Spatial biology of Ising-like synthetic genetic networks

Author:

Simpson Kevin,L’Homme Alfredo,Keymer Juan,Federici FernánORCID

Abstract

Abstract Background Understanding how spatial patterns of gene expression emerge from the interaction of individual gene networks is a fundamental challenge in biology. Developing a synthetic experimental system with a common theoretical framework that captures the emergence of short- and long-range spatial correlations (and anti-correlations) from interacting gene networks could serve to uncover generic scaling properties of these ubiquitous phenomena. Results Here, we combine synthetic biology, statistical mechanics models, and computational simulations to study the spatial behavior of synthetic gene networks (SGNs) in Escherichia coli quasi-2D colonies growing on hard agar surfaces. Guided by the combined mechanisms of the contact process lattice simulation and two-dimensional Ising model (CPIM), we describe the spatial behavior of bi-stable and chemically coupled SGNs that self-organize into patterns of long-range correlations with power-law scaling or short-range anti-correlations. These patterns, resembling ferromagnetic and anti-ferromagnetic configurations of the Ising model near critical points, maintain their scaling properties upon changes in growth rate and cell shape. Conclusions Our findings shed light on the spatial biology of coupled and bistable gene networks in growing cell populations. This emergent spatial behavior could provide insights into the study and engineering of self-organizing gene patterns in eukaryotic tissues and bacterial consortia.

Funder

Instituto Nacional de Ciência e Tecnologia em Nanomateriais de Carbono

Núcleo Milenio Información y Coordinación en Redes, ICR

ANID Fondecyt Regular

ANID – Millennium Science Initiative Program

Pontificia Universidad Católica de Chile

Publisher

Springer Science and Business Media LLC

Subject

Cell Biology,Developmental Biology,Plant Science,General Agricultural and Biological Sciences,General Biochemistry, Genetics and Molecular Biology,Physiology,Ecology, Evolution, Behavior and Systematics,Structural Biology,Biotechnology

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