Positive impulsive control of tumor therapy—a cyber-medical approach
Chemotherapy optimization based on mathematical models is a promising direction of
personalized medicine. Personalizing, thus optimizing treatments, may have multiple …
personalized medicine. Personalizing, thus optimizing treatments, may have multiple …
Experimental data-driven tumor modeling for chemotherapy
Mathematical models of tumor growth in response to chemotherapy are crucial for therapy
optimization and outcome. We create a relatively simple tumor growth model describing the …
optimization and outcome. We create a relatively simple tumor growth model describing the …
Magnetic resonance insights into the heterogeneous, fractal-like kinetics of chemically recyclable polymers
Moving toward a circular plastics economy is a vital aspect of global resource management.
Chemical recycling of plastics ensures that high-value monomers can be recovered from …
Chemical recycling of plastics ensures that high-value monomers can be recovered from …
Dynamic mode decomposition for continuous time systems with the Liouville operator
Dynamic mode decomposition (DMD) has become synonymous with the Koopman operator,
where continuous time dynamics are discretized and examined using Koopman (ie …
where continuous time dynamics are discretized and examined using Koopman (ie …
Oscillations in three‐reaction quadratic mass‐action systems
It is known that rank‐two bimolecular mass‐action systems do not admit limit cycles. With a
view to understanding which small mass‐action systems admit oscillation, in this paper we …
view to understanding which small mass‐action systems admit oscillation, in this paper we …
A hidden integral structure endows absolute concentration robust systems with resilience to dynamical concentration disturbances
D Cappelletti, A Gupta… - Journal of the Royal …, 2020 - royalsocietypublishing.org
Biochemical systems that express certain chemical species of interest at the same level at
any positive steady state are called 'absolute concentration robust'(ACR). These species …
any positive steady state are called 'absolute concentration robust'(ACR). These species …
Indirect supervised fine-tuning of a tumor model parameter estimator neural network
Personalized therapy based on mathematical foundations is a promising method for treating
various types of cancer. By identifying the parameters of mathematical equations, we could …
various types of cancer. By identifying the parameters of mathematical equations, we could …
Comparison of artificial neural network and anfis for parameter estimation of a tumor model
Cyber-medical systems are revolutionizing medicine. Mathematical therapy optimization is
one of the main pioneering results of cyber-medical system approach. Mathematical therapy …
one of the main pioneering results of cyber-medical system approach. Mathematical therapy …
Comparative analysis of carbon cycle models via kinetic representations
NT Fortun, ER Mendoza - Journal of Mathematical Chemistry, 2023 - Springer
The pre-industrial state of the global carbon cycle is a significant aspect of studies related to
climate change. In this paper, we recall the power law kinetic representations of the pre …
climate change. In this paper, we recall the power law kinetic representations of the pre …
Realizations of kinetic differential equations
The induced kinetic differential equation of a reaction network endowed with mass action
type kinetics is a system of polynomial differential equations. The problem studied here is …
type kinetics is a system of polynomial differential equations. The problem studied here is …