LEADER 04421nam 22006135 450 001 9910350245403321 005 20200704090315.0 010 $a981-13-9020-7 024 7 $a10.1007/978-981-13-9020-3 035 $a(CKB)4100000008876950 035 $a(MiAaPQ)EBC5831089 035 $a(DE-He213)978-981-13-9020-3 035 $a(PPN)238489930 035 $a(EXLCZ)994100000008876950 100 $a20190718d2019 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aMathematical Models for Therapeutic Approaches to Control Psoriasis /$fby Priti Kumar Roy, Abhirup Datta 205 $a1st ed. 2019. 210 1$aSingapore :$cSpringer Singapore :$cImprint: Springer,$d2019. 215 $a1 online resource (100 pages) 225 1 $aSpringerBriefs in Mathematical Methods,$x2365-0826 311 $a981-13-9019-3 327 $aChapter 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. 330 $aThis book discusses several mathematical models highlighting the disease dynamics of psoriasis and its control. It explains the control of keratinocyte concentration through a negative feedback mechanism and the effect of including a realistic time delay in that system. The effect of cytokine release is described in a mathematical model of psoriasis and further elucidated in two different mathematical pathways: the ordinary differential equation model system, and the fractional-order differential equation model system. The book also identifies the role of CD8+ T-cells in psoriasis by investigating the interaction between dendritic cells and CD8+ T-cells. Presenting an approach to control the fractional-order system to prevent excess production of keratinocyte cell population, the book is intended for researchers and scientists in the field of applied mathematics, health informatics, applied statistics and qualitative public health, as well as bio-mathematicians interested in the mathematical modeling of autoimmune diseases like psoriasis. 410 0$aSpringerBriefs in Mathematical Methods,$x2365-0826 606 $aBiomathematics 606 $aMathematical models 606 $aApplied mathematics 606 $aEngineering mathematics 606 $aHealth promotion 606 $aMathematical and Computational Biology$3https://scigraph.springernature.com/ontologies/product-market-codes/M31000 606 $aMathematical Modeling and Industrial Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M14068 606 $aApplications of Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M13003 606 $aHealth Promotion and Disease Prevention$3https://scigraph.springernature.com/ontologies/product-market-codes/H27010 615 0$aBiomathematics. 615 0$aMathematical models. 615 0$aApplied mathematics. 615 0$aEngineering mathematics. 615 0$aHealth promotion. 615 14$aMathematical and Computational Biology. 615 24$aMathematical Modeling and Industrial Mathematics. 615 24$aApplications of Mathematics. 615 24$aHealth Promotion and Disease Prevention. 676 $a511.8 700 $aRoy$b Priti Kumar$4aut$4http://id.loc.gov/vocabulary/relators/aut$0755743 702 $aDatta$b Abhirup$4aut$4http://id.loc.gov/vocabulary/relators/aut 906 $aBOOK 912 $a9910350245403321 996 $aMathematical Models for Therapeutic Approaches to Control Psoriasis$92507543 997 $aUNINA