National Institute of Technology Rourkela

राष्ट्रीय प्रौद्योगिकी संस्थान राउरकेला

ଜାତୀୟ ପ୍ରଯୁକ୍ତି ପ୍ରତିଷ୍ଠାନ ରାଉରକେଲା

An Institute of National Importance

Syllabus

Course Details

Subject {L-T-P / C} : BM4702 : Computational methods in Bioengineering Laboratory { 0-0-2 / 1}

Subject Nature : Practical

Coordinator : Dr. Ravi Kant Avvari

Syllabus

Exp. 1: Introduction to programming using MATLAB/ SCILAB
Exp. 2: Strassen’s matrix multiplication algorithm
Exp. 3: Solution to a system of linear equation using Gauss-Siedel method
Exp. 4: Solution to a system of linear equation using Conjugate Gradient method
Exp. 5: Implement solution to a linear regression fit using least square method
Exp. 6: Finding roots of a non-linear equation using Newton-Raphson method
Exp. 7: Numerical integration using quadrature method
Exp. 8: Solution to a system of ordinary differential equations using numerical method
Exp. 9: Lid driven cavity flow simulation using MATLAB
Exp. 10: Solution to unsteady peristaltic transport in parallel plate channel

Course Objectives

  • To become familiar with various methods of computational modeling in bioengineering.
  • To explore utility of computational tools such as MATLAB/ SCILAB.
  • To learn the techniques of solving differentiation and integration numerically.
  • To understand the purpose of computer simulations of relevance to bioengineering.

Course Outcomes

After the completion of the course, the students will be able to <br />CO1 Implement basic computational algorithms using MATLAB/ SCILAB <br />CO2 Describe utility of MATLAB/ SCILAB in computational analysis of a bioengineering problem <br />CO3 Apply techniques of numerical differentiation and solve ODE/PDE <br />CO4 Apply techniques of numerical integration and solve integral equations. <br />CO5 Explain the purpose of computer simulation in the field of bioengineering

Essential Reading

  • William Bober, Introduction to Numerical and Analytical Methods with MATLAB® for Engineers and Scientists, CRC Press , 1st edition (31 December 2013)
  • Stanley Dunn Ph.D. Dr., Alkis Constantinides Dr., Prabhas V. Moghe Ph.D., Numerical Methods in Biomedical Engineering, Academic Press , 21 November 2005

Supplementary Reading

  • Michael Schäfer, Computational Engineering - Introduction To Numerical Methods, Springer Nature Switzerland AG , 2nd ed. 2022 edition (20 July 2021)
  • Jain, M.K, Numerical Methods : For Scientific and Engineering Computation, New Age International , 2003