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Elly Susanti
Universitas Islam Negeri Maulana Malik Ibrahim Malang, Indonesia
Mathematics

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Dinamika Model Matematika Reaksi T-Helper Chilvia Tribhuana; Usman Pagalay; Elly Susanti
Jurnal Riset Mahasiswa Matematika Vol 1, No 5 (2022): Jurnal Riset Mahasiswa Matematika
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (381.607 KB) | DOI: 10.18860/jrmm.v1i5.14477

Abstract

T cells are a major component of the human immune system. These T cells have a number that varies depending on the body's immune response when fighting bacteria or viruses. However, the condition of excess immune cells in the body can also be dangerous. Theoretical studies on the dynamics of T-Helper cells in the body are needed to get the right simulation in treating patients without conducting medical tests on every patient on a daily basis. This study discusses the dynamics of the mathematical model of the T-Helper reaction with the influence of antigen and IL-2. From this study, two equilibrium points were obtained, namely disease-free equilibrium and endemic equilibrium. The use of parameter values from the experimental results shows that the disease-free equilibrium point is locally unstable, while the endemic equilibrium point is locally stable. The numerical simulation showed that the antigen increased from 1st day to the highest value at 0.926 on the 11th day until on the 20th day it started to be constant towards at the value  which is the antigen could be activate the resting T-Helper. The process of activating T-Helper, create IL-2 which can stimulating the proliferation and activity of T-Helper cells, so they can divide the activated cell of T-Helper into two memory cells.
Pengamanan Pesan Menggunakan Algoritma One Time Pad dengan Linear Congruential Generator sebagai Pembangkit Kunci Jamilatul Maghfiroh; Turmudi Turmudi; Elly Susanti
Jurnal Riset Mahasiswa Matematika Vol 2, No 3 (2023): Jurnal Riset Mahasiswa Matematika
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/jrmm.v2i3.16770

Abstract

Cryptography is one method that can be used to secure a message by hiding the original text. This study uses the One Time Pad (OTP) algorithm to secure a message and the Linear Congruential Generator (LCG) algorithm as a key generator. The purpose of this study is to describe the key generation process using the LCG algorithm, the encryption and decryption process of messages using the OTP algorithm. The process of encrypting and decrypting messages using the OTP algorithm requires a key as long as the original message and must be random. Therefore, a random number generation process is carried out using the LCG algorithm before encoding the message. The results of this study are the LCG algorithm is able to build dynamic keys with the condition that the length of the period must be greater than or equal to the length of the plaintext. The process of encoding messages using the OTP algorithm has a high level of security because the number of characters used is more and the process of sending messages is easier. The resulting ciphertext is a very random and unreadable message that is difficult to decipher.
Co-Authors Chilvia Tribhuana Jamilatul Maghfiroh Turmudi, Turmudi Usman Pagalay