Collagen Fiber Network Infiltration: Permeability and Capillary Infiltration

Effective Force Generation During Mammalian Cell Migration Under Different Molecular and Physical Mechanisms

We have developed much understanding of actin-driven cell migration and the forces that propel cell motility. However, fewer studies focused on estimating the effective forces generated by migrating cells. Since cells in vivo are exposed to complex physical environments with various barriers, understanding the forces generated by cells will provide insights into how cells manage to navigate challenging environments. In this work, we use theoretical models to discuss actin-driven and water-driven cell migration and the effect of cell shapes on force generation. The results show that the effective force generated by actin-driven cell migration is proportional to the rate of actin polymerization and the strength of focal adhesion; the energy source comes from the actin polymerization against the actin network pressure. The effective force generated by water-driven cell migration is proportional to the rate of active solute flux and the coefficient of external hydraulic resistance; the energy sources come from active solute pumping against the solute concentration gradient. The model further predicts that the actin network distribution is mechanosensitive and the presence of globular actin helps to establish a biphasic cell velocity in the strength of focal adhesion. The cell velocity and effective force generation also depend on the cell shape through the intracellular actin flow field.

On the energy efficiency of cell migration in diverse physical environments

Cell migration requires energy, but the metabolic cost of migration has not been quantitatively explored in detail. Here, we use a 2-phase model of the cell cytoplasm to compute cell velocities and energy efficiencies during cell movement. This model predicts that actin polymerization-driven migration is very inefficient in high-hydraulic-resistance environments. Instead, cells can adopt the water-driven mechanism. Therefore, the energetics and mechanical efficiencies of cell movement are predicted to depend on the physical environment.

In this work, we explore fundamental energy requirements during mammalian cell movement. Starting with the conservation of mass and momentum for the cell cytosol and the actin-network phase, we develop useful identities that compute dissipated energies during extensions of the cell boundary. We analyze 2 complementary mechanisms of cell movement: actin-driven and water-driven. The former mechanism occurs on 2-dimensional cell-culture substrate without appreciable external hydraulic resistance, while the latter mechanism is prominent in confined channels where external hydraulic resistance is high. By considering various forms of energy input and dissipation, we find that the water-driven cell-migration mechanism is inefficient and requires more energy. However, in environments with sufficiently high hydraulic resistance, the efficiency of actin-polymerization-driven cell migration decreases considerably, and the water-based mechanism becomes more efficient. Hence, the most efficient way for cells to move depends on the physical environment. This work can be extended to higher dimensions and has implication for understanding energetics of morphogenesis in early embryonic development and cancer-cell metastasis and provides a physical basis for understanding changing metabolic requirements for cell movement in different conditions.

Transition from Actin-Driven to Water-Driven Cell Migration Depends on External Hydraulic Resistance

Cells in vivo can reside in diverse physical and biochemical environments. For example, epithelial cells typically live in a two-dimensional (2D) environment, whereas metastatic cancer cells can move through dense three-dimensional matrices. These distinct environments impose different kinds of mechanical forces on cells and thus potentially can influence the mechanism of cell migration. For example, cell movement on 2D flat surfaces is mostly driven by forces from focal adhesion and actin polymerization, whereas in confined geometries, it can be driven by water permeation. In this work, we utilize a two-phase model of the cellular cytoplasm in which the mechanics of the cytosol and the F-actin network are treated on an equal footing. Using conservation laws and simple force balance considerations, we are able to describe the contributions of water flux, actin polymerization and flow, and focal adhesions to cell migration both on 2D surfaces and in confined spaces. The theory shows how cell migration can seamlessly transition from a focal adhesion- and actin-based mechanism on 2D surfaces to a water-based mechanism in confined geometries.

Investigation of the intrinsic permeability of ice-templated collagen scaffolds as a function of their structural and mechanical properties

Collagen scaffolds are widely used in a range of tissue engineering applications, both in vitro and in vivo, where their permeability to fluid flow greatly affects their mechanical and biological functionality. This paper reports new insights into the interrelationships between permeability, scaffold structure, fluid pressure and deformation in collagen scaffolds, focussing in particular on the degree of closure and the alignment of the pores. Isotropic and aligned scaffolds of different occlusivity were produced by ice templating, and were characterised in terms of their structure and mechanical properties. Permeability studies were conducted using two experimental set-ups to cover a wide range of applied fluid pressures. The permeability was found to be constant at low pressures for a given scaffold with more open structures and aligned structures being more permeable. The deformation of scaffolds under high pressure led to a decrease in permeability. The aligned structures were more responsive to deformation than their isotropic equivalents with their permeability falling more quickly at low strain. For isotropic samples, a broad (1 - ɛ)² dependence for permeability was observed with the constant of proportionality varying with collagen fraction as the starting structures became more occluded. Aligned scaffolds did not follow the same behaviour, with the pores apparently closing more quickly in response to early deformation. These results highlight the importance of scaffold structure in determining permeability to interstitial fluid, and provide an understanding of scaffold behaviour within the complex mechanical environment of the body. STATEMENT OF SIGNIFICANCE: Collagen scaffolds are widely used in tissue engineering applications, for instance to contribute with wound healing. Their permeability to fluid flow, such as water and blood, is important to ensure they perform efficiently when inside the body. The present study reports new insights into the relationships between permeability, scaffold structure, fluid pressure and deformation in collagen scaffolds. It presents in particular the experimental setups used to measure these properties and the result of comparisons between collagen scaffolds with different structures: aligned and isotropic (non-aligned). It indicates quantitative differences in terms of permeability, and the effects of compression on such permeability. The results contribute to the development and understanding of collagen scaffolds and their applications.

On the mechanical interplay between intra- and inter-synchronization during collective cell migration: a numerical investigation

Collective cell migration is a fundamental process that takes place during several biological phenomena such as embryogenesis, immunity response, and tumorogenesis, but the mechanisms that regulate it are still unclear. Similarly to collective animal behavior, cells receive feedbacks in space and time, which control the direction of the migration and the synergy between the cells of the population, respectively. While in single cell migration intra-synchronization (i.e. the synchronization between the protrusion-contraction movement of the cell and the adhesion forces exerted by the cell to move forward) is a sufficient condition for an efficient migration, in collective cell migration the cells must communicate and coordinate their movement between each other in order to be as efficient as possible (i.e. inter-synchronization). Here, we propose a 2D mechanical model of a cell population, which is described as a continuum with embedded discrete cells with or without motility phenotype. The decomposition of the deformation gradient is employed to reproduce the cyclic active strains of each single cell (i.e. protrusion and contraction). We explore different modes of collective migration to investigate the mechanical interplay between intra- and inter-synchronization. The main objective of the paper is to evaluate the efficiency of the cell population in terms of covered distance and how the stress distribution inside the cohort and the single cells may in turn provide insights regarding such efficiency.