It is shown that the mechanism of the gas molecules transfer through the lipid bilayer can be connected with the kink-solitons. They are appeared in the lipid bilayer as a result of structural changes in biomembranes. The analytical model describing the behavior of kink-solitons in the finite hydrocarbon chain is presented. The kink-solitons are formed during the folding of the erythrocyte as it moves along the microcapillaries. The equation of the kink-soliton motion is derived. This equation is numerically solved. It is shown that kink-solitons can appear in both saturated and unsaturated alkyl chains. In unsaturated chains, the soliton is "smeared out,"CH2-groups vibrate around C=C bonds with a significant amplitude, taking away part of the soliton's energy. The transport of gas molecules by kink-solitons in unsaturated chains is hindered in comparison with saturated hydrocarbon chains. When the mechanical stress field changes, a sharp change in membrane permeability occurs.