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Structural and dynamical fingerprints of evolutionary optimization in biological networks are still unclear. We here analyze the dynamics of genetic regulatory networks responsible for the regulation of cell cycle and cell differentiation…

Molecular Networks · Quantitative Biology 2016-06-22 N. Aral , A. Kabakcioglu

We develop a Bayesian bivariate spatial model for multivariate regression analysis applicable to studies examining the influence of genetic variation on brain structure. Our model is motivated by an imaging genetics study of the Alzheimer's…

Methodology · Statistics 2020-05-26 Yin Song , Shufei Ge , Jiguo Cao , Liangliang Wang , Farouk S. Nathoo

We propose a probabilistic model for interpreting gene expression levels that are observed through single-cell RNA sequencing. In the model, each cell has a low-dimensional latent representation. Additional latent variables account for…

Machine Learning · Computer Science 2017-10-18 Romain Lopez , Jeffrey Regier , Michael Cole , Michael Jordan , Nir Yosef

While covariance matrices have been widely studied in many scientific fields, relatively limited progress has been made on estimating conditional covariances that permits a large covariance matrix to vary with high-dimensional subject-level…

Methodology · Statistics 2025-05-28 Rakheon Kim , Jingfei Zhang

Statistical and mathematical modeling are crucial to describe, interpret, compare and predict the behavior of complex biological systems including the organization of hematopoietic stem and progenitor cells in the bone marrow environment.…

Quantitative Methods · Quantitative Biology 2018-09-07 Walter de Back , Thomas Zerjatke , Ingo Roeder

Biological networks exhibit complex, coordinated patterns of activity. Can these patterns be captured precisely in simple models? Here we use measurements of simultaneous activity in 1000+ neurons in the mouse brain to test the validity of…

Biological Physics · Physics 2023-04-27 Leenoy Meshulam , Jeffrey L. Gauthier , Carlos D. Brody , David W. Tank , William Bialek

In many systems we can describe emergent macroscopic behaviors, quantitatively, using models that are much simpler than the underlying microscopic interactions; we understand the success of this simplification through the renormalization…

Biological Physics · Physics 2019-01-01 Leenoy Meshulam , Jeffrey L. Gauthier , Carlos D. Brody , David W. Tank , William Bialek

In many longitudinal microarray studies, the gene expression levels in a random sample are observed repeatedly over time under two or more conditions. The resulting time courses are generally very short, high-dimensional, and may have…

Applications · Statistics 2013-02-26 Maurice Berk , Cheryl Hemingway , Michael Levin , Giovanni Montana

A general theoretical framework is put forth to organize and understand various observed phenomena and mathematical relationships in the field of molecular biology. By modeling each cell in eukaryotic organisms as a processor having a…

Other Quantitative Biology · Quantitative Biology 2013-12-18 Barry D. Jacobson

Cell lineage decisions occur in three-dimensional spatial patterns that are difficult to identify by eye. There is an ongoing effort to replicate such patterns using mathematical modeling. One approach uses long ranging cell-cell…

Cell Behavior · Quantitative Biology 2022-12-21 Robin Dirk , Jonas L. Fischer , Simon Schardt , Markus J. Ankenbrand , Sabine C. Fischer

Recent findings in neuroscience suggest that the human brain represents information in a geometric structure (for instance, through conceptual spaces). In order to communicate, we flatten the complex representation of entities and their…

Machine Learning · Computer Science 2020-02-05 Agnieszka Słowik , Abhinav Gupta , William L. Hamilton , Mateja Jamnik , Sean B. Holden

The voxelized Allen Atlas of the adult mouse brain (at a resolution of 200 microns) has been used in [arXiv:1303.0013] to estimate the region-specificity of 64 cell types whose transcriptional profile in the mouse brain has been measured in…

Neurons and Cognition · Quantitative Biology 2014-02-19 Pascal Grange , Jason W. Bohland , Benjamin Okaty , Ken Sugino , Hemant Bokil , Sacha Nelson , Lydia Ng , Michael Hawrylycz , Partha P. Mitra

Brain imaging has allowed neuroscientists to analyze brain morphology in genetic and neurodevelopmental disorders, such as Down syndrome, pinpointing regions of interest to unravel the neuroanatomical underpinnings of cognitive impairment…

Computer Vision and Pattern Recognition · Computer Science 2024-09-23 Jordi Malé , Juan Fortea , Mateus Rozalem Aranha , Yann Heuzé , Neus Martínez-Abadías , Xavier Sevillano

A central idea in understanding brains and building artificial intelligence is that structure determines function. Yet, how the brain's complex structure arises from a limited set of genetic instructions remains a key question. The ultra…

Neurons and Cognition · Quantitative Biology 2026-01-28 Xingyu Liu , Yubin Li , Guozhang Chen

To explain the differentiation of stem cells in terms of dynamical systems theory, models of interacting cells with intracellular protein expression dynamics are analyzed and simulated. Simulations were carried out for all possible protein…

Cell Behavior · Quantitative Biology 2015-06-15 Yusuke Goto , Kunihiko Kaneko

Clustering of gene expression time series gives insight into which genes may be coregulated, allowing us to discern the activity of pathways in a given microarray experiment. Of particular interest is how a given group of genes varies with…

Quantitative Methods · Quantitative Biology 2018-02-13 Muhammad Arifur Rahman , Paul R. Heath , Neil D. Lawrence

Complex spatial and temporal patterns of gene expression underlie embryo differentiation, yet methods do not yet exist for the efficient genome-wide determination of spatial expression patterns during development. In situ imaging of…

Genomics · Quantitative Biology 2013-08-15 Peter A. Combs , Michael B. Eisen

Motivation: Gene expression during brain development or abnormal development is a biological process that is highly dynamic in spatio and temporal. Due to the lack of comprehensive integration of spatial and temporal dimensions of brain…

Quantitative Methods · Quantitative Biology 2023-10-19 Shanjun Mao , Xiao Huang , Runjiu Chen , Chenyang Zhang , Yizhu Diao , Zongjin Li , Qingzhe Wang , Shan Tang , Shuixia Guo

Individual expression profiles from EBV transformed cell lines are an emerging resource for genomic investigation. In this study we characterize the effects of age, sex, and genetic variation on gene expression by surveying public datasets…

Genomics · Quantitative Biology 2009-11-03 Manuel A. Rivas , Mark J. Daly , Itsik Pe'er

Different encodings of datapoints in the latent space of latent-vector generative models may result in more or less effective and disentangled characterizations of the different explanatory factors of variation behind the data. Many works…

Machine Learning · Computer Science 2022-07-15 Andrea Asperti , Valerio Tonelli
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