
MSRIT Numerical and Mathematical Biology Sem 3 Unit 5 : Models of flows for other Biofluids(Peristaltic flows in Bio mechanics, Peristaltic motion in channels, Characteristic dimensionless parameters, Models for Gas exchange and air flow in lungs, Alveolar sacs, pulmonary capillaries, Weibel s model for flows in lung air ways, Two dimensional flow in renal tubule Function of Renal tube Basic equations and boundary conditions) 


1. Probability, Random Variables, and Probability Distributions(Clinical Nutrition and Dietetics) 
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The foundation of all statistical methodology is probability theory, which progresses from elementary to the most advanced mathematics. Much of the misunderstanding and abuse of statistics comes from the lack of understanding of its probabilistic foundation. When assumptions of the underlying probabilistic (mathematical) model are grossly violated, derived inferential methods will lead to misleadi
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Title: MSc.CND103 Research Methods and Biostatistics




2. Mathematical Modelling through System of Differential Equations(Mathematics) 
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In mathematics, an ordinary differential equation (ODE) is an equation in which there is only one independent variable and one or more derivatives of a dependent variable with respect to the independent variable, so that all the derivatives occurring in the equation are ordinary derivatives.
Title: Math 3.4 Mathematical Modeling




3. Mathematical Modelling through Second Order Differential Equations(Mathematics) 
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Differential equations occur quite frequently in our daily life. The motion of an object can always be associated with a differential equation. The change in price of commodities, the flow of fluids, the concentration of chemicals, etc., often lead to differential equation. Such equations may depend on one or more independent variables.
Title: Math 3.4 Mathematical Modeling




4. Introduction of Scientific Research and Good Scientific Practices (GSP)(Clinical Nutrition and Dietetics) 
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The scientific enterprise is built on a foundation of trust. Society trusts that scientific research results are an honest and accurate reflection of a researcher's work. Researchers equally trust that their colleagues have gathered data carefully, have used appropriate analytic and statistical techniques, have reported their results accurately, and have treated the work of other researchers with
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Title: MSc.CND103 Research Methods and Biostatistics




5. Role of Biostatistics in Scientific Research(Clinical Nutrition and Dietetics) 
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Biostatistics has been demanded increasingly in biomedical research since the 1960s for support in experimental design, mathematical and statistical modelling as well as computational statistics. This resulted in the establishment of biostatistical units in universities, research institutes and larger pharmaceutical companies; a development not without disturbances and regularly rethinking the ro
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Title: MSc.CND103 Research Methods and Biostatistics




6. Developing Survey Instrument(Clinical Nutrition and Dietetics) 
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Scales are the most commonly used method of data collection in field research Over the past several years, hundreds of scales have been developed to assess attitudes, knowledge, perceptions or opinions of students, teachers, parents and organizations in order to examine
the hypothesized relationships with behavior and other constructs.
Title: MSc.CND103 Research Methods and Biostatistics




7. Foundation for Bio Chemistry(Clinical Nutrition and Dietetics) 
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Atom is the smallest unit of a substance. The identity of a substance will be destroyed if its atom is further divided. Different substances will have different types of atoms. All atoms are made up of a number of protons, neutrons and electrons. Molecule is the smallest unit of a compound. The water molecule consists of two hydrogen atoms and one oxygen atom which bind together by covalent bonds.
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Title: MSc.CND102 Principles of BioChemistry




8. Enzymes(Clinical Nutrition and Dietetics) 
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The use of enzymes in the diagnosis of disease is one of the important benefits derived from the intensive research in biochemistry since the 1940's. Enzymes have provided the basis for the field of clinical chemistry.
It is however, only within the recent past few decades that interest in diagnostic enzymology has multiplied.
Title: MSc.CND102 Principles of BioChemistry




9. Central Dogma of Molecular Biology(Clinical Nutrition and Dietetics) 
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The three major steps in the processing of genetic information via the three fundamental processes of replication, transcription and translation is known as central dogma of molecular biology.
Title: MSc.CND102 Principles of BioChemistry




10. Sample Procedures(Clinical Nutrition and Dietetics) 
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Sampling is very often used in our daily life. For example while purchasing food grains from a shop we usually examine a handful from the bag to assess the quality of the commodity. A doctor examines a few drops of blood as sample and draws conclusion about the blood constitution of the whole body. Thus most of our investigations are based on samples. In this chapter, let us see the importance of
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Title: MSc.CND103 Research Methods and Biostatistics




11. Elucidation of Structure of Proteins(Clinical Nutrition and Dietetics) 
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The first level is the amino acid sequence, often called its primary structure,perhaps to stress the fact that the sequence to a high degree defines the tertiary protein structure. The next level is the secondary structure, the primary building blocks of the tertiary protein structure. Secondary structure elements are combined into different structural motifs,or protein motifs, sometimes also call
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Title: MSc.CND102 Principles of BioChemistry




12. Introduction to Wildlife Biology(Environmental Science and Technology) 
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Wildlife means all living things that are found outside direct human control. It includes plants, animals and microbes that are not cultivated or reared by man. Some people use the term wildlife only to large organisms that are living in the forests. In fact wildlife includes all
organisms right from bacteria, many microscopic organisms like protozoa, fungi, worms, insects, frogs, birds, mammals,
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Title: MSc Tech 203 Biodiversity and Conservation




13. Food Chain, BioConcentration, Biogeochemical Cycles (Environmental Science and Technology) 
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The entire biosphere is an assemblage of abiotic and biotic components in an ecosystem in the network of food chains and food webs. Bioconcentration, Bioaccumulation and Biomagnification of metals and other toxic compounds are found after biopsy of humans. The importance of biogeochemical cycles in cycling of matter is discussed with specific focus on carbon and phosphorus cycles. The importance
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Title: MSc Tech 204 Environmental Pollution and its Prevention




14. Macromolecules(Clinical Nutrition and Dietetics) 
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General names for carbohydrates include sugars, starches, saccharides, and
polysaccharides. The term saccharide is derived from the Latin word" sacchararum" from the sweet taste of sugars.
Title: MSc.CND102 Principles of BioChemistry




15. Fundamental Numerical Computations(Mathematics) 
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In this unit, students will be able to study the Logic, algorithm, program and sample output of sum of first 10 terms of sine series, the entered number is prime number or not, sum of two matrices, A+ B, and product of two matrices A *B and finally, the factorial of a number.
Title: Math 3.5 Computer Programming




16. Genetic Code(Clinical Nutrition and Dietetics) 
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The genetic code is the set of rules by which information encoded in genetic material (DNA or mRNA sequences) is translated into proteins (amino acid sequences) by living cells. The code defines how sequences of three nucleotides, called codons, specify which amino acid will be added next during protein synthesis. With some exceptions, a three nucleotide codon in a nucleic acid sequence specifies
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Title: MSc.CND102 Principles of BioChemistry




17. Mathematical Modeling of Some Fundamental Problems(Mathematics) 
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Mathematical Modeling in terms of differential equations arises when the situation modeled involves some continuous variables varying with respect to other continuous variables and we have reasonable hypothesis about the rate of change of dependent variables with respect to independent variables. Mathematical models in terms of ordinary differential equations will be studied in this unit and the u
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Title: Math 3.4 Mathematical Modeling




18. Nucleic Acids(Clinical Nutrition and Dietetics) 
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Nucleic acids are polymers of nucleotides held by 3' and 5' phosphate bridges. These serve as transmitters of genetic information. There are 2 types of nucleic acid DNA (deoxyribonucleic acid) and RNA (ribonucleic acid).
Title: MSc.CND102 Principles of BioChemistry




19. Numerical Differentiation and Integration(Mathematics) 
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In this unit deals with Trapezoidal rule, Simpson's 1/3rd and 3/8 rule,
Weddle's rule and RungeKutta 2nd and 4th order. The evaluation of expressions involving these integrals can become daunting, if not indeterminate. For this reason, a wide variety of numerical methods has been developed to simplify the integral.
Title: Math 3.5 Computer Programming




20. Introduction to mathematical Modeling(Mathematics) 
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A mathematical model is a description of a system using mathematical concepts and language. The process of developing a mathematical model is termed mathematical modeling. Mathematical models are used not only in the natural sciences such as physics, biology, earth science, meteorology and engineering disciplines like computer science, artificial intelligence, but also in the social sciences Physi
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Title: Math 3.4 Mathematical Modeling




21. Mathematical Modelling for Convection Diffusion and Reaction Processes(Mathematics) 
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After studying this unit, students will be able to analyse about convection diffusion processesBurger's equation which will cover Burger's equation and the plane wave solution, ColeHopf transformation and the exact solution of Burger's equation. They will also be able to explain asymptotic behavior of the exact solution of Burger's equation and Burger's initial and boundary value problem and exp
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Title: Math 3.4 Mathematical Modeling




22. Mathematical Logic Part II(Information Technology) 
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In this unit concepts like equivalence of WFFs, tautological implication, duality of WFF, two important normal forms namely disjunctive and conjunctive forms and finally inference process given some set of premises are discussed in various sections, in detail with several examples.
Title: MSIT101 Essential Mathematics




23. Mathematical Modelling for Suspended Particulate Matter(Mathematics) 
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Suspended Particulate Matter (SPM) is solid and liquid particle suspended in
ambient air of which particle size is not more than 10 microm. In this unit, we have considered the effects of SPM on human body and climate etc.
Title: Math 3.4 Mathematical Modeling




24. Mathematical Principles of Air Pollution(Mathematics) 
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After studying this unit, students will be able to construct and analyse mathematical principle of air pollution using gradient diffusion model. They will also be able to explain conservation of mass, conservation of momentum and conservation of species/turbulent flow in the atmosphere.
Title: Math 3.4 Mathematical Modeling




25. Population Dynamics(Environmental Science and Technology) 
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Population dynamics is the branch of life sciences that studies short and longterm changes in the size and age composition of populations, and the biological and environmental processes influencing those changes. Population dynamics deals with the way populations are affected by birth and death rates, and by immigration and emigration, and studies topics such as ageing populations or population
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Title: MSc Tech 104 Ecology and Environment






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