18 papers · ranked by Valyu relevance
Antonio Matas-Gil, Robert G. Endres
Controlling spatial patterns in synthetic biological systems remains challenging due to poor parameter robustness and limited experimental tunability. We introduce two complementary mechanisms—the pattern switch and the pattern dial—to systematically control Turing pattern formation in gene circuits. The switch toggles…
Lewis Grozinger, Ángel Goñi-Moreno
Turing patterns are a key theoretical foundation for understanding organ development and organization. While they have been found to occur in natural systems, implementing new biological systems that form Turing patterns has remained challenging. To address this, Tica et al.1 used synthetic genetic networks to engineer…
Seyoon Kim, Antonio Matas-Gil, Robert G. Endres
Turing patterns are a cornerstone of biological self-organization, yet their emergence typically requires finely tuned parameters occupying narrow regions of high-dimensional space. This poses a fundamental challenge: how can evolving biological systems reliably find and exploit such rare conditions? In this work, we…
Seyoon Kim, Antonio Matas-Gil, Robert G. Endres
Title: Significance Biological patterns like stripes or spots can emerge through a mechanism called Turing pattern formation, but this requires extremely specific parameter settings that are difficult to find by chance. Our study shows that natural gene oscillations-such as circadian rhythms-can help living systems…
Siamak Mirfendereski, Ankur Gupta
Turing patterns are stationary, wave-like structures that emerge from the nonequilibrium assembly of reactive and diffusive components. While they are foundational in biophysics, their classical formulation relies on a single characteristic length scale that balances reaction and diffusion, making them overly…
John J. Tyson
In a 1952 paper, Alan Turing showed that spatially distributed chemical reactions evolving in time by local kinetic rate laws and in space by unbiased molecular diffusion can develop a stable, time-independent, spatial pattern from a spatially homogeneous, steady state solution subjected to small, spatially periodic…
J. Roberto Romero-Arias, Luis Enrique Bergues Cabrales, José Alejandro Heredia Kindelán, Daniel Romero Rosales + 3 more
Understanding the abnormal cancer bioelectricity and its close relationship to growth is a challenge for researchers and oncologists. The objective of this study is to simulate the mechanical-electrical coevolution of solid cancer using an energetic approach, which involves the local and global changes of…
Daniel Muzatko, Bijoy Daga, Tom W. Hiscock
Turing's longstanding reaction-diffusion hypothesis explains how molecular patterns can self-organise de novo in otherwise homogeneous tissues. However, whilst Turing-like activator-inhibitor models can qualitatively recapitulate patterning in silico, they are often highly simplified approximations of the molecular…
Nirmali Das, István Balázs, Bornali Das, Gergely Röst
This study investigates how the interaction between gene expression time delay and domain size governs spatio-temporal pattern formation in a reaction-diffusion system. To investigate these phenomena, we utilize a modified version of the Schnakenberg model called the LI (ligand internalisation) model. In a…
John. TM. Campbell
—We introduce patterned numbers, a digit–divisorbased classification of integers motivated by recreational mathematics. A number is defined to be patterned if at least one of its positive divisors appears as a digit in its base-10 representation. We study the first hundred natural numbers under this definition, analyze…
Pierre Galipot, Julie Zalko, Laetitia Carrive, Romain Garrouste + 2 more
Important in many human artistic cultures, checkerboard patterns are rare in nature like many motifs based on squared geometry. Nevertheless, they are expected to be very detectable by the visual systems due to their periodic geometry and contrasted two-tone coloring, therefore potential specific biological functions…
Priya Chakraborty, Subrata Dey, Ranu Kundu, Malay Banerjee + 1 more
Exploring the emergence of spatio-temporal patterns due to nonlinearities in gene expression is a relatively new development. In this work, we explore the effect of resource constraint on gene regulatory motif from both equilibrium and spatio-temporal standpoint, taking into consideration the degradation class of…
Zhou Yu, Wei Zhao, Chih-Kuan Chen, Ya-Chen Liang + 9 more
Periodic patterning is fundamental to biological organization. In birds, colour stripes and spots on growing embryonic surface and elongating feather filaments provide a unique system to study continuous periodic patterning in expanding domains. Agouti-signaling protein (ASIP) directly reports epigenomic activity…
Authors not listed
The capacity to pattern biomolecules within microfluidic devices expands the scope of microfluidic technologies. In such patterned systems, surface-bound components remained localized, while the microfluidic network supplies reagents and removes waste products. This approach has enabled continuous protein expression…
Kinshuk Sahu, Harris M. Davis, Jia Lu, César A. Villalobos + 3 more
Pattern formation underlies organization and function across biological systems. A major challenge in understanding and controlling these systems lies in making accurate, photorealistic predictions of emergent patterns that reflect both the governing biophysical rules and the fine-scaled visual features observed…
Günther Palm, Monica Paoletti, Junji Ito, Alessandra Stella + 1 more
We propose a quality measure for spatio-temporal spike patterns (STPs) in multiple-neuron recordings. In such recordings, repeating STPs or pattern repetitions (PRs) are often found, with many of these generated by chance. To rule those out, statistical tests have been developed to discriminate the unlikely from the…
Authors not listed
Atomic electrons exist under the central Coulomb potential of the nucleus, a constraint that mandates their wave functions be described by spherical harmonics. While standard quantum mechanics treats these functions as static geometric solutions, the empirical structure of the periodic table (2, 8, 8, 18, 18, ...)…
Dirk Frettlöh, Jan Mazáč
This short note provides two examples of aperiodic frieze patterns of the plane, supported on the rhombic Penrose tiling and the Godrèche--Lançon--Billard tiling. That is, we provide a decoration of their vertices with positive integers which satisfy the diamond rule, in analogy to the usual (in)finite frieze patterns…