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Modeling Protein Diffusion Across ER-Nuclear Envelope Junctions Reveals Efficient Transport via Simple Diffusion

Sara Merino-Aceituno, Carmela Moschella, Shotaro Otsuka, Christian Schmeiser, Julia Scholz

TL;DR

The paper investigates how luminal proteins diffuse from the ER to the NE across rare, narrow ER–NE junctions. By combining a geometrically informed 1D diffusion model with FRAP measurements in live cells and high-resolution junction geometries from electron tomography, it shows that passive diffusion can account for rapid ER-to-NE transport even through limited connectivity, with an explicit rate constant $\kappa=\dfrac{kD A^*}{V_{NE}L}$ governing NE recovery. The study demonstrates order-of-magnitude agreement between theory and experiment for reporters of different sizes, supporting a diffusion-dominated mechanism and providing a quantitative framework for ER–nucleus communication. This work offers mechanistic insight into organelle connectivity and establishes a foundation for exploring how ER–NE transport is modulated under physiological or pathological conditions, potentially guiding future high-resolution investigations of diffusion through constricted junctions.

Abstract

The endoplasmic reticulum (ER) is the largest continuous membrane-bound organelle in the cell and plays a central role in the synthesis and turnover of many lipids and proteins. It connects directly to the nucleus through specialized contact points known as ER-nuclear envelope (NE) junctions. In our recent study, we found that these ER-NE junctions are both narrow and infrequent, measuring less than 20 nanometers in diameter and occurring at a frequency of approximately 0.1 per square micrometer. However, it remains unclear whether such limited and narrow connections are sufficient to support efficient transport between the ER and NE. Here, we built a mathematical model of ER-to-NE protein diffusion, incorporating ultrastructural parameters, the frequency of ER-NE junctions, and the diffusion coefficient of proteins within the ER lumen. To validate the model, we experimentally quantified the transport rate of ER luminal proteins to the NE using fluorescence recovery after photobleaching (FRAP). Our model and experimental data demonstrate that simple diffusion is sufficient to account for the rapid transport of proteins from the ER to the NE, despite the limited and narrow nature of the connecting junctions. Together, these findings offer mechanistic insight into how ER-NE connectivity enables rapid protein transport and lay the groundwork for future studies on ER-nucleus communication.

Modeling Protein Diffusion Across ER-Nuclear Envelope Junctions Reveals Efficient Transport via Simple Diffusion

TL;DR

The paper investigates how luminal proteins diffuse from the ER to the NE across rare, narrow ER–NE junctions. By combining a geometrically informed 1D diffusion model with FRAP measurements in live cells and high-resolution junction geometries from electron tomography, it shows that passive diffusion can account for rapid ER-to-NE transport even through limited connectivity, with an explicit rate constant governing NE recovery. The study demonstrates order-of-magnitude agreement between theory and experiment for reporters of different sizes, supporting a diffusion-dominated mechanism and providing a quantitative framework for ER–nucleus communication. This work offers mechanistic insight into organelle connectivity and establishes a foundation for exploring how ER–NE transport is modulated under physiological or pathological conditions, potentially guiding future high-resolution investigations of diffusion through constricted junctions.

Abstract

The endoplasmic reticulum (ER) is the largest continuous membrane-bound organelle in the cell and plays a central role in the synthesis and turnover of many lipids and proteins. It connects directly to the nucleus through specialized contact points known as ER-nuclear envelope (NE) junctions. In our recent study, we found that these ER-NE junctions are both narrow and infrequent, measuring less than 20 nanometers in diameter and occurring at a frequency of approximately 0.1 per square micrometer. However, it remains unclear whether such limited and narrow connections are sufficient to support efficient transport between the ER and NE. Here, we built a mathematical model of ER-to-NE protein diffusion, incorporating ultrastructural parameters, the frequency of ER-NE junctions, and the diffusion coefficient of proteins within the ER lumen. To validate the model, we experimentally quantified the transport rate of ER luminal proteins to the NE using fluorescence recovery after photobleaching (FRAP). Our model and experimental data demonstrate that simple diffusion is sufficient to account for the rapid transport of proteins from the ER to the NE, despite the limited and narrow nature of the connecting junctions. Together, these findings offer mechanistic insight into how ER-NE connectivity enables rapid protein transport and lay the groundwork for future studies on ER-nucleus communication.

Paper Structure

This paper contains 14 sections, 22 equations, 3 figures, 1 table.

Figures (3)

  • Figure 1: Quantifying ER-to-NE transport of luminal proteins.(A) Illustration of two reporters used to measure intraluminal protein transport between the ER and NE. (B) Representative images of HeLa cells expressing the transport reporters: moxGFP-KDEL (top) and NusA-moxGFPx2-KDEL (bottom). Diffusion within the ER was monitored by photobleaching a small region (indicated by the green line) and tracking fluorescence recovery over time. (C) Fluorescence intensity in the bleached area was quantified for moxGFP-KDEL (top) and NusA-moxGFPx2-KDEL (bottom). Experimental data (black triangles) and simulated diffusion curves (gray lines) for the cells shown in (B) are shown. (D) Photobleaching in fixed cells to assess the degree of fluorescence loss across the entire NE, serving as a control for ER-to-NE transport measurements. The left panels show a HeLa cell expressing moxGFP-KDEL before (top) and after (bottom) photobleaching the entire NE. Orthogonal views of the indicated positions (white dashed lines) are shown on the right. (E) ER-to-NE diffusion of two reporters was monitored following photobleaching of the entire NE, indicated by green dotted lines. (F) Fluorescence intensity at the NE was quantified. Black and gray lines represent the mean and standard deviation (s.d.) of measurements from 40 cells across 4 independent experiments for moxGFP-KDEL (top) and 71 cells across 4 independent experiments for NusA-moxGFPx2-KDEL (bottom). Scale bars: 10 $\mu$m.
  • Figure 2: The differential equation model with a geometric constraint predicted ER-to-NE flux that closely matches the experimental data.(A) Schematic illustration of the parameters used in the mathematical model. (B) Membrane profiles of the ER-NE junction from a previous study bragulat2024endoplasmic. Although two types of junctions were identified in that study (those with a visible lumen and those without), only lumen- containing junctions were included in the model, as the non-luminal junctions are unlikely to support luminal ER-to-NE transport. The averaged shape of the junction neck, highlighted by a bold rectangle in the left panel, is shown in the right panel. (C,D) Simulated ER-to-NE diffusion at different junction length (C) and membrane angles (D) (green dotted lines) compared with experimental data from Figure 1E,F (black solid line) for moxGFP-KDEL. (E,F) Simulated ER-to-NE diffusion at different junction length (E) and membrane angles (F) (green dotted lines) compared with experimental data from Figure 1E,F (black solid line) for NusA-moxGFPx2-KDEL.
  • Figure 3: Cross-sectional slice of a junction