Mathematical Methods in Medical and Biological Sciences.

Format:

Book

Author/Creator:

Singh, Harendra.

Contributor:

Srivastava, Hari M.

Series:

Advanced Studies in Complex Systems Series

Language:

English

Subjects (All):

Biomathematics.

Computational biology.

Physical Description:

1 online resource (324 pages)

Edition:

1st ed.

Place of Publication:

[S.l.] : MORGAN KAUFMANN PUBLISHER, 2024.

Chantilly : Elsevier Science & Technology, 2024.

Summary:

This book explores advanced mathematical methods and their applications in medical and biological sciences. It covers diverse topics such as fractional calculus, mathematical modeling of infectious diseases including COVID-19 and monkeypox, cancer dynamics, bone modeling, and chaotic biological systems. The book emphasizes theoretical analysis, numerical simulations, and modern computational approaches to tackle complex problems in health and biology. Edited by Harendra Singh and Hari M. Srivastava, it serves as a resource for researchers, practitioners, and students in applied mathematics, computational biology, and medical sciences. The contributors provide insights into the latest advancements in mathematical tools and techniques with applications to real-world scenarios, including epidemic control, pattern formation, and stability analysis. Generated by AI.

Contents:

Front Cover

Mathematical Methods in Medical and Biological Sciences

Copyright

Contents

Contributors

1 Mathematical tools and techniques in the applied scientific disciplines

1.1 Introduction, motivation, and definitions

1.2 The Fox–Wright-type hypergeometric function and associated families of higher transcendental functions

1.3 Fractional-calculus operators with Eα,β(ϕ;z,s,κ) as the kernel

1.4 Fractional-order modeling and analysis of initial-value problems

1.5 General hybrid-type families of fractional-order kinetic equations

1.6 Corollaries and consequences of Theorems 1.1, 1.2, and 1.3

1.7 Miscellaneous applications developed in recent years

1.8 Concluding remarks and observations

References

2 Fractional and fractal extensions of epidemiological models

2.1 Introduction

2.2 Non-integer calculus

2.2.1 Fractional operators

2.2.2 Fractal operator

2.3 Epidemiological models

2.3.1 Susceptible-infected (SI) model

2.3.1.1 SI standard model

2.3.1.2 SI fractional model

2.3.1.3 SI fractal model

2.3.1.4 Application of the SI model

2.3.2 Susceptible-infected-susceptible (SIS) model

2.3.2.1 SIS standard model

2.3.2.2 SIS fractional model

2.3.2.3 SIS fractal model Generated by AI.

Notes:

Description based on publisher supplied metadata and other sources.

Part of the metadata in this record was created by AI, based on the text of the resource.

ISBN:

9780443288159

0443288151

OCLC:

1467877155