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All Journal MASALIQ: Jurnal Pendidikan dan Sains ALSYSTECH Journal of Education Technology Mikailalsys Journal of Mathematics and Statistics
Jha, Anshuman
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Religion Computer Science & IT Education Electrical & Electronics Engineering Engineering Materials Science & Nanotechnology Mathematics Mechanical Engineering Social Sciences

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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.
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.
Business Insights Unveiled: A Journey through Linear Programming Problems Jha, Aditya; Sahani, Suresh Kumar; Jha, Anshuman; Sahani, Kameshwar
Mikailalsys Journal of Mathematics and Statistics Vol 1 No 1 (2023): Mikailalsys Journal of Mathematics and Statistics
Publisher : Darul Yasin Al Sys

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58578/mjms.v1i1.1948

Abstract

This project delves into the world of linear programming problems (LPP), a powerful optimization technique. It delves into the historical background, key features, fundamental assumptions, and wide-ranging applications of LPP. It also explores two hypothetical case studies: one in investment portfolio optimization and the other in advertisement budget allocation. LPP serves as a guiding light in making strategic investment decisions by maximizing returns and minimizing risks. In the context of advertising, it enables efficient budget allocation to reach the maximum audience and achieve the highest impact within constraints. The project emphasizes how LP simplifies complex decision-making processes, highlighting its practicality and relevance across diverse sectors. In essence, linear programming emerges as an indispensable tool for informed, data-driven decision-making, much like a skilled navigator guiding a ship through challenging waters toward its destination.
Co-Authors Jha, Aditya Sah, Aman kumar Sahani, Kameshwar Sahani, Suresh Kumar