Analisis numerik model matematika sel darah merah menggunakan metode Euler
Abstract
The specific model dx(t)/dt=-γx(t)+(β_0-β_1 x(t-τ))x(t-τ) takes the spotlight in the late 1970s, intriguing the interest of researchers and mathematicians in modeling the field of hematology. This trend continues to evolve, affirming the crucial role of mathematical approaches in comprehending the hematopoiesis process. General and specific solutions of this equation are presented, providing insights into the mathematical changes of variable x(t). An analytic solution table depicts the variation of x(t) values over time, and numerical calculations using the Euler Method are employed for iterative solution estimation. This research confirms the significant role of mathematical approaches, particularly in modeling differential equations without delays, in understanding and explaining the comprehensive complexity of the blood cell cycle and hematopoiesis.
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