A railroad of cells: Computer simulations explain cell movement

Looking under the microscope, a group of cells slowly moves forward in a line, like a train on the tracks. The cells navigate through complex environments. A new approach by researchers involving the Institute of Science and Technology Austria (ISTA) now shows how they do this and how they interact with each other. The experimental observations and the following mathematical concept are published in Nature Physics.

The majority of the cells in the human body cannot move. Some specific ones, however, can go to different places. For example, in wound healing, cells move through the body to repair damaged tissue. They sometimes travel alone or in different group sizes.

Although the process is increasingly understood, little is known about how cells interact while traveling and how they collectively navigate the complex environments found in the body. An interdisciplinary team of theoretical physicists at the Institute of Science and Technology Austria (ISTA) and experimentalists from the University of Mons in Belgium now has new insights.

Much like social dynamics experiments, where understanding the interactions of a small group of people is easier than analyzing an entire society, the scientists studied the traveling behavior of a small group of cells in well-defined in vitro surroundings, i.e. outside a living organism, in a Petri dish equipped with interior features. Based on their findings, they developed a framework of interaction rules.

Cells travel in trains

David Brückner rushes back to his office to grab his laptop. "I think it's better to show some videos of our experiments," he says and presses play.

The video shows a Petri dish. Microstripes—one-dimensional lanes guiding cell movement—are printed on the substrate beside a zebrafish scale made up of numerous cells. Special wound-healing cells, known as "keratocytes" start to stretch away from the scale, forming branches into the lanes.

"At first, cells stick together through adhesive molecules on their surface—it's like they're holding hands," explains Brückner. Suddenly, the bond breaks off, and the cells assemble into tiny groups, moving forward like trains along tracks.

"The length of the train is always different. Sometimes it's two, sometimes it's ten. It depends on the initial conditions."

Eléonore Vercurysse and Sylvain Gabriele from the University of Mons in Belgium observed this phenomenon while investigating keratocytes and their wound-healing features within different geometrical patterns. To help interpret these puzzling observations, they reached out to theoretical physicists David Brückner and Edouard Hannezo at ISTA.

Cells have steering wheels

"There's a gradient within each cell that determines where the cell is going. It's called 'polarity' and it's like the cell's very own steering wheel," says Brückner. "Cells communicate their polarity to neighboring cells, allowing them to move in concert." But how they do so has remained a big puzzle in the field.

Brückner and Hannezo started brainstorming. The two scientists developed a mathematical model combining a cell's polarity, its interactions, and the geometry of its surroundings. They then transferred the framework into computer simulations, which helped them visualize different scenarios.

The first thing the scientists in Austria looked at was the speed of the cell trains. The simulation revealed that the speed of the trains is independent of their length, whether they consist of two or ten cells.

"Imagine if the first cell did all the work, dragging the others behind it; the overall performance would decrease," says Hannezo. "But that's not the case. Within the trains, all the cells are polarized in the same direction. They are aligned and in sync about their movement and smoothly move forward." In other words, the trains operate like an all-wheel drive rather than just a front-wheel drive.

As a next step, the theoreticians examined the effects of increasing the width of the lanes and the cell clusters in their simulations. Compared to cells moving in a single file, clusters were much slower. The explanation is quite simple: the more cells are clustered together, the more they bump into each other. These collisions cause them to polarize away from each other and move in opposite directions. The cells are not aligned properly, which disrupts the flow of movement and drastically influences the overall speed. This phenomenon was also observed in the Belgian lab (in vitro experiments).