ODE PDE Analysis of Antibiotic Antimicrobial Resistance

Mathematical models for antibiotic/antimicrobial resistance based on ordinary and partial differential equations (ODE/PDEs) are presented in this book, starting with a basic ODE model in Chapter 1, and concluding with a detailed PDE model in Chapters 4 and 5 that gives the spatiotemporal distribution of four dependent variable components: (1) susceptible bacteria population density, (2) resistant bacteria population density, (3) plasmid number, and (4) antibiotic concentration. The computer-based implementation of the example models is presented through routines coded (programmed) in R, a quality, open-source scientific computing system that is readily available from the Internet. Formal mathematics is minimized, e.g., no theorems and proofs. Rather, the presentation is through detailed examples that the reader/researcher/analyst can execute on modest computers. The PDE analysis is based on the method of lines (MOL), an established general algorithm for PDEs, implemented with finite differences. The routines are available from a download link so that the example models can be executed without having to first study numerical methods and computer coding. The routines can then be applied to variations and extensions of the antibiotic/antimicrobial models, such as changes in the ODE/PDE parameters (constants) and the form of the model equations. Includes PDE routines based on the method of lines (MOL) for computer-based implementation of PDE models Offers transportable computer source codes for readers in R, with line-by-line code descriptions as it relates to the mathematical model and algorithms Authored by a leading researcher and educator in PDE models

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  • Author : William E. Schiesser
  • Publisher : Academic Press
  • Pages : 122 pages
  • ISBN : 0128242507
  • Rating : 4/5 from 21 reviews
CLICK HERE TO GET THIS BOOKODE PDE Analysis of Antibiotic Antimicrobial Resistance

ODE/PDE Analysis of Antibiotic/Antimicrobial Resistance

ODE/PDE Analysis of Antibiotic/Antimicrobial Resistance
  • Author : William E. Schiesser
  • Publisher : Academic Press
  • Release : 24 August 2020
GET THIS BOOKODE/PDE Analysis of Antibiotic/Antimicrobial Resistance

Mathematical models for antibiotic/antimicrobial resistance based on ordinary and partial differential equations (ODE/PDEs) are presented in this book, starting with a basic ODE model in Chapter 1, and concluding with a detailed PDE model in Chapters 4 and 5 that gives the spatiotemporal distribution of four dependent variable components: (1) susceptible bacteria population density, (2) resistant bacteria population density, (3) plasmid number, and (4) antibiotic concentration. The computer-based implementation of the example models is presented through routines coded (programmed) in R, a quality, open-source scientific

Systems Medicine

Systems Medicine
  • Author : Anonim
  • Publisher : Academic Press
  • Release : 24 August 2020
GET THIS BOOKSystems Medicine

Technological advances in generated molecular and cell biological data are transforming biomedical research. Sequencing, multi-omics and imaging technologies are likely to have deep impact on the future of medical practice. In parallel to technological developments, methodologies to gather, integrate, visualize and analyze heterogeneous and large-scale data sets are needed to develop new approaches for diagnosis, prognosis and therapy. Systems Medicine: Integrative, Qualitative and Computational Approaches is an innovative, interdisciplinary and integrative approach that extends the concept of systems biology and

Applications of Dynamical Systems in Biology and Medicine

Applications of Dynamical Systems in Biology and Medicine
  • Author : Trachette Jackson,Ami Radunskaya
  • Publisher : Springer
  • Release : 06 July 2015
GET THIS BOOKApplications of Dynamical Systems in Biology and Medicine

This volume highlights problems from a range of biological and medical applications that can be interpreted as questions about system behavior or control. Topics include drug resistance in cancer and malaria, biological fluid dynamics, auto-regulation in the kidney, anti-coagulation therapy, evolutionary diversification and photo-transduction. Mathematical techniques used to describe and investigate these biological and medical problems include ordinary, partial and stochastic differentiation equations, hybrid discrete-continuous approaches, as well as 2 and 3D numerical simulation.

The Individual Microbe: Single-Cell Analysis and Agent-Based Modelling

The Individual Microbe: Single-Cell Analysis and Agent-Based Modelling
  • Author : Johan H. J. Leveau,Ferdi L. Hellweger,Jan-Ulrich Kreft,Clara Prats,Weiwen Zhang
  • Publisher : Frontiers Media SA
  • Release : 19 February 2019
GET THIS BOOKThe Individual Microbe: Single-Cell Analysis and Agent-Based Modelling

Recent technological advances in single-cell microbiology, using flow cytometry, microfluidics, x-ray fluorescence microprobes, and single-cell -omics, allow for the observation of individuals within populations. Simultaneously, individual-based models (or more generally agent-based models) allow for individual microbes to be simulated. Bridging these techniques forms the foundation of individual-based ecology of microbes (µIBE). µIBE has elucidated genetic and phenotypic heterogeneity that has important consequences for a number of human interests, including antibiotic or biocide resistance, the productivity and stability of industrial fermentations,

Dictionary of Pharmaceutical Medicine

Dictionary of Pharmaceutical Medicine
  • Author : Gerhard Nahler
  • Publisher : Springer Science & Business Media
  • Release : 29 June 2013
GET THIS BOOKDictionary of Pharmaceutical Medicine

This dictionary is aimed primarily at the beginners entering the new discipline of Pharmaceutical Medicine, an area comprising aspects of toxicology, pharmacology, pharmaceutics, epidemiology, statistics, drug regulatory and legal affairs, medicine and marketing. But also more experienced colleagues in departments engaged in clinical development as well as researchers and marketing experts in the pharmaceutical industry will find concise and up-to-date information. The book is completed by a list of a about 1000 abbreviations encountered in pharmaceutical medicine and a compilation of

ODE/PDE Analysis of Multiple Myeloma

ODE/PDE Analysis of Multiple Myeloma
  • Author : William E. Schiesser
  • Publisher : CRC Press
  • Release : 28 May 2020
GET THIS BOOKODE/PDE Analysis of Multiple Myeloma

Multiple myeloma is a form of bone cancer. Specifically, it is a cancer of the plasma cells found in bone marrow (bone soft tissue). Normal plasma cells are an important part of the immune system. Mathematical models for multiple myeloma based on ordinary and partial differential equations (ODE/PDEs) are presented in this book, starting with a basic ODE model in Chapter 1, and concluding with a detailed ODE/PDE model in Chapter 4 that gives the spatiotemporal distribution of four dependent

Differential Equations

Differential Equations
  • Author : Bruce P. Conrad
  • Publisher : Unknown Publisher
  • Release : 16 June 2021
GET THIS BOOKDifferential Equations

Written for beginners, this well organized introduction promotes a solid understanding of differential equations that is flexible enough to meet the needs of many different disciplines. With less emphasis on formal calculation than found in other books all the basic methods are covered—first order equations, separation, exact form, and linear equations—as well as higher order cases, linear equation with constant and variable coefficients, Laplace transform methods, and boundary value problems. The book's systems focus induces an intuitive understanding

Spatiotemporal Modeling of Influenza

Spatiotemporal Modeling of Influenza
  • Author : William E. Schiesser
  • Publisher : Morgan & Claypool Publishers
  • Release : 06 May 2019
GET THIS BOOKSpatiotemporal Modeling of Influenza

This book has a two-fold purpose: An introduction to the computer-based modeling of influenza, a continuing major worldwide communicable disease. The use of (1) as an illustration of a methodology for the computer-based modeling of communicable diseases. For the purposes of (1) and (2), a basic influenza model is formulated as a system of partial differential equations (PDEs) that define the spatiotemporal evolution of four populations: susceptibles, untreated and treated infecteds, and recovereds. The requirements of a well-posed PDE model are considered, including

New and Future Developments in Microbial Biotechnology and Bioengineering

New and Future Developments in Microbial Biotechnology and Bioengineering
  • Author : Vijai G. Gupta,Anita Pandey
  • Publisher : Elsevier
  • Release : 15 June 2019
GET THIS BOOKNew and Future Developments in Microbial Biotechnology and Bioengineering

New and Future Developments in Microbial Biotechnology and Bioengineering: Microbial Secondary Metabolites Biochemistry and Applications examines the areas of biotechnology and chemical engineering, covering aspects of plants, bacteria and machines, and using microbes as factories. The book is aimed at undergraduates, post-graduates and researchers studying microbial secondary metabolites, and is an invaluable reference source for biochemical engineers working in biotechnology, manipulating microbes, and developing new uses for bacteria and fungi. The applications of secondary metabolites in biotechnology, pharmaceuticals, diagnostics and

Mathematical Modeling in Systems Biology

Mathematical Modeling in Systems Biology
  • Author : Brian P. Ingalls
  • Publisher : MIT Press
  • Release : 05 July 2013
GET THIS BOOKMathematical Modeling in Systems Biology

An introduction to the mathematical concepts and techniques needed for the construction and analysis of models in molecular systems biology. Systems techniques are integral to current research in molecular cell biology, and system-level investigations are often accompanied by mathematical models. These models serve as working hypotheses: they help us to understand and predict the behavior of complex systems. This book offers an introduction to mathematical concepts and techniques needed for the construction and interpretation of models in molecular systems biology.

Handbook of African Medicinal Plants, Second Edition

Handbook of African Medicinal Plants, Second Edition
  • Author : Maurice M. Iwu
  • Publisher : CRC Press
  • Release : 04 February 2014
GET THIS BOOKHandbook of African Medicinal Plants, Second Edition

With over 50,000 distinct species in sub-Saharan Africa alone, the African continent is endowed with an enormous wealth of plant resources. While more than 25 percent of known species have been used for several centuries in traditional African medicine for the prevention and treatment of diseases, Africa remains a minor player in the global natural products market largely due to lack of practical information. This updated and expanded second edition of the Handbook of African Medicinal Plants provides a comprehensive review of

The British Chess Magazine; Volume 16

The British Chess Magazine; Volume 16
  • Author : Anonymous
  • Publisher : Franklin Classics Trade Press
  • Release : 18 October 2018
GET THIS BOOKThe British Chess Magazine; Volume 16

This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to

Theoretical and Applied Aspects of Systems Biology

Theoretical and Applied Aspects of Systems Biology
  • Author : Fabricio Alves Barbosa da Silva,Nicolas Carels,Floriano Paes Silva Junior
  • Publisher : Springer
  • Release : 21 June 2018
GET THIS BOOKTheoretical and Applied Aspects of Systems Biology

This book presents the theoretical foundations of Systems Biology, as well as its application in studies on human hosts, pathogens and associated diseases. This book presents several chapters written by renowned experts in the field. Some topics discussed in depth in this book include: computational modeling of multiresistant bacteria, systems biology of cancer, systems immunology, networks in systems biology.