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Morphogen profiles play a vital role in biology by specifying position in embryonic development. However, the factors that influence the shape of a morphogen profile remain poorly understood. Since morphogens should provide precise…

Molecular Networks · Quantitative Biology 2009-11-27 Timothy E Saunders , Martin Howard

During development, highly ordered structures emerge as cells collectively coordinate with each other. While recent advances have clarified how individual cells process and respond to external signals, understanding collective cellular…

Biological Physics · Physics 2026-02-05 Ashutosh Tripathi , Jörn Dunkel , Dominic J. Skinner

Gene expression levels are important molecular quantitative traits that link genotypes to molecular functions and fitness. In Drosophila, population-genetic studies in recent years have revealed substantial adaptive evolution at the genomic…

Populations and Evolution · Quantitative Biology 2015-04-06 Armita Nourmohammad , Joachim Rambeau , Torsten Held , Johannes Berg , Michael Lassig

Precise temporal coordination of gene expression is crucial for many developmental processes. One central question in developmental biology is how such coordinated expression patterns are robustly controlled. During embryonic development of…

Molecular Networks · Quantitative Biology 2015-05-14 Akihiko Nakajima , Takako Isshiki , Kunihiko Kaneko , Shuji Ishihara

Gene regulatory network inference uses genome-wide transcriptome measurements in response to genetic, environmental or dynamic perturbations to predict causal regulatory influences between genes. We hypothesized that evolution also acts as…

Genomics · Quantitative Biology 2015-05-20 Anagha Joshi , Yvonne Beck , Tom Michoel

Information theory is gaining popularity as a tool to characterize performance of biological systems. However, information is commonly quantified without reference to whether or how a system could extract and use it; as a result,…

Molecular Networks · Quantitative Biology 2016-11-28 Mikhail Tikhonov , Shawn C. Little , Thomas Gregor

Individual components such as cells, particles, or agents within a larger system often require detailed understanding of their relative position to act accordingly, enabling the system as a whole to function in an organised and efficient…

Statistical Mechanics · Physics 2025-02-28 Jonas Berx , Prashant Singh , Karel Proesmans

The dynamics of cellular pattern formation is crucial for understanding embryonic development and tissue morphogenesis. Recent studies have shown that human dermal fibroblasts cultured on liquid crystal elastomers can exhibit an increase in…

Biological Physics · Physics 2023-08-25 Mengyang Gu , Xinyi Fang , Yimin Luo

A fundamental task in developmental biology is to identify the mechanisms which drive morphogenesis. In many cases, pattern formation is driven by the positional information determined by both the gradient of maternal factors and hard-wired…

Molecular Networks · Quantitative Biology 2007-05-23 L. Diambra , Luciano da Fontoura Costa

In the simplest view of transcriptional regulation, the expression of a gene is turned on or off by changes in the concentration of a transcription factor (TF). We use recent data on noise levels in gene expression to show that it should be…

Molecular Networks · Quantitative Biology 2013-08-01 Gasper Tkacik , Curtis G Callan , William Bialek

What is information, physically, and why does it so reliably emerge in living, cultural, and technological systems? Existing theories quantify uncertainty, cost, or compressibility, but do not identify which physical structures count as…

Neurons and Cognition · Quantitative Biology 2025-12-17 Wouter van der Wijngaart

The process of morphogenesis is an evolution of the shape of an organism together with the differentiation of its parts. This process encompasses numerous biological processes ranging from embryogenesis to regeneration following crisis such…

Other Quantitative Biology · Quantitative Biology 2019-09-23 N. Bessonov , O. Butuzova , A. Minarsky , R. Penner , C. Soule , A. Tosenberger , N. Morozova

Living cells respond to spatial signals. Signal transmission to the cell interior often involves the release of second messengers like $Ca^{2+}$ . They will eventually trigger a physiological response by activating kinases that in turn…

Subcellular Processes · Quantitative Biology 2019-08-07 Vaibhav H. Wasnik , Peter Lipp , Karsten Kruse

From subcellular structures to entire organisms, many natural systems generate complex organisation through self-organisation: local interactions that collectively give rise to global structure without any blueprint of the outcome. Yet a…

Artificial Intelligence · Computer Science 2026-05-18 Milton L. Montero , Elias Najarro , Jakob Schauser , Sebastian Risi

A crucial step in the early development of multicellular organisms involves the establishment of spatial patterns of gene expression which later direct proliferating cells to take on different cell fates. These patterns enable the cells to…

Molecular Networks · Quantitative Biology 2017-02-08 Patrick Hillenbrand , Ulrich Gerland , Gasper Tkacik

Developmental patterning comprises processes that range from purely instructed, where external signals specify cell fates, to fully self-organized, where spatial patterns emerge autonomously through cellular interactions. We propose that…

Biological Physics · Physics 2025-10-29 David B. Brückner , Gašper Tkačik

In this paper, we consider a series of events observed at spaced time intervals and present a method of representation of the series. To explain an idea, by dealing with a set of gene expression data, which could be obtained from…

Computational Complexity · Computer Science 2007-05-23 Gene Kim , MyungHo Kim

The body plan of the fruit fly is determined by the expression of just a handful of genes. We show that the spatial patterns of expression for several of these genes scale precisely with the size of the embryo. Concretely, discrete…

Morphological development into evolutionary patterns under structural instability is ubiquitous in living systems and often of vital importance for engineering structures. Here we propose a data-driven approach to understand and predict…

Pattern Formation and Solitons · Physics 2024-07-23 Yingjie Zhao , Zhiping Xu

During developmental processes such as embryogenesis, how a group of cells fold into specific structures, is a central question in biology that defines how living organisms form. Establishing tissue-level morphology critically relies on how…

Soft Condensed Matter · Physics 2024-07-23 Haiqian Yang , Anh Q. Nguyen , Dapeng Bi , Markus J. Buehler , Ming Guo