M.Phil / MS

Permanent URI for this collectionhttps://repository.cuilahore.edu.pk/handle/123456789/52

This collection archives the complete set of theses produced by students of the COMSATS University Islamabad, Lahore Campus.

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    Locating some Subgroups of the Baby Monster Group
    (Library Information Services, COMSATS University Islamabad, Lahore Campus, 2022) Abdul Sattar; FA19-RMT-029; LHR TP 7907; Dr. Adeel Farooq
    In this thesis, we have computed the generators for some subgroup of Y-Groups. These are the subgroups of the bimonster group whose generators satisfy the coxeter relations. It can be presented by Y-diagrams whose nodes represent the generators and satisfy the coxeter relations. We have computed the coxeter generators satisfying coxeter relations for Y111, Y211, Y411, Y421 and Y441. The generators of Y-group have been determined by computing successive centralizers. We have also surveyed some maximal subgroups of the Baby Monster Group.
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    Mathematical Model of Targeted Bone Remodeling
    (Library Information Services, COMSATS University Islamabad, Lahore Campus, 2018) Abdul Sattar; CIIT/SP16-RMT-009/LHR; Dr.Sana Javed; LHR TP 5199
    In this thesis stability analysis of the mathematical models for osteoporotic and osteomyelitic bone turnover is checked. The study of diseases in silico has been becoming very popular because of its rapid outcomes. This study is also beneficial from economical point of view. Several diseases have been investigated through mathematical modeling like cancer, chronic kidney diseases, liver disorders etc. Osteoporosis and osteomyelitis are very common bone disorders having different incident causes. Osteoporosis occurs due to several factors like age, estrogen deficiency or an imbalance in bone remodeling process, while osteomyelitis is caused by a bacterium called Staphylococcus aureus, a type of staph bacteria. We examined the expository signaling among the bone cells named as osteoclast and osteoblast. Main functioning of osteoblasts is bone formation while osteoclasts are bone removal cells. Mathematical frame works for both pathologies comprising of the communication between osteoclasts and osteoblasts have been presented to exhibit the conditions for stability in normal and dysregulated bone turnover. The percentage ratios of the population of osteoblast/osteoclast have been determined via numerical simulations. The remedial upshots of targeting both osteomyelitic and osteoporotic cells participating in such processes are examined. This work not only studies the dynamics of osteoporotic and osteomyelitic bone turnover but also exemplifies how therapeutic approaches might be inspected via such computational methodologies. This thesis is divided into five chapters. First chapter is about the introduction of bone biology, second chapter is comprised of the existing literature of different mathematical models of bone remodeling. Chapter 3 is based on our main results. Discussions, open problems and references are provided in chapter 4 and 5 respectively.
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