Usage of Applicable Mathematics in Biomedical Engineering (Macro and Micro Biomechanics)

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Usage of Applicable Mathematics in Biomedical Engineering (Macro and Micro Biomechanics)

Biomedical engineering is an emerging discipline which links medicine, biology, and technology in order to tackle medical problems using an engineering approach. As such, it is heavily influenced by engineering principles and uses applicable mathematics in nearly all of its aspects. It is important to note that applied mathematics (vector algebra, calculus, numerical approaches to solving functions, etc.) is a language, which evolved to serve the needs of science and particularly those of classical (Newtonian) mechanics. Thus, it describes and explores natural phenomena using mathematical functions and relations. As biomedical engineering incorporates many engineering spheres, it employs applicable mathematics in numerous situations. The following is an overview of the applications of mathematics in solving macro-biomechanical, and micro and nano-scale challenges in biomedical engineering. Biomechanics is a field of biomedical engineering which analyses the behaviour of structures and materials in biological or medical applications [1]. It is closely related to the field of prosthetics and uses mathematical analysis to design and test better devices. Dynamic analysis of systems involves constructing free-body diagrams and resolving forces acting on the components. Using partial derivatives and integration can vastly simplify biomechanical problems by switching between the domains of position, velocity, and acceleration. The position data is usually obtained from sensors on the bodies of people. It is then fed into a computer program, which mathematically resolves the velocity and acceleration vectors [2] . Such techniques are frequently used to analyse the natural movements of limbs (for example in gait analysis), body posture, skin tension [2]. Many challenges exist in…...

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