Tumor cells proliferation and migration under the influence of their microenvironment by Avner Friedman, Yangjin Kim

“…It is well known that tumor microenvironment affects tumor growth and metastasis:Tumor cells may proliferate at different rates and migrate indifferent patterns depending on the microenvironment in which they are embedded.There is a huge literature that deals with mathematical models oftumor growth and proliferation, in both the avascular andvascular phases. …”
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Estimation of Disease Transmission in Multimodal Transportation Networks by Yu Zheng

“…Mathematical models are important methods in estimating epidemiological patterns of diseases and predicting the consequences of the spread of diseases. …”
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Immunotherapy: An Optimal Control Theory Approach by K. Renee Fister, Jennifer Hughes Donnelly

“…We investigate mathematical models for the dynamics between tumor cells, immune-effector cells, and cytokine interleukin-2 (IL-2). …”
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THE PRODUCTION CAPACITY OF LEACHATE COLECTED FROM PIATRA NEAMT LANDFILL by MIHAI-COSMIN BELCIU, ALEXANDRA-DANA CHIȚIMUȘ, VALENTIN NEDEFF, NARCIS BÂRSAN, RUSU DRAGOȘ

“…This paper purpose an analysis of a Romanian Landfill, concerning leachate production. Mathematical models applied on landfill products create an environmental background in which concerns waste management in Romania. …”
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An optimal adaptive time-stepping scheme for solving reaction-diffusion-chemotaxis systems by Chichia Chiu, Jui-Ling Yu

“…Reaction-diffusion-chemotaxis systems have proven to be fairlyaccurate mathematical models for many pattern formation problems in chemistryand biology. …”
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Analysis and Synthesis March Memory Tests by V. N. Yarmolik, V. A. Levantsevich, D. V. Demenkovets

“…The paper shows the relevance of testing storage devices in modern computing systems. Mathematical models of memory device faults and the efficiency of their detection, in particular, complex pattern sensitive faults of the PNPSFk type, based on classical march memory tests are presented. …”
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Study on the Structural Design and Obstacle Barrier Performance of Double Pendulum Arms Crawler Deformable Robot by Guangyao Meng, Zhenhua Wang, Juxin Huang, Bin Guo, Hongjie Sun

“…The introduction of the rear swing arm enriches the configuration change of the robot, and the center of gravity of the robot has a large degree of adjustment during the rotation of the front and rear swing arms, the obstacle performance of the robot is improved. Mathematical models of typical obstacles such as ramps, steps and gullies are established. …”
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Pinched hysteresis loops in non‐linear resonators by Ahmed S. Elwakil, Mohammed E. Fouda, Sohaib Majzoub, Ahmed G. Radwan

“…Abstract This study shows that pinched hysteresis can be observed in simple non‐linear resonance circuits containing a single diode that behaves as a voltage‐controlled switch. Mathematical models are derived and numerically validated for both series and parallel resonator circuits. …”
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Modeling colony collapse disorder in honeybees as a contagion by Christopher M. Kribs-Zaleta, Christopher Mitchell

“…There is still no consensus on what causes this phenomenon, called Colony Collapse Disorder, or CCD. Several mathematical models have studied CCD by only focusing on infection dynamics. …”
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Power Spectral Density Conversions and Nonlinear Dynamics by Mostafa Rassaian

“…To predict the vibration environment of a payload carried by a ground or air transporter, mathematical models are required from which a transfer function to a prescribed input can be calculated. …”
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Application of Artificial Neural Networks and Adaptive Neuro-Fuzzy Inference Systems to Predict Activated Carbon Properties for Methane Storage by Ali Ahmadpour, Neda Jahanshahi, Sajjad Rashidi, Naser Chenarani, Mohammad Jaber Darabi Mahboub

“…However, because of complex relations between independent and dependent variables, the proposed statistical and mathematical models are not satisfactory. In this paper, the specifications of some ACs synthesized by chemical activation methods are predicted. …”
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Chip Thickness and Microhardness Prediction Models during Turning of Medium Carbon Steel by S. A. Alrabii, L. Y. Zumot

“…Chips were collected at different machining conditions and thickness and microhardness measurements taken and analyzed using “DESIGN EXPERT 7” experimental design software. Mathematical models of the responses (thickness and microhardness) as functions of the conditions (speed, feed, and depth of cut) were obtained and studied. …”
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Analysis of the Severity of Accidents on Rural Roads Using Statistical and Artificial Neural Network Methods by Mohammad Habibzadeh, Pooyan Ayar, Mohammad Hassan Mirabimoghaddam, Mahmoud Ameri, Seyede Mojde Sadat Haghighi

“…Finally, the performance of the proposed models was validated utilizing other mathematical models. As a result, putting the output results together, the best measures can be suggested to increase the safety of people on rural roads. …”
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Water Quality Analysis for the Depletion of Dissolved Oxygen due to Exponentially Increasing Form of Pollution Sources by N. Manitcharoen, B. Pimpunchat, P. Sattayatham

“…Analyzing and improving mathematical models for water quality investigation are imperative for water quality issues around the world. …”
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Research on New SMA Actuator and Bionic Hand by Zhiguang Wu

“…The effective length of SMA wire is improved by using the series and put of multi-section steel sheet and SMA wire，and the driving displacement is increased by one time through the inner pulley structure. The mathematical models of driving current and output displacement as well as temperature and driving voltage are established to solve the problems of small driving displacement and poor real-time performance of temperature feedback control. …”
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VIBRATION SUPPRESSION CHARACTERISTICS ANALYSIS OF TWO-PLANE AUTOMATIC BALL BALANCING DEVICE by WANG Zhi, CHEN HaiWei, SUN Zhen

“…A two-plane ball automatic balancing device for rigid rotors was analyzed. The mathematical models of two-plane automatic ball balancing device for double eccentric disk were established and derived the vibration differential equation by the Lagrange equation,the autonomous system was obtained by rotating coordinate transformation. …”
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Energy Loss Analysis of Dual Power Supply-Powered Motor Drive During Supercapacitor Energy Storage Discharge by Ģirts Staņa, Kaspars Kroičs

“…For each case, simulation and mathematical models are developed and the simulation results are verified. …”
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Effects of the Hot Alignment of a Power Unit on Oil-Whip Instability Phenomena by A. Vania, P. Pennacchi

“…By including these bearing coefficients in a mathematical model of the fully assembled machine, the real part of the eigenvalue associated with the first balance resonance of the generator rotor became positive. …”
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Influence of Concrete Creep on the Bending of a Prestressed Bridge Beam by Petr P. Gaidzhurov, Elvira R. Iskhakova, Nina A. Saveleva

“…Moreover, there are no mechanic-mathematical models of hereditary type oriented to the finite-element method.The concept of modelling of long-term deformation of reinforced concrete structures in a three-dimensional statement, based on the use of the integral deformation modulus of concrete, does not allow one to carry out designing considering the technological prehistory. …”
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Solving Advection Equations by Applying the Crank-Nicolson Scheme Combined with the Richardson Extrapolation by Zahari Zlatev, Ivan Dimov, István Faragó, Krassimir Georgiev, Ágnes Havasi, Tzvetan Ostromsky

“…Advection equations appear often in large-scale mathematical models arising in many fields of science and engineering. …”
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