Paper List
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A Unified Variational Principle for Branching Transport Networks: Wave Impedance, Viscous Flow, and Tissue Metabolism
This paper solves the core problem of predicting the empirically observed branching exponent (α≈2.7) in mammalian arterial trees, which neither Murray...
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Household Bubbling Strategies for Epidemic Control and Social Connectivity
This paper addresses the core challenge of designing household merging (social bubble) strategies that effectively control epidemic risk while maximiz...
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Empowering Chemical Structures with Biological Insights for Scalable Phenotypic Virtual Screening
This paper addresses the core challenge of bridging the gap between scalable chemical structure screening and biologically informative but resource-in...
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A mechanical bifurcation constrains the evolution of cell sheet folding in the family Volvocaceae
This paper addresses the core problem of why there is an evolutionary gap in species with intermediate cell numbers (e.g., 256 cells) in Volvocaceae, ...
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Bayesian Inference in Epidemic Modelling: A Beginner’s Guide Illustrated with the SIR Model
This guide addresses the core challenge of estimating uncertain epidemiological parameters (like transmission and recovery rates) from noisy, real-wor...
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Geometric framework for biological evolution
This paper addresses the fundamental challenge of developing a coordinate-independent, geometric description of evolutionary dynamics that bridges gen...
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A multiscale discrete-to-continuum framework for structured population models
This paper addresses the core challenge of systematically deriving uniformly valid continuum approximations from discrete structured population models...
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Whole slide and microscopy image analysis with QuPath and OMERO
使QuPath能够直接分析存储在OMERO服务器中的图像而无需下载整个数据集，克服了大规模研究的本地存储限制。
可变食性范围模型中向泛化主义的缓慢演化
Department of Mathematical Sciences, University of Bath, Claverton Down, Bath, BA2 7AY, United Kingdom
30秒速读
IN SHORT: 通过证明是种群统计噪声（而非确定性动力学）驱动了模式形成和泛化食性的演化，解决了间接竞争下物种形成的悖论。
核心创新
- Methodology Develops a continuous-space resource-consumer model with explicit resource dynamics and evolvable dietary range, extending beyond fixed-preference Lotka-Volterra frameworks.
- Theory Demonstrates that deterministic analysis predicts homogeneous steady states (no species), but stochastic simulations with demographic noise induce persistent pattern formation interpreted as species.
- Methodology Uses Fourier analysis of linearized dynamics to predict the dominant perturbation modes (e.g., number of species) from the power spectrum, linking analytical predictions to simulation outcomes.
主要结论
- 对于固定食性范围（w=0.2），傅里叶分析预测在 kL/2π=5 处存在主导模式，这对应于在随机模拟中观察到的5个等间距物种的形成（图2，3A）。
- 在可演化食性范围模型中，动力学发生在两个时间尺度上：快速协同演化到准稳态流形，随后缓慢弛豫向均匀态。种群统计噪声阻止了这种弛豫，维持了模式。
- 泛化食性（宽w）在长时间尺度上随机演化，因为与由相同资源生产率支持的、种群规模较小的专化集群相比，它们更不易受到灭绝风险的影响。
摘要: 共享栖息地的物种会协同演化以利用可用资源，因为消费受到消费者与资源之间竞争和负反馈回路的调节。给定物种的食性范围决定了其可获取的资源，从而决定了与之竞争的其他物种。狭窄的食性范围以过度依赖少量资源为代价避免竞争；相反，广泛的食性范围提供了更多替代选择，但也增加了与其他物种竞争的机会。在此，我们研究了生态位形成数学模型中食性范围的演化。我们发现了高度路径依赖的协同演化动力学，其特征是长寿命的准稳态。最终，随机效应驱动了泛化食性的演化，正如我们在分析和模拟中所揭示的。