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Mathematical Models for Therapeutic Approaches to Control Psoriasis de Priti Kumar Roy

Mathematical Models for Therapeutic Approaches to Control Psoriasis: SpringerBriefs in Applied Sciences and Technology

Autor Priti Kumar Roy, Abhirup Datta
en Limba Engleză Paperback – 30 iul 2019

Recomandăm acest volum ca referință de specialitate pentru nivelul de master și doctorat, fiind o incursiune riguroasă în biomatematică. Lucrarea Mathematical Models for Therapeutic Approaches to Control Psoriasis se concentrează pe utilizarea aparatului matematic complex pentru a înțelege și controla patogeneza psoriazisului, o boală autoimună cu o dinamică celulară complexă. Autorii, Priti Kumar Roy și Abhirup Datta, structurează materialul în zece capitole care evoluează de la modelele de bază ale plăcii imunopatogene către abordări avansate de ordin fracționar.

Considerăm că punctul forte al cărții rezidă în analiza detaliată a mecanismelor de control, precum feedback-ul negativ cu efect de întârziere în creșterea keratinocitelor. Spre deosebire de Applications of Dynamical Systems in Biology and Medicine, care oferă o panoramă largă asupra diverselor patologii (cancer, malarie), volumul de față este o monografie nișată pe interacțiunea specifică dintre celulele dendritice și celulele CD8+ T. Această abordare completează perspectiva oferită de Fractional Calculus in Medical and Health Science, adăugând studii de caz concrete despre eficacitatea medicamentelor Ciclosporină și FK506 în reglarea sistemului psoriazic.

Structura este logică și progresivă, debutând cu modele bazate pe ecuații diferențiale ordinare și culminând cu ultimele trei capitole dedicate abordărilor fracționare. Autorul Priti Kumar Roy își continuă aici direcția de cercetare stabilită în lucrarea anterioară, Mathematical Models for Therapeutic Approaches to Control HIV Disease Transmission, aplicând expertiza sa în modelarea bolilor infecțioase și autoimune pentru a propune strategii de optimizare a tratamentului. Textul este dens, matematic, dar extrem de bine ancorat în realitatea clinică a bolii.

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Specificații

ISBN-13: 9789811390197
ISBN-10: 9811390193
Pagini: 83
Ilustrații: XVII, 89 p. 33 illus., 29 illus. in color.
Dimensiuni: 155 x 235 mm
Greutate: 0.17 kg
Ediția:1st ed. 2019
Editura: Springer Nature Singapore
Colecția Springer
Seriile SpringerBriefs in Applied Sciences and Technology, SpringerBriefs in Mathematical Methods

Locul publicării:Singapore, Singapore

De ce să citești această carte

Această lucrare este esențială pentru cercetătorii din matematica aplicată și bioinformatică dornici să înțeleagă patologiile autoimune prin prisma ecuațiilor diferențiale. Cititorul câștigă o metodologie clară pentru modelarea proliferării keratinocitelor și evaluarea teoretică a tratamentelor farmacologice. Este un instrument valoros pentru cei care doresc să aplice calculul fracționar în sănătatea publică și epidemiologie.

Despre autor

Priti Kumar Roy este un cercetător recunoscut în domeniul matematicii aplicate, cu un interes profund pentru modelarea matematică a sistemelor biologice și medicale. Opera sa se concentrează pe dinamica bolilor complexe, de la HIV/SIDA la afecțiuni autoimune precum psoriazisul. A editat volume de referință, precum Mathematical Analysis and Applications in Modeling, și contribuie activ la literatura academică prin studii ce utilizează ecuații diferențiale și strategii de control optimal pentru a îmbunătăți protocoalele terapeutice globale.

Descriere scurtă

This book discusses several mathematical models highlighting the disease dynamics of psoriasis and its control. It explains the control of keratinocyte concentration through a negative feedback mechanism and the effect of including a realistic time delay in that system. The effect of cytokine release is described in a mathematical model of psoriasis and further elucidated in two different mathematical pathways: the ordinary differential equation model system, and the fractional-order differential equation model system. The book also identifies the role of CD8+ T-cells in psoriasis by investigating the interaction between dendritic cells and CD8+ T-cells. Presenting an approach to control the fractional-order system to prevent excess production of keratinocyte cell population, the book is intended for researchers and scientists in the field of applied mathematics, health informatics, applied statistics and qualitative public health, as well as bio-mathematicians interested in the mathematical modeling of autoimmune diseases like psoriasis.

Cuprins

Chapter 1. Introduction.- Chapter 2. Basic MathematicalModel on Immunopathogenic Plaque of Psoriasis.- Chapter 3.Release of Cytokine and Its Control during the Formation of Psoariasis.- Chapter 4. Regulating Growth of Keratinocytes through Feedback Mechanism with Delay Effect in Psoriatic System.- Chapter 5. Control of Psoriatic System for logistic T-Cell Proliferation.- Chapter 6. Incidental Effect of Half-Saturation on the Psoriatic Pathogenesis.- Chapter 7. Inhibition of Excessive Keratinocyte Growth in Psoriasis using Drugs Cyclosporin and FK506.- Chapter 8. Fractional Approach of the Formation of Psoriasis during Release of Cytokines.- Chapter 9. Fractional Approach for Incidental Effect of Half-Saturation on the Psoriatic Pathogenesis.- Chapter 10. Fractional Approach for the Inhibition of Excessive Keratinocyte Growth in Psoriasis using Drugs Cyclosporin and FK506.

Notă biografică

PRITI KUMAR ROY is Professor at the Department of Mathematics, Jadavpur University, India. His areas of research are nonlinear system dynamics and mathematical modeling, primarily in infectious diseases like HIV, cutaneous leishmaniasis, filariasis and autoimmune disease like psoriasis. He also researches enzyme kinetics, industrial mathematics in the production of biodiesel from jatrophacurcas plant and its oil production optimization. He has published over 110 peer-reviewed papers in several respected journals. He is the author of Mathematical Models for Therapeutic Approaches to Control HIV Disease Transmission  (Springer) and has edited the book Insight and Control of Infectious Disease in a Global Scenario. Professor Roy is an eminent member of various national and international societies like the Biomathematical Society of India, International Association of Engineers, European Society of Clinical Microbiology and Infectious Diseases and European Society for Mathematical and Theoretical Biology. He was the first person in India to supervise research on mathematical models of psoriasis.
Professor Roy received the Best Paper Award at the World Congress on Engineering 2010, held in London, UK, as well as the Shiksha Ratan Award from the Government of West Bengal in 2012. He was the principal investigator for seven research projects sponsored by the Government of India. His DST-RFBR project with the Moscow State University was selected in 2018. He was the recipient of a Royal Society Fellowship and a Poland Academy of Science Fellowship, and was sponsored by The Royal Society of Edinburgh under the INSA-Royal Society Bilateral Exchange Program at the University of Strathclyde, Scotland, UK, and the Poland Academy of Science under the INSA-PAS Bilateral Exchange Program at the University of Warsaw, Poland. He received the Open Arms award at the International Congress of Mathematics (ICM) 2018, Brazil. He is a permanent Visiting Professor at Beijing Technology and Business University, China. Professor Roy has delivered invited lectures at over 45 overseas universities and institutes across Europe, Asia, and America and numerous lectures at several Indian universities.

ABHIRUP DATTA is Assistant Professor at the Department of Mathematics, Netaji Satabarshiki Mahavidyalaya, West Bengal, India. He was awarded a Junior Research Fellow by the CSIR, India, and completed his Ph.D. under the guidance of Professor Priti Kumar Roy at the Department of Mathematics, Jadavpur University, in 2016. Dr Datta is the first researcher in India to be awarded a Ph.D. degree on the topic of mathematical modeling of psoriasis. He has published more than 20 research articles in various leading international journals, and he has attended and delivered lectures at more than 20 national and international conferences and at prestigious universities and institutes in India.

Caracteristici

Discusses several mathematical models highlighting the disease dynamics of psoriasis and its control Approaches psoriasis from a cell-biological perspective Creates a bridge between mathematics and biology, focusing on cell-biological features in humans Analyzes the impact of the mathematical model formulation to describe a biological rather than a cell-biological (human) phenomenon Sheds new light on how mathematics can help better control the disease