Svetlana Bunimovich-Mendrazitsky

Svetlana Bunimovich-Mendrazitsky
Ariel University · Department of Mathematics

PhD

About

50
Publications
7,795
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566
Citations
Additional affiliations
September 2009 - January 2017
Ariel University
Position
  • Lecturer

Publications

Publications (50)
Article
We present a theoretical study of bladder cancer treatment with Bacillus Calmette-Guerin (BCG) and interleukin 2 (IL-2) using a system biology approach to translate the treatment process into a mathematical model. We investigated the influence of IL-2 on effector cell proliferation, presented as a distributed feedback control in integral form. The...
Article
This study presents a framework whereby cancer chemotherapy could be improved through collaboration between mathematicians and experimentalists. Following on from our recently published model, we use A20 murine leukemic cells transfected with monomeric red fluorescent proteins cells (mCherry) to compare the simulated and experimental cytotoxicity o...
Article
Full-text available
Background One of the most prevalent complications of Partial Nephrectomy (PN) is Acute Kidney Injury (AKI), which could have a negative impact on subsequent renal function and occurs in up to 24.3% of patients undergoing PN. The aim of this study was to predict the occurrence of AKI following PN using preoperative parameters by applying machine le...
Article
Full-text available
Multi-strain pandemics have emerged as a major concern. We introduce a new model for assessing the connection between multi-strain pandemics and mortality rate, basic reproduction number, and maximum infected individuals. The proposed model provides a general mathematical approach for representing multi-strain pandemics, generalizing for an arbitra...
Chapter
Full-text available
Bacillus Calmette–Guérin (BCG) immunotherapy has shown significant success for bladder cancer treatment, but due to the lack of personalization, it does not fulfill its full promise as the interaction between immunity and cancer varies significantly between patients and results in extremely different clinical outcomes. As personalized treatment dev...
Preprint
Full-text available
Pandemics with multi-strain have become a major concern. We introduce a new model for assessing the connection between multi-strain pandemic and the mortality rate, basic reproduction number, and the maximum of infected individuals. The proposed model provides a general mathematical approach for representing multi-strain pandemics, generalizing for...
Article
Full-text available
Chlorambucil (Chl), Melphalan (Mel), and Cytarabine (Cyt) are recognized drugs used in the chemotherapy of patients with advanced Chronic Lymphocytic Leukemia (CLL). The optimal treatment schedule and timing of Chl, Mel, and Cyt administration remains unknown and has traditionally been decided empirically and independently of preclinical in vitro e...
Preprint
Full-text available
This work introduces a model of immunotherapy treatment, namely the Bacillus Calmette-Guerin (BCG) vaccine, of type 1 diabetes (T1D). The model takes into consideration a clinically relevant interaction network between multiple immune cells and compartments. A set of ordinary differential equations (ODEs) is introduced to capture the connectivity b...
Article
Full-text available
Many researchers have tried to predict the impact of the COVID-19 outbreak on morbidity, in order to help policy-makers find optimal isolation policies. However, despite the development and use of many models and sophisticated tools, these forecasting attempts have largely failed. We present a model that considers the severity of the disease and th...
Preprint
Background : One of the most devastating complications of Partial Nephrectomy (PN) is Acute Kidney Injury (AKI), which could have a negative impact on subsequent renal function and occurs in up to 24.3\% of patients undergoing PN. The aim of this study was to predict the occurrence of AKI following PN using preoperative parameters by applying machi...
Article
Full-text available
We present a new analytical method to find the asymptotic stable equilibria states based on the Markov chain technique. We reveal this method on the Susceptible-Infectious-Recovered (SIR)-type epidemiological model that we developed for viral diseases with long-term immunity memory. This is a large-scale model containing 15 nonlinear ordinary diffe...
Article
Full-text available
We have developed an extended mathematical graph-based spatial-temporal SIR model, allowing a multidimensional analysis of the impact of non-pharmaceutical interventions on the pandemic spread, while assessing the economic losses caused by it. By incorporating into the model dynamics that are a consequence of the interrelationship between the pande...
Preprint
We present a new analytical method to find the asymptotic stable equilibria states based on the Markov chain technique. We reveal this method on the SIR-type epidemiological model that we developed for viral diseases with long-term immunity memory pandemic. This is a large-scale model containing 15 nonlinear ODE equations, and classical methods hav...
Article
Full-text available
We analyze a mathematical model for the treatment of chronic myeloid leukemia (CML). The model is designed for complete recovery of CML patients after treatment. The model developed in the paper [Bunimovich-Mendrazitsky S, Kronik N, Vainstein V, Optimization of interferon-alpha and imatinib combination therapy for CML: A modeling approach, Adv Theo...
Article
Full-text available
The new COVID‐19 pandemic has challenged policymakers on key issues. Most countries have adopted “lockdown” policies to reduce the spatial spread of COVID‐19, but they have damaged the economic and moral fabric of society. Mathematical modeling in non‐pharmaceutical intervention policy management has proven to be a major weapon in this fight due to...
Article
BCG immunotherapy has shown significant success for bladder cancer treatment, but due to the complexity of the interaction between immunity and cancer, clinical outcomes vary significantly between patients. A possible approach to overcome this difficulty may be to develop new methodologies for personally predicting the results of therapy by integra...
Article
Full-text available
Most cases of deaths from colorectal cancer (CRC) result from metastases, which are often still undetectable at disease detection time. Even so, in many cases, shedding is assumed to have taken place before that time. The dynamics of metastasis formation and growth are not well-established. This work aims to explore CRC lung metastasis growth rate...
Preprint
Full-text available
We use a system biology approach to translate the interaction of Bacillus Calmette-Gurin (BCG) + interleukin 2 (IL-2) for the treatment of bladder cancer into a mathematical model. The model is presented as a system of differential equations with the following variables: number of tumor cells, bacterial cells, immune cells, and cytokines involved i...
Article
Full-text available
We use a system biology approach to translate the interaction of Bacillus Calmette-Gurin (BCG) + interleukin 2 (IL-2) for the treatment of bladder cancer into a mathematical model. The main goal of this research is to predict the outcome of BCG + IL-2 treatment. combinations. We examined whether the delay effect caused by the proliferation of tumor...
Preprint
Full-text available
Background The coronavirus disease 2019 (COVID-19) first identified in China, spreads rapidly across the globe and is considered the fastest moving pandemic in history. The new disease has challenged policymakers and scientists on key issues such as the magnitude of the first-time problem, the susceptibility of the population, the severity of the d...
Article
Treatment of breast cancer (positive for HER2, i.e., ERBB2) is described by a mathematical model involving non-linear ordinary differential equations with a hidden hierarchy. To reveal the hierarchy of dynamical variables of the system being considered, we applied the singular perturbed vector field (SPVF) method, where a system of equations can be...
Article
Full-text available
Colorectal cancer (CRC) is one of the most common causes of cancer-related mortality worldwide. Most cases of deaths result from metastases, assumed to be shed, in many cases, before disease detection. Providing reliable predictions of the metastases' growth pattern may help planning treatment. Available mathematical tumor growth models rely mainly...
Article
Full-text available
Immunotherapy with bacillus Calmette–Guérin (BCG) is a classic treatment for superficial bladder cancer. Although BCG instillation is a well-established protocol, some patients do not respond to this treatment. To model improvement of this protocol, Bunimovich-Mendrazitsky (B-M) et al. provided a platform for in silico testing of modified protocols...
Article
Full-text available
In this study, we apply the method of singularly perturbed vector field (SPVF) and its application to the problem of bladder cancer treatment that takes into account the combination of Bacillus CalmetteGurin vaccine (BCG) and interleukin (IL)-2 immunotherapy (IL - 2). The model is presented with a hidden hierarchy of time scale of the dynamical var...
Article
Full-text available
We present a revised mathematical model of the immune response to Bacillus Calmette-Guérin (BCG) treatment of bladder cancer, optimized according to biological and clinical data accumulated during the last decade. The improved model accounts for cytotoxic T lymphocyte differentiation as an integral element of the delayed immune response, as well as...
Article
Full-text available
Imatinib is a highly effective treatment for chronic myeloid leukemia, a common type of leukemia. Treatment efficacy of imatinib has been further improved by combination therapy with exogenic cytokine interferon-\(\alpha \). However, the prolonged administration of drug and immunotherapy exacts a significant cost to the patient’s quality of life, d...
Article
Understanding the global interaction dynamics between tumor and the immune system plays a key role in the advancement of cancer therapy. Bunimovich-Mendrazitsky et al. (2015) developed a mathematical model for the study of the immune system response to combined therapy for bladder cancer with Bacillus Calmette-Gu�erin (BCG) and interleukin-2 (IL-2)...
Article
Full-text available
Understanding the global interaction dynamics between tumor and the immune system plays a key role in the advancement of cancer therapy. Bunimovich-Mendrazitsky et al. (2015) developed a mathematical model for the study of the immune system response to combined therapy for bladder can- cer with Bacillus Calmette-Gufferin (BCG) and interleukin-2 (IL...
Conference Paper
Full-text available
The method of stability investigation under stochastic perturbations of mathematical models of various types of epidemics, in particular, of the model of social obesity epidemic, was successfully used for investigation of cancer models. In this work the model of bladder cancer is investigated. Bladder cancer (BC) is 7th most common cancer (the 4th...
Article
Methods: We conducted a critical evaluation of PubMed/Medline and SciFinder databases related to muscle-invasive bladder cancer (MIBC) covering the period 2009-2015. The free-text search was extended by adding the following keywords and phrases: bladder cancer, metastatic, muscle-invasive, basal, luminal, epithelial-to-mesenchymal transition, canc...
Article
Full-text available
Intravesical Bacillus Calmette–Guerin (BCG) vaccine is the preferred first line treatment for non-muscle invasive bladder carcinoma (NMIBC) in order to prevent recurrence and progression of cancer. There is ongoing need for the rational selection of i) BCG dose, ii) frequency of BCG administration along with iii) synergistic adjuvant therapy and iv...
Article
Full-text available
One of the treatments offered to non-invasive bladder cancer patients is BCG instillations, using a well-established, time-honoured protocol. Some of the patients, however, do not respond to this protocol. To examine possible changes in the protocol, we provide a platform for in silico testing of alternative protocols for BCG instillations and comb...
Article
Full-text available
We present a mathematical model of dynamic changes in clinical parameters following drug therapy for chronic myeloid leukemia (CML) using a system of ordinary differential equations (ODE), describing the interactions between effector T cells and leukemic cancer cells. The model successfully predicts clinical response to two separate drug therapies:...
Article
This work deals with retrospective reconstruction of the individual natural history of solid cancer and assessment of the effects of treatment on metastatic progression. This is achieved through a mathematical model of cancer progression accounting for the growth of the primary tumor, shedding of metastases, their dormancy and growth at secondary s...
Article
Urinary bladder carcinoma also known as {\it Bladder Cancer} (BC) is the seventh most common cancer worldwide. According to existing statistics, 80% of BC patients had occupational exposure to chemical carcinogens (rubber, dye, textile, or plant industry) or/and were smokingregularly during long periods of time. The carcinogens from the bladder lum...
Article
Full-text available
Bladder cancer is the seventh most common cancer worldwide. Epidemiological studies and experiments implicated chemical penetration into urothelium (epithelial tissue surrounding bladder) in the etiology of bladder cancer. In this work we model invasive bladder cancer. This type of cancer starts in the urothelium and progresses towards surrounding...
Article
Full-text available
In this paper, we propose and analyze a mathematical model for the treatment of chronic myelogenous (myeloid) leukemia (CML), a cancer of the blood. Our main focus is on the combined treatment of CML based on imatinib therapy and immunotherapy. Treatment with imatinib is a molecular targeted therapy that inhibits the cells involved in the chronic C...
Article
Full-text available
Bladder Cancer (BC) is the seventh most common cancer world-wide. Etiology of BC is well known. According to existing statistics, 80% of BC patients had occupational exposure to chemical carcinogens (rubber, dye, textile, or plant industry) or/and were smoking regularly during long periods of time. The carcinogens from the bladder lumen affect umbr...
Article
Full-text available
Understanding the dynamics of human hosts and tumors is of critical importance. A mathematical model was developed by Bunimovich-Mendrazitsky et al., who explored the immune response in bladder cancer as an effect of BCG treatment. This treatment exploits the host's own immune system to boost a response that will enable the host to rid itself of th...
Article
We report a mathematical model that describes the growth of superficial bladder cancer and the effect thereupon of immunotherapy based on the administration of Bacillus Calmette-Guerin (BCG) combined or not with interleukin-2 (IL-2). Intravesical instillations of BCG performed after surgical removal of tumors represents an established treatment wit...
Article
Full-text available
The quasi-normal form technique and the reduction principle are applied to the stability analysis of equilibrium points of a mathematical model of BCG treatment for bladder cancer developed by the first author et al. [Bull. Math. Biol. 69, No. 6, 1847–1870 (2007; Zbl 05265714)]. Second-degree terms of the quasi-normal form of the model are calculat...
Article
Full-text available
We present a theoretical study of superficial bladder cancer growth and its treatment via pulsed immunotherapy with Bacillus Calmette-Guérin (BCG), an attenuated strain of Mycobacterium bovis. BCG pulsed immunotherapy is a clinically established procedure for the treatment of superficial bladder cancer. In this paper, periodic BCG instillations are...
Article
Full-text available
Immunotherapy with Bacillus Calmette-Guérin (BCG)-an attenuated strain of Mycobacterium bovis (M. bovis) used for anti tuberculosis immunization-is a clinically established procedure for the treatment of superficial bladder cancer. However, the mode of action has not yet been fully elucidated, despite much extensive biological experience. The purpo...
Article
Poliomyelitis is a disease which began to appear in epidemic proportions in the late 19th century, paradoxically, just at the time when living conditions and developments in health were transforming enormously for the better. We present a simple age-class model that explains this "disease of development" as a threshold phenomenon. Epidemics arise w...

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