Biomechanics is the application of mechanical principles on living organisms. This includes research and analysis of the
mechanicsof living organisms and the application of engineering principles to and from biological systems a.k.a bioengineering. This research and analysis can be carried forth on multiple levels, from the molecular, wherein biomaterialssuch as collagenand elastin are considered, all the way up to the tissue and organ level. Some simple applications of Newtonian mechanics can supply correct approximations on each level, but precise details demand the use of continuum mechanics. Giovanni Alfonso Borelliwrote the first book on biomechanics, "De Motu Animalium", or On the Movement of Animals. He not only saw animals' bodies as mechanical systems, but pursued questions such as the physiological difference between imagining performing an action and actually doing it. Some simple examples of biomechanics research include the investigation of the forces that act on limbs, the aerodynamicsof bird and insect flight, the hydrodynamicsof swimmingin fish, and locomotionin general across all forms of life, from individual cells to whole organisms. The biomechanics of humanbeings is a core part of kinesiology.
The application of biomechanical principles to plants and plant organs has developed into the sister field of
Plant biomechanics. The many strands of plant biomechanics are described in a text book on the subject by Karl Niklas "Plant Biomechanics: An Engineering Approach to Plant Form and Function".
Applied mechanics, most notably
thermodynamicsand continuum mechanics, and mechanical engineeringdisciplines such as fluid mechanicsand solid mechanics, play prominent roles in the study of biomechanics. By applying the laws and concepts of physics, biomechanical mechanisms and structures can be simulated and studied.
It has been shown that applied
loads and deformations can affect the properties of living tissue. There is much research in the field of growth and remodeling as a response to applied loads. For example, the effects of elevated blood pressureon the mechanics of the arterial wall, the behavior of cardiomyocytes within a heart with a cardiac infarct, and bonegrowth in response to exercise, and the acclimative growth of plants in response to wind movement, have been widely regarded as instances in which living tissue is remodelled as a direct consequence of applied loads.
Relevant mathematical tools include
linear algebra, differential equations, vector and tensor calculus, numerics and computational techniques such as the finite element method.
The study of
biomaterials is of crucial importance to biomechanics. For example, the various tissues within the body, such as skin, bone, and arteries each possess unique material properties. The passive mechanical response of a particular tissue can be attributed to characteristics of the various proteins, such as elastinand collagen, living cells, ground substances such as proteoglycans, and the orientations of fibers within the tissue. For example, if human skinwere largely composed of a protein other than collagen, many of its mechanical properties, such as its elastic modulus, would be different. Chemistry, molecular biology, and cell biologyhave much to offer in the way of explaining the active and passive properties of living tissues. For example, in muscle contractions, the binding of myosinto actinis based on a biochemical reaction involving calcium ions and ATP.
The study of biomechanics ranges from the inner workings of a cell to the movement and development of limbs, to the mechanical properties of
soft tissue, and bones. As we develop a greater understanding of the physiological behavior of living tissues, researchers are able to advance the field of tissue engineering, as well as develop improved treatments for a wide array of pathologies.
Biomechanics as a
sports science, kinesiology, applies the laws of mechanics and physics to human performance in order to gain a greater understanding of performance in athletic events through modeling, simulation, and measurement.
It is often appropriate to model living tissues as
continuous media. For example, at the tissue level, the arterial wall can be modeled as a continuum. This assumption breaks down when the length scales of interest approach the order of the micro structural details of the material. The basic postulates of continuum mechanics are conservation of linear and angular momentum, conservation of mass, conservation of energy, and the entropyinequality. Solids are usually modeled using "reference" or "Lagrangian" coordinates, whereas fluids are often modeled using "spatial" or "Eulerian" coordinates. Using these postulates and some assumptions regarding the particular problem at hand, a set of equilibrium equations can be established. The kinematicsand constitutive relations are also needed to model a continuum
Second and fourth order tensors are crucial in representing many quantities in electromechanical. In practice, however, the full tensor form of a fourth-order constitutive matrix is rarely used. Instead, simplifications such as
isotropy, transverse isotropy, and incompressibilityreduce the number of independent components. Commonly-used second-order tensors include the Cauchy stress tensor, the second Piola-Kirchhoff stress tensor, the deformation gradient tensor, and the Green strain tensor. A reader of the mechanic's literature would be well-advised to note precisely the definitions of the various tensors which are being used in a particular work.
Under most circumstances,
bloodflow can be modeled by the Navier-Stokes equations. Whole blood can often be assumed to be an incompressible Newtonian fluid. However, this assumption fails when considering flows within arterioles. At this scale, the effects of individual red blood cells becomes significant, and whole blood can no longer be modeled as a continuum. When the diameter of the blood vessel is slightly larger than the diameter of the red blood cell the Fahraeus–Lindquist effectoccurs and there is a decrease in wall shear stress. However, as the diameter of the blood vessel decreases further, the red blood cells have to squeeze through the vessel and often can only pass in single file. In this case, the inverse Fahraeus–Lindquist effect occurs and the wall shear stress increases.
anisotropicbut are approximately transversely isotropic. In other words, bones are stronger along one axis than across that axis, and are approximately the same strength no matter how they are rotated around that axis.
The stress-strain relations of bones can be modeled using
Hooke's law, in which they are related by elastic moduli, e.g. Young's modulus, Poisson's ratioor the Lamé parameters. The constitutive matrix, a fourth order tensor, depends on the isotropy of the bone.
There are three main types of muscles:
Skeletal muscle(striated): Unlike cardiac muscle, skeletal muscle can develop a sustained condition known as tetiny through high frequency stimulation, resulting in overlapping twitches and a phenomenon known as wave summation. At a sufficiently high frequency, tetany occurs, and the contracticle force appears constant through time. This allows skeletal muscle to develop a wide variety of forces. This muscle type can be voluntary controlled. Hill's Modelis the most popular model used to study muscle.
Cardiac muscle(striated): Cardiomyocytes are a highly specialized cell type. These involuntarily contracted cells are located in the heart wall and operate in concert to develop synchronized beats. This is attributable to a refractory period between twitches.
Smooth muscle(smooth - lacking striations): The stomach, vasculature, and most of the digestive tract are largely composed of smooth muscle. This muscle type is involuntary and is controlled by the enteric nervous system.
Soft tissues such as
tendon, ligamentand cartilageare combinations of matrix proteins and fluid. In each of these tissues the main strength bearing element is collagen, although the amount and type of collagen varies according to the function each tissue must perform. Elastin is also a major load-bearing constituent within skin, the vasculature, and connective tissues.The function of tendons is to connect muscle with bone and is subjected to tensile loads. Tendons must be strong to facilitate movement of the body while at the same time remaining compliant to prevent damage to the muscle tissues. Ligaments connect bone to bone and therefore are stiffer than tendons but are relatively close in their tensile strength. Cartilage, on the other hand, is primarily loaded in compression and acts as a cushion in the joints to distribute loads between bones. The compressive strength of cartilage is derived mainly from collagen as in tendons and ligaments, however because collagen is comparable to a "wet noodle" it must be supported by cross-links of glycosaminoglycans that also attract water and create a nearly incompressible tissue capable of supporting compressive loads.
Recently, research is growing on the biomechanics of other types of soft tissues such as skin and internal organs. This interest is spurred by the need for realism in the development of medical
Viscoelasticityis readily evident in many soft tissues, where there is energy dissipation, or hysteresis, between the loading and unloading of the tissue during mechanical tests. Some soft tissues can be preconditioned by repetitive cyclic loading to the extent where the stress-strain curves for the loading and unloading portions of the tests nearly overlap. The most commonly used model for viscoelasticity is the Quasilinear Viscoelasticity theory (QLV).In addition, soft tissues exhibit other viscoelastic properties, including creep, stress relaxation, and preconditioning.
Hooke's lawis linear, but many, if not most problems in biomechanics, involve highly nonlinear behavior, particularly for soft tissues. Proteins such as collagen and elastin, for example, exhibit such a behavior. Some common material models include the Neo-Hookean behavior, often used for modeling elastin, and the famous Fung-elastic exponential model. Non linear phenomena in the biomechanics of soft tissue arise not only from the material properties but also from the very large strains (100% and more) that are characteristic of many problems in soft tissues.
E. Lloyd Du Brul
*Important publications in biomechanics
* [http://www.coe.neu.edu/~vgohil Biomechanics and FEA of Bone]
* Dudley, R. 2000. "The Biomechanics of Insect Flight: Form, Function, Evolution." Princeton: Princeton University Press.
* Fung, Y. C. "Biomechanics: Mechanical Properties of Living Tissue." (2nd ed.). New York: Springer. ISBN 0-387-97947-6.
* Gans, C. 1974. "Biomechanics: An Approach to Vertebrate Biology." Philadelphia: J. B. Lippincott. ISBN-10: 0472080164, ISBN-13: 978-0472080168.
* Humphrey, J. D. "Cardiovascular Solid Mechanics: Cells, Tissues, and Organs." New York: Springer. ISBN 0-387-95168-7.
* Niklas, K. J. 1992 "Plant Biomechanics: An Engineering Approach to Plant Form and Function." Chicago: The University of Chicago Press. ISBN 9780226586311.
* Vogel, S. 2003. "Comparative Biomechanics: Life's Physical World." Princeton: Princeton University Press. ISBN 0-691-11297-5
* Wainwright, S. A., Biggs, J., Curry, S. and Gosline, J. (1978). "Mechanical Design in Organisms." University Press.
* Ikada, Yoshito. "Bio Materials: An Approach to Artificial Organs" (バイオマテリアル: 人工臓器へのアプローチ)
* [http://www.coe.neu.edu/~vgohil Biomechanics of Bone]
* Bartlett, R. 2007. "Introduction to Sports Biomechanics: Analysing Human Movement Patterns" London: Routledge. ISBN 978-0-415-33994-0 http://www.routledge.com/books/Introduction-to-Sports-Biomechanics-isbn9780415339940
* [http://www.asbweb.org American Society of Biomechanics]
* [http://www.isbweb.org International Society of Biomechanics]
* [http://www.biomch-l.org Biomch-L] - an internet discussion forum for biomechanics and human/animal movement science
* [http://www.thebiomechanicslab.com The Biomechanics Lab] - a medium for connection between individuals in the biomechanics field.
* [http://www.biomechanik.de/index.html Biomechanics Laboratory - Charité Berlin, Germany: Basic research with instrumented orthopaedic implants]
* [http://biomechanics.bio.uci.edu/_html/nh_biomech/running/running.htm "Natural History" columns on biomechanics]
* [http://www.biomechanik.fh-aachen.de Biomechanics Laboratory of the Aachen University of Applied Sciences, Germany ]
* [http://www.esm.vt.edu/php/twocol.php?link=underg&content=ugChkLsts&sb=15 The biomechanics undergraduate degree from the Virginia Tech Department of Engineering Science and Mechanics]
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