scholarly journals Modifying adaptive therapy to enhance competitive suppression

2020 ◽  
Author(s):  
Elsa Hansen ◽  
Andrew F. Read
Keyword(s):  
Mathematical Model ◽  
Tumor Control ◽  
Drug Resistant ◽  
Initial Test ◽  
Improve Performance ◽  
New Approach ◽  
Therapy Trial ◽  
The Mathematical Model ◽  
Adaptive Therapy ◽  
Time To Tumor Progression

AbstractAdaptive therapy is a promising new approach to cancer treatment. It is designed to leverage competition between drug-sensitive and drug-resistant cells in order to suppress resistance and maintain tumor control for longer. Prompted by encouraging results from a recent pilot clinical trial, we evaluate the design of this initial test of adaptive therapy and identify three simple modifications that should improve performance. These modifications are designed to increase competition and are easy to implement. Using the mathematical model that supported the recent adaptive therapy trial, we show that the suggested modifications further delay time to tumor progression and also increase the range of patients who can benefit from adaptive therapy.

scholarly journals Modifying Adaptive Therapy to Enhance Competitive Suppression

Cancers ◽  
2020 ◽  
Vol 12 (12) ◽  
pp. 3556
Author(s):  
Elsa Hansen ◽  
Andrew F. Read
Keyword(s):  
Mathematical Model ◽  
Tumor Control ◽  
Drug Resistant ◽  
Initial Test ◽  
Improve Performance ◽  
New Approach ◽  
Therapy Trial ◽  
The Mathematical Model ◽  
Adaptive Therapy ◽  
Time To Tumor Progression

Adaptive therapy is a promising new approach to cancer treatment. It is designed to leverage competition between drug-sensitive and drug-resistant cells in order to suppress resistance and maintain tumor control for longer. Prompted by encouraging results from a recent pilot clinical trial, we evaluate the design of this initial test of adaptive therapy and identify three simple modifications that should improve performance. These modifications are designed to increase competition and are easy to implement. Using the mathematical model that supported the recent adaptive therapy trial, we show that the suggested modifications further delay time to tumor progression and also increase the range of patients who can benefit from adaptive therapy.

The New Approach to Optimization of Production – Technological Base of a Public Transport Enterprises Network on an Example of City Hanoi

2016 ◽  
Vol 838 ◽  
pp. 39-46
Author(s):  
Andrey Nikolaevich Rementsov ◽  
Victor Akimovich Egorov ◽  
Nguen Huang Manh
Keyword(s):  
Mathematical Model ◽  
Public Transport ◽  
Queuing Systems ◽  
Economic Criterion ◽  
New Approach ◽  
Systems Model ◽  
Maintenance Service ◽  
Technological Base ◽  
The Mathematical Model ◽  
To Receive

In the article application of queuing systems model in the field of operation of motor transport is presented. The system of maintenance service (MS) and operating repair (OR) of the cars on technological base is considered as multichannel multiphase queuing system. The mathematical model allows to receive necessary parameters of system MS and OR and to optimize them on technical-economic criterion.

scholarly journals Brain Metastasis Response to Stereotactic Radio Surgery: A Mathematical Approach

Mathematics ◽  
2021 ◽  
Vol 9 (7) ◽  
pp. 716
Author(s):  
Odelaisy León-Triana ◽  
Julián Pérez-Beteta  ◽  
David Albillo ◽  
Ana Ortiz de Mendivil ◽  
Luis Pérez-Romasanta ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Brain Metastasis ◽  
Intracranial Tumor ◽  
Tumor Control ◽  
Biological Mechanisms ◽  
Primary Tumors ◽  
Extracranial Disease ◽  
The Mathematical Model ◽  
The Brain

Brain metastases (BMs) are cancer cells that spread to the brain from primary tumors in other organs. Up to 35% of adult cancer patients develop BMs. The treatment of BM patients who have well-controlled extracranial disease and a small number of lesions consists of localized doses of radiation (stereotactic radio surgery (SRS)). Estimating prognosis among BM patients may allow treatments to be chosen that balance durability of intracranial tumor control with quality of life and the side effects of treatment. No mathematical model-based quantitative biomarkers have been determined for estimating prognosis. As a first step toward that goal, we describe a mathematical model of growth and response of brain metastasis to stereotactic radio surgery. The mathematical model incorporates some biological mechanisms involved in BM growth and response to SRS and allows the observed dynamics to be accurately described.

Study on Establishment of Helix Flute Mathematic Model of Solid Carbide End Mills

2011 ◽  
Vol 121-126 ◽  
pp. 4753-4757
Author(s):  
Guo Chao Li ◽  
Jie Sun ◽  
Yong He
Keyword(s):  
Mathematical Model ◽  
Main Idea ◽  
Surface Group ◽  
Mathematic Model ◽  
End Mill ◽  
Cross Sectional ◽  
New Approach ◽  
Solid Carbide ◽  
End Mills ◽  
The Mathematical Model

This paper describes a new approach to establish the helix flute model of solid carbide end mills. Based on the theory of differential geometry and coordinate transformation, a mathematical model of the end mill helix flute will be established.The main idea of the study is to envelop the helix flute by a one-parameter surface group which consists of the cross-sectional profiles of the wheel.Then, the mathematical model will be quickly verified by MATLAB.Thus the end mill design time will be saved and the new mathematical model will be checked effectively.

scholarly journals Optimal cutting and prediction of assortment yields before and during tree felling

2019 ◽  
Author(s):  
А.С. Торопов ◽  
А.Н. Соловьев
Keyword(s):  
Mathematical Model ◽  
Exhaustive Search ◽  
Maximum Volume ◽  
New Approach ◽  
Optimum Cutting ◽  
Sexual Part ◽  
Determination Of Parameters ◽  
The Mathematical Model

В настоящей статье рассматривается новый подход к проблеме оптимального раскроя и прогнозирования выхода сортиментов до и в процессе валки деревьев. Авторы предлагают и теоретически обосновывают рациональный раскрой пиловочной части дерева по критерию максимального объемного выхода пиловочника в стоимостном выражении. В работе приведена математическая модель определения параметров половой части дерева на основе аллометрического метода исследований предмета труда и оптимального раскроя и прогнозирования выхода сортиментов до и в процессе валки деревьев с использованием метода исчерпывающего поиски и методы ветвей и границ. In this article new approach to a problem of optimum cutting and forecasting of an exit of assortments to and in process rolls of trees is considered. Authors offer and theoretically prove rational cutting of a pilovochny part of a tree by criterion of the maximum volume exit of sawlog in value terms. In work the mathematical model of determination of parameters of a sexual part of a tree on the basis of anallometrichesky method of researches of an object of the labor and optimum cutting and forecasting of an exit of assortments to and is given in process rolls of trees with use of a method exhaustive search and methods of branches and borders.

scholarly journals A new approach to the mathematical model of thermal energy balance

2019 ◽  
Vol 97 ◽  
pp. 01028
Author(s):  
Elena Kitaytseva
Keyword(s):  
Mathematical Model ◽  
Thermal Energy ◽  
Heat Energy ◽  
Hot Water ◽  
New Approach ◽  
Hot Water Supply ◽  
The Difference ◽  
The Cost ◽  
The Mathematical Model ◽  
Weight Coefficients

Formation of balance of thermal energy and the heat carrier for a thermal network is carried out for the purpose of increase of efficiency of work of the heat supplying organization. The standard approach proposes to write off the difference between the released and realized heat energy for heat losses. The article proposes a new approach to the formation of the balance of thermal energy and coolant. It includes statistical analysis of telemetry data relating to the released thermal energy. Heat consumption was estimated by contractual load for heating, ventilation and hot water supply. In the mathematical model of the thermal balance for each term weight coefficients were introduced. To obtain the numerical values of these coefficients, the method of least squares was used. The results of checking the adequacy of mathematical models that take into account or neglect thermal losses are presented. The obtained coefficients for the mathematical model of heat balance were used for the mathematical model of mass balance. The results can be used to predict the cost of production and transmission of heat energy and coolant, to assess the efficiency of the heat network and the formation of tariff applications for the future.

scholarly journals The far-seeing planning systems and models for the construction management

2018 ◽  
Vol 170 ◽  
pp. 01007 ◽  
Author(s):  
Lubov Petrenko ◽  
Svetlana Manzhilevskaya ◽  
Aleksandr Shilov ◽  
Al-Hajj Ali Abdullah Saleh
Keyword(s):  
Mathematical Model ◽  
Construction Management ◽  
Time Frame ◽  
Scientific Basis ◽  
Planning Systems ◽  
Construction Planning ◽  
New Approach ◽  
Perspective Planning ◽  
The Mathematical Model

The scientific basis of the organization of construction production involves the development of innovative models and methods of construction planning. The article studies the issues of perspective planning. After several years of research, the authors propose a new approach to forecasting and long-term planning. The authors consider the construction as a holistic design and realistic complex. As defined by the Bank of World, a project is a set of interrelated activities designed to achieve objectives within a given time frame and budget, with clearly defined objectives. In the article the mathematical model allowing to plan construction production for long term and to operate it is offered. The proposed method makes it possible to effectively and ergonomically solve the problems of construction plan and construction management.

DETERMINATION OF PERFORMANCE INDICATORS OF THE TRUCK KrAZ-6510TE

2020 ◽  
pp. 19-26
Author(s):  
Olexandr Pavlenko ◽  
Serhii Dun ◽  
Maksym Skliar
Keyword(s):  
Mathematical Model ◽  
Surface Friction ◽  
Building Structures ◽  
Maximum Torque ◽  
Military Equipment ◽  
Military Vehicles ◽  
Force Magnitude ◽  
Vehicle Mobility ◽  
The Mathematical Model

In any economy there is a need for the bulky goods transportation which cannot be divided into smaller parts. Such cargoes include building structures, elements of industrial equipment, tracked or wheeled construction and agricultural machinery, heavy armored military vehicles. In any case, tractor-semitrailer should provide fast delivery of goods with minimal fuel consumption. In order to guarantee the goods delivery, tractor-semitrailers must be able to overcome the existing roads broken grade and be capable to tow a semi-trailer in off-road conditions. These properties are especially important for military equipment transportation. The important factor that determines a tractor-semitrailer mobility is its gradeability. The purpose of this work is to improve a tractor-semitrailer mobility with tractor units manufactured at PJSC “AutoKrAZ” by increasing the tractor-semitrailer gradeability. The customer requirements for a new tractor are determined by the maximizing the grade to 18°. The analysis of the characteristics of modern tractor-semitrailers for heavy haulage has shown that the highest rate of this grade is 16.7°. The factors determining the limiting gradeability value were analyzed, based on the tractor-semitrailer with a KrAZ-6510TE tractor and a semi-trailer with a full weight of 80 t. It has been developed a mathematical model to investigate the tractor and semi-trailer axles vertical reactions distribution on the tractor-semitrailer friction performances. The mathematical model has allowed to calculate the gradeability value that the tractor-semitrailer can overcome in case of wheels and road surface friction value and the tractive force magnitude from the engine. The mathematical model adequacy was confirmed by comparing the calculations results with the data of factory tests. The analysis showed that on a dry road the KrAZ-6510TE tractor with a 80 t gross weight semitrailer is capable to climb a gradient of 14,35 ° with its coupling mass full use condition. The engine's maximum torque allows the tractor-semitrailer to overcome a gradient of 10.45° It has been determined the ways to improve the design of the KrAZ-6510TE tractor to increase its gradeability. Keywords: tractor, tractor-semitrailer vehicle mobility, tractor-semitrailer vehicle gradeability.

EXPERIMENTAL STUDIES OF CAR PROPERTIES ON A PHYSICAL MODEL

2019 ◽  
pp. 10-16
Author(s):  
Oleksii Timkov ◽  
Dmytro Yashchenko ◽  
Volodymyr Bosenko
Keyword(s):  
Mathematical Model ◽  
Remote Control ◽  
Physical Model ◽  
Model Experiment ◽  
Experimental Studies ◽  
Electrical Energy ◽  
Short Term ◽  
Motor Current ◽  
Memory Card ◽  
The Mathematical Model

The article deals with the development of a physical model of a car equipped with measuring, recording and remote control equipment for experimental study of car properties. A detailed description of the design of the physical model and of the electronic modules used is given, links to application libraries and the code of the first part of the program for remote control of the model are given. Atmega microcontroller on the Arduino Uno platform was used to manage the model and register the parameters. When moving the car on the memory card saved such parameters as speed, voltage on the motor, current on the motor, the angle of the steered wheel, acceleration along three coordinate axes are recorded. Use of more powerful microcontrollers will allow to expand the list of the registered parameters of movement of the car. It is possible to measure the forces acting on the elements of the car and other parameters. In the future, it is planned to develop a mathematical model of motion of the car and check its adequacy in conducting experimental studies on maneuverability on the physical model. In addition, it is possible to conduct studies of stability and consumption of electrical energy. The physical model allows to quickly change geometric dimensions and mass parameters. In the study of highway trains, this approach will allow to investigate the various layout schemes of highway trains in the short term. It is possible to make two-axle road trains and saddle towed trains, three-way hitched trains of different layout. The results obtained will allow us to improve not only the mathematical model, but also the experimental physical model, and move on to further study the properties of hybrid road trains with an active trailer link. This approach allows to reduce material and time costs when researching the properties of cars and road trains. Keywords: car, physical model, experiment, road trains, sensor, remote control, maneuverability, stability.

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