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2025 ; 15
(1
): 36154
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The variational modulus density theory explains mechanical responses of cell
membranes and membrane crosslinkers
#MMPMID41102261
Kim J
Sci Rep
2025[Oct]; 15
(1
): 36154
PMID41102261
show ga
Both classical mechanics and quantum mechanics explain Brownian motion. However,
it remains unclear whether they are compatible with each other, as the physical
and mathematical identity of the wavefunction in quantum mechanics has been
elusive. In this work, a continuum theory using grammars in classical mechanics
modeling, but potentially compatible with the quantum wavefunction, is
introduced. The theory explains the confined Brownian motion of cell membrane
inclusions interacting with extracellular matrices or cytoskeletons via elastic
molecular crosslinkers. This crosslinker theory is integrated into the
Canham-Helfrich-Evans model for fluid membranes. Calculations, based on a finite
element method for the combined theory, reproduced measured data from adhesion
molecular machineries and cell membranes. Overall, by providing physical and
mathematical interpretations of the quantum wavefunction, the presented
theoretical model provides improved capabilities for the realistic simulation of
cell membranes and membrane linker proteins.