A 10-year-old girl presented with a complaint of recurrent abdominal pain. Physical examination findings were unremarkable. Laboratory investigations revealed BUN of 17 mg/dl and creatinine of 1 mg/dl, and complement levels were normal. She had neither hematuria nor proteinuria, and glomerular filtration rate was 60.9 ml/min/1.73 m(2). ANA, anti-DNA, p-ANCA and c-ANCA were all negative. Renal biopsy revealed findings of class III lupus nephritis in light, "full-house" nephropathy in immune fluorescent and tubuloreticular inclusions in electron microscopic examinations. After 17 months of treatment, her last creatinine is 2.5 mg/dl and GFR is 17.9 ml/min/1.73 m(2) and ANA and anti-DNA remain still negative. This case presents an example that decreased GFR can be the first presenting symptom of full-house nephropathy. Those patients who have negative lupus serology and renal biopsy findings of full-house nephropathy and tubuloreticular inclusions may behave and should be treated as lupus nephritis.
In this study, the infection process in infectious individual is mathematically modeled by using a system of fractional order differential equations with multiple-orders. Qualitative analysis of the model was done. To mathematically examine the effects of Pseudomonas Aeruginosa and Mycobacterium tuberculosis and their treatment methods, the results of the proposed model are compared with numerical simulations with the help of datas obtained from the literature.
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