DINAMIKA GLOBAL SEL INDUK HEMATOPOIETIK DAN SEL DIFERENSIASI PADA MODEL LEUKEMIA MIELOID KRONIK (LMK)
In this thesis, we consider a mathematical model describing the dynamics of normal and leukemic hematopoietic stam cells and differentiated cells in bone marrow. We focus on a chronic myeloid leukemia, a cancer of blood cells resulting from a malignant transformation of hematopoietic stem cells. Hom...
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| Format: | Thesis |
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[Yogyakarta] : Universitas Gadjah Mada
2013
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| author | , Rapmaida Megawaty Pangaribuan, S.Si , Dr. Faiar Adi Kusumo. M.Si. |
| author_facet | , Rapmaida Megawaty Pangaribuan, S.Si , Dr. Faiar Adi Kusumo. M.Si. |
| author_sort | , Rapmaida Megawaty Pangaribuan, S.Si |
| collection | UGM |
| description | In this thesis, we consider a mathematical model describing the dynamics of
normal and leukemic hematopoietic stam cells and differentiated cells in bone
marrow. We focus on a chronic myeloid leukemia, a cancer of blood cells
resulting from a malignant transformation of hematopoietic stem cells.
Homeostatis regulates the proliferation of normal hematopoietic stem cells and
leads the dynamics to an equilibrium. This mechanism is partially efficient for
leukemic cells. We define homeostatis by a functional of either hematopoietic
stem cells, differentiated cells or both cells line.
We determine the equilibrium points for each scenario, and each scenario
provides three equilibrium points, there are the chronic equilibrium, the blastic
equilibrium and the non-pathological equilibrium. Then we analyse the stability of
the equilibrium points. We prove that normal and leukemic cells can not coexist
for a long time. Numerical simulations is given to illustrate the stability of the
equilibrium points. |
| first_indexed | 2024-03-13T22:48:32Z |
| format | Thesis |
| id | oai:generic.eprints.org:119071 |
| institution | Universiti Gadjah Mada |
| last_indexed | 2024-03-13T22:48:32Z |
| publishDate | 2013 |
| publisher | [Yogyakarta] : Universitas Gadjah Mada |
| record_format | dspace |
| spelling | oai:generic.eprints.org:1190712016-03-04T08:42:45Z https://repository.ugm.ac.id/119071/ DINAMIKA GLOBAL SEL INDUK HEMATOPOIETIK DAN SEL DIFERENSIASI PADA MODEL LEUKEMIA MIELOID KRONIK (LMK) , Rapmaida Megawaty Pangaribuan, S.Si , Dr. Faiar Adi Kusumo. M.Si. ETD In this thesis, we consider a mathematical model describing the dynamics of normal and leukemic hematopoietic stam cells and differentiated cells in bone marrow. We focus on a chronic myeloid leukemia, a cancer of blood cells resulting from a malignant transformation of hematopoietic stem cells. Homeostatis regulates the proliferation of normal hematopoietic stem cells and leads the dynamics to an equilibrium. This mechanism is partially efficient for leukemic cells. We define homeostatis by a functional of either hematopoietic stem cells, differentiated cells or both cells line. We determine the equilibrium points for each scenario, and each scenario provides three equilibrium points, there are the chronic equilibrium, the blastic equilibrium and the non-pathological equilibrium. Then we analyse the stability of the equilibrium points. We prove that normal and leukemic cells can not coexist for a long time. Numerical simulations is given to illustrate the stability of the equilibrium points. [Yogyakarta] : Universitas Gadjah Mada 2013 Thesis NonPeerReviewed , Rapmaida Megawaty Pangaribuan, S.Si and , Dr. Faiar Adi Kusumo. M.Si. (2013) DINAMIKA GLOBAL SEL INDUK HEMATOPOIETIK DAN SEL DIFERENSIASI PADA MODEL LEUKEMIA MIELOID KRONIK (LMK). UNSPECIFIED thesis, UNSPECIFIED. http://etd.ugm.ac.id/index.php?mod=penelitian_detail&sub=PenelitianDetail&act=view&typ=html&buku_id=59062 |
| spellingShingle | ETD , Rapmaida Megawaty Pangaribuan, S.Si , Dr. Faiar Adi Kusumo. M.Si. DINAMIKA GLOBAL SEL INDUK HEMATOPOIETIK DAN SEL DIFERENSIASI PADA MODEL LEUKEMIA MIELOID KRONIK (LMK) |
| title | DINAMIKA GLOBAL SEL INDUK HEMATOPOIETIK DAN SEL
DIFERENSIASI PADA MODEL LEUKEMIA MIELOID KRONIK
(LMK) |
| title_full | DINAMIKA GLOBAL SEL INDUK HEMATOPOIETIK DAN SEL
DIFERENSIASI PADA MODEL LEUKEMIA MIELOID KRONIK
(LMK) |
| title_fullStr | DINAMIKA GLOBAL SEL INDUK HEMATOPOIETIK DAN SEL
DIFERENSIASI PADA MODEL LEUKEMIA MIELOID KRONIK
(LMK) |
| title_full_unstemmed | DINAMIKA GLOBAL SEL INDUK HEMATOPOIETIK DAN SEL
DIFERENSIASI PADA MODEL LEUKEMIA MIELOID KRONIK
(LMK) |
| title_short | DINAMIKA GLOBAL SEL INDUK HEMATOPOIETIK DAN SEL
DIFERENSIASI PADA MODEL LEUKEMIA MIELOID KRONIK
(LMK) |
| title_sort | dinamika global sel induk hematopoietik dan sel diferensiasi pada model leukemia mieloid kronik lmk |
| topic | ETD |
| work_keys_str_mv | AT rapmaidamegawatypangaribuanssi dinamikaglobalselindukhematopoietikdanseldiferensiasipadamodelleukemiamieloidkroniklmk AT drfaiaradikusumomsi dinamikaglobalselindukhematopoietikdanseldiferensiasipadamodelleukemiamieloidkroniklmk |