scholarly journals Choindroitinase ABC I-Mediated Enhancement of Oncolytic Virus Spread and Anti Tumor Efficacy: A Mathematical Model

PLoS ONE ◽  
2014 ◽  
Vol 9 (7) ◽  
pp. e102499 ◽  
Author(s):  
Yangjin Kim ◽  
Hyun Geun Lee ◽  
Nina Dmitrieva ◽  
Junseok Kim ◽  
Balveen Kaur ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Oncolytic Virus ◽  
Virus Spread

Locally temperature - driven mathematical model of West Nile virus spread in Germany

2020 ◽  
Vol 488 ◽  
pp. 110117
Author(s):  
Suman Bhowmick ◽  
Jörn Gethmann ◽  
Franz J. Conraths ◽  
Igor M. Sokolov ◽  
Hartmut H.K. Lentz
Keyword(s):  
Mathematical Model ◽  
West Nile Virus ◽  
Virus Spread ◽  
West Nile

scholarly journals Complex role of NK cells in regulation of oncolytic virus–bortezomib therapy

2018 ◽  
Vol 115 (19) ◽  
pp. 4927-4932 ◽  
Author(s):  
Yangjin Kim ◽  
Ji Young Yoo ◽  
Tae Jin Lee ◽  
Joseph Liu ◽  
Jianhua Yu ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Tumor Microenvironment ◽  
Nk Cells ◽  
Proteasome Inhibitor ◽  
Oncolytic Virus ◽  
In Vitro Experiments ◽  
Hematological Cancers

In the present work, we investigated the role of natural killer (NK) cells in combination therapy with oncolytic virus (OV) and bortezomib, a proteasome inhibitor. NK cells display rapid and potent immunity to metastatic and hematological cancers, and they overcome immunosuppressive effects of tumor microenvironment. We developed a mathematical model to address the question of how the density of NK cells affects the growth of the tumor. We found that the antitumor efficacy increases when the endogenous NKs are depleted and also when exogenous NK cells are injected into the tumor. These predictions were validated by our in vivo and in vitro experiments.

scholarly journals A numerical and analytical study of SE(Is)(Ih)AR epidemic fractional order COVID-19 model

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Hasib Khan ◽  
Razia Begum ◽  
Thabet Abdeljawad ◽  
M. Motawi Khashan
Keyword(s):  
Mathematical Model ◽  
Numerical Simulations ◽  
Fractional Order ◽  
Numerical Scheme ◽  
Analytical Study ◽  
Existence Results ◽  
Fractional Operator ◽  
Virus Spread ◽  
Fractional Order Derivative ◽  
The Given

AbstractThis article describes the corona virus spread in a population under certain assumptions with the help of a fractional order mathematical model. The fractional order derivative is the well-known fractal fractional operator. We have given the existence results and numerical simulations with the help of the given data in the literature. Our results show similar behavior as the classical order ones. This characteristic shows the applicability and usefulness of the derivative and our numerical scheme.

scholarly journals Chondroitinase ABC I–Mediated Enhancement of Oncolytic Virus Spread and Antitumor Efficacy

2010 ◽  
Vol 17 (6) ◽  
pp. 1362-1372 ◽  
Author(s):  
Nina Dmitrieva ◽  
Lianbo Yu ◽  
Mariano Viapiano ◽  
Timothy P. Cripe ◽  
E. Antonio Chiocca ◽  
...  
Keyword(s):  
Oncolytic Virus ◽  
Antitumor Efficacy ◽  
Virus Spread ◽  
Chondroitinase Abc

scholarly journals A New Fractional Model for Cancer Therapy with M1 Oncolytic Virus

Complexity ◽  
2021 ◽  
Vol 2021 ◽  
pp. 1-12
Author(s):  
Majda El Younoussi ◽  
Zakaria Hajhouji ◽  
Khalid Hattaf ◽  
Noura Yousfi
Keyword(s):  
Mathematical Model ◽  
Cancer Therapy ◽  
Fractional Differential Equations ◽  
Oncolytic Virus ◽  
Equilibrium Points ◽  
Well Posedness ◽  
Boundedness Of Solutions ◽  
Proposed Model ◽  
Fractional Differential ◽  
Theoretical Results

The aim of this work is to propose and analyze a new mathematical model formulated by fractional differential equations (FDEs) that describes the dynamics of oncolytic M1 virotherapy. The well-posedness of the proposed model is proved through existence, uniqueness, nonnegativity, and boundedness of solutions. Furthermore, we study all equilibrium points and conditions needed for their existence. We also analyze the global stability of these equilibrium points and investigate their instability conditions. Finally, we state some numerical simulations in order to exemplify our theoretical results.

scholarly journals Criteria for the description of the financial behavior model of households in the digitalization conditions

2021 ◽  
Vol 7 (3B) ◽  
pp. 57-67
Author(s):  
Nataliia Kholiavko ◽  
Olha Popelo ◽  
Maksym Dubyna ◽  
Olena Panchenko ◽  
Artem Tarasenko ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Financial Behavior ◽  
Model Description ◽  
Behavior Model ◽  
Virus Spread ◽  
Economic Space ◽  
Social Nature ◽  
Space Localization

The crisis caused by the COVID-19 pandemic has highlighted the need to update the criteria for describing the financial behavior of households. The purpose of the article is to substantiate the criteria for describing the financial behavior model of households in a specific period and in terms of the economic space localization of the regions. It is emphasized in the article that a set of criteria of the economic, psychological, demographic, sociological, and social nature should be used to describe the financial behavior model of households. It is substantiated that in the conditions of the COVID-19 virus spread, the criteria of the digitalization and localization of economic space of the regions should be added to the set of criteria for this model description. Prospects for further research determine the application of the criteria presented in the article in the economic-mathematical model of the description of the financial behavior transformation of households in terms of digitalization and spread of the COVID-19 virus.

scholarly journals Mathematical modeling of COVID-19 spread and stabilization in Madhya Pradesh, India: A fundamental approach

2021 ◽  
Author(s):  
Deepak Kumar ◽  
Vikash Kumar ◽  
Vijay Panchore ◽  
Ravi Kumar Mandava ◽  
Somnath Sarangi
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Model ◽  
Recovery Rate ◽  
Madhya Pradesh ◽  
The Other ◽  
Virus Spread ◽  
Good Recovery ◽  
Chain Breaking ◽  
Novel Model

Abstract The present study was performed to model a COVID-19 spread and stabilization constraints for the regional people of Madhya Pradesh, India, at the mid-time of the lockdown period. A novel mathematical model was developed to predict the number of days required to break the virus spread chain based on the chain breaking concept of the virus carriers. This model has predicted the very accurate COVID-19 results at a mid-time of the lockdown period. Unfortunately, a good recovery rate was not achieved in Madhya Pradesh as expected by the model to stop the chain of virus spread. Thus, this novel model failed to predict the COVID-19 spread for a large duration. Nevertheless, this novel model has much potential to model the other parallel situations similar to COVID-19 spread.

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