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How do cells tune emergent properties at the scale of tissues? One class of such emergent behaviors are rigidity transitions, in which a tissue changes from a solid-like to a fluid-like state or vice versa. Here, we introduce a new way for…

Soft Condensed Matter · Physics 2025-06-04 Sadjad Arzash , Indrajit Tah , Andrea J. Liu , M. Lisa Manning

Optical phase estimation is a vital measurement primitive that is used to perform accurate measurements of various physical quantities like length, velocity and displacements. The precision of such measurements can be largely enhanced by…

Experiments show that the movement of eukaryotic cells is regulated by a process of phase separation of two competing enzymes on the cell membrane, that effectively amplifies shallow external gradients of chemical attractant. Notably, the…

Statistical Mechanics · Physics 2008-12-19 Teresa Ferraro , Antonio de Candia , Andrea Gamba , Antonio Coniglio

The task of estimating the gradient of a function in the presence of noise is central to several forms of reinforcement learning, including policy search methods. We present two techniques for reducing gradient estimation errors in the…

Machine Learning · Computer Science 2012-12-12 Gregory Lawrence , Noah Cowan , Stuart Russell

We here adapt an extended version of the adaptive cubic regularisation method with dynamic inexact Hessian information for nonconvex optimisation in [3] to the stochastic optimisation setting. While exact function evaluations are still…

Numerical Analysis · Mathematics 2020-09-15 Stefania Bellavia , Gianmarco Gurioli

We study the gradient method under the assumption that an additively inexact gradient is available for, generally speaking, non-convex problems. The non-convexity of the objective function, as well as the use of an inexactness specified…

Optimization and Control · Mathematics 2022-12-13 Boris T. Polyak , Ilia A. Kuruzov , Fedor S. Stonyakin

Most biological tissues grow by the synthesis of new material close to the tissue's interface, where spatial interactions can exert strong geometric influences on the local rate of growth. These geometric influences may be mechanistic, or…

Numerical Analysis · Mathematics 2020-05-28 Mohd Almie Alias , Pascal R Buenzli

In this study, we introduce a sensitivity analysis methodology for stochastic systems in chemistry, where dynamics are often governed by random processes. Our approach is based on gradient estimation via finite differences, averaging…

Quantitative Methods · Quantitative Biology 2026-01-12 Erika M. Herrera Machado , Jakob L. Andersen , Rolf Fagerberg , Daniel Merkle

Diffusion models have demonstrated empirical successes in various applications and can be adapted to task-specific needs via guidance. This paper studies a form of gradient guidance for adapting a pre-trained diffusion model towards…

Machine Learning · Statistics 2024-10-17 Yingqing Guo , Hui Yuan , Yukang Yang , Minshuo Chen , Mengdi Wang

Collective cell migration in response to a chemical cue occurs in many biological processes such as morphogenesis and cancer metastasis. Clusters of migratory cells in these systems are capable of responding to gradients of less than 1%…

Biological Physics · Physics 2016-08-24 Julien Varennes , Bumsoo Han , Andrew Mugler

This paper presents an analysis of the orientation selectivity properties of idealized models of complex cells in terms of affine quasi quadrature measures, which combine the responses of idealized models of simple cells in terms of affine…

Neurons and Cognition · Quantitative Biology 2025-08-26 Tony Lindeberg

Phase estimation plays a central role in communications, sensing, and information processing. Quantum correlated states, such as squeezed states, enable phase estimation beyond the shot-noise limit, and in principle approach the ultimate…

Quantum Physics · Physics 2024-09-25 M. A. Rodríguez-García , F. E. Becerra

We investigate the boundary between chemotaxis driven by spatial estimation of gradients and chemotaxis driven by temporal estimation. While it is well known that spatial chemotaxis becomes disadvantageous for small organisms at high noise…

Neural and Evolutionary Computing · Computer Science 2024-06-18 Albert Alonso , Julius B. Kirkegaard

Adaptation mechanism of cells on the basis of stochastic gene expression and epigenetic modification is proposed. From marginally stable states generated by epigenetic modification, a gene expression pattern that achieves greater cell…

Molecular Networks · Quantitative Biology 2019-01-18 Yusuke Himeoka , Kunihiko Kaneko

Single-cell organisms and various cell types use a range of motility modes when following a chemical gradient, but it is unclear which mode is best suited for different gradients. Here, we model directional decision-making in chemotactic…

Cell Behavior · Quantitative Biology 2025-05-12 Albert Alonso , Julius B. Kirkegaard , Robert G. Endres

A key problem of eukaryotic cell motility is the signaling mechanism of chemoattractant gradient sensing. Recent experiments have revealed the molecular correlate of gradient sensing: Frontness molecules, such as PI3P and Rac, localize at…

Cell Behavior · Quantitative Biology 2007-05-23 Atul Narang

This study presents a novel algorithm based on graph theory for the precise segmentation and measurement of detonation cells from 3D pressure traces, termed detonation lattices, addressing the limitations of manual and primitive 2D edge…

Computer Vision and Pattern Recognition · Computer Science 2026-03-18 Vansh Sharma , Venkat Raman

This paper presents an algorithmic framework for solving unconstrained stochastic optimization problems using only stochastic function evaluations. We employ central finite-difference based gradient estimation methods to approximate the…

Optimization and Control · Mathematics 2025-01-14 Raghu Bollapragada , Cem Karamanli

This article improves on existing methods to estimate the spectral density of stationary and nonstationary time series assuming a Gaussian process prior. By optimising an appropriate eigendecomposition using a smoothing spline covariance…

Methodology · Statistics 2022-06-01 Nick James , Max Menzies

During development, morphogen gradients precisely determine the position of gene expression boundaries despite the inevitable presence of fluctuations. Recent experiments suggest that some morphogen gradients may be interpreted prior to…

Molecular Networks · Quantitative Biology 2009-11-30 Timothy E Saunders , Martin Howard
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