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  1. Karim B. Yaacob
    In the theory of the confluent hypergeometric differential equation, Laguerre polynomials Lnm(x), satisfy the equation xy" + (m+l-x)y' + (n-m)y=0, for non-negative integers of n ≥ m, including zero. When n are non-integers, the solutions to the equation are not polynomials, but infinite series that is difficult to evaluate in closed from. A new method is introduced whereby it is possible to generate a table of Laguerre polynomials (for integer n) and Laguerre functions (for non-integer n) through evaluation of one common integral equation. The method uses the Bateman and the Yaacob-Bateman equations as new tools of solution to the radial Schroedinger equation for the hydrogen atom.
    Mengikut teori persamaan perbezaan hipergeometrik konfluen, polinomial Laguerre Lnm(x), memenuhi persamaan xy" + (m+l-x)y' + (n-m)y=0, untuk kesemua nombor genap positif n ≥ m, termasuk sifar. Di dalam keadaan n bukan nombor genap, penyelesaian kepada persamaan Laguerre bukan berbentuk polinomial, tetapi suatu siri tak terhingga yang sukar untuk disimpulkan di dalam bentuk fungsi tertutup. Suatu kaedah baru dikenali di mana jadual polinomial Laguerre (n nombor genap) dan fungsi Laguerre (n bukan nombor genap) dapat diterbitkan melalui penyelesaian kepada persamaan kamiran. Kaedah ini menggunakan teknik novel melalui penyelesaian kepada persamaan Bateman dan persamaan Yaacob-Bateman untuk mendapat penyelesaian kepada persamaan jejari Schroedinger untuk atom hidrogen.
  2. Karim B, Alwi I, Pasaribu MM, Nafrialdi, Yamin M, Harimurti K, et al.
    Med J Malaysia, 2024 Mar;79(2):146-150.
    PMID: 38553918
    INTRODUCTION: ST-segment elevation myocardial infarction (STEMI) is a fatal disease with significant burden worldwide. Despite advanced medical treatment performed, STEMIrelated morbidity and mortality remains high due to ischemia reperfusion injury after primary angioplasty mediated by NLRP3 inflammasome. Adding colchicine expected to reduce inflammation both in vitro and in vivo. We want to evaluate the effect of colchicine administration on the NLRP3 level of STEMI patient who undergo primary cutaneous intervention (PCI).

    MATERIALS AND METHODS: Randomised controlled trial was conducted on STEMI patients who undergo PCI in two hospitals in Jakarta, 104 patients enrolled to this study, and 77 patients completed the trial. 37 patients were randomly assigned to receive colchicines (2 mg loading dose; 0.5 mg thereafter every 12 hour for 48 hours) while 40 patients received placebo. NLRP3 level was measured from venous blood at baseline (BL), after procedure (AP), dan 24-hour post procedure (24H).

    RESULTS: No NLRP3 difference was observed initially between colchicine arm and placebo arm 38,69 and 39,0138, respectively (p >0.05). Measurement conducted at 24H, patients received colchicine demonstrate reduction in NLRP3 level (37.67), while placebo arm results increase in NLRP3 level (42.89) despite not statistically significant (p >0,05).

    CONCLUSION: Colchicine addition to standard treatment of STEMI patients undergo PCI reduce NLRP3 level despite statistically insignificant.

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