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The synthetic actin network demands great interest as bio-material due to itssoft and wet nature that mimic many biological scaffolding structures. Thestudy of these structures can contribute to a better understanding of this newmicro/nano technology and the cytoskeleton like structural building blocks.Inside the cell the actin network is regulated by tens of actin-bindingproteins (ABP's), which makes for a highly complex system with several emergentbehavior. In particular Calponin is an ABP that was identified as an actinstabiliser, but its mechanism is poorly understood. Recent experiments using anin vitro model system of cross-linked actin with Calponin and large deformationbulk rheology, found that networks with basic calponin exhibited a delayedonset and were able to withstand a higher maximal strain before softening.  In this work we propose a mathematical model into the framework of nonlinearcontinuum mechanics to explain the observation of Jansen, where we introducethe hypothesis by which the difference between the two networks, with andwithout Calponin, is interpreted as a alterations in the pre-strain developedby the network entanglement and the regulation of the crosslinks adhesionenergy. The mechanics of the F-actin is modelled using the wormlike chain modelfor semi-flexible filaments and the gelation process is described as mesoscaledynamics for the crosslinks. The model has been validated with reportedexperimental results from literature, showing a good agreement between theoryand experiments.

Microstructural model for calponin stabilization of crosslinked actin networks