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A model of pattern formation in living systems is presented. The pattern is achieved by the sequential interaction of two signaling pathways. The coupling of the pattern to the (thick) epithelial sheet changes is given, when the Gauss…

Tissues and Organs · Quantitative Biology 2009-05-11 Frederick W. Cummings

The mitosis process of an eukaryotic cell can be represented by the structure constants of an evolution algebra. Any isotopism of the latter corresponds to a mutation of genotypes of the former. This paper uses Computational Algebraic…

Rings and Algebras · Mathematics 2019-01-08 Óscar J. Falcón , Raúl M. Falcón , Juan Núñez

Dimensionality reduction, a form of compression, can simplify representations of information to increase efficiency and reveal general patterns. Yet, this simplification also forfeits information, thereby reducing representational capacity.…

Understanding the operation of biological and artificial networks remains a difficult and important challenge. To identify general principles, researchers are increasingly interested in surveying large collections of networks that are…

Machine Learning · Statistics 2022-01-14 Alex H. Williams , Erin Kunz , Simon Kornblith , Scott W. Linderman

A key problem in computational biology is discovering the gene expression changes that regulate cell fate transitions, in which one cell type turns into another. However, each individual cell cannot be tracked longitudinally, and cells at…

Machine Learning · Computer Science 2022-07-12 Yichen Gu , David Blaauw , Joshua Welch

Quian Quiroga et al. [Nature 435, 1102 (2005)] have recently discovered neurons that appear to have the characteristics of grandmother (GM) cells. Here we quantitatively assess the compatibility of their data with the GM-cell hypothesis. We…

Neurons and Cognition · Quantitative Biology 2007-05-23 John Collins , Dezhe Z. Jin

Deep learning has proven to successfully learn variations in tissue and cell morphology. Training of such models typically relies on expensive manual annotations. Here we conjecture that spatially resolved gene expression, e.i., the…

Quantitative Methods · Quantitative Biology 2023-12-11 Axel Andersson , Gabriele Partel , Leslie Solorzano , Carolina Wählby

Genetic variation affecting gene regulation is a central driver of phenotypic differences between individuals and can be used to uncover how biological processes are organized in a cell. Although detecting cis-eQTLs is now routine,…

Development in multi-cellular organisms is marked by a high degree of spatial organization of the cells attaining distinct fates in the embryo. We show that receptor-ligand interaction between cells in close physical proximity adaptively…

Tissues and Organs · Quantitative Biology 2021-06-30 Chandrashekar Kuyyamudi , Shakti N. Menon , Sitabhra Sinha

Bayesian models of cognition hypothesize that human brains make sense of data by representing probability distributions and applying Bayes' rule to find the best explanation for available data. Understanding the neural mechanisms underlying…

Neural and Evolutionary Computing · Computer Science 2021-07-02 Milad Kharratzadeh , Thomas R. Shultz

Most models of biological pattern formation are simulated on continuous domains even though cells are discrete objects that provide internal boundaries to the diffusion of regulatory components. In our previous papers on simulating…

Quantitative Methods · Quantitative Biology 2013-09-26 Jannik Vollmer , Denis Menshykau , Dagmar Iber

The applicability of computational and dynamical systems models to organisms is scrutinized, using examples from developmental biology and cognition. Developmental morphogenesis is dependent on the inherent material properties of developing…

Neurons and Cognition · Quantitative Biology 2023-10-24 Stuart A. Newman

The proposed analysis of the currently available experimental results concerning the neural cell activity in the brain area known as hippocampus suggests a particular mechanism of spatial information and memory processing. Below it is…

Other Quantitative Biology · Quantitative Biology 2007-05-23 Yu. Dabaghian , A. G. Cohn , L. Frank

The different active roles of neurons and astrocytes during neuronal activation are associated with the metabolic processes necessary to supply the energy needed for their respective tasks at rest and during neuronal activation. Metabolism,…

Tissues and Organs · Quantitative Biology 2022-11-07 Gideon Idumah , Erkki Somersalo , Daniela Calvetti

How does the genome encode the form of the organism? What is the nature of this genomic code? Inspired by recent work in machine learning and neuroscience, we propose that the genome encodes a generative model of the organism. In this…

Other Quantitative Biology · Quantitative Biology 2025-01-17 Kevin J. Mitchell , Nick Cheney

Developing models with high interpretability and even deriving formulas to quantify relationships between biological data is an emerging need. We propose here a framework for ab initio derivation of sequence motifs and linear formula using…

Quantitative Methods · Quantitative Biology 2022-08-23 Chengyu Liu , Wei Wang

Neural activity patterns related to behavior occur at many scales in time and space from the atomic and molecular to the whole brain. Here we explore the feasibility of interpreting neurophysiological data in the context of many-body…

Other Quantitative Biology · Quantitative Biology 2009-11-11 Walter J. Freeman , Giuseppe Vitiello

The neutral mutation rate is known to vary widely along human chromosomes, leading to mutational hot and cold regions. We provide evidence that categories of functionally-related genes reside preferentially in mutationally hot or cold…

Genomics · Quantitative Biology 2007-05-23 Jeffrey H. Chuang , Hao Li

The functioning of an organ such as the brain emerges from interactions between its constituent parts. Further, this interaction is not immutable in time but rather unfolds in a succession of patterns, thereby allowing the brain to adapt to…

Neurons and Cognition · Quantitative Biology 2021-06-02 Emmanuelle Tognoli , Daniela Benites , J. A. Scott Kelso

Although neural models have performed impressively well on various tasks such as image recognition and question answering, their reasoning ability has been measured in only few studies. In this work, we focus on spatial reasoning and…

Artificial Intelligence · Computer Science 2021-08-19 Hyunjae Kim , Yookyung Koh , Jinheon Baek , Jaewoo Kang
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