ArticleApplied mathematical modelling2026
State-space formulations to understand the nonlinear viscoelastic mechanical behavior of tricuspid valve chordae tendineae.
Article in Applied mathematical modelling, 2026. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Not yet cited in PubMed.
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Abstract
The state-space representation is an alternative description of a dynamical system to the input-output representation in the systems theory. In this paper, we used the state-space representation to study the mechanical behavior of the tricuspid valve (TV) chordae tendineae. The TV chordae behave viscoelastic features under the loading; hence, we cast the generalized Kelvin model with an additional nonlinear spring into the state-space description to develop the solution under different loading conditions. With the aid of the state-space representation, the closed-form solution of the displacement response can be analytically obtained, for the case of force control. Taking into account the in-resistance of compression of biological soft tissue, the exact response to a sinusoidal cyclic force with non-zero mean was
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