Geodesic
The cortical bone tissue controlled recovering after treatment in the external fixation apparatuses
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 11 (2011) no. 1, pp. 50-59.

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The paper represents the new bone tissue rehabilitation method. The rehabilitation control loads are affected to the regenerative lower extremity by the use of a special training device. The adaptive changes of the elasticity modulus, porosity, volumetric mineral content and strengthening of the cortical bone tissue are simulated during the union of a bone using the external fixation apparatus (by example of the Ilizarov's pin apparatus) and the following rehabilitation time. The new constitutive equation of the adaptive change of the volumetric mineral content (“rheological adaptation” from I. V. Knets) is proposed. The evaluation of the external, internal and rheological adaptations investments at the change of the elasticity modulus has been performed. The typical conditions of the rehabilitation loads in training device have been searched. The high level of the cortical bone tissue strengthening has been determined under all rehabilitation load conditions. 
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Yu. V. Akulich; A. Yu. Akulich; P. A. Bruchanov; A. S. Denisov. The cortical bone tissue controlled recovering after treatment in the external fixation apparatuses. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 11 (2011) no. 1, pp. 50-59. http://geodesic.mathdoc.fr/item/ISU_2011_11_1_a6/

[1] Yanson Kh. A., Biomekhanika nizhnei konechnosti, Zinatne, Riga, 1975, 362 pp.

[2] Akulich Yu. V., Sotin A. V., “Sravnitelnyi analiz vliyaniya mekhanicheskikh faktorov na poteryu massy kostnoi tkani protezirovannogo bedra”, Mekhanika kompozitsionnykh materialov i konstruktsii, 13:2 (2007), 254–264

[3] Ladeischikov V. M., Optimizatsiya diagnostiki i kompleksnogo lecheniya postradavshikh s sochetannoi travmoi, avtoref. dis. $\dots$ d-ra med. nauk, Samara, 2008, 39 pp.

[4] Akulich Yu. V., “Matematicheskaya model protsessa vnutrennei adaptatsionnoi perestroiki spongioznoi i kortikalnoi kostnykh tkanei cheloveka”, Mekhanika kompozitsionnykh materialov i konstruktsii, 11:2 (2005), 157–168

[5] Regirer S. A., Shadrina N. Kh., “Dvizhenie krovi i interstitsialnoi zhidkosti v kostnoi tkani”, Mekhanika zhidkosti i gaza, 5 (1999), 4–28 | Zbl

[6] Knets I. V., Pfafrod G. O., Saulgozis Yu. Zh., Deformirovanie i razrushenie tvërdykh biologicheskikh tkanei, Zinatne, Riga, 1980, 317 pp.

[7] Pobedrya B. E., Mekhanika kompozitsionnykh materialov, Izd-vo MGU, M., 1984, 336 pp. | Zbl

[8] Currey J. D., “The many adaptations of bone”, J. of Biomechanics, 36 (2003), 1487–1495 | DOI

[9] Lawson A. C., Czernutszka J. T., “Collagen-calcium-phosphate composites”, Proc. Inst. Mech. Engrs. Part H, 212 (1998), 413–425 | DOI

[10] Avrunin A. S. i dr., “Nanourovnevyi mekhanizm zhestkosti i prochnosti kosti”, Travmatologiya i ortopediya Rossii, 2:48 (2008), 77–83

[11] Cowin S. C., FiroozbakhshK. K. J., “Bone remodeling of diaphisal surfaces under constant load: theoretical predictions”, J. of Biomechanics, 7 (1981), 471–484 | DOI

[12] Sotin A. V., Akulich Yu. V., Podgaets R. M., “The model of cortical bone tissue adaptive remodeling”, Rus. J. of Biomechanics, 5:1 (2001), 24–31

[13] Akulich Yu. V., Akulich A. Yu., Denisov A. S., “Adaptatsionnye izmeneniya svoistv kostnoi tkani fragmentov kosti posle osteosinteza sheiki bedra zhëstkimi rezbovymi fiksatorami”, Mekhanika kompozitsionnykh materialov i konstruktsii, 14:3 (2008), 313–331

[14] Martin R., Burr D., Sharkey N. A., Skeletal Tissue Mechanics, Springer, N.Y., 1998, 392 pp.

[15] Lindahl O., Lindgren A., “Cortical bone in man. II. Variation in tensile strength with age and sex”, Acta Orthopaed. Scand., 38 (1967), 141–147 | DOI