Kateřina Staňková

Kateřina Staňková
Delft University of Technology | TU · Transport and Logistics Section

Dr.

About

63
Publications
10,395
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469
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Introduction
I am an associate professor and Delft Technology Fellow at Faculty of Technology, Policy and Management at Delft University of Technology. I develop and analyze dynamic games that I subsequently apply in modeling, analyzing and controling of complex real-world systems. Currently I am mostly working on game theory of cancer and its treatment, developing Stackelberg evolutionary game theory to design evolutionary therapies for metastatic cancers. See more about my research on www.stankova.net.

Publications

Publications (63)
Article
Classical mathematical models of tumor growth have shaped our understanding of cancer and have broad practical implications for treatment scheduling and dosage. However, even the simplest textbook models have been barely validated in real world-data of human patients. In this study, we fitted a range of differential equation models to tumor volume...
Preprint
Game theory is a powerful theory to model strategic decision-making, but also complex biological systems, such as cancer. In the past decades, game-theoretical models have helped to understand cancer, its response to various treatments, and to design better therapies. However, to fully utilize the potential of game-theoretical modelling in designin...
Article
Full-text available
We propose a model of cancer initiation and progression where tumor growth is modulated by an evolutionary coordination game. Evolutionary games of cancer are widely used to model frequency-dependent cell interactions with the most studied games being the Prisoner’s Dilemma and public goods games. Coordination games, by their more obscure and less...
Preprint
In this paper, a large dataset of 590 Non-Small Cell Lung Patients treated with either chemotherapy or immunotherapy was used to determine whether a game-theoretic model including both evolution of therapy resistance and cost of resistance provides a better fit than classical mathematical models of population growth (exponential, logistic, classic...
Preprint
Full-text available
Here we analyze Darwinian dynamics of cancer introduced in [1], extended by including a competition matrix, and evaluate (i) when the eco-evolutionary equilibrium is positive and (ii) when the eco-evolutionary equilibrium is asymptotically stable.
Preprint
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We extend a two-step lottery model of Craft et al. to test the hypothesis that oak trees pursue a form of within-flower female choice to increase the diversity of fathers. Oak trees produce six ovules per flower while maturing just one acorn. When assuming a random ovule selection - which is a natural assumption in the absence of other hypotheses -...
Preprint
Full-text available
Classical mathematical models of tumor growth have shaped our understanding of cancer and have broad practical implications for treatment scheduling and dosage. However, even the simplest textbook models have been barely validated in real world-data of human patients. In this study, we fitted a range of differential equation models to tumor volume...
Preprint
Full-text available
Prostate-specific antigen (PSA) is the most common serum marker for prostate cancer. It is used to detect prostate cancer, to assess responses to treatment and recently even to determine when to switch treatment on and off in adaptive therapy protocols. However, the correlation between PSA and tumor volume is poorly understood. Moreover, even thoug...
Article
Membrane binding and unbinding dynamics play a crucial role in the biological activity of several non-integral membrane proteins, which have to be recruited to the membrane in order to perform their functions. By localizing to the membrane, these proteins are able to induce downstream signal amplification in their respective signaling pathways. Her...
Article
Full-text available
Evolutionary game theory mathematically conceptualizes and analyzes biological interactions where one’s fitness not only depends on one’s own traits, but also on the traits of others. Typically, the individuals are not overtly rational and do not select, but rather inherit their traits. Cancer can be framed as such an evolutionary game, as it is co...
Article
Full-text available
Rapid evolution is ubiquitous in nature. We briefly review some of this quite broadly, particularly in the context of response to anthropogenic disturbances. Nowhere is this more evident, replicated and accessible to study than in cancer. Curiously cancer has been late - relative to fisheries, antibiotic resistance, pest management and evolution in...
Preprint
Full-text available
We propose a model of cancer initiation and progression where tumor growth is modulated by an evolutionary coordination game. Evolutionary games of cancer are widely used to model frequency-dependent cell interactions with the most studied games being the Prisoner's Dilemma and public goods games. Coordination games, by their more obscure and less...
Article
Full-text available
The application of evolutionary and ecological principles to cancer prevention and treatment, as well as recognising cancer as a selection force in nature, has gained impetus over the last 50 years. Following the initial theoretical approaches that combined knowledge from interdisciplinary fields, it became clear that using the eco‐evolutionary fra...
Article
Full-text available
Fish populations subject to heavy exploitation are expected to evolve over time smaller average body sizes. We introduce Stackelberg evolutionary game theory to show how fisheries management should be adjusted to mitigate the potential negative effects of such evolutionary changes. We present the game of a fisheries manager versus a fish population...
Preprint
Full-text available
Evolutionary game theory mathematically conceptualizes and analyzes biological interactions where one’s fitness not only depends on one’s own traits, but also on the traits of others. Typically, the individuals are not overtly rational and do not select, but rather, inherit their traits. Cancer can be framed as such an evolutionary game, as it is c...
Article
Full-text available
In the absence of curative therapies, treatment of metastatic castrate-resistant prostate cancer (mCRPC) using currently available drugs can be improved by integrating evolutionary principles that govern proliferation of resistant subpopulations into current treatment protocols. Here we develop what is coined as an 'evolutionary stable therapy', wi...
Preprint
Full-text available
The concept of the evolutionary stable strategy (ESS) has been fundamental to the development of evolutionary game theory. It represents an equilibrial evolutionary state in which no rare invader can grow in population size. With additional work, the ESS concept has been formalized and united with other stability concepts such as convergent stabili...
Article
Full-text available
For cancer, we develop a 2-D agent-based continuous-space game-theoretical model that considers cancer cells’ proximity to a blood vessel. Based on castrate resistant metastatic prostate cancer (mCRPC), the model considers the density and frequency (eco-evolutionary) dynamics of three cancer cell types: those that require exogenous testosterone ( T...
Article
A game theory study supported by in vitro experimental data shows that drug treatment of non-small-cell lung cancer cells causes the cells to switch between evolutionary games they play among each other. Moreover, the work calls into question standard assumptions on the fitness costs of drug resistance to cancer cells.
Article
In metastatic castrate resistant prostate cancer (mCRPC), abiraterone is conventionally administered continuously at maximal tolerated dose until treatment failure. The majority of patients initially respond well to abiraterone but the cancer cells evolve resistance and the cancer progresses within a median time of 16 months. Incorporating techniqu...
Article
Importance: While systemic therapy for disseminated cancer is often initially successful, malignant cells, using diverse adaptive strategies encoded in the human genome, almost invariably evolve resistance, leading to treatment failure. Thus, the Darwinian dynamics of resistance are formidable barriers to all forms of systemic cancer treatment but...
Article
Full-text available
Metastatic prostate cancer is initially treated with androgen deprivation therapy (ADT). However, resistance typically develops in about 1 year - a clinical condition termed metastatic castrate-resistant prostate cancer (mCRPC). We develop and investigate a spatial game (agent based continuous space) of mCRPC that considers three distinct cancer ce...
Article
Full-text available
This paper deals with integration of energy storage systems into electricity markets. We explain why the energy storage systems increase flexibility of both power systems and energy markets and why such flexibility is desirable, particularly when variable renewable energy sources are being used in existing power systems. As opposed to the existing...
Article
Full-text available
In this paper we put forward a simple game-theoretical model of pollution control, where each country is in control of its own pollution, while the environmental effects of policies do not stop at country borders. In our noncooperative differential game, countries as players minimize the present value of their own costs defined as a linear combinat...
Article
For over 100 years it has been recognized that insect pests evolve resistance to chemical pesticides. More recently, managers have advocated restrained use of pesticides, crop rotation, the use of multiple pesticides, and pesticide-free sanctuaries as resistance management practices. Game theory provides a conceptual framework for combining the res...
Chapter
Huge numbers of microbes coexist in almost all habitats of our planet. Their interactions are governed by complex mechanisms, where both competition for resources and toxin production play important roles. Our goal is to understand key mechanisms that lead to coexistence. In this chapter we study many possible scenarios of microbial interactions an...
Article
Full-text available
This paper should be read as addendum to Dieckmann et al. (J Theor Biol 241:370-389, 2006) and Parvinen et al. (J Math Biol 67: 509-533, 2013). Our goal is, using little more than high-school calculus, to (1) exhibit the form of the canonical equation of adaptive dynamics for classical life history problems, where the examples in Dieckmann et al. (...
Conference Paper
Full-text available
This paper deals with integrating energy storage systems (ESS) into existing electricity markets. We explain why ESS increase flexibility of power systems and energy markets and why more flexible systems and markets are desirable, particularly in a context of high integration of variable renewable energy sources (RES). The Dutch electricity markets...
Chapter
Full-text available
Optimal toll design deals with the problem of determining toll which improves performance of a road traffic system. Noncooperative game theory is an excellent tool to investigate possible strategies to analyze such a problem, in which one has to take drivers’ reaction to toll and consequent changes in the traffic flow into account. Depending on the...
Article
Full-text available
Apart from interacting, prey and predators may also avoid each other by moving into refuges where they lack food, yet survive by switching to an energy-saving physiological state. Lotka –Volterra models of predator – prey interactions ignore this option. Therefore, we have modelled this game of 'joining versus opting out' by extending Lotka–Volterr...
Article
Full-text available
We propose a game-theoretical model to describe intra-seasonal predator–prey interactions between predatory mites (Acari: Phytoseiidae) and prey mites (also called fruit-tree red spider mites) (Acari: Tetranychidae) that feed on leaves of apple trees. Its parameters have been instantiated based on laboratory and field studies. The continuous-time d...
Conference Paper
Full-text available
Diversity and inequality are essences of our real world. Ant colonies are comprised of hundreds of in-dividuals, with no two of them being exactly identical. A flock of birds contains individuals with slight variations in size, speed and vision. Looking at human societies such diversity can be seen among individ-uals differing in body shape and in...
Conference Paper
Full-text available
The Lloyd algorithm is a key concept in multi-robot Voronoi coverage applications. Its advantages are its simplicity of implementation and asymptotic convergence to the robots' optimal position. However, the speed of this convergence cannot be guaranteed and therefore reaching the optimal position may be very slow. Moreover, in order to ensure the...
Article
Full-text available
We propose an optimal control framework to describe intra-seasonal predator-prey interactions, which are characterized by a continuous-time dynamical model comprising predator and prey density, as well as the energy budget of the prey over the length of a season. The model includes a time-dependent decision variable for the prey, representing the p...
Article
Full-text available
the dominant institutional approach to nuclear weapons (and other Wmds), has been “containment.” during the cold War, nuclear technology was kept classified in the hopes that other states would not develop nuclear weapons, while the two superpowers amassed enormous stores of weapons. in the 1970s, a non-proliferation treaty promised to cut the stor...
Chapter
Full-text available
In this paper we define the European electricity market liberalization problem as a game with electricity producers as players, while the consumers’ electricity demand is exogenous. The model is based on real data. The producers maximize their profit by investing and choosing how much electricity they will produce by available means of electricity...
Conference Paper
This work deals with the formulation of a distributed model predictive control scheme as a decision problem in which the decisions of each subsystem affect the decisions of the other subsystems and the performance of the whole system. This decision problem is formulated as a bargaining game. This formulation allows each subsystem to decide whether...
Conference Paper
Full-text available
We consider a two-person discrete-time dynamic game with the prespecified fixed duration. Each player maximizes her profit over the game horizon, taking decisions of the other player into account. Our goal is to find the Stackelberg equilibria for such a game. The solution approach differs with respect to the information available to individual pla...
Conference Paper
Full-text available
We consider a two-person discrete-time dynamic game with a prespecified fixed duration. Each player maximizes her profit over the game horizon, taking decisions of the other player into account. Our goal is to find the Stackelberg equilibria for such a game. After having discussed deterministic Stackelberg games in the companion paper (Stackelberg...
Chapter
Full-text available
We consider the special type of Stackelberg games known as inverse (or reverse) Stackelberg games and their application to the problem of bi-level optimal toll design in road traffic systems. On a given strongly connected network we assume a noncooperative game with two levels of players: the road authority as a leader and travelers as followers. W...
Article
Full-text available
In this paper we deal with the European electricity market liberalization problem, formulated as a game with electricity producers as players, while the consumers’ electricity demand is exogenous. The producers maximize their profit by choosing how much electricity they will produce individually by means of electricity production available to them....
Conference Paper
Full-text available
This paper deals with problem of the real-time freeway traffic density estimation/prediction for a jump Markov linear model based on Daganzo's cell transmission variant of the Lighthill-Whitham-Richards continuous macroscopic freeway model. To solve the problem we propose a particle-filtering-based estimation/prediction method. Its performance is i...
Conference Paper
Full-text available
The subject of this paper is a one-leader-one-follower dynamic inverse Stackelberg game with a fixed duration between a bank acting as the leader and an investor acting as the follower. The investor makes her transaction decisions with the bank as intermediary and the bank charges her transaction costs that are dependent on the investor's transacti...
Article
Full-text available
In this paper, the dynamic optimal toll design problem is considered as a one leader-many followers hierarchical non-cooperative game. On a given network the road authority as the leader tolls some links in order to reach its objective, while travelers as followers minimize their perceived travel costs. So far toll has always been considered either...
Conference Paper
Full-text available
In this paper the dynamic optimal toll design problem as a game of the Stackelberg type is investigated, with the road authority as leader and drivers on the road network as followers. The road authority sets dynamic traffic-flow dependent tolls on some links in order to minimize its objective function, while the drivers choose their routes and dep...
Thesis
Full-text available
Inverse (or reverse) Stackelberg games have become the subject of recent game theory research, as a special type or as an extension of Stackelberg games. So far, only very little theory about inverse Stackelberg games is available and the available theory is still in its infancy. In this thesis we focus on theoretically solving such problems and we...
Conference Paper
Full-text available
In this paper, the dynamic optimal toll design problem is considered as a one-leadermore-followers hierarchical non-cooperative game. On a given network the road authority as the leader tolls some links in the network to minimize the total travel time of the system, while travelers as followers are assumed to be driven by the dynamic route choice e...
Conference Paper
Full-text available
In this paper, the dynamic optimal toll design problem is considered as a one-leadermore-followers hierarchical non-cooperative game. On a given network the road authority as the leader tolls some links in the network to minimize the total travel time of the system, while travelers as followers are assumed to be driven by the dynamic route choice e...

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Projects

Projects (3)
Project
Research within the European Training Network EvoGamesPlus - Evolutionary Game Theory and Population Dynamics : From Theory to Applications coordinated by Katerina Stankova, with content work packages led by Mark Broom, Johan Dubbeldam, Katerina Stankova and Maria-Luisa Sapino. See www.evogamesplus.eu for more details.
Project
To understand cancer through evolutionary game theory and to design better treatments via Stackelberg game theory