Mathematical Modeling And Simulation Of Colorectal Cancer
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Mathematical Modeling And Simulation Of Colorectal Cancer
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Author : Manjeera Saripalli
language : en
Publisher:
Release Date : 2011
Mathematical Modeling And Simulation Of Colorectal Cancer written by Manjeera Saripalli and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with categories.
Understanding the cancer pathology and develop effective treatment strategies play significant roles in improving cancer survival rates. In this Thesis, evaluations of mathematical modeling and simulation were studied and presented. Colorectal system was investigated from gene and cell levels. The Hardware Descriptive Language (HDL) package and codes were developed to simulate the cancer models. Representative codes and figures were illustrated. Results suggest that the HDL is an effective method to conduct the modeling and simulation of cancers. It is essential to develop advanced technology such as HDL modeling and simulation to improve our understandings to fight cancer and save lives.
Selected Topics In Cancer Modeling
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Author : Nicola Bellomo
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-12-10
Selected Topics In Cancer Modeling written by Nicola Bellomo and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-12-10 with Mathematics categories.
This collection of selected chapters offers a comprehensive overview of state-of-the-art mathematical methods and tools for modeling and analyzing cancer phenomena. Topics covered include stochastic evolutionary models of cancer initiation and progression, tumor cords and their response to anticancer agents, and immune competition in tumor progression and prevention. The complexity of modeling living matter requires the development of new mathematical methods and ideas. This volume, written by first-rate researchers in the field of mathematical biology, is one of the first steps in that direction.
Mathematical Modeling Of Drug Resistance Due To Kras Mutation In Colorectal Cancer
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Author :
language : en
Publisher:
Release Date : 2016
Mathematical Modeling Of Drug Resistance Due To Kras Mutation In Colorectal Cancer written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with categories.
Sensitivity Analysis And Mathematical Modeling For Tailored Colon Cancer Treatment
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Author : Juan Villegas (Honors)
language : en
Publisher:
Release Date : 2021
Sensitivity Analysis And Mathematical Modeling For Tailored Colon Cancer Treatment written by Juan Villegas (Honors) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with categories.
Mathematical Modeling And Simulation In An Individual Cancer Cell Associated With Invadopodia Formation
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Author : Mohd. Ariff Admon
language : en
Publisher:
Release Date : 2015
Mathematical Modeling And Simulation In An Individual Cancer Cell Associated With Invadopodia Formation written by Mohd. Ariff Admon and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with categories.
A Study On Mathematical Models For The Effect Of Different Therapies And Combination Of Therapies In Cancer Treatments
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Author : Lalitha R
language : en
Publisher: Independent Author
Release Date : 2023-03-31
A Study On Mathematical Models For The Effect Of Different Therapies And Combination Of Therapies In Cancer Treatments written by Lalitha R and has been published by Independent Author this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-03-31 with categories.
Mathematical modeling is a great tool in the medical field. Mathematical models help to simulate the dynamics of complex systems. Dynamic models typically are represented by differential equations. Mathematical models are used everywhere in cancer research. The number of cancer cells in a tumor is not easy to calculate due to continuous changes in time. So may have to calculate with the help of differential equations easily. Challenge of mathematical modeling is to produce simplest possible model. Many of the researchers developed mathematical models that identify the most effective chemotherapeutic administration regimens using optimization and control techniques. In 1962 L.S. Pontryagin, etal. was developed the model for optimal control. A. Lotka and R. Fisher has been developed the mathematical theory life history evolution in 1970s. Panetta was developed an effective model for heterogeneous tumor and chemotherapeutic drug action in 1996. A.J.Coldman and J.M.Murray was developed the stochastic model of cancer treatment in 2000. L.G. de Pillis, etal. developed the system of ODE for variety of cancers and different treatments in between 2000 to 2013. In recent years so many authors developed them new models based on the above author's research. In recent years most of the people were affected by different types of cancer. Some type of cancer is the curable disease when we detect in early stage. Rare type of cancer is the not fully curable disease but to controls the tumor growth and gives assumption of survival for some years. There are different types of treatments are available according to their stage of the disease. Stages were defined from their tumor size and disease spreading position of their disease. Main treatments of cancers are Surgery, Chemotherapy, Radiation therapy, Immunotherapy, Gene therapy and Hormone therapy. Mathematical modeling of tumor dynamics and treatment responses can be applied to identify better drug administration regimes. Using mathematical model for tumor growth and cancer treatments we can reduce the tumor size. Now everyone must know about types of cancer and correct treatments for that. So select this area and developed the mathematical models for tumor dynamics and combinations of treatments. Collected the breast and colorectal cancer patient's details and fitted to our model then reduced the tumor burden. Also have find that which type of drug combinations are used for colorectal cancer and breast cancer treatments. Here we used Mathematical Tools are Differential Equation, Ordinary Differential Equation (ODE), Formulation of differential equation, Growth model, optimal control, Equilibrium and Stability Analysis in ODE.
Parameter Estimation And Sensitivity Analysis Through Mathematical Modeling Of Colon Cancer
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Author : Achyuth Manoj
language : en
Publisher:
Release Date : 2022
Parameter Estimation And Sensitivity Analysis Through Mathematical Modeling Of Colon Cancer written by Achyuth Manoj and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022 with categories.
Simulation And Modeling Methodologies Technologies And Applications
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Author : Mohammad S. Obaidat
language : en
Publisher: Springer
Release Date : 2017-10-26
Simulation And Modeling Methodologies Technologies And Applications written by Mohammad S. Obaidat and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-26 with Technology & Engineering categories.
This Proceedings book reports on new and innovative solutions regarding methodologies and applications of modeling and simulation. It includes a set of selected, extended papers from the 6th International Conference on Simulation and Modeling Methodologies, Technologies and Applications (SIMULTECH 2016), held in Lisbon, Portugal, from 29 to 31 July, 2016. The conference brought together researchers, engineers and practitioners interested in methodologies and applications of modeling and simulation. SIMULTECH 2016 received 76 submissions from 35 countries and all continents. After a double-blind paper review performed by the Program Committee, 18% were accepted as full papers and thus selected for oral presentations. Additional papers were accepted as short papers and posters. A further selection was made after the Conference, based also on the assessment of presentation quality and audience interest, so that this book includes the extended and revised versions of the very best papers from SIMULTECH 2016.
Mathematical Methods For Cancer Evolution
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Author : Takashi Suzuki
language : en
Publisher: Springer
Release Date : 2017-06-13
Mathematical Methods For Cancer Evolution written by Takashi Suzuki and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-06-13 with Mathematics categories.
The purpose of this monograph is to describe recent developments in mathematical modeling and mathematical analysis of certain problems arising from cell biology. Cancer cells and their growth via several stages are of particular interest. To describe these events, multi-scale models are applied, involving continuously distributed environment variables and several components related to particles. Hybrid simulations are also carried out, using discretization of environment variables and the Monte Carlo method for the principal particle variables. Rigorous mathematical foundations are the bases of these tools.The monograph is composed of four chapters. The first three chapters are concerned with modeling, while the last one is devoted to mathematical analysis. The first chapter deals with molecular dynamics occurring at the early stage of cancer invasion. A pathway network model based on a biological scenario is constructed, and then its mathematical structures are determined. In the second chapter mathematical modeling is introduced, overviewing several biological insights, using partial differential equations. Transport and gradient are the main factors, and several models are introduced including the Keller‒Segel systems. The third chapter treats the method of averaging to model the movement of particles, based on mean field theories, employing deterministic and stochastic approaches. Then appropriate parameters for stochastic simulations are examined. The segment model is finally proposed as an application. In the fourth chapter, thermodynamic features of these models and how these structures are applied in mathematical analysis are examined, that is, negative chemotaxis, parabolic systems with non-local term accounting for chemical reactions, mass-conservative reaction-diffusion systems, and competitive systems of chemotaxis. The monograph concludes with the method of the weak scaling limit applied to the Smoluchowski‒Poisson equation.
Mathematical Modeling And Computer Simulation Of The Aging Cancer Interface
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Author : University of Minnesota. Institute for Mathematics and Its Applications
language : en
Publisher:
Release Date : 1989
Mathematical Modeling And Computer Simulation Of The Aging Cancer Interface written by University of Minnesota. Institute for Mathematics and Its Applications and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with categories.