Papers by Rohana Vithanage
ASBIRAS 2023, 2024
In an ever-evolving banking landscape, understanding and effectively catering to the
diverse need... more In an ever-evolving banking landscape, understanding and effectively catering to the
diverse needs of merchants is paramount to maintaining a competitive edge. This project
report delves into the critical domain of merchant segmentation within the banking sector,
aiming to provide insights that enable financial institutions to enhance their merchantfocused
& customer-focused promotions. This study employs advanced data analytics and
machine learning techniques to analyze a comprehensive dataset encompassing a wide array
of merchant-related variables. Through a meticulous process, a classification segmentation
model is developed, dividing the merchant base into distinct and actionable segments. These
segments are defined not only by transactional behaviour but also by the Customer
demographic data such as Gender, Income, Customer Age and also the transaction related
data like Recency, Point and Merchant Category. The report presents a detailed analysis of
each identified segment, and leads to what are their expectations from their banking
partners. Additionally, it highlights the key drivers of merchant loyalty and satisfaction,
providing a strategic roadmap for banks to optimize their merchant-centric and customercentric
offerings. In conclusion, this project not only offers a comprehensive customer and
merchant segmentation framework but also provides actionable recommendations for
financial institutions in the banking sector. By tailoring their services to meet the distinct
requirements of each merchant segment, banks can foster stronger relationships, drive
profitability, and maintain their relevance in an increasingly competitive marketplace.
Mathematical Methods in the Applied Sciences
We propose and study a mathematical model governing interactions between cancer and immune system... more We propose and study a mathematical model governing interactions between cancer and immune system with an oncolytic viral therapy (OVT), wherein cancer cells can activate and inhibit immune cells simultaneously with saturations. When the therapy is not applied, it is shown that the interaction can support at most three hyperbolic positive equilibria where two of them are always asymptotically stable and the other is a saddle point. The reachable stable tumor burden can be either small or large depending on initial tumor size. We analyze the full model by proving global asymptotic stability of the virus-free equilibrium that corresponds to OVT failure. Sufficient conditions based on model parameters are derived under which the model is uniformly persistent. The proposed system is validated using a mouse model of human pancreatic cancer carried out by Koujima et al. Global sensitivity analysis indicates that the rates of tumor-mediated killing and immune cell exhaustion are critical for tumor progression and therapy success. Numerical bifurcation analysis reveals that the saddle point can be utilized to estimate the maximum tumor load for eradication by OVT. Moreover, an immunosuppressive microenvironment may enhance viral therapy efficacy
Wiley, 2023
We propose and study a mathematical model governing interactions between
cancer and immune system... more We propose and study a mathematical model governing interactions between
cancer and immune system with an oncolytic viral therapy (OVT), wherein cancer cells can activate and inhibit immune cells simultaneously with saturations.
When the therapy is not applied, it is shown that the interaction can support at
most three hyperbolic positive equilibria where two of them are always asymptotically stable and the other is a saddle point. The reachable stable tumor
burden can be either small or large depending on initial tumor size. We analyze
the full model by proving global asymptotic stability of the virus-free equilibrium that corresponds to OVT failure. Sufficient conditions based on model
parameters are derived under which the model is uniformly persistent. The proposed system is validated using a mouse model of human pancreatic cancer
carried out by Koujima et al. Global sensitivity analysis indicates that the rates
of tumor-mediated killing and immune cell exhaustion are critical for tumor
progression and therapy success. Numerical bifurcation analysis reveals that the
saddle point can be utilized to estimate the maximum tumor load for eradication by OVT. Moreover, an immunosuppressive microenvironment may enhance
viral therapy efficacy
WSEAS TRANSACTIONS ON BIOLOGY AND BIOMEDICINE
We investigate therapeutic effects of monotherapy of oncolytic viruses, of adopted cell transfer,... more We investigate therapeutic effects of monotherapy of oncolytic viruses, of adopted cell transfer, as well as the two combined therapies over a short time treatment period by applying optimal control techniques. The goal is to minimize the number of susceptible tumor cells and the costs associated with the therapy over the treatment period. We verify that there exists an optimal control pair and derive the necessary conditions. The optimality system is solved numerically to provide optimal protocols under different scenarios with respect to initial tumor sizes and parameter values. Although the two types of therapy do not work synergistically when the viral killing rate by immune cells is large, a small anti-viral killing can improve therapy success of either monotherapy of oncolytic viruses or combined therapy of oncolytic viruses and adopted T cell transfer. This finding can be accomplished either by manipulating certain genes of viruses via genetic engineering or by chemical modif...
We investigate therapeutic effects of monotherapy of oncolytic viruses, of adopted cell transfer,... more We investigate therapeutic effects of monotherapy of oncolytic viruses, of adopted cell transfer, as well as the two combined therapies over a short time treatment period by applying optimal control techniques. The goal is to minimize the number of susceptible tumor cells and the costs associated with the therapy over the treatment period. We verify that there exists an optimal control pair and derive the necessary conditions. The optimality system is solved numerically to provide optimal protocols under different scenarios with respect to initial tumor sizes and parameter values. Although the two types of therapy do not work synergistically when the viral killing rate by immune cells is large, a small anti-viral killing can improve therapy success of either monotherapy of oncolytic viruses or combined therapy of oncolytic viruses and adopted T cell transfer. This finding can be accomplished either by manipulating certain genes of viruses via genetic engineering or by chemical modification of viral coat proteins to avoid detection by the immune cells.
Fermat’s last theorem for n(> 2) can be stated thus: There are non-trivial integers x, y, z sa... more Fermat’s last theorem for n(> 2) can be stated thus: There are non-trivial integers x, y, z satisfying the equation z = y + x, (x, y) = 1, n > 2. Rearranging and relabeling the integers, we can assume without loss of generality that z, y. x > 0 .From the above equation, we obtain g = h + 1 where g = z x h = y x , g, h > 0. From this rational number equation, we obtain the following nature of d and the equations satisfied by d. (g − h)[g + gh + ⋯ ... ... . . +gh + h] = g − h = 1, and if g − h = d, we have g + gh + ⋯ ... ... . . +gh + h = 1 d > 0 , d > 0. Now, we obtain the equation in d.
In this thesis we study the expansion of the Universe with an acceleration epoch. Albert Einstei... more In this thesis we study the expansion of the Universe with an acceleration epoch. Albert Einstein predicted the Universe is expanding by introducing Field Equations. Edwin Hubble confirmed that result by observations of separation of galaxies in 20th century. In 1997 Saul Perlmutter showed that Universe is expanding with an acceleration by using supernova
observations. In certain epoch has opened the way search for new cosmological model that represent a Universe expanding with an acceleration. In order to find such models we introduced a variable Λ (cosmological parameter) and obtained two independent equations with four unknowns. As there are only two equations there is no unique solutions and we are at the liberty to try various solutions subjected to
certain boundary conditions.In this thesis we study a solution to illustrate a model for the Universe with inflation.
AIMS- Mathematical Biosciences and Engineering, 2021
A mathematical model of tumor-immune system interactions with an oncolytic virus therapy for whic... more A mathematical model of tumor-immune system interactions with an oncolytic virus therapy for which the immune system plays a twofold role against cancer cells is derived. The immune cells can kill cancer cells but can also eliminate viruses from the therapy. In addition, immune cells can either be stimulated to proliferate or be impaired to reduce their growth by tumor cells. It is shown that if the tumor killing rate by immune cells is above a critical value, the tumor can be eradicated for all sizes, where the critical killing rate depends on whether the immune system is immunosuppressive or proliferative. For a reduced tumor killing rate with an immunosuppressive immune system, that bistability exists in a large parameter space follows from our numerical bifurcation study. Depending on the tumor size, the tumor can either be eradicated or be reduced to a size less than its carrying capacity. However, reducing the viral killing rate by immune cells always increases the effectiveness of the viral therapy. This reduction may be achieved by manipulating certain genes of viruses via genetic engineering or by chemical modification of viral coat proteins to avoid detection by the immune cells.
Peradeniya University International Research Sessions, 2016
Wayamba University International conference, 2016
International Postgraduate Research Conference 2016 -University of Kelaniya, 2016
− ℎ −1 + 1 > 0 which is a quadratic expression in and the expression is positive and therefore th... more − ℎ −1 + 1 > 0 which is a quadratic expression in and the expression is positive and therefore the discrininant of it should be negative i.e 2 ℎ 2 −2 + 2 (− 1)ℎ −2 < 0. Which never holds and since ℎ > 0 and that the original Fermat equation is not satisfied by non trivial integer triples , , .
A cosmological model for the inflationary universe, 2016
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Papers by Rohana Vithanage
diverse needs of merchants is paramount to maintaining a competitive edge. This project
report delves into the critical domain of merchant segmentation within the banking sector,
aiming to provide insights that enable financial institutions to enhance their merchantfocused
& customer-focused promotions. This study employs advanced data analytics and
machine learning techniques to analyze a comprehensive dataset encompassing a wide array
of merchant-related variables. Through a meticulous process, a classification segmentation
model is developed, dividing the merchant base into distinct and actionable segments. These
segments are defined not only by transactional behaviour but also by the Customer
demographic data such as Gender, Income, Customer Age and also the transaction related
data like Recency, Point and Merchant Category. The report presents a detailed analysis of
each identified segment, and leads to what are their expectations from their banking
partners. Additionally, it highlights the key drivers of merchant loyalty and satisfaction,
providing a strategic roadmap for banks to optimize their merchant-centric and customercentric
offerings. In conclusion, this project not only offers a comprehensive customer and
merchant segmentation framework but also provides actionable recommendations for
financial institutions in the banking sector. By tailoring their services to meet the distinct
requirements of each merchant segment, banks can foster stronger relationships, drive
profitability, and maintain their relevance in an increasingly competitive marketplace.
cancer and immune system with an oncolytic viral therapy (OVT), wherein cancer cells can activate and inhibit immune cells simultaneously with saturations.
When the therapy is not applied, it is shown that the interaction can support at
most three hyperbolic positive equilibria where two of them are always asymptotically stable and the other is a saddle point. The reachable stable tumor
burden can be either small or large depending on initial tumor size. We analyze
the full model by proving global asymptotic stability of the virus-free equilibrium that corresponds to OVT failure. Sufficient conditions based on model
parameters are derived under which the model is uniformly persistent. The proposed system is validated using a mouse model of human pancreatic cancer
carried out by Koujima et al. Global sensitivity analysis indicates that the rates
of tumor-mediated killing and immune cell exhaustion are critical for tumor
progression and therapy success. Numerical bifurcation analysis reveals that the
saddle point can be utilized to estimate the maximum tumor load for eradication by OVT. Moreover, an immunosuppressive microenvironment may enhance
viral therapy efficacy
observations. In certain epoch has opened the way search for new cosmological model that represent a Universe expanding with an acceleration. In order to find such models we introduced a variable Λ (cosmological parameter) and obtained two independent equations with four unknowns. As there are only two equations there is no unique solutions and we are at the liberty to try various solutions subjected to
certain boundary conditions.In this thesis we study a solution to illustrate a model for the Universe with inflation.
diverse needs of merchants is paramount to maintaining a competitive edge. This project
report delves into the critical domain of merchant segmentation within the banking sector,
aiming to provide insights that enable financial institutions to enhance their merchantfocused
& customer-focused promotions. This study employs advanced data analytics and
machine learning techniques to analyze a comprehensive dataset encompassing a wide array
of merchant-related variables. Through a meticulous process, a classification segmentation
model is developed, dividing the merchant base into distinct and actionable segments. These
segments are defined not only by transactional behaviour but also by the Customer
demographic data such as Gender, Income, Customer Age and also the transaction related
data like Recency, Point and Merchant Category. The report presents a detailed analysis of
each identified segment, and leads to what are their expectations from their banking
partners. Additionally, it highlights the key drivers of merchant loyalty and satisfaction,
providing a strategic roadmap for banks to optimize their merchant-centric and customercentric
offerings. In conclusion, this project not only offers a comprehensive customer and
merchant segmentation framework but also provides actionable recommendations for
financial institutions in the banking sector. By tailoring their services to meet the distinct
requirements of each merchant segment, banks can foster stronger relationships, drive
profitability, and maintain their relevance in an increasingly competitive marketplace.
cancer and immune system with an oncolytic viral therapy (OVT), wherein cancer cells can activate and inhibit immune cells simultaneously with saturations.
When the therapy is not applied, it is shown that the interaction can support at
most three hyperbolic positive equilibria where two of them are always asymptotically stable and the other is a saddle point. The reachable stable tumor
burden can be either small or large depending on initial tumor size. We analyze
the full model by proving global asymptotic stability of the virus-free equilibrium that corresponds to OVT failure. Sufficient conditions based on model
parameters are derived under which the model is uniformly persistent. The proposed system is validated using a mouse model of human pancreatic cancer
carried out by Koujima et al. Global sensitivity analysis indicates that the rates
of tumor-mediated killing and immune cell exhaustion are critical for tumor
progression and therapy success. Numerical bifurcation analysis reveals that the
saddle point can be utilized to estimate the maximum tumor load for eradication by OVT. Moreover, an immunosuppressive microenvironment may enhance
viral therapy efficacy
observations. In certain epoch has opened the way search for new cosmological model that represent a Universe expanding with an acceleration. In order to find such models we introduced a variable Λ (cosmological parameter) and obtained two independent equations with four unknowns. As there are only two equations there is no unique solutions and we are at the liberty to try various solutions subjected to
certain boundary conditions.In this thesis we study a solution to illustrate a model for the Universe with inflation.