Osteon

SITE OF BONE FLUID FLOW

Active Models for the Transport of Bone Fluid and Nutriens in Lacunar - Canalicular System

The nature of the Heat and Meditation

          petrov333@gmail.com
STRUCTURE OF THE COMPACT BONE

      Bones are rigid organs that form part of the endoskeleton of vertebrates. They function to move, support, and protect the various organs of the body, produce red and white blood cells and store minerals. Because bones come in a variety of shapes and have a complex internal and external structure, they are lightweight, yet strong and hard, in addition to fulfilling their many other functions. One of the types of tissues that makes up bone is the mineralized osseous tissue, also called compact bone tissue, that gives it rigidity and honeycomb-like three-dimensional internal structure.

lacunar-canalicular system of bone


lacunar-canalicular system of osteon


      Compact bone is a well-organised, multi-level structure. Bone can be modelled as a porous deformable material whose pores are filled with cells, organic material and interstitial fluid. Fluid flow is believed to play a role in the mechanotransduction of signals for bone remodelling. Streaming potential is considered as one of the most important mechanisms to moderate the function of osteoblasts and osteocytes in bone growth, remodeling and fracture repair.
Selected Publications of  N. Petrov  on Bone Fluid Flow (full texts)


Petrov, N. (2007) General Thermodynamic Theory for Active Bio-Continuum, Journal of Theoretical and Applied Mechanics, vol. 37, No. 4, pp 79-92.

Petrov, N. (2005) Mathematical Analysis of Stress Induced Pressure Relaxation in Osteons, J. Theoretical and Applied Mechanics, vol. 35, No. 3, pp. 87-96.

Petrov, N., and S.R. Pollack (2003) Comparative Analysis of Diffusive and Stress Induced Nutrient Transport Efficiency in the Lacunar-Canalicular System of Osteons, Biorheology, vol. 40, No. 1-3, pp 347-353.

Petrov, N. and S.R. Pollack (2003) The Idea that Stress Induced Fluid Flow Can Provide Sufficient Nutrient Transport in Osteons Could be an Illusion, Bone, vol. 32, Issue 5, Supplement S197.

Petrov, N. and R.S. Pollack (2002) Drainage Distance of Stress Induced Fluid Flow in Cortical Bone, J. Theoretical and Applied Mechanics, 2002, vol. 32, No. 3, pp. 101-108.

Petrov, N. (2000) Estimation of the Hydraulic Canalicular Radius in Cortical Bone, J. Theoretical and Applied Mechanics, vol. 30, No. 4, pp. 84-92.

Petrov, N. and S.R. Pollack (2000) An Anatomical Model of Stress Induced Fluid Flow in Osteons, In the Proceedings of the International Conference on Biorheology, Sofia, Bulgaria, 18-22 October 2000, pp 72-77.

Pollack, S.R. and N. Petrov (2000) A Triple Porosity Model of Stress Induced Fluid Flow in Cortival Bone, In the Proceedings of the International Conference on Biorheology, Sofia, Bulgaria, 18-22 October 2000, pp 67-71.

Petrov, N., S.R. Pollack and R. Blagoeva (1989) A Discrete Model for Streaming potentials in Osteon, J.Biomechanics, vol.22, No.6/7, pp517-521.

Salzstein, R., S.R. Pollack, A.F. Mak and N. Petrov (1987) Electromechanical potentials in Cortical Bone – I. A Continuum approach, J. Biomechanics vol. 20, No 3, pp 261-270.

Pollack, S.R., N. Petrov,R. Salstein, G. Brankov and R. Blagoeva (1984) An Anatomical Model for Streaming Potentials in Osteons, J. Biomechanics, vol.17, No.8, pp627-633.

Petrov, N. (1981) Dry Bone as a Quadrupole Piezodielectric, Biomechanics, vol.11, pp35-40.

Petrov, N. (1975) On the Electromechanical Interaction in Physiologic Wet Bone, Biomechanics, vol. 2, pp 43-52.

Petrov, N. (1975) Electromechanical Interaction in Physiologic Wet Bone, Biomechanics, vol. 2, pp 31-42.

All recommendations, suggestions, or proposals for exchange of experience in the field of mathematical modeling of the ACTIVE CONTINUA or BONE FLUID FLOW are welcome!

Assoc. Prof. Nikola Petrov
Institute of Mechanics
Bulgarian Academy of Sciences
e-mail: petrov333@gmail.com






Google