Interdisciplinary applications of mathematics in healthcare systems
*Vasundhara V. GhorpadeCorresponding authordrvasundharaghorpade@gmail.comDepartment of Community MedicineKrishna Institute of Medical SciencesKrishna Vishwa Vidyapeeth (Deemed to be University)Karad, Maharashtra, 415539, IndiaView full profile → , Suhas Guptasuhas.gupta.orp@chitkara.edu.inCentre for Research Impact and Outcome (CRIO)Chitkara UniversityRajpura, Punjab, 140401, IndiaView full profile → , Chinmay Chandrakarchinmay@rungta.orgDepartment of Computer Science and EngineeringRungta College of Engineering and TechnologyRungta International Skills UniversityBhilai, Chhattisgarh, 490024, IndiaView full profile → , Subramanian Karthickkarthick.sb@vit.eduDepartment of Computer EngineeringVishwakarma Institute of TechnologyPune, Maharashtra, 411037, IndiaView full profile → , Vinay Shivajirao Nalawadevinaynalawade2007@gmail.comDepartment of Artificial Intelligence & Data Science EngineeringS B Patil College of EngineeringIndapur, Maharashtra, 413106, IndiaView full profile → , Kumel K. Nagoriexam@gokuluniversity.ac.inFaculty of EngineeringGokul Global UniversitySidhpur, Gujarat, 384151, IndiaView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 01 Apr 2026
- Published Online:
- 27 Oct 2026
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JIM-2827
- Pages:
- 3161–3172
Abstract
In the contemporary healthcare landscape, mathematics is integral, offering systematic solutions and frameworks for modeling biological processes, analyzing clinical data, optimizing treatment strategies, and informing medical decision-making. This study looks at interdisciplinary uses of mathematical tools in healthcare systems with particular emphasis on mathematical modelling, differential equations, dynamical systems, physiological modelling, pharmacokinetics and healthcare data analytics. Mathematical models are used to capture cardiovascular and physiological processes, and used to quantitatively analyse their complex interactions and disease progression. Differential equations can be used in simulation of time-dependent clinical condition, and pharmacokinetic modeling is helpful in estimating the dosages of effective drugs and planning a therapy. In addition, mathematical optimization, probability and statistical analysis are used to improve the management of resources in healthcare and clinical decision making.
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References
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