Model Matematika pada Proses Hematopoiesis dengan Perlambatan Proses Proliferasi
DOI:
https://doi.org/10.21776/ub.jkb.2014.028.02.11Abstract
Proses produksi sel darah (hematopoiesis) pada kondisi normal diformulasikan dalam bentuk sistem persamaan diferensial nonlinier dengan waktu perlambatan. Waktu perlambatan menunjukkan durasi atau waktu yang diperlukan sel punca berada pada fase proliferasi. Penelitian ini bertujuan untuk menganalisis model matematika pada proses  produksi sel darah meliputi analisis titik tetap dan perilaku populasi sel punca hematopoietik. Untuk mempelajari perilaku dinamik model, dilakukan dengan mempelajari persamaan karakteristik dari model tersebut. Hasil simulasi numerik menunjukkan bahwa untuk titik tetap nontrivial model mengalami osilasi. Osilasi pada model matematika proses hematopoiesis mengindikasikan bahwa hematopoiesis yang terjadi tidak stabil sehingga nantinya dapat diimplementasikan pada analisa adanya penyakit-penyakit yang mempengaruhi sel darah.
Kata Kunci: Hematopoiesis, osilasi, model matematika, waktu perlambatan
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