E. L. Starostin

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The thin elastic rod was proposed as a model for DNA as early as in late 70-s (Benham 1977). The model was elaborated on the basis of Kirchoff’s theory of linear elastic rods. The elastic properties of the rod are characterized by three stiffness coefficients: two bending and one torsional. It is possible to estimate their effective values for the DNA rod(More)
The writhe of a space curve fragment is considered for various boundary conditions. An expression for the writhe as a function of arclength for an arbitrary space curve is obtained. The formula is built on the base of closing the tangent indicatrix with a geodesic. The corresponding closure of a curve in 3-space is explicitly constructed. The addition rule(More)
Abstract. A problem is formulated about how many unit-radius tubes can touch a ball of given radius from the outside and from the inside. Upper bounds for the maximum numbers of contacts are obtained for both interior and exterior contacts. It is also shown that the maximum number of unit-radius tubes touching the same orthogonal cross-section of a(More)
The thin elastic rod is a conventional model for the mesoscale structure of DNA. The symmetric multi-leafed closed equilibria with one multiple self-contact point are examined. The contact force is assumed to be pointwise and frictionless. The bifurcation diagram is presented for first branches of two- and three-leafed families including trefoil knots.
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