Hydrogels

Crosslinking effects in swollen hydrogels

Coupling of reaction kinetics, poroelastic effects and nonlinear mechanics

Calcium chloride (CaCl2) is one of the most commonly used cross-linking agents for alginate, as it facilitates simple and rapid gelation through the release of Ca2+ ions. However, cross-linking via CaCl2 is difficult to control due to its high solubility in aqueous solutions. This process changes the topology of the polymeric network, hindering diffusion and influencing swelling behavior. To address these phenomena, a reaction-diffusion model has been developed that accounts for the dependence of diffusion properties on the degree of gelation. Additionally, a chemo-mechanical constitutive model was created to describe how these reaction-diffusion mechanisms interact with shrinking effects, which counteract fluid-induced swelling.

Hajikhani et al, IJAO 2019. Experimental characterization and computational modeling of hydrogel cross-linking for bioprinting applications
Hajikhani et al, JMPS 2021. Chemo-mechanical modelling of swelling and crosslinking reaction kinetics in alginate hydrogels: A novel theory and its numerical implementation

Computational results reveal heterogeneities in the distribution of crosslinks within the hydrogel as a consequence of the standard crosslinking process. The final mechanical and diffusive properties of the hydrogel structures can be quantitatively predicted. Notably, thermodynamic principles demonstrate a two-way coupling between chemistry and mechanics, with the crosslinking reaction rate directly depending on internal mechanical forces.

Optimization of hydrogel response

From experiments through theory to in silico tools

The fabrication of stiffness gradients in gelatin methacryloyl (GelMA) hydrogels opens up a wide range of technical possibilities, from smart structures to tissue engineering applications. However, precisely controlling the stiffness distribution within the hydrogel is challenging. When a specific target profile is desired, protocols are typically developed through trial-and-error experimentation, making the process expensive and time-consuming. To address this, a digital twin of the GelMA extrusion manufacturing process has been developed, enabling the optimization of process variables to achieve a linear stiffness profile in the extruded construct.

Sauty et al, Macromolecules 2021. Enabling Technologies for Obtaining Desired Stiffness Gradients in GelMA Hydrogels Constructs