数据库中的信号网络进行了比较。比较结果表明,在反应度和距离分布方面,我们生成的信号网络与 BioModels 信号网络具有很高的拓扑相似性。此外,我们合成的信号网络在稳态和振荡方面也具有相似的行为动态,这表明我们的方法生成的合成信号网络与生物模型具有可比性,因此可用于构建网络评估工具。
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引用次数: 0
Modeling the CD8+ T cell immune response to influenza infection in adult and aged mice 模拟成年和老年小鼠 CD8+ T 细胞对流感感染的免疫反应。
IF 1.9 4区 数学 Q2 BIOLOGY Pub Date : 2024-07-10 DOI: 10.1016/j.jtbi.2024.111898

The CD8+ T cell response is the main determinant of viral clearance during influenza infection. However, influenza viral dynamics and the respective immune responses are affected by the host’s age. To investigate age-related differences in the CD8+ T cell immune response dynamics, we propose 16 ordinary differential equation models of existing experimental data. These data consist of viral titer and CD8+ T cell counts collected periodically over a period of 19 days from adult and aged mice infected with influenza A/Puerto Rico/8/34 (H1N1). We use the corrected Akaike Information Criterion to identify the models which best represent the considered data. Our model selection process indicates differences in mechanisms which reduce the CD8+ T cell response: linear downregulation is favored for adult mice, while baseline exponential decay is favored for aged mice. Parameter fitting of the top ranked models suggests that the aged population has reduced CD8+ T cell proliferation compared to the adult population. More experimental work is needed to determine the specific immunological features through which age might cause these differences. A better understanding of the immunological mechanisms by which aging leads to discrepant CD8+ T cell dynamics may inform future treatment strategies.

CD8+ T 细胞反应是流感感染期间病毒清除的主要决定因素。然而,流感病毒的动态和相应的免疫反应受宿主年龄的影响。为了研究 CD8+ T 细胞免疫反应动态中与年龄有关的差异,我们对现有的实验数据提出了一个 16 常微分方程模型。这些数据包括从感染甲型/波多黎各/8/34(H1N1)流感的成年和老年小鼠身上定期收集的病毒滴度和 CD8+ T 细胞计数,为期 19 天。我们使用修正的 Akaike 信息标准来确定最能代表所考虑数据的模型。我们的模型选择过程表明,降低 CD8+ T 细胞反应的机制存在差异:成年小鼠倾向于线性下调,而老年小鼠倾向于基线指数衰减。排名靠前的模型的参数拟合表明,与成年小鼠相比,老年小鼠群体的 CD8+ T 细胞增殖减少。要确定年龄可能导致这些差异的具体免疫学特征,还需要更多的实验工作。更好地了解衰老导致 CD8+ T 细胞动态差异的免疫学机制可为未来的治疗策略提供参考。
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引用次数: 0
Part II: A new perspective for modeling the bone remodeling process: Biology, mechanics, and pathologies 第二部分:骨重塑过程建模的新视角:生物学、力学和病理学。
IF 1.9 4区 数学 Q2 BIOLOGY Pub Date : 2024-07-09 DOI: 10.1016/j.jtbi.2024.111894

In this paper, we explore the effects of biological (pathological) and mechanical damage on bone tissue within a benchmark model. Using the Finite Element Methodology, we analyze and numerically test the model’s components, capabilities, and performance under physiologically and pathologically relevant conditions. Our findings demonstrate the model’s effectiveness in simulating bone remodeling processes and self-repair mechanisms for micro-damage induced by biological internal conditions and mechanical external ones within bone tissue. This article is the second part of a series, where the first part presented the mathematical model and the biological and physical significance of the terms used in a simplified benchmark model. It explored the bone remodeling model’s application, implementation, and results under physiological conditions.

在本文中,我们在一个基准模型中探讨了生物(病理)和机械损伤对骨组织的影响。利用有限元方法,我们对模型的组件、功能以及在生理和病理相关条件下的性能进行了分析和数值测试。我们的研究结果表明,该模型能有效模拟骨重塑过程以及骨组织内部生物条件和外部机械条件引起的微损伤的自我修复机制。本文是系列文章的第二部分,第一部分介绍了数学模型以及简化基准模型中所用术语的生物学和物理学意义。文章探讨了骨重塑模型在生理条件下的应用、实施和结果。
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引用次数: 0
Corrigendum to “A general mathematical framework for understanding the behavior of heterogeneous stem cell regeneration” [J. Theoret. Biol. 492 (2020) 110196] Corrigendum to "A general mathematical framework for understanding the behavior of heterogeneous stem cell regeneration" [J. Theoret.
IF 1.9 4区 数学 Q2 BIOLOGY Pub Date : 2024-07-09 DOI: 10.1016/j.jtbi.2024.111896
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引用次数: 0
The growth rate of senile plaques is determined by the competition between the rate of deposition of free Aβ aggregates into plaques and the autocatalytic production of free Aβ aggregates 老年斑的生长速度取决于游离 Aβ 聚集体沉积到斑块的速度和游离 Aβ 聚集体的自催化生成速度之间的竞争。
IF 1.9 4区 数学 Q2 BIOLOGY Pub Date : 2024-07-09 DOI: 10.1016/j.jtbi.2024.111900

The formation of amyloid beta (Aβ) deposits (senile plaques) is one of the hallmarks of Alzheimer’s disease (AD). This study investigates what processes are primarily responsible for their formation. A model is developed to simulate the diffusion of amyloid beta (Aβ) monomers, the production of free Aβ aggregates through nucleation and autocatalytic processes, and the deposition of these aggregates into senile plaques. The model suggests that efficient degradation of Aβ monomers alone may suffice to prevent the growth of senile plaques, even without degrading Aβ aggregates and existing plaques. This is because the degradation of Aβ monomers interrupts the supply of reactants needed for plaque formation. The impact of Aβ monomer diffusivity is demonstrated to be small, enabling the application of the lumped capacitance approximation and the derivation of approximate analytical solutions for limiting cases with both small and large rates of Aβ aggregate deposition into plaques. It is found that the rate of plaque growth is governed by two competing processes. One is the deposition rate of free Aβ aggregates into senile plaques. If this rate is small, the plaque grows slowly. However, if the rate of deposition of Aβ aggregates into senile plaques is very large, the free Aβ aggregates are removed from the intracellular fluid by deposition into the plaques, leaving insufficient free Aβ aggregates to catalyze the production of new aggregates. This suggests that under certain conditions, Aβ plaques may offer neuroprotection and impede their own growth. Additionally, it indicates that there exists an optimal rate of deposition of free Aβ aggregates into the plaques, at which the plaques attain their maximum size.

淀粉样 beta(Aβ)沉积物(老年斑)的形成是阿尔茨海默病(AD)的标志之一。本研究探讨了形成这些斑块的主要原因。研究建立了一个模型,模拟淀粉样 beta(Aβ)单体的扩散、通过成核和自催化过程产生游离 Aβ 聚集体以及这些聚集体沉积成老年斑的过程。该模型表明,即使不降解 Aβ 聚集体和现有斑块,仅有效降解 Aβ 单体就足以防止老年斑的生长。这是因为 Aβ 单体的降解会中断斑块形成所需的反应物供应。实验证明,Aβ 单体扩散率的影响很小,因此可以应用叠加电容近似法,并推导出 Aβ 聚集体沉积成斑块的速率有大有小的极限情况下的近似分析解。研究发现,斑块的生长速度受两个相互竞争的过程制约。一个是游离 Aβ 聚集体沉积到老年斑的速率。如果沉积率很小,斑块的生长速度就会很慢。但是,如果 Aβ 聚集体沉积到衰老斑块的速度非常快,游离 Aβ 聚集体就会因沉积到斑块中而从细胞内液中清除,从而使游离 Aβ 聚集体不足以催化新聚集体的产生。这表明,在某些条件下,Aβ斑块可能会提供神经保护并阻碍自身生长。此外,它还表明,游离 Aβ 聚集体沉积到斑块中存在一个最佳速率,在此速率下,斑块达到最大尺寸。
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引用次数: 0
Flock2: A model for orientation-based social flocking Flock2:基于方向的社会成群模型
IF 1.9 4区 数学 Q2 BIOLOGY Pub Date : 2024-07-06 DOI: 10.1016/j.jtbi.2024.111880

The aerial flocking of birds, or murmurations, has fascinated observers while presenting many challenges to behavioral study and simulation. We examine how the periphery of murmurations remain well bounded and cohesive. We also investigate agitation waves, which occur when a flock is disturbed, developing a plausible model for how they might emerge spontaneously. To understand these behaviors a new model is presented for orientation-based social flocking. Previous methods model inter-bird dynamics by considering the neighborhood around each bird, and introducing forces for avoidance, alignment, and cohesion as three dimensional vectors that alter acceleration. Our method introduces orientation-based social flocking that treats social influences from neighbors more realistically as a desire to turn, indirectly controlling the heading in an aerodynamic model. While our model can be applied to any flocking social bird we simulate flocks of starlings, Sturnus vulgaris, and demonstrate the possibility of orientation waves in the absence of predators. Our model exhibits spherical and ovoidal flock shapes matching observation. Comparisons of our model to Reynolds’ on energy consumption and frequency analysis demonstrates more realistic motions, significantly less energy use in turning, and a plausible mechanism for emergent orientation waves.

鸟类的空中集群(或称杂音)令观察者着迷,同时也给行为研究和模拟带来了许多挑战。我们研究了杂音的外围如何保持良好的边界和凝聚力。我们还研究了鸟群受到干扰时出现的躁动波,并为它们如何自发出现建立了一个合理的模型。为了理解这些行为,我们提出了一个基于方向的社会成群的新模型。以前的方法是通过考虑每只鸟周围的邻域来建立鸟群间的动态模型,并将规避、排列和凝聚力作为改变加速度的三维矢量引入模型。我们的方法引入了基于方向的社会成群,将来自邻居的社会影响更真实地视为转向的愿望,在空气动力学模型中间接控制航向。虽然我们的模型可以应用于任何成群结队的社会鸟类,但我们模拟了成群结队的椋鸟(Sturnus vulgaris),并证明了在没有捕食者的情况下出现定向波的可能性。我们的模型呈现出与观察结果一致的球形和卵形鸟群形状。我们的模型与雷诺模型在能量消耗和频率分析方面的比较表明,我们的模型运动更逼真,转弯时的能量消耗明显更少,而且出现定向波的机制也更合理。
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引用次数: 0
Optimal vaccination strategies for imperfect vaccines and variable host susceptibility 针对不完善疫苗和不同宿主易感性的最佳疫苗接种策略。
IF 1.9 4区 数学 Q2 BIOLOGY Pub Date : 2024-07-06 DOI: 10.1016/j.jtbi.2024.111899

I present a method to allocate a given number of vaccines to members of a population who differ in their susceptibility to the disease so that the final size of the epidemic is minimised. I consider an arbitrary distribution of protection that the vaccine confers, including the extreme cases of leaky and all-or-none vaccines. The optimal vaccination policy depends on the distribution of protection. While for low values of the basic reproduction number R0 the optimal policy prioritises the most susceptible hosts, I show that for almost any distribution the order of priority reverses and the least susceptible hosts should be vaccinated when R0 is high. The exception where this does not happen is the all-or-none vaccine. However, even a small deviation from the ideal all-or-none distribution can imply that the limited number of vaccines should be given to less susceptible hosts already at realistic values of R0.

我提出了一种方法,将一定数量的疫苗分配给对疾病易感性不同的人群,从而使流行病的最终规模最小。我考虑了疫苗所提供的保护的任意分布,包括泄漏疫苗和全或无疫苗的极端情况。最佳疫苗接种政策取决于保护分布。对于基本繁殖数 R0 的低值,最佳政策是优先给最易感的宿主接种疫苗,但我的研究表明,对于几乎任何分布,R0 都有一个临界值,超过这个临界值,优先顺序就会颠倒,最不易感的宿主就应该接种疫苗。这种情况不会发生的例外情况是 "全或无 "疫苗。然而,即使与理想的 "全有或全无 "分布有微小偏差,也会意味着在 R0 的实际值上,有限数量的疫苗应该接种给易感程度较低的宿主。
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引用次数: 0
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