Journal of Theoretical Biology最新文献

筛选
英文 中文
Conditions for the establishment of creole languages from an evolutionary game theoretic perspective
IF 1.9 4区 数学
Journal of Theoretical Biology Pub Date : 2025-03-12 DOI: 10.1016/j.jtbi.2025.112090
Raiki Nakano, Hisashi Ohtsuki
{"title":"Conditions for the establishment of creole languages from an evolutionary game theoretic perspective","authors":"Raiki Nakano,&nbsp;Hisashi Ohtsuki","doi":"10.1016/j.jtbi.2025.112090","DOIUrl":"10.1016/j.jtbi.2025.112090","url":null,"abstract":"<div><div>Language contact refers to a situation in which speakers of different languages meet and interact. There are three consequences of language contact. The first one is language shift, where one language is replaced by another. The second one is language maintenance, where languages coexist without any language change. The question of how language shift takes place and under what conditions coexistence of languages is possible has drawn wide attention of linguists as well as of theoretical researchers in other disciplines. Most of the previous mathematical studies of language dynamics have shown that there is majority advantage in the competition and that the population eventually becomes dominated by a single language that was spoken by a majority when the competition started. However, it is known that the contact of different languages could lead to the third consequence: the emergence of a new language, such as creole languages. Our study aims to model the spread of creole languages by using evolutionary game theory and determine the factors that drive the spread of creoles in the population. We consider an evolutionary game with individuals who speak either one of two ancestral languages or the creole that resulted from language contact between those two ancestral languages. Due to the formation process of creole, the creole speakers can communicate with speakers of other languages to some, but not full, extent. We assume that their frequencies change according to their payoffs that reflect how well they can communicate with others. Under this basic assumption, we varied (i) the population size and (ii) the difficulty of language change, to see their effects on the spread of the creole. Results show that the creole is more likely to spread if the population size is small enough for random drift to work well and/or if two ancestral languages are linguistically distant. We also find that finiteness of the population can either favor or disfavor the spread of creole depending on detailed conditions. Our results suggest that the contact between two distant languages and random drift drive the spread of creoles. It is known that many creole languages appeared in plantations where European owners brought labor forces from Africa as slaves. Our results match the homestead phase of these plantations, where European languages are distant from African ones, and where the population size was small.</div></div>","PeriodicalId":54763,"journal":{"name":"Journal of Theoretical Biology","volume":"605 ","pages":"Article 112090"},"PeriodicalIF":1.9,"publicationDate":"2025-03-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143631065","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The short comment on the individual response to ionizing radiation
IF 1.9 4区 数学
Journal of Theoretical Biology Pub Date : 2025-03-08 DOI: 10.1016/j.jtbi.2025.112092
Krzysztof Wojciech Fornalski
{"title":"The short comment on the individual response to ionizing radiation","authors":"Krzysztof Wojciech Fornalski","doi":"10.1016/j.jtbi.2025.112092","DOIUrl":"10.1016/j.jtbi.2025.112092","url":null,"abstract":"","PeriodicalId":54763,"journal":{"name":"Journal of Theoretical Biology","volume":"604 ","pages":"Article 112092"},"PeriodicalIF":1.9,"publicationDate":"2025-03-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143594244","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Emergence of food webs with a multi-trophic hierarchical structure driven by nonlinear trait-matching
IF 1.9 4区 数学
Journal of Theoretical Biology Pub Date : 2025-03-07 DOI: 10.1016/j.jtbi.2025.112091
Christophe Laplanche, Benjamin Pey, Robin Aguilée
{"title":"Emergence of food webs with a multi-trophic hierarchical structure driven by nonlinear trait-matching","authors":"Christophe Laplanche,&nbsp;Benjamin Pey,&nbsp;Robin Aguilée","doi":"10.1016/j.jtbi.2025.112091","DOIUrl":"10.1016/j.jtbi.2025.112091","url":null,"abstract":"<div><div>Food webs are a central subject in community ecology, because consumption supports the flow of matter through the system, which is at the base of many of its functions. Identifying the mechanisms that are at the origin of food web structure is useful, e.g., for restoration purposes. We investigated the extent to which trait-matching, which contributes to defining the strength of trophic interactions, can cause the emergence of food webs with a non-trivial, multi-trophic, hierarchical structure. We compared for that purpose the structural properties of food webs simulated by four food web model variants, depending whether trait-matching was linear or nonlinear and whether population dynamics and evolution were accounted for (dynamical model) or not (static model). Nonlinear trait-matching can restrict interactions in phenotypic space so as to obtain localized interactions (i.e., each species interact with a small subset of species), which is a key element for food web formation. In the static case, nonlinear trait-matching allowed for the emergence of food webs, at a relatively low connectance as with random graphs. In the dynamical case, nonlinear trait-matching combined with population dynamics and evolution allowed for the formation of groups of phenotypically close species, resulting in food webs with a multi-trophic, hierarchical structure.</div></div>","PeriodicalId":54763,"journal":{"name":"Journal of Theoretical Biology","volume":"605 ","pages":"Article 112091"},"PeriodicalIF":1.9,"publicationDate":"2025-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143588243","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
An in-depth study of the dynamics of Thornley’s mathematical model in plant biology with a view to an improved model
IF 1.9 4区 数学
Journal of Theoretical Biology Pub Date : 2025-03-05 DOI: 10.1016/j.jtbi.2025.112071
Ati Rostami , Brodie A.J. Lawson , Kevin Burrage
{"title":"An in-depth study of the dynamics of Thornley’s mathematical model in plant biology with a view to an improved model","authors":"Ati Rostami ,&nbsp;Brodie A.J. Lawson ,&nbsp;Kevin Burrage","doi":"10.1016/j.jtbi.2025.112071","DOIUrl":"10.1016/j.jtbi.2025.112071","url":null,"abstract":"<div><div>Plants are essential for life on Earth, serving as a major source of food supply and contributing to the planet’s carbon balance. Mathematical modelling is an important mechanism for predicting and optimising plant growth in agriculture, and Thornley’s mathematical model (Thornley, 1997) is one of the most widely used models describing carbon and nitrogen allocation in plants. However, a formal mathematical analysis of the model’s behaviour has not been performed. Our analysis of the model provides new insights into how and why the model can be inappropriate. By varying the values of some model parameters, we identify non-physical and even quite chaotic behaviour. In response, we modify Thornley’s model by including additional litter terms, resulting in the elimination of these non-physical behaviours.</div></div>","PeriodicalId":54763,"journal":{"name":"Journal of Theoretical Biology","volume":"604 ","pages":"Article 112071"},"PeriodicalIF":1.9,"publicationDate":"2025-03-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143588240","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The effects of trade-off shape and dimensionality on eco-evolutionary dynamics in resource competition
IF 1.9 4区 数学
Journal of Theoretical Biology Pub Date : 2025-03-03 DOI: 10.1016/j.jtbi.2025.112087
Jonas Wickman , Christopher A. Klausmeier
{"title":"The effects of trade-off shape and dimensionality on eco-evolutionary dynamics in resource competition","authors":"Jonas Wickman ,&nbsp;Christopher A. Klausmeier","doi":"10.1016/j.jtbi.2025.112087","DOIUrl":"10.1016/j.jtbi.2025.112087","url":null,"abstract":"<div><div>Organisms invariably experience trade-offs in their capacities for interacting with their environments. In resource competition, this often means that an organism’s ability to acquire one resource can only come at the cost of less ability with others. If the traits governing resource acquisition are under selection and heritable, this will induce eco-evolutionary dynamics along the trade-off. For Lotka–Volterra models derived from MacArthur resource competition models and for explicit resource models with two resources, the shape and dimensionality of trade-offs has seen substantial study. However, how the joint effects of trade-off shapes and the number of resources under competition affect eco-evolutionary outcomes has seen relatively little. For example, is diversification through evolutionary branching more or less likely when the number of resources increases? Here, we will present techniques complementary to existing ones for recasting trade-offs in an implicit form. Combining adaptive dynamics and resource-competition theory, we derive expressions for directional and stabilizing/disruptive selection. We apply our techniques to two models of resource competition and investigate how the number of resources and trade-off shapes affect the stability characteristics of the generalist strategy, and how diverse a community of consumers can be assembled through successive evolutionary branching. We find that even for these simple and highly symmetric models, outcomes are surprisingly complex and idiosyncratic. Taken together, our results deepen our understanding of the eco-evolutionary dynamics of resource competition for multiple resources.</div></div>","PeriodicalId":54763,"journal":{"name":"Journal of Theoretical Biology","volume":"604 ","pages":"Article 112087"},"PeriodicalIF":1.9,"publicationDate":"2025-03-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143568924","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Geometrically balanced model of cell growth
IF 1.9 4区 数学
Journal of Theoretical Biology Pub Date : 2025-03-01 DOI: 10.1016/j.jtbi.2025.112085
Alexei Vazquez , Tomáš Gedeon
{"title":"Geometrically balanced model of cell growth","authors":"Alexei Vazquez ,&nbsp;Tomáš Gedeon","doi":"10.1016/j.jtbi.2025.112085","DOIUrl":"10.1016/j.jtbi.2025.112085","url":null,"abstract":"<div><div>The proteome balance constraint in metabolic flux balance analysis asserts that the proteome is constructed by ribosomes, which themselves contain many proteins. This leads to a fundamental question of optimal allocation of limited proteome among different pools of enzymes, which include ribosomes themselves. However, recent work points to additional constraints imposed by the cell geometry. In this paper we deduce the <em>proteogeometric constraint</em><span><math><mrow><msub><mover><mi>π</mi><mo>¯</mo></mover><mi>A</mi></msub><mo>=</mo><msub><mi>π</mi><mi>A</mi></msub><mo>+</mo><mi>θ</mi><msub><mi>π</mi><mi>L</mi></msub><mo>/</mo><msub><mi>π</mi><mi>P</mi></msub></mrow></math></span>, where <span><math><msub><mi>π</mi><mi>A</mi></msub></math></span>, <span><math><msub><mi>π</mi><mi>P</mi></msub></math></span> and <span><math><msub><mi>π</mi><mi>L</mi></msub></math></span> are the proteomic fractions allocated to the cell surface area, protein synthesis and cell membrane phospholipids synthesis and <span><math><msub><mover><mi>π</mi><mo>¯</mo></mover><mi>A</mi></msub></math></span> and <span><math><mi>θ</mi></math></span> are constants imposed by geometry of the cell. We illustrate the relevance of this constraint using a reduced model of cell metabolism, illuminating the interplay between cell metabolism and cell geometry.</div></div>","PeriodicalId":54763,"journal":{"name":"Journal of Theoretical Biology","volume":"604 ","pages":"Article 112085"},"PeriodicalIF":1.9,"publicationDate":"2025-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143544481","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Incorporating adult age into mosquito population models: Implications for predicting abundances in changing climates
IF 1.9 4区 数学
Journal of Theoretical Biology Pub Date : 2025-03-01 DOI: 10.1016/j.jtbi.2025.112084
Renato Andrade , Steven M. White , Christina A. Cobbold
{"title":"Incorporating adult age into mosquito population models: Implications for predicting abundances in changing climates","authors":"Renato Andrade ,&nbsp;Steven M. White ,&nbsp;Christina A. Cobbold","doi":"10.1016/j.jtbi.2025.112084","DOIUrl":"10.1016/j.jtbi.2025.112084","url":null,"abstract":"<div><div>Mosquito-borne diseases (MBDs) pose increasing threats under future climate change scenarios and an understanding of mosquito population dynamics is pivotal to predicting future risk of MBDs. Most models that describe mosquito population dynamics often assume that adult life-history is independent of adult age and yet mosquito senescence is known to affect mosquito mortality, fecundity and other key biological traits. Despite this, little is known about the effects of adult age at the level of the mosquito population, especially under varying temperature scenarios. We develop a stage-structured delayed differential equations (DDEs) model incorporating the effects of the abiotic environment and adult age to shed light on the complex interactions between age, temperature, and mosquito population dynamics. Taking <em>Culex pipiens</em>, a major vector of West Nile Virus, as our study species our results show that failing to consider mosquito senescence can lead to underestimates of future mosquito abundances predicted under climate change scenarios. We also find that the age-dependent mechanisms combined with the effects of density-dependent mortality on the immature stages can result in mosquito abundances decreasing at extreme temperatures. With our work, we underscore the need for more studies to consider the effects of mosquito age. Not accounting for senescence can compromise the accuracy of abundance estimates and has implications for predicting the risk of future MBD outbreaks.</div></div>","PeriodicalId":54763,"journal":{"name":"Journal of Theoretical Biology","volume":"604 ","pages":"Article 112084"},"PeriodicalIF":1.9,"publicationDate":"2025-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143544483","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Kir4.1 channel and voltage-gated calcium channel of astrocyte account for the transition dynamics of seizures
IF 1.9 4区 数学
Journal of Theoretical Biology Pub Date : 2025-02-28 DOI: 10.1016/j.jtbi.2025.112082
Yu Rui , Shu Liu , Suyu Liu
{"title":"Kir4.1 channel and voltage-gated calcium channel of astrocyte account for the transition dynamics of seizures","authors":"Yu Rui ,&nbsp;Shu Liu ,&nbsp;Suyu Liu","doi":"10.1016/j.jtbi.2025.112082","DOIUrl":"10.1016/j.jtbi.2025.112082","url":null,"abstract":"<div><div>Astrocytes have an important role in the indirect regulation of neuronal excitability. The abnormalities of their ion channels cause neurons to discharge abnormally, which may induce seizures. The inwardly rectifying potassium channel 4.1 (Kir4.1 channel) and the voltage-gated calcium channel (VGCC) of an astrocyte play important roles in maintaining the homeostasis of these potassium and calcium ions, and have been found to be associated with seizures. However, the underlying mechanisms by which they induce seizures remain unclear. This paper established a neuron-astrocyte network model, which is a model consisting of a neuron and an astrocyte, to explore some mechanisms of epileptic seizures. Through a series of simulations based on this model, the results showed that low conductance of Kir4.1 channel can induce spontaneous periodic epileptic activity (SPEA) whereas higher conductance results in spontaneous periodic bursting event (SPBE) and high-frequency tonic discharges (HFTD). The abnormalities of VGCC also lead to the generation of SPEA and SPBE. As the changes of potassium concentration in the largest nearby reservoir which is analogous to a bath solution that contains a specific concentration of potassium, SPEA can undergo a process from appearance to disappearance. Thus, the research findings showed that the transitions of seizure-like discharges provide further theoretical analyses to clarify the complex mechanism of seizures.</div></div>","PeriodicalId":54763,"journal":{"name":"Journal of Theoretical Biology","volume":"604 ","pages":"Article 112082"},"PeriodicalIF":1.9,"publicationDate":"2025-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143538054","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Understanding the regulation of chronic wounds by tissue inhibitors of matrix metalloproteinases through mathematical modelling
IF 1.9 4区 数学
Journal of Theoretical Biology Pub Date : 2025-02-26 DOI: 10.1016/j.jtbi.2025.112083
Sonia Dari, Reuben D. O’dea, Nabil T. Fadai
{"title":"Understanding the regulation of chronic wounds by tissue inhibitors of matrix metalloproteinases through mathematical modelling","authors":"Sonia Dari,&nbsp;Reuben D. O’dea,&nbsp;Nabil T. Fadai","doi":"10.1016/j.jtbi.2025.112083","DOIUrl":"10.1016/j.jtbi.2025.112083","url":null,"abstract":"<div><div>Understanding the biochemistry and pharmacodynamics of chronic wounds is of key importance, due to the millions of people in the UK affected and the significant cost to the NHS. Chronic wounds are characterised by elevated concentrations of matrix metalloproteinases (MMPs) that destroy the surrounding extracellular matrix (ECM). However, fibroblasts can produce tissue inhibitors of MMPs (TIMPs) in order to regulate wound healing. Therefore, the role of TIMPs in both acute and chronic wounds needs to be properly understood in order to develop therapeutic treatments. In this work, we propose a reaction-diffusion system of four partial differential equations that describe the interaction of the ECM, fibroblasts, MMPs, and TIMPs in a wound. We observe that, subject to parameter sets corresponding to both acute and chronic wound healing, this mathematical model gives rise to travelling wave solutions. Using bifurcation analysis, we demonstrate that excessive degradation of the ECM results in the emergence of chronic wounds, and the reversal of these chronic wounds is prohibited for lower TIMP production values. These results are replicated within a simplified model obtained via a parameter sensitivity analysis. This model is further extended to more realistic spatial domains where we demonstrate the effectiveness of a therapeutic hydrogel containing TIMPs as a treatment for chronic wounds.</div></div>","PeriodicalId":54763,"journal":{"name":"Journal of Theoretical Biology","volume":"604 ","pages":"Article 112083"},"PeriodicalIF":1.9,"publicationDate":"2025-02-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143532215","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Co-evolution of pathogen–host interactions with vertical transmission can produce bistable outcomes
IF 1.9 4区 数学
Journal of Theoretical Biology Pub Date : 2025-02-24 DOI: 10.1016/j.jtbi.2025.112073
Samantha Brotman, Geoff Wild
{"title":"Co-evolution of pathogen–host interactions with vertical transmission can produce bistable outcomes","authors":"Samantha Brotman,&nbsp;Geoff Wild","doi":"10.1016/j.jtbi.2025.112073","DOIUrl":"10.1016/j.jtbi.2025.112073","url":null,"abstract":"<div><div>Vertical transmission is widely predicted to select for reduced virulence of pathogens. Recent theory cast doubt on this prediction by showing that the evolutionary response of the host to vertical transmission can lead to severe disease outcomes. That theory, however, takes a simplified view of host population dynamics by assuming pathogen-induced mortality alone inhibits host population growth. The assumption limits our ability to uncover benign co-evolutionary outcomes characterized by low levels of pathogen-induced mortality. Here, we revisit the role of vertical transmission using a model that assumes host population growth is self-regulated. Our model tracks the co-evolution of pathogen-induced mortality and host recovery until both have reached an evolutionarily stable level. For any given set of model conditions, we could identify as many as two distinct pairs of stable mortality-recovery traits. Mortality and recovery were higher for one of the pairs (the ‘escalated’ one) and lower for the other of the pairs (the ‘de-escalated’ one). As the rate of vertical transmission rose, stable expression of the pathogen-induced mortality trait always decreased, while stable expression of the host-recovery trait increased for ‘escalated’ pairs and decreased for ‘de-escalated’ ones. In addition, (i) increasing the intrinsic rate of host population growth, (ii) increasing the cost of host recovery, and (iii) decreasing the efficiency of horizontal disease transmission all led to lower levels of stable trait expression for both pathogen and host. Factors (i)-(iii) also led to lower virulence, more frequent occurrence of the de-escalated (almost commensal) stable outcome, and greater disease prevalence. We conclude that (i)-(iii) promote the co-evolution of more benign interactions in keeping with previous findings. However, our new insight is that the benign nature of the host-pathogen interaction can now be understood as the more frequent occurrence of the de-escalated outcome. We discuss our findings in light of previous theory and experimental work.</div></div>","PeriodicalId":54763,"journal":{"name":"Journal of Theoretical Biology","volume":"604 ","pages":"Article 112073"},"PeriodicalIF":1.9,"publicationDate":"2025-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143509841","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信