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From Equations to Insights: Navigating the Canvas of Tumor Growth Dynamics Jha, Anshuman; Sahani, Suresh Kumar; Jha, Aditya; Sahani, Kameshwar
MASALIQ Vol 3 No 6 (2023): NOVEMBER
Publisher : Lembaga Yasin AlSys

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58578/masaliq.v3i6.1983

Abstract

This report delves into the pivotal role that differential equations play in the modeling of dynamic systems, with a specific emphasis on their utility within the domain to tumor growth modeling. Differential equations furnish a quantitative framework for understanding the complex dynamics inherent in the growth of tumors, thereby empowering the formulation of predictions, possible treatment measures and prolonged prognostic outcomes. In this report we embark upon an exploration of the historical origin of these equations, their associated classifications, features and their extensive deployment in multiple disciplines such as physics, biology, economics and computer science, though the primary emphasis is on the domain of tumor growth. Through the medium of two hypothetical case studies, employing Gompertz and Logistic Growth models, this report vividly illustrates the indispensable role of differential equations in the realm of clinical decision-making, the planning of treatment measures and in building a stable foundation for future endeavors. It concurrently explores the advantages of employing differential equations within the framework of tumor growth modeling, underscoring their mathematical precision, predictive efficacy, quantitative insights and historical success. Nevertheless, the report remains forthright in acknowledging the limitations of these models, particularly their tendency for simplifications, the neglect of spatially distributed information and their disregard for Stochastic Effects.
Modeling Planetary and Stellar Motion Using Differential Equations Sharma, Pravesh; Sahani, Suresh Kumar; Sahani, Kameshwar; Sharma, Kritika
ARZUSIN Vol 3 No 6 (2023): DESEMBER
Publisher : Lembaga Yasin AlSys

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58578/arzusin.v3i6.1991

Abstract

The report aims to explore the application of differential equations in modeling the motion of planets and stars within our universe, serving as an introduction to the captivating realm of celestial mechanics. We utilize differential equations to represent the movement and positions of celestial bodies within a gravitational field, grounding our analysis in Newton's laws of motion and gravitation. Moreover, we employ Kepler's laws of planetary motion to elucidate the orbits of planets around the sun. It is important to note that this report offers a simplified perspective, designed for educational purposes. In reality, celestial mechanics can be exceedingly intricate, involving n-body problems, relativistic effects, and a multitude of other factors.
Unveiling the Power of Exponential Functions: Applications in Our Daily Lives Jha, Sagar; Sahani, Suresh Kumar; Sahani, Kameshwar
ARZUSIN Vol 4 No 3 (2024): JUNI
Publisher : Lembaga Yasin AlSys

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58578/arzusin.v4i3.2861

Abstract

In this research paper, we have obtained some new applications of exponential and logarithmic functions. This report deals all the validity of previous works. This work is motivated by the work of [1-12].
A Study and Examined of Exponential Function: A Journey of Its Applications in Real Life Sah, Kishan Kumar; Sahani, Suresh Kumar; Sahani, Kameshwar; Sah, Binod Kumar
Mikailalsys Journal of Advanced Engineering International Vol 1 No 1 (2024): Mikailalsys Journal of Advanced Engineering International
Publisher : Darul Yasin Al Sys

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58578/mjaei.v1i1.2791

Abstract

In this report, we have examined the real life applications of exponential function on the following topics: depreciation, population growth, bacterial growth, compound interest, population of one-horned rhino.
Study and Analysis of Education System in Nepal and Its Challenges Along with Its Solution Sah, Prince; Sah, Rabi; Sahani, Suresh Kumar; Sahani, Kameshwar
Mikailalsys Journal of Advanced Engineering International Vol 1 No 1 (2024): Mikailalsys Journal of Advanced Engineering International
Publisher : Darul Yasin Al Sys

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58578/mjaei.v1i1.2792

Abstract

This document represent the education system in Nepal and we also want to mention the challenges and its solution to improve the quality of education in Nepal. In this project work, we highlight the evolution and present status of Nepal The project begins with the concept of education, historical background and evolution of education in Nepal and it’s also include the structure of education system in Nepal. Furthermore, the project explores the challenges and its solution of education system in Nepal.
Study and Analysis of Some Practical Life Uses and Applications of Exponential Function Karn, Prashan; Sahani, Suresh Kumar; Sahani, Kameshwar
Mikailalsys Journal of Advanced Engineering International Vol 1 No 1 (2024): Mikailalsys Journal of Advanced Engineering International
Publisher : Darul Yasin Al Sys

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58578/mjaei.v1i1.2793

Abstract

We have sorted out some practical uses of exponential function that we are going to study in this report. The report is given more emphasis on real life use of Euler number i.e. e and also on the uses of other exponential function. The sorted out uses of exponential function is based on following topic: real value of money, bit coin value, household saving, production in a factory, and exploitation of forest. Later on, we have also focused on consequences of those problems and find its solution.
Some real Life Application of Derivatives in Economics Sah, Sarswati Kumari; Sahani, Suresh Kumar; Sahani, Kameshwar; Sharma, Dhiraj Kumar
Mikailalsys Journal of Advanced Engineering International Vol 1 No 2 (2024): Mikailalsys Journal of Advanced Engineering International
Publisher : Darul Yasin Al Sys

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58578/mjaei.v1i2.2954

Abstract

In this assignment, we addressed the usage of derivatives in several areas of economics, such as demand elasticity, cost minimization, and profit maximization. In addition, derivatives are used to calculate marginal revenue, marginal cost, and marginal product. This work is motivated by the work of [1-24].
Applications of Exponential Function in Our Real Lives Sah, Bikky; Mandal, Nitesh; Sahani, Suresh Kumar; Sahani, Kameshwar
International Journal of Humanities, Education, and Social Sciences Vol 2 No 2 (2024): International Journal of Humanities, Education, and Social Sciences
Publisher : Darul Yasin Al Sys

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58578/ijhess.v2i2.2872

Abstract

This project delves into the real-life applications of exponential functions, analysing their significance in various fields. Through a comprehensive study, this project aims to provide insights into the practical implications of exponential functions and their role in modelling natural phenomena. This work is motivated by the works of [1-15,22].
Analytical Frameworks: Differential Equations in Aerospace Engineering Sahani, Suresh Kumar; Sah, Aman kumar; Jha, Anshuman; Sahani, Kameshwar
ALSYSTECH Journal of Education Technology Vol 2 No 1 (2024): ALSYSTECH Journal of Education Technology
Publisher : Lembaga Yasin AlSys

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58578/alsystech.v2i1.2267

Abstract

This report explores the fundamental use of differential equations in understanding and modeling dynamic systems, tracing its roots for the contributions of mathematicians. Differential equations act as a basic platform for scientific and engineering research, providing insights into the dynamics of physical, and social systems. Their adaptability and associative applicability, especially in fields like environmental science and technology learning, highlight their main importance. The report dwells with specific applications in engineering, emphasizing their role in dynamic systems, control theory, and optimization. The definitions and types of differential equations are explained, showcasing their diverse characteristics. The historical evolution of differential equations, spanning centuries, underscores their continual refinement and application in various scientific disciplines. Moreover, the report presents hypothetical case studies illustrating the application of differential equations in the calculation of mass of fuel tank of rocket, time required by rocket to become triple its initial velocity. These examples showcase the practical utility of differential equations in enhancing precision and efficiency in space exploration. The advantages of application of differential equations in three-dimensional space are highlighted, emphasizing their role in realistic modeling, multidimensional dynamics, and scientific exploration. However, the report also contains certain drawback, such as increased complexity, computational intensity, and visualization challenges associated with three-dimensional systems. In conclusion, the study of differential equations remains vital for unraveling the complexities of the natural world and technological advancements, demonstrating their enduring significance in advancing human knowledge, healthcare, and innovation.
Mineral Additives in Concrete Durability: A Comprehensive Review Regmi, Khem Raj; Sahani, Kameshwar; Sahani, Suresh Kumar
Asian Journal of Science, Technology, Engineering, and Art Vol 1 No 2 (2023): Asian Journal of Science, Technology, Engineering, and Art
Publisher : Darul Yasin Al Sys

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58578/ajstea.v1i2.2112

Abstract

The body of literature on concrete using mineral admixtures covers a number of review studies on the durability characteristics of various materials used in concrete, such as fly ash (FA), rice husk ash (RHA), ground granular blast furnace slag (GGBS), fly ash (SF), and met kaolin (MK) are reviewed in this work. The features that are related to durability have been evaluated, and they include permeability, resistance to chloride ion penetrations, abrasion, fire resistance efflorescence. Incorporating mineral admixtures in concrete affects various properties. Concrete's permeability decreases and its ability to resist chloride ion penetration rises when admixtures containing a greater alumina content are used. Use of mineral admixtures enhances compressive strength and enhancing abrasion resistance. Moreover, highly reactive mineral admixtures mitigate efflorescence. Notably, while heating PFA concrete improves fire resistance, it reduces overall durability. SF concrete, on the other hand, behaves similarly to standard concrete but can be more brittle. MK concrete exhibits increased strength at 200°C, but its durability and strength decline at higher temperatures compared to other concrete types.RHA pozzolans can replace OPC up to 15% by weight after curing for up to 200 days without lowering the concrete's compressive strength.