LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034
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M.Sc. DEGREE EXAMINATION – MATHEMATICS
THIRD SEMESTER – November 2008
MT 3875 – MATHEMATICAL METHODS IN BIOLOGY
Date : 10-11-08 Dept. No. Max. : 100 Marks
Time : 9:00 – 12:00
Answer ALL Questions:
- (a) (i) Write and explain any five basic SQLPLUS command.
(or)
(ii) Write a short note on LIKE command using an example. (5)
(b) (i) Create a table named “STUDENT_LIST” with student_id, student_name, department, address_ty. What are the different methods involved in inserting a record in the student_list table?
(ii) What are the advantages of chi-square test? (12 + 3)
(or)
(iii) Briefly explain normalization using an example. (15)
- (a) (i) A sample analysis of examination results of 200 MBA’s was made. It was found that
46 students had failed, 68 secured a third division, 62 secured a second division and the rest were placed in first division. Are these figures commensurate with the general
examination result which is in the ratio 4: 3: 2: 1 for various categories respectively?
(or)
(ii) Let where,, and d is defined as:
| d | 0 | 1 |
Draw the state diagram and verify if 11010101 is in L (M). (5)
(b) (i) Write a short note on combining logic.
(ii) Briefly explain the different types sampling. (7 + 8)
(or)
(iii) The following figures show the distribution of digits in number chosen at random from a telephone directory:
| Digits | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
| Frequency | 966 | 1007 | 1000 | 1023 | 1075 | 900 | 1107 | 1005 | 964 | 953 |
Test whether the digits may be taken to occur equally frequently in the directory.
(iv) Write notes on Centromere, and RNA. (8 + 7)
- (a) (i) Write an account on the aims and tasks of Bioinformatics.
(or)
(ii) Define Gene, Chromosome, DNA and Genome. (5)
(b) (i) Explain generalized and specialized data bases.
(ii) Write notes on FASTA and BLAST. (7 + 8)
(or)
(iii) Discuss the application of bioinformatics.
(iv) Briefly describe Lavenshtein and Hamming distance. (10 + 5)
- (a) (i) Explain the different approaches in phylogenetic analysis.
(or)
(ii) What is called optical alignment? (5)
(b) (i) Discuss the important features of algorithms.
(ii) Differentiate Homologs, Orthologs, Paralogs and Xenologs. (7 + 8)
(or)
(iii) Explain Global and Local alignment.
(iv) Briefly explain scoring mutations, Deletions and Substitutions. (8 + 7)
- (a) (i) Write a note on nucleic acid sequence data bases.
(or)
(ii) Explain the responsibilities of DBMS. (5)
(b) (i) Form an essay on the methods of phylogenetic tree construction.
(ii) What are clade, Taxon and Node? (10 + 5)
(or)
(iii) Briefly explain Word of k-tuple.
(iv) Explain Dot Matrix.
(v) What are high scoring and low scoring matches? (5 + 5 + 5)