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Abstract
Severe Acute Respiratory Syndrome (SARS) Coronavirus infection in a human body indicated by cytokine response due to an inflammation. The purpose of this research is to construct and analyze a mathematical model of interaction between inflammatory pro-response and anti-response cytokine to predict the dynamic on inflammatory response system, so that the treatment can be optimized. The results obtained in this research describe some dynamics which happen on the cytokines, i.e. the disease-free equilibrium point is asymptotically stable when the basic reproduction number is less than one. In this condition, a patient with initial concentrations of the cytokines around the disease-free equilibrium point will be free of viral infection. The infection equilibrium point is asymptotically stable when the basic reproduction number is greater than one. In this condition, a patient with initial concentrations of the cytokines around the infection equilibrium point will be infected by the virus. Probability of a patient being free of viral infection can increase if the production rate of the cytokines are decreased or the degradation rate of the cytokines are increased.
Highlights
Coronavirus infection in a human body indicated by cytokine response
anti-response cytokine to predict the dynamic on inflammatory response system
The results obtained in this research describe some dynamics
Summary
Severe Acute Respiratory Syndrome (SARS) Coronavirus mengalami transmisi lintas spesies dari hewan ke manusia [9], [12]. Infeksi virus pada manusia meningkatkan konsentrasi sitokin yang merespon inflamasi sebagai faktor yang meningkatkan keganasan penyakit [4], [6], [15], [18], [21]. Interaksi dari dua kategori sitokin tersebut memiliki peran penting dalam respon imun inflamasi [19] untuk penyakit menular [7] dan penyakit kronis autoimun [13]. Pada artikel ini, dikonstruksi model matematika yang lebih sederhana, sehingga analisis kestabilan titik ekuilibrium model dapat dilakukan untuk mengetahui karaketeristik sistem respon inflamasi yang berupa prediksi dinamika sitokin pro-respon dan anti-respon inflamasi di sekitar titik ekuilibrium beserta syarat kejadiannya.
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