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Susceptible-Infectious-Susceptible Epidemic Model with Symmetrical Fluctuations: Equilibrium States and Stability Analyses for Finite Systems 具有对称波动的易感-传染-易感流行病模型:有限系统的平衡状态和稳定性分析
IF 1.4 4区 生物学 Q4 MATHEMATICAL & COMPUTATIONAL BIOLOGY Pub Date : 2024-11-13 DOI: 10.1007/s10441-024-09490-0
Paulo S. Adami, Olavo H. Menin, Alexandre S. Martinez

Accurate prediction of epidemic evolution faces challenges such as understanding disease dynamics and inadequate epidemiological data. A recent approach faced these issues by modeling susceptible-infectious-susceptible (SIS) dynamics based on the first two statistical moments. Here, we improve this approach by including finite-size populations and analyzing the stability of the resulting model. Results underscore the influence of uncertainties and population size in the natural history of the epidemic.

准确预测流行病的演变面临着各种挑战,如了解疾病动态和流行病学数据不足。面对这些问题,最近的一种方法是基于前两个统计矩建立易感-传染-易感(SIS)动态模型。在此,我们改进了这一方法,纳入了有限规模的种群,并分析了由此产生的模型的稳定性。结果强调了不确定性和种群规模对流行病自然史的影响。
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引用次数: 0
Correction: The Effects of Triiodothyronine on the Free Thyroxine Set Point Position in the Hypothalamus Pituitary Thyroid Axis 更正:三碘甲状腺原氨酸对下丘脑-垂体-甲状腺轴游离甲状腺素设定点位置的影响。
IF 1.4 4区 生物学 Q4 MATHEMATICAL & COMPUTATIONAL BIOLOGY Pub Date : 2024-09-19 DOI: 10.1007/s10441-024-09488-8
Simon Lucas Goede, Melvin Khee Shing Leow
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引用次数: 0
Improved Mathematical Models of Parkinson's Disease with Hopf Bifurcation and Huntington's Disease with Chaos 帕金森病与霍普夫分岔和亨廷顿病与混沌的改进数学模型。
IF 1.4 4区 生物学 Q4 MATHEMATICAL & COMPUTATIONAL BIOLOGY Pub Date : 2024-09-02 DOI: 10.1007/s10441-024-09485-x
M. A. Elfouly

Using delay differential equations to study mathematical models of Parkinson's disease and Huntington's disease is important to show how important it is for synchronization between basal ganglia loops to work together. We used the delay circuit RLC (resistor, inductor, capacitor) model to show how the direct pathway and the indirect pathway in the basal ganglia excite and inhibit the motor cortex, respectively. A term has been added to the mathematical model without time delay in the case of the hyperdirect pathway. It is proposed to add a non-linear term to adjust the synchronization. We studied Hopf bifurcation conditions for the proposed models. The desynchronization of response times between the direct pathway and the indirect pathway leads to different symptoms of Parkinson's disease. Tremor appears when the response time in the indirect pathway increases at rest. The simulation confirmed that tremor occurs and the motor cortex is in an inhibited state. The direct pathway can increase the time delay in the dopaminergic pathway, which significantly increases the activity of the motor cortex. The hyperdirect pathway regulates the activity of the motor cortex. The simulation showed bradykinesia occurs when we switch from one movement to another that is less exciting for the motor cortex. A decrease of GABA in the striatum or delayed excitation of the substantia nigra from the subthalamus may be a major cause of Parkinson's disease. An increase in the response time delay in one of the pathways results in the chaotic movement characteristic of Huntington's disease.

使用延迟微分方程来研究帕金森病和亨廷顿病的数学模型,对于说明基底节环路之间的同步协同工作是多么重要。我们使用延迟电路 RLC(电阻、电感、电容)模型来说明基底节的直接通路和间接通路是如何分别兴奋和抑制运动皮层的。在超直接通路的数学模型中加入了一个无时间延迟的项。我们建议添加一个非线性项来调整同步。我们研究了拟议模型的霍普夫分岔条件。直接通路和间接通路之间反应时间的不同步会导致帕金森病的不同症状。当间接通路的反应时间在静止状态下增加时,震颤就会出现。模拟证实,震颤发生时,运动皮层处于抑制状态。直接通路可以增加多巴胺能通路的时间延迟,从而显著增加运动皮层的活动。超直接通路可调节运动皮层的活动。模拟显示,当我们从一种运动切换到另一种对运动皮层刺激较小的运动时,就会出现运动迟缓。纹状体中 GABA 的减少或来自丘脑下部的黑质兴奋延迟可能是帕金森病的主要原因。如果其中一条通路的反应时间延迟增加,就会导致亨廷顿氏病特有的混乱运动。
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引用次数: 0
The Effects of Triiodothyronine on the Free Thyroxine Set Point Position in the Hypothalamus Pituitary Thyroid Axis 三碘甲状腺原氨酸对下丘脑-垂体-甲状腺轴游离甲状腺素设定点位置的影响
IF 1.4 4区 生物学 Q4 MATHEMATICAL & COMPUTATIONAL BIOLOGY Pub Date : 2024-08-29 DOI: 10.1007/s10441-024-09486-w
Simon Lucas Goede, Melvin Khee Shing Leow

In clinical endocrinology, it is often assumed that the results of thyroid hormone function tests (TFTs) before total thyroidectomy are considered euthyroid when the circulating concentrations of thyrotropin [TSH] and free thyroxine [FT4] are within the normal reference ranges. Postoperative thyroid replacement therapy with levothyroxine (L-T4) is aimed to reproduce the preoperative euthyroid condition. Currently, intra-individual changes in the euthyroid set point before and after total thyroidectomy are only partly understood. After total thyroidectomy, a greater postoperative [FT4] than preoperative [FT4] for equivalent euthyroid [TSH] was found, with differences ranging from 3 to 8 pmol/L. This unexplained difference can be explained by the use of a mathematical model of the hypothalamus-pituitary-thyroid (HPT) axis set point theory. In this article, the postoperative HPT euthyroid set point was calculated using a dataset of total thyroidectomized patients with at least three distinguishable postoperative TFTs. The postoperative [TSH] set point was used as a homeostatic reference for the comparison of preoperative TFTs. The preoperative [FT4] value was equal to the postoperative [FT4] value in 50% of the patients, divided by a factor of ~ 1.25 (within +/- 10%). The factor of 1.25 stems from the lack of postoperative use of thyroidal triiodothyronine (T3). Furthermore, approximately 25% of the patients presented a greater preoperative [FT4] difference than postoperative [FT4]/1.25 combined with a normal [TSH] difference. Based on these observations, the effect of T3 on the value of the [FT4] set point was analyzed and explained from a control theory perspective.

在临床内分泌学中,通常认为甲状腺全切除术前的甲状腺激素功能检测(TFT)结果,即促甲状腺激素[TSH]和游离甲状腺素[FT4]的循环浓度在正常参考值范围内,即为甲状腺功能正常。术后使用左甲状腺素进行甲状腺替代治疗。左旋甲状腺素的目的是再现术前的甲状腺功能正常状态。目前,人们对甲状腺全切除术前后甲状腺功能正常设定点的个体内部变化仅有部分了解。在甲状腺全切除术后,我们发现在同等甲状腺素[TSH]的情况下,术后[FT4]大于术前[FT4],差异从3到8 pmol/L不等。使用下丘脑-垂体-甲状腺(HPT)轴设定点理论的数学模型可以解释这种无法解释的差异。在本文中,我们利用至少有三次可区分的术后TFT的甲状腺全切除患者数据集计算了术后HPT甲状腺功能正常的设定点。术后[促甲状腺激素]设定点被用作比较术前 TFT 的稳态参考。50%患者的术前[FT4]值等于术后[FT4]值,除以约1.25系数(+/- 10%以内)。系数 1.25 是因为术后没有使用甲状腺三碘甲状腺原氨酸(T3)。此外,约 25% 的患者术前[FT4]差异大于术后[FT4]/1.25,同时[TSH]差异正常。基于这些观察结果,我们从控制理论的角度分析并解释了 T3 对[FT4]设定值的影响。
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引用次数: 0
The Geometry of Normal Tissue and Cancer Gene Expression Manifolds 正常组织和癌症基因表达矩阵的几何图形
IF 1.4 4区 生物学 Q4 MATHEMATICAL & COMPUTATIONAL BIOLOGY Pub Date : 2024-07-09 DOI: 10.1007/s10441-024-09483-z
Joan Nieves, Augusto Gonzalez

A recent paper shows that in gene expression space the manifold spanned by normal tissues and the manifold spanned by the corresponding tumors are disjoint. The statement is based on a two-dimensional projection of gene expression data. In the present paper, we show that, for the multi-dimensional vectors defining the centers of cloud samples: 1. The closest tumor to a given normal tissue is the tumor developed in that tissue, 2. Two normal tissues define quasi-orthogonal directions, 3. A tumor may have a projection onto its corresponding normal tissue, but it is quasi-orthogonal to all other normal tissues, and 4. The cancer manifold is roughly obtained by translating the normal tissue manifold along an orthogonal direction defined by a global cancer progression axis. These geometrical properties add a new characterization of normal tissues and tumors and may have biological significance. Indeed, normal tissues at the vertices of a high-dimensional simplex could indicate genotype optimization for given tissue functions, and a way of avoiding errors in embryonary development. On the other hand, the cancer progression axis could define relevant pan-cancer genes and seems to be consistent with the atavistic theory of tumors.

最近的一篇论文表明,在基因表达空间中,正常组织所跨的流形和相应肿瘤所跨的流形是不相交的。这一论断基于基因表达数据的二维投影。在本文中,我们将证明,对于定义云样本中心的多维向量,它们之间是不相交的:1.距离给定正常组织最近的肿瘤就是在该组织中生长的肿瘤;2. 两个正常组织定义了准正交方向;3. 一个肿瘤可能在其对应的正常组织上有一个投影,但它与所有其他正常组织都是准正交的;4.4. 癌症流形大致是通过将正常组织流形沿由全球癌症进展轴定义的正交方向平移而得到的。这些几何特性为正常组织和肿瘤增添了新的特征,可能具有生物学意义。事实上,位于高维单纯形顶点的正常组织可以表明给定组织功能的基因型优化,也是避免胚胎发育错误的一种方法。另一方面,癌症进展轴可以定义相关的泛癌症基因,并且似乎与肿瘤的遗传理论相一致。
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引用次数: 0
How (not) to Talk to a Plant: An Application of Automata Theory to Plant Communication 如何(不)与植物交谈:自动机理论在植物交流中的应用》。
IF 1.4 4区 生物学 Q4 MATHEMATICAL & COMPUTATIONAL BIOLOGY Pub Date : 2024-06-29 DOI: 10.1007/s10441-024-09484-y
Lorenzo Baravalle

Plants are capable of a range of complex interactions with the environment. Over the last decade, some authors have used this as evidence to argue that plants are cognitive agents. While there is no consensus on this view, it is certainly interesting to approach the debate from a comparative perspective, trying to understand whether different lineages of plants show different degrees of responsiveness to environmental cues, and how their responses compare with those of animals or humans. In this paper, I suggest that a potentially fruitful approach to these comparative studies is provided by automata theory. Accordingly, I shall present a possible application of this theory to plant communication. Two tentative results will emerge. First, that different lineages may exhibit different levels of complexity in response to similar stimuli. Second, that current evidence does not allow to infer great cognitive sophistication in plants.

植物能够与环境进行一系列复杂的互动。过去十年间,一些学者以此为证据,认为植物是认知主体。虽然对这一观点还没有达成共识,但从比较的角度来探讨这一争论无疑是有趣的,因为我们可以尝试了解植物的不同品系是否对环境线索表现出不同程度的反应,以及它们的反应与动物或人类的反应相比有何不同。在本文中,我认为自动机理论为这些比较研究提供了一种可能富有成效的方法。因此,我将介绍这一理论在植物交流中的可能应用。我们将得出两个初步结果。首先,不同品系在对类似刺激做出反应时可能表现出不同程度的复杂性。第二,目前的证据并不能推断植物的认知复杂性有多高。
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引用次数: 0
Paternal Inheritance of Mitochondrial DNA May Lead to Dioecy in Conifers 线粒体 DNA 的父系遗传可能导致针叶树的雌雄异体。
IF 1.4 4区 生物学 Q4 MATHEMATICAL & COMPUTATIONAL BIOLOGY Pub Date : 2024-06-13 DOI: 10.1007/s10441-024-09481-1
Tom J. de Jong, Avi Shmida

In angiosperms cytoplasmic DNA is typically passed on maternally through ovules. Genes in the mtDNA may cause male sterility. When male-sterile (female) cytotypes produce more seeds than cosexuals, they pass on more copies of their mtDNA and will co-occur with cosexuals with a neutral cytotype. Cytoplasmic gynodioecy is a well-known phenomenon in angiosperms, both in wild and crop plants. In some conifer families (e.g. Pinaceae) mitochondria are also maternally inherited. However in some other families (e.g. Taxaceae and Cupressaceae) mtDNA is paternally inherited through the pollen. With paternal mtDNA inheritance, male cytotypes that produce more pollen than cosexuals are expected to co-occur with cosexuals. This is uncharted territory. An ESS model shows that the presence of male cytotypes selects for more female allocation in the cosexual, i.e. for sexual specialisation. An allele that switches sex from male to female can then invade. This leads to rapid loss of the neutral cytotype of the cosexual, fixation of the male cytotype and dioecy with 50% males and 50% females. The models suggest that paternal inheritance of mtDNA facilitates the evolution dioecy. Consistent with this hypothesis the Pinaceae are 100% monoecious, while dioecy is common in the Taxaceae family and in the genus Juniperus (Cupressaceae). However, no reliable data are yet available on both mode of inheritance of mtDNA and gender variation of the same species. When cosexuals benefit from reproductive assurance (high selfing rate, low inbreeding depression, low fertilisation) they maintain themselves next to males and females. This predicted pattern with three sex types present in the same population is observed in conifers in nature.

在被子植物中,细胞质 DNA 通常通过胚珠进行母系遗传。mtDNA 中的基因可能会导致雄性不育。当雄性不育(雌性)细胞型比同性型产生更多种子时,它们就会传递更多的 mtDNA 副本,并与细胞型为中性的同性型共生。在被子植物中,细胞质雌雄同体是一种众所周知的现象,在野生植物和作物中都是如此。在一些针叶树科(如松科)中,线粒体也是母系遗传的。但在其他一些科(如 Taxaceae 和 Cupressaceae)中,mtDNA 是通过花粉进行父系遗传的。在父系 mtDNA 遗传的情况下,产生的花粉比同性花粉多的雄性细胞型预计会与同性花粉共存。这是一个未知领域。ESS模型显示,雄性细胞型的存在会在同性中选择更多的雌性分配,即性特化。然后,将性别从雄性转换为雌性的等位基因就会入侵。这将导致同性中性细胞型的迅速丧失、雄性细胞型的固定以及 50%雄性和 50%雌性的雌雄异体。这些模型表明,mtDNA 的父系遗传促进了雌雄异体的进化。与这一假说相一致的是,松科植物 100%雌雄同株,而雌雄异株则常见于紫杉科和杜松属(濯缨草科)。然而,目前还没有关于同一物种的 mtDNA 遗传方式和性别差异的可靠数据。当同性物种从生殖保证(高自交率、低近交抑郁、低受精率)中获益时,它们会将自己保持在雄性和雌性物种旁边。在自然界的针叶树种群中,可以观察到这种在同一种群中存在三种性别类型的预测模式。
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引用次数: 0
Y-chromosome Degeneration due to Speciation and Founder Effect 物种变异和创始人效应导致的 Y 染色体退化。
IF 1.4 4区 生物学 Q4 MATHEMATICAL & COMPUTATIONAL BIOLOGY Pub Date : 2024-05-31 DOI: 10.1007/s10441-024-09482-0
Nianqin Zhang, Yongjun Zhang

The Y chromosome in the XY sex-determination system is often shorter than its X counterpart, a condition attributed to degeneration after Y recombination ceases. Contrary to the traditional view of continuous, gradual degeneration, our study reveals stabilization within large mating populations. In these populations, we demonstrate that both mutant and active alleles on the Y chromosome can reach equilibrium through a mutation-selection balance. However, the emergence of a new species, particularly through the founder effect, can disrupt this equilibrium. Specifically, if the male founders of a new species carry only a mutant allele for a particular Y-linked gene, this allele becomes fixed, leading to the loss of the corresponding active gene on the Y chromosome. Our findings suggest that the rate of Y-chromosome degeneration may be linked to the frequency of speciation events associated with single-male founder events.

XY 性别决定系统中的 Y 染色体通常比其 X 染色体短,这种情况归因于 Y 染色体重组停止后的退化。与持续、逐渐退化的传统观点相反,我们的研究揭示了大型交配种群中的稳定现象。在这些种群中,我们证明 Y 染色体上的突变等位基因和活性等位基因都能通过突变-选择平衡达到平衡。然而,新物种的出现,特别是通过始祖效应,会打破这种平衡。具体来说,如果一个新物种的雄性创始者只携带一个特定Y连锁基因的突变等位基因,那么这个等位基因就会固定下来,导致Y染色体上相应活性基因的缺失。我们的研究结果表明,Y染色体退化的速度可能与单雄性创始者事件相关的物种演化频率有关。
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引用次数: 0
Teleological Functional Explanations: A New Naturalist Synthesis 目的论功能解释:新自然主义综合论
IF 1.4 4区 生物学 Q4 MATHEMATICAL & COMPUTATIONAL BIOLOGY Pub Date : 2024-05-16 DOI: 10.1007/s10441-024-09480-2
Mihnea Capraru

The etiological account of teleological function is beset by several difficulties, which I propose to solve by grafting onto the etiological theory a subordinated goal-contribution clause. This approach enables us to ascribe neither too many teleofunctions nor too few; to give a unitary, one-clause analysis that works just as well for teleological functions derived from Darwinian evolution, as for those derived from human intention; and finally, to save the etiological theory from falsification, by explaining how, in spite of appearances, the theory can allow for evolutionary function loss.

关于目的论功能的病因学解释存在若干困难,我建议通过在病因学理论中嫁接一个从属的目标-贡献条款来解决这些困难。这种方法使我们既不会归因于过多的目的论功能,也不会归因于过少的目的论功能;给出了一种单一的、单条款的分析,这种分析既适用于从达尔文进化论中衍生出来的目的论功能,也适用于从人类意图中衍生出来的目的论功能;最后,通过解释尽管表面上看,该理论如何能够允许进化功能的丧失,使起源论理论免于被证伪。
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引用次数: 0
Reorienting the Debate on Biological Individuality: Politics and Practices 调整生物个体性辩论的方向:政治与实践
IF 1.4 4区 生物学 Q4 MATHEMATICAL & COMPUTATIONAL BIOLOGY Pub Date : 2024-02-28 DOI: 10.1007/s10441-024-09479-9
Rose Trappes

Biological individuality is without a doubt a key concept in philosophy of biology. Questions around the individuality of organisms, species, and biological systems can be traced throughout the philosophy of biology since the discipline’s inception, not to mention the sustained attention they have received in biology and philosophy more broadly. It’s high time the topic got its own Cambridge Element. McConwell’s Biological Individuality falls short of an authoritative overview of the debate on biological individuality. However, it sends a welcome message to new and seasoned scholars to reorient the debate towards practically and politically relevant themes.

生物个体性无疑是生物学哲学的一个关键概念。自生物学诞生以来,围绕生物体、物种和生物系统的个体性问题就一直贯穿于生物学哲学的始终,更不用说它们在生物学和更广泛的哲学中受到的持续关注了。现在是时候让这个话题拥有自己的《剑桥要素》了。麦康威尔的《生物个体性》没有对生物个体性的争论做出权威性的概述。不过,它向新老学者发出了一个值得欢迎的信息,那就是将辩论重新定位到与实际和政治相关的主题上。
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引用次数: 0
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