The Role of Source Delocalization in the Development of Morphogen Gradients

TL;DR

This paper presents a theoretical method to analyze how delocalized production of morphogens influences the formation of concentration gradients crucial for embryonic development, revealing significant effects of production localization.

Contribution

It introduces an exact stochastic modeling approach to study the impact of source delocalization on morphogen gradient formation, expanding understanding beyond localized production assumptions.

Findings

Delocalization significantly affects gradient formation mechanisms.

The method provides exact solutions for arbitrary production parameters.

Physical insights into the effects of production distribution are discussed.

Abstract

Successful biological development via spatial regulation of cell differentiation relies on action of multiple signaling molecules that are known as morphogens. It is now well established that signaling molecules create non-uniform concentration profiles, morphogen gradients, that activate different genes, leading to patterning in the developing embryos. The current view of the formation of morphogen gradients is that it is a result of complex reaction-diffusion processes that include the strongly localized production, diffusion and uniform degradation of signaling molecules. However, multiple experimental studies also suggest that the production of morphogen in many cases is delocalized. We develop a theoretical method that allows us to investigate the role of the delocalization in the formation of morphogen gradients. The approach is based on discrete-state stochastic models that can be solved exactly for arbitrary production lengths and production rates of morphogen molecules. Our analysis shows that the delocalization might have a strong effect on mechanisms of the morphogen gradient formation. The physical origin of this effect is discussed.