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# Mathematical Models - Science topic

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Questions related to Mathematical Models

How can I get horizontal planes of voxels in tomography using topography area?

Or more precisely, what procedure can be considered to make this mode have its own mathematical model so that I can intersect the rays with its mathematical model?

Dear Esteemed Researchers,

I have a mathematical model of a Plant. I want to implement two different controllers and see the response of system in tracking a specific reference. I would like to analyze the transient time response of the system for both the controllers. I don't mean to just check the response in simulation I want technical analysis using tools such as eigenvalue analysis. What tool can help me build up the evidence for best transient time response.

Thank you.

I have developed a mathematical model for modeling and optimizing process design. Now there are measurable input data available to compute other parameters via the model. I need suggestions on Open Source software and applications that are user friending that I can use to write my mathematical model equations to automatically calculate the measurable inputs are keyed in.

Software outside the usual programing and coding using MatLab and Python interface.

I am looking for study material (books, articles, codes or even YouTube videos) on parameter estimation of differential equation models (using any method but preferably least squares). I would like to calibrate some mathematical models in the form of ODEs and PDEs; I have a time series data set for the dependent variables. I could simply Google but I would like material that has demonstrations for easy learning.

A mathematically modeled one. Thanks.

We, as humans, use myths, stories, and spiritual thoughts to interoperating the world around us. However, most of our thoughts are compromised by biases. Mathematical models are helping us to create a consensus among the different segments of society. Are these models have alternatives?

The SEIR model is famous as some countries such as Malaysia use it to predict emerging infectious diseases such as COVID-19? What makes it famous among other mathematical models, agent-based model etc.?

what is the scope of research in the field of mathematical biology or mathematical model

Please, I need, if available, some important research papers which relate the theory of dynamical systems to climate change. Also, in general, I know there are a lot of published research articles that relate dynamical systems to many applications. But, are there papers that research centers and governments depend on that before taking any procedures? I mean, are there papers, especially on climate change and the environment, which are not only in theory but have practical applications?

The Mandelbrot set is related to the Feigenbaum cascades, which are found in lots of mathematical models of real-life phenomena. But does the Mandelbrot set have have any real-world use, either on its own or in connection with Feigenbaum cascades? Or is it purely aesthetic?

I already have the GHI from the weather station are there any equations to calculate the GTI or only It can be accurately measured by a pyranometer installed at the same tilt

angle as the PV panels ?

Hello world,

I am performing dynamic analysis on the rotating cantilever beam. With the help of mathematical model I have calculated the natural frequency for axial and two transverse direction that seems to vary with the rotating speed of the beam. The attached file show the variation of natural frequency .

I am clueless with the physics behind the variation?

Is it necessary to decrease axial natural frequency with increase in speed and increase of other two directional frequencies ??

Help me to draw the conclusion.

If the geodetic coordinates (φ,λ,h) of the ground station (e.g., GPS station) is known, how can the pressure, temperature, and relative humidity of this station be predicted at different times?. I'm looking for a mathematical model+modeling data, not instruments (equipment) used. If you have any information about this, please share it here.

Hello everyone, I am looking for a good MPC quadratic optimization mathematical model to optimize a cost function or performance index, for a battery energy storage state space model. Would anybody suggest a good research paper or post a formulation that contains a good mathematical model for quadratic optimization? An objective function with viable constraints, which can be possible to implement in function solvers such as quadprog or cplex would be ideal. Thank you

I have plenty of data from leaves, but is there a way to calculate their photosynthesis rate?

I count with:

- Leaf temperature
- Leaf VPD
- Stomatal conductance and density (stomata/cm2) and their % aperture
- RH & Temperature from the environment
- Irradiation from the sun (W/m2)
- PAR Light

I know that the best way to obtain photosynthesis rate is with a enclosed chamber and measure the decrease of CO2, but is there a way to calculate it with some of the data that I already have?

I have been searching for a mathematical model or any kind of coupled equations, but I haven't found any info.

Thanks in advance.

Dear colleagues!

Tell me, please, why does the velocity of nerve impulse conduction along the nerve decrease when the nerve is stretched?

Maybe there are some mathematical models that describe this effect?

Best regards, Vladislav

Dear fellows,

Maybe you have done interesting measurements to test some model?

I can always use such data to use as examples and tests for my regression analysis software, and it's a win-win, since I might give you a second opinion on your research.

It's important that I also get the imprecision (measurement error/confidence interval) on the independent and dependent variables. At this moment, my software only handles one of each, but I'm planning to expand it for more independent variables.

Thanks in advance!

The traditional way of deriving the mathematical model of any dc-dc converter is by using the volt and charge second balance to find the average model of the converter. However, is there any other way to derive the model of a converter that also accurately represents its dynamics?

Need help with this kindly message me or let me here on the discussion for the clear description of the this I need the on paper Mathematical model of the Interleaved boost converter...

Hello All,

How to mathematically model creativity?

Can we use deep learning models to predict creativity?

Kindly suggest.

Thanks.

Design of experiment helps to estimate the percentage contribution of factors and significant factors affecting the process. Interaction plots and mathematical models can also be arrived at.

It has been observed that different incidents rates like bilinear, standard, saturated have used. My query is where to use which incidence rate? (For any particular disease? Or any other criteria?)

Please clarify this

I am an undergrad student at UET Lahore, I am studying Near field PV energy conversion, I have developed the mathematical model for the system on MATLAB, but it seems that it can't be solved, since the solution involves sqrt of iota which cant be integrated to find current density, I really need help on this, thank you.

An explanation would help me.

Since I haven't found a completely solved model anywhere. All the papers just had the mathematical overview followed by results.

For example, a simple 1D porous flow problem in a reservoir. On the left of the model, there is a production well. So how should I deal with this production well? Adding a Neumann boundary condition at the left? Will it change the physical problem that I am trying to simulate? since if there is a production or injection well, it should be a source term in the mathematical model.

Please, present a list of references, which describes the interaction of the subatomic particles.

Dear researchers

As a research team, we intend to work on various fractional mathematical models in which fixed point theory and fractional calculus play an important role. I invite interested researchers to work on numerical techniques and simulations. If you are familiar with numerical techniques and MATLAB software, please contact me.

Thank you very much.

Best regards

Sina

Hello everyone,

I wanted to know when we perform in vitro drug release experiments and fit them into various mathematical models:

1. How do we choose the best model based on the graph or the R-square value or something else?

2. the n value is supposed to be calculated only for the Korsmeyer-Peppas model or for all the models?

I am getting confused. Please help me understand.

Thanking you in advance.

Hi~

There is an amide reaction (-COOH + -NH2 to -N-C=O) at the interface of molten PA6 and silane coupling agent film. How to evaluate the influence of temperature on reaction rate quantitatively?

Any suggestions or reference recommendations would be appreciated.

Thanks a lot.

Background of the problem for people non familiar with transfusion:

Every day, hospital transfusion services must guarantee they have enough blood to meet patient transfusion demand. This is very like managing a food stock in a refrigerator but even easier (just one product, one expiration date).

Assumptions:

- RBC (red blood cell) units are kept on a refrigerator with enough capacity

- Maximum expiration date for RBC is 42 days.

- We make a routine order to the blood bank provider (our grocery store) every day from Monday to Friday. We can make additional orders if we run out of stock.

- We practice first in first out.

The model should satisfy the following targets:

- Minimize the expiration rate (the number of RBC units expiring every certain time)

- The less time on the refrigerator the better (eat fresh)

- Avoid extraordinary orders as much as possible (some extraordinary order might be considered to cope with transfusion peaks of demand)

- Note: I have purposely simplified the problem (no considerations of ABO group distribution, crossmatched reserved units, or reduced expiration date of the irradiated blood…).

Non controlled external factors:

- Transfusion rate

- Average remaining time to expiration of the received blood.

**What we are looking for is the optimal number of RBC units we must order on a routine basis (M-F)**which is the only factor we can adjust to optimize the equation. Resulting figure must be recalculated when transfusion rate or average expiration date of the received units change.

Intuitively, I see how the number of extraordinary orders and RBC freshness are at opposite sides of a balance, because if a higher number of extraordinary orders is tolerated, then it should result in a smaller but fresher RBC inventory. On the other hand, in order to avoid extraordinary orders, you need a greater inventory thus increasing the average age of your products and the risk of expiration.

Any idea or suggestion? Any available script on Excel/SPSS/Stata/R/SQL? Any related bibliography?

I can provide raw data for simulations on demand if someone want to make a collaboration.

Hi,

I am trying to write the motivation part for linearization of a non-linear mathematical formulation. I claim the mathematical model will be more simple and easier to solve. But, of course, I need a reference for that! Any suggested book chapters or articles that discuss this point please?

Thanks in advance...

Zak

Hi Good Day, I am working on finding trim point using a non linear aircraft mathematical Model. The optimization algorithm (Nelder-Mead) can search for minimum cost function to trim the aircraft for conventional controls. Now when in addition to aileron, rudder and elevator, Differential elevator is another variable available, I get multiple trim solutions based upon starting point. How can I specify any other constraint so that I get the minimum deflections for trim. My solution is that the deflections which cause minimum drag or throttle deflection is the global minimum in this case but how can i implement it in the objective function. Has anyone attempted this earlier. Regards

Can the Runge-Kutta method solve the governing equation in the attached article? the mathematical model is a plate includes both geometric nonlinearity and nonlinear stiffness, which teacher can explain? Are there any similar examples?

Can the Runge-Kutta method solve the governing equation in the attached article? the mathematical model is a plate includes both geometric nonlinearity and nonlinear stiffness, which teacher can explain? Are there any similar examples?

How can i draw and make a mathematical model for a different shape for a metal foam matrix, I have a numerical program for fluid flow through cupper foam matrix with sensible heat transfer, so I need to insert the foam matrix in the numerical program to complete the simulation program.

**A mathematical model to analyze the combined effects of interest and inflationary rates on inventory systems (World Bank World Economic Indicators database 2019)**

Hello everyone,

I need to know the methods used to calculate β and γ in the mathematical model of infectious diseases (S.I.R).

Dear colleagues,

**Does anyone know a method for predicting (with more or less uncertainty) the contribution of organisms (community, species, functionnal group...) to a function/process?**

I'm not a mathematical modeler and I don't pretend to create something robust. Rather, I am in an exploratory process to enable a better understanding among stakeholders.

For the moment I have found a few publications on plants that can help me (below) but I wonder if there are any others publications, on others organisms, ecosystems?

Best regards,

Kevin Hoeffner

References:

-Garnier, E., Cortez, J., Billès, G., Navas, M. L., Roumet, C., Debussche, M., ... & Toussaint, J. P. (2004). Plant functional markers capture ecosystem properties during secondary succession.

*Ecology*,*85*(9), 2630-2637.-Suding, K. N., Lavorel, S., Chapin Iii, F. S., Cornelissen, J. H., DIAz, S., Garnier, E., ... & Navas, M. L. (2008). Scaling environmental change through the community‐level: A trait‐based response‐and‐effect framework for plants.

*Global Change Biology*,*14*(5), 1125-1140.-Zwart, J. A., Solomon, C. T., & Jones, S. E. (2015). Phytoplankton traits predict ecosystem function in a global set of lakes.

*Ecology*,*96*(8), 2257-2264.Scientists and engineers solve physical and mathematical models containing tens and hundreds of SI variables, and take into account a larger number of potential effects of interaction between them, using super-powerful computers and developed advanced mathematical methods. But this requires significant time and financial resources. In addition, with the current rapid development of science, the situation with the identification of truly revolutionary discoveries is complicated by the complexity of their identification (the idea of incommensurability of scientific theories): supporters of each paradigm see the world in their own way because of their scientific training and previous experience. They use a different conceptual framework and different ideas about scientific standards.

Is there a limit to our knowledge?

Inter-facial Tension (IFT), Combined Chemical (CC), Mathematical Model (MM)

how Silvaco solves the mathematical model. Is it using Finite Element Methods or Finite Difference Methods?

If we could find a mathematical model for each optimization problem, could mathematical programming replace meta-heuristic algorithms?

We use many mathematical models and state-space models in digital control systems. Before applying these concepts in real life scenarios, how useful (or less useful) it is to do a simulation in MATLAB?

I have predictions from mathematical models in the systems biology field, not yet confirmed experimentally. However, I would like to publish in pee-review journals free from publication charges.

In the 21st century, we can safely say that absolutely all modern achievements in the field of science are based on the successes of modeling theory, on the basis of which practical recommendations are given that are useful in physics, technology, biology, sociology, etc., are extracted. In addition, this is due to the fact that the application of the principles of the theory of measurements in determining the fundamental constants allows us to check the consistency and correctness of the basic physical theories. In addition to the above, the quantitative predictions of the main physical theories depend on the numerical values of the constants included in these theories: each new sign can lead to the detection of a previously unknown inconsistency or, conversely, can eliminate the existing inconsistency in our description of the physical world. At the same time, scientists have come to a clear understanding of the limitations of our efforts to achieve very high measurement accuracy.

The very act of measurement already presupposes the presence of a physical and mathematical model that describes the phenomenon under study. Simulation theory focuses on the process of measuring the experimental determination of values using special equipment called measuring instruments. This theory covers only aspects of data analysis and the procedure for measuring the observed quantity or after the formulation of a mathematical model. Thus, the problem of uncertainty before experimental or computer simulations caused by the limited number of quantities recorded in the mathematical model is usually ignored in measurement theory.

I have created a 2 dimensional mathematical model for a UAV in matlab. I also created a programmatic GUI for the UAV flight simulation. However, i now need to create a clock which displays the time for the flight of the UAV. How can i do this

Hai. I'm a young researcher. Just want to ask how can I verify my mathematical model if the model that I propose is based on the real problem. For example, I propose a mathematical model for a staff rostering based on real-problem, so how can I verify my model? and second question, how can I compare the result. If I make comparisons with the real result that is from the manual rostering, maybe it's like a bias because might be the result from my model can produce a better solution.

Is it possible to mathematically model a binary variable using continuous variables in the optimization problems?

For example, assume that 'X' is {0,1}. Can I define it as 0<=X<=1 in my problem and impose some additional constraints instead to force X to become only '0' or '1'?

I need to do further modeling on the voltage source inverter (VSI). Can anyone please tell me how to define the mathematical model of a voltage source inverter? Where can I find the transfer function for a VSI?

Growth of vapour bubbles occurs in a superheated liquid during the non equilibrium between vapour and superheated liquid. How to build the mathematical model?

My question is that what are the main steps needed to mathematically model a process e.g (natural process, evolutionary process, physical or chemical,.. and so on) to develop a novel optimization algorithm that is able to tackle real-world problems?

Residence time distribution for a tubular reactor follows semi empirical model, I want to know how can I use this RTD for predicting conversion of my system using mass balance equation for the tubular reactor( like axial dispersion model which consider reaction happening in the system as well as axial dispersion).

I am working on particular research work and there is a need for a mathematical model to be used on Convolutional Neural Network.

A mathematical model of temperature-dependent sex determination

of crocodile eggs

Gaze tracking technologies are used in a wide variety of applications. Most gaze tracking systems require a personal calibration process where the user is instructed to gaze at certain points before the system can be used. I focus on the relationship between the eye, camera, and light sources.

Some Mathematical expressions will be helpful.

Can a mathematical model be added to a paper on bean genetic and diseases manuscript?

I read in many articles a statement that best proximity point theory has applications in the field of Economics, game theory, biological science. But I want to see some physical problem that was mathematically modeled and then solved by using best proximity point theory or fixed point theory.

I need to have some mathematical models to predict rust creation and its growing rate on different commercial available steels in different atmospheric conditions. I consider temperature, humidity, distance from coast or salinity of air as input of the mathematical model. Other parameters can be considered

Dear experts,

Can we do mathematical modeling related to the predictions of our dreams?

If yes, then what will be the significance of such modeling, and if not, then what are the problems in such prediction modeling?

Hi everyone, i am making optimization for energy management system of EV charging station. I established the mathematical model objective function (minimization of electricity cost) and constraints then i made a Python simulation. In the simulation results, i got the charging station load profile (power profile and energy profile) the energy charged in the car is discharged later on in the charging station and i got in the end 0 cars charged. Anyone can help with ideas on how i limit the energy discharged to be equal only to the initial amount of the car and not every EV charged it discharge later. Thank you.

I need transfer function for the mathematical model of solute and fluid transport in human kidney for the simulation purpose.

I need plants with unknown terms in the mathematical model. Systems can be linear or nonlinear.

My mathematical model is giving results on single variable entry. I have a total of 250 variables and need to evaluate the results from the same model. Instead of putting values one by one, is it possible to import the 250 variables data in bulk and at the end get the separate results through one single model?

We want to connect different

**disciplinınary**with TIME SCALE,Which equation, mathematical model or differential equation is interested in electrical car battery ?

I wanna analyze forces between an ExoSuit and a Human for improving its design in terms of efficient actuation and safe interaction with the user. so I should derive a mathematical model. but:

- how I can validate the results?
- I know it is possible to use software like OpenSim, but they have just a human skeleton model and I need to define its coupled model with ExoSuit. can you share a contribution to this kind of problem?

I would be grateful for suggestions to solve the following problem.

The task is to fit a mechanistically-motivated nonlinear mathematical model (4-6 parameters, depending on version of assumptions used in the model) to a relatively small and noisy data set (35 observations, some likely to be outliers) with a continuous numerical response variable. The model formula contains integrals that cannot be solved analytically, only numerically. My questions are:

1. What optimization algorithms (probably with stochasticity) would be useful in this case to estimate the parameters?

2. Are there reasonable options for the function to be optimized except sum of squared errors?

is there any reference or published report can help me to make mathematical model? i do not have any experience in this object..

In 2018,

Which are the latest trends in studies of parameter tuning and control metaheuristics?

- Comparisons,

- Frameworks,

- Mathematical models,

- Demonstrations,

- Tools,

- Etc

Hello researchers.,

I am trying to find a simple mathematical model for getting the Tumor size variation during chemotherapy treatments. All most all of the models have been trained with the mice models. What are the simple mathematical models available to show the

**tumor size variation**which can be also validated with the real clinical data?Thanks so much in advance..!!!

Since the unfortunate appearance of COVID-19, there has been a massive number of mathematical models based on the SIR or SEIR models. A perusal of these has shown that the models are mainly numerical simulations to predict the course of the outbreak under varying conditions. Would an understanding of the disease dynamics be improved if equilibria or bifurcation analysis was incorporated?

we have three vehicles V1, V2, V3

V2, V3 in the same direction, while V3 is coming from the opposite direction

Three given speed s1, s2, s3 respectively . uniform speed.

The distance between V1 and V3 = D is also given.

The meeting point of V1, V3 is given.

d1 is the distance from V1 to the meeting point given.

d2 is the distance from V3 to the meeting point given.

d1+d2=D

The distance between V1 and V2= L1, given.

The parking distance L2 is the distance of V1 from V2 after the overtaking is given to m1+m2+10, m1, m2 are given which are the length of V1,V2.

How to mathematically calculate the safety distance (d) for safety overtaking?

I saw that NY City has more cases per capita than Italy. But this is looking only to confirmed cases. I would like to be able to compare the numbers of cases in places using different strategies to test the population. What would be a good model to compare, for example New York City with Milan?

I have increased side cutting edge angle in an Ap 15 30 45 60 and I got different trends from mathematical model and cutting experiments.So I want to know the actual physics of trend of cutting force with respect to increase in side cutting edge angle.