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Advanced mechanical models of DNA elasticity / Yakov M. Tseytlin. -- London : Academic Press, c2016. – (58.174252/T882)

Contents

Biography

Preface

Acknowledgments

1  DNA Molecules Mechanical Properties and Models

1.1  Mechanical Properties

1.2  Discrete, Flexible Chains, and Atomistic Models: WLC, FJC, DPC, WLRC, HW, ZZM

1.3  Continuum and Approximation Models

1.4  Dynamics and Fluctuation

1.5  Persistence Length Features

1.6  A, B, Z DNA Forms, S- and P-DNA Phases

1.7  Polymer Materials

1.8  DNA Technical Applications

1.9  DNA Size and Mass Conversion

1.10 Deflection at Equilibrium

References

2  Force Application, Measurement, and Manipulation Accessories

2.1  Stretching Micropipette, Glass Microneedles, and Hydrodynamics

2.2  Optical Trap and Tweezers

2.3  Small-Angle X-ray Scattering Interference (SAXSI)

2.4  Magnetic Tweezers

2.5  Atomic Force Microscopy

2.6  Concave Notch Hinges

References

3  AFM with Higher Mode Oscillations and Higher Sensitivity

3.1   Effects of the Resonance Modes. Kinetostatic Method

3.2  Effective Spring Constants Ratio

3.3  Cantilever End Inclination Spring Constants

3.4  Quality Factor Influence

3.5 End Extended Mass (V-Shaped Cantilever)

3.6 Shift of Resonant Frequency

3.7 Actuators and Detectors

3.8 Internal and External Damping

3.9  Calibration

References

4  Kinematics and Nonlinear Motion Transformation in Elastic Helicoids

4.1   Helix Parameters

4.2  Motion Stability

4.3  Transmission Nonlinearity

4.4  Motion Transformation in a Thin Helicoidal Strip

4.5  Coiled Ribbon Helicoids

4.6  Transmission Relations

4.7  Fatigue Options and Statistical Fluctuations

References

5  Dynamics of the Elastic Systems with Helicoids

5.1  Dynamic Functions

5.2  Helicoids Dynamics

5.3  Vibration of a Thin Helicoid

5.4  Internal Friction (Damping) in a Helicoid

5.5  Shells and Quasi-Helicoids

5.6  Dynamic Rate in Helicoidal Sensors

5.7  Flexural Wave Propagation

5.8  Limits of the Transmission Fntropic Fluctuations

References

6  Double-Stranded DNA Elasticity

6.1  Helix Chain

6.2  Properties of Explicit Helicoidal Model (EHM)

6.3  Twist-Stretch Coupling

6.4  Statistical Fluctuation

6.5  Stretch Stiffness and Poisson's Ratio

6.6  Persistence Length Relations and Poisson's Ratio

6.7  Overwinding Options

6.8  Nonlinear Length Fluctuations

6.9  Speed Factor

References

7.   DNA Elasticity with Transition

7.1  Discrete Persistence Chain (DPC)

7.2  Reverse WLC Modeling

7.3  Approximation by Sequence of Linear Springs

7.4  Explicit Helicoidal Model (EHM) Transition

7.5  Buckling of DNA Molecule

7.6  Elasticity of ssDNA, ZZM, DPC, and EHMR Models

7.7  Mechanical Stability

7.8  Nonlinear Dynamics and Traveling Waves

7.9  EHM in Chains

References