Share on FacebookShare on X (formerly Twitter)Share on PinterestShare on LinkedInLAPLACE (WVUE) - A 15-year-old boy is in custody and more arrests are promised following a wild shooting incident this month outside a Waffle House restaurant John the Baptist Parish Sheriff’s Office said Monday (April 21) “Detectives identified the juvenile as one of possibly several shooters,” the agency said in a social media post “He was arrested Friday (April 18) and is being held at a juvenile detention center The investigation is ongoing and additional arrests will be made.” witnesses told deputies that saw several males wearing ski masks walk around to the rear of the restaurant at 4304 Hwy The witnesses said they heard gunfire begin and hid in the restaurant’s bathrooms and office area until it stopped Video surveillance images of the incident posted by the agency showed a chaotic scene outside the restaurant with several individuals running and taking cover but investigators determined more than 40 shots were fired over a period of several minutes leaving several vehicles damaged by bullets The 15-year-old from LaPlace who was the first arrested was booked with illegal possession of a handgun by a juvenile and illegal use of weapons His identity was not disclosed by the sheriff’s office The agency said its detectives have identified “several of the perpetrators,” and that more arrests are pending “Several of these suspects were heavily armed,” the post said along with the violent criminal history of the suspects -- including charges for murder -- in order to ensure the highest level of public safety the decision was made to utilize SJSO SWAT to safely and efficiently apprehend those involved “Anyone who may have information regarding this incident is encouraged to call the St John the Baptist Parish Sheriff’s Office TIPS line (985-359-TIPS) or Crimestoppers (504-822-1111).” See a spelling or grammar error in our story? Click Here to report it Subscribe to the Fox 8 YouTube channel PAINCOURTVILLE: Assumption Parish Sheriff Leland Falcon reports the arrest of Ronald Lynn Clement charges following a traffic stop on LA 1 near LA 70 in Paincourtville on Friday afternoon A uniformed patrol deputy assigned to the I.C.E detail observed a vehicle commit a traffic violation and initiated a stop of the vehicle The deputy made contact with the driver now identified as Ronald Lynn Clement and engaged Clement in an officer / violator interview The deputy noted a strong odor of alcoholic beverages emitting from the suspect The deputy believed additional investigation was warranted and requested consent to search the suspect vehicle which was granted Pregabalin and noted spilled alcoholic beverages in the vehicle Ronald Lynn Clement remains incarcerated with bond set at $315,000 Contact us today for advertising opportunities on the radio and also on our website It’s the KQKI news site on your mobile device © 2023 Teche Broadcasting Corp. Weather Alerts provided by WillyWeather MassDevice The Medical Device Business Journal — Medical Device News & Articles | MassDevice March 17, 2025 By Sean Whooley Laplace Interventional announced today that it completed a Series C financing round to support its prosthetic heart valve technology An undisclosed global strategic investor led the financing round New investors Aphelion Cardeation and Unorthodox Ventures joined in the Series C as well The Minnapolis-based company also picked up funds from existing investors Engage Venture Partners Laplace plans to use the funds to aid in the completion of an early feasibility study (EFS) and work toward approval for a pivotal study The company develops a prosthetic valve device designed to improve the quality of life for those with tricuspid regurgitation (TR) Delivered through a minimally invasive procedure the valve doesn’t require open-heart surgery potentially reducing further complications “This round of financing marks a significant milestone for the company and further validates our progress over the past few years.” said Ramji Iyer physicians as well as new and existing investors for their continued support and look forward to working towards starting a pivotal trial.” Copyright © 2025 · WTWH Media LLC and its licensors The material on this site may not be reproduced except with the prior written permission of WTWH Media Privacy Policy Learn how to describe the purpose of the image (opens in a new tab) Leave empty if the image is purely decorative We're working on a visual shortcode editor until then please follow these instructions Email us to support@plugin.builders for any problems The Series C financing was led by a global strategic investor along with participation from new investors Aphelion Cardeation and Unorthodox Ventures Existing investors Engage Venture Partners JWC Venture and Features Capital also participated in the round Laplace Interventional plans to use the funds raised from this round towards completing their Early Feasibility Study (EFS) and work towards a pivotal study approval 2025 /PRNewswire/ -- Minnesota based Laplace Interventional a medical device company developing a transcatheter tricuspid valve technology announced today that it has completed its Series C financing led by a non-disclosed global strategic investor along with investments from Aphelion Capital JWC Venture and Features Capital. The company also announced the addition of Ned Scheetz Founding Managing Partner at Aphelion Capital to its Board of Directors Laplace Interventional's device aims to offer an improvement to the quality of life to patients worldwide diagnosed with Tricuspid Regurgitation (TR) Laplace Interventional is developing a prosthetic valve that is delivered through a minimally invasive procedure not requiring an open-heart surgery and thereby reducing future complications in patients "So far we have treated three patients in the Laplace EFS and all were discharged home within 1-2 days and are doing well This was our first experience with a dedicated transcatheter tricuspid valve replacement platform and we are highly impressed with the intuitive deployment and overall ease of use of the Laplace system in a variety of challenging anatomies," said Dr Interventional Cardiologist and Medical Director of Structural Heart at Providence St Laplace has enrolled 22 patients in the United States largely as part of their US EFS Study (and 25 globally) with encouraging results. "This round of financing marks a significant milestone for the company and further validates our progress over the past few years." said Ramji Iyer Founder and CEO of Laplace Interventional. "We are grateful to our patients physicians as well as new and existing investors for their continued support and look forward to working towards starting a pivotal trial." Laplace Interventional plans to use the funds raised from this round towards completing their feasibility study (US EFS and OUS) and work towards a pivotal study a venture fund formed to invest in innovative health care products services and technologies that align with the mission of the American Heart Association is proud to participate in this round of financing," said Ned Scheetz with Aphelion Capital "We are inspired by Laplace's innovative solution for TR and its potential to transform care for millions of patients worldwide." Caution: Laplace Interventional's device is in its development phase and is NOT approved or cleared by the FDA or any other regulatory body in any region of the world For more information:Laplace Interventional[email protected] Do not sell or share my personal information: Follow the Louisiana Sportsman Show Facebook page or the show’s website, LouisianaSportsmanShow.com and other Sportsman social media outlets for the latest news and developments This page is available to subscribers. Click here to sign in or get access. Registration is open for the 76th Annual Big Bass Fishing Rodeo and Fishtival at New Orleans City Park ©2025 Louisiana Sportsman, Inc., All Rights Reserved. Employee Information (WVUE) - Hurricane Francine flooded homes in LaPlace leaving his family struggling to salvage what they could “I don’t know if I should be sad or mad,” Payne said Payne estimated that 8 to 12 inches of water entered his home This marks the fourth time his home has flooded this year “I have a family and a two-year-old daughter who is old enough to understand why I can’t sleep in my own room that’s the hardest part of it,” Payne said also experienced flooding for the fourth time in 2024 “It started coming in from every part of my home.. but it was so much that we just had to let it come in,” McGee said Both Payne and McGee question whether the parish’s drainage pump was operating during the storm They say the backup generator didn’t activate until the following morning “Give us some type of hope that there is some help coming,” Payne said “Not just turn a blind eye because it’s only a couple of houses.” it’s in shambles because I don’t see any help anywhere whenever we have something like this,” McGee echoed See a spelling or grammar error in our story? Click Here to report it WGNO A Laplace teenager is in police custody following a shooting at an area Waffle House Lakeview Hospital is hosting a course designed to help prevent falls in seniors The New Orleans Police Department is trying to arrest a burglary suspect who wore a clown mask to disguise his identity the Den of Distinction has inducted only 22 outstanding alumni to come out of Loyola University's Communication and Design program Orleans Parish District Attorney's Office announces seizure of Central City car wash Fiesta in Lafreniere Park for Cinco De Mayo Fest Alleged accomplice in Kansas City reporter death case will face second-degree murder charge: KPD and Ro Brown to be inducted into the Loyola University Den of Distinction Cinco de Mayo & Happy Birthday Milton at Felipe's in Old Metairie Follow the Louisiana Sportsman Show Facebook page or visit the show’s website, LouisianaSportsmanShow.com Louisiana Sportsman Show will be held March 28-30 in LaPlace LAPLACE - A man was arrested after he allegedly shot his older brother during an argument stole a car to flee and attempted to dispose of the gun he used. John the Baptist Sheriff's Office were called to a hospital Tuesday night in response to a man with a gunshot wound shot him during an argument about family issues. He was arrested Wednesday morning after he allegedly stole a car a woman left running to warm up before she left He was pulled over at a nearby gas station when the car was reported stolen and was arrested Irvin was booked for second-degree battery theft of a motor vehicle and obstruction of justice Deputies recovered a gun on the side of the road Wednesday morning they believe to be the one used in the shooting. (WVUE) - Four people have been arrested and authorities are seeking the public’s help locating a fifth suspect accused of breaking into and ransacking a home in LaPlace John Parish Sheriff’s Office say a husband and wife reported that five people forced their way into their home and burglarized it around 11:15 p.m who wore masks and were dressed in all black ransacked the home and stole several items A 55-year-old man was reportedly struck in the head and required medical attention Four suspects have been arrested and charged with one count of aggravated burglary: They are currently being held in lieu of a $100,000 bond Detectives are still seeking Rashaad Roberson of Edgard for his suspected role He is to be considered armed and dangerous Authorities say he was last seen in the Westbank area of St Anyone with information is encouraged to contact Lt. Carolina Pineda, at 504-494-3840 or the St. John the Baptist Parish Sheriff’s Office TIPS line at 985-359-TIPS. Tips can also be submitted via the Sheriff’s Office website at stjohnsheriff.org or through CrimeStoppers at 504-822-1111 Metrics details Cancer encompasses various diseases characterized by the uncontrolled growth of abnormal cells which can invade healthy tissues and spread throughout the body making it the second leading cause of death worldwide This study presents a fractional cancer treatment model with immunotherapy to enhance understanding of cancer’s mathematical framework and behavior The model comprises fractional differential equations analyzed using the Caputo-fractional derivative aiming to control cancer growth while considering cell population metrics A framework integrating various homotopies and Laplace transforms is developed to explore cancer’s complexities Simultaneous solution profiles for effector immune cells and tumor cells illustrate their mutual influence The model examines parameters such as the death rate of immune cells rate of immune cells killing fractional tumor cells and numerous others graphically for clarity The fractional parameter $\beta$ is visually represented through 2D This comprehensive analysis validates the proposed approach suggesting its applicability to other complex cancer treatment models for better decision-making in cancer treatment likely applied to the disease due to the resemblance of cancer’s finger-like projections to the shape of a crab Celsus was the one who later transcribed the Greek word into ’Cancer’ which is basically a latin word for crab Although the sixteenth century researchers and scientists laid down the path for scientific oncology it was not until the nineteenth century that mankind could finally microscopically analyze the disease and led to researchers being capable of presenting numerous treatment models to cure some kinds of early stage cancers cancer treatment model using immunotherapy is being analyzed in a fractional framework in Caputo sense The Caputo type fractional derivative is gaining traction in cancer modeling because it effectively captures memory and hereditary effects in biological processes This method enables more accurate representations of tumor growth dynamics and the interactions between cancer cells and effector cells in the body The Caputo fractional derivative provides a solid framework for tackling initial value problems across various fields memory-dependent systems while facilitating intuitive initial condition setups Its versatility and relevance make it a valuable tool in both theoretical and practical applications The main aspect of cancer treatment is taken to be immunotherapy which is scrutinized in detail by taking all the parameters such as immune cells death rate tumor cells growth rate and many others by carefully examining the implications each has on the treatment model The Caputo’s time-fractional derivative $^{C}{\mathbbm {D}}_{t}^\beta$45 for any function ${\mathcal {T}}(t)$ can be defined as: where $\beta$ is the fractional order at any time ’t’ and $\kappa$ $\in$ $\mathbbm {N}$ which majorly comprises of two different categories i.e. $\mathbbm {E(t)}$ and $\mathbbm {T(t)}$ at any specific time ’t’ which represents the number of Effector immune cells (the cells which fight cancer or in other words tumor-suppressive cells) and Cancer Tumor cells (tumor causing cells) respectively Consider the following system using Immunotherapy as: Table 1 provided below describes all the various parameters involved in the used model which will be further applied in our next sections to arrive at the conclusion of what impact any of these have on the overall cancer tumor profile Mathematical model is effective when the system solution remains non-negative and the initial condition stays positive for all $t>0$ we establish the above notion theoretically The Solutions of the model is Non-Negative or Positive for all $t>0$ and given initial conditions ${\mathcal {R}}(0)>0$ where ${\mathcal {R}}(t) = (\mathbb {E},\mathbb {T})$ Consider the Effector cells Equation of our Cancer Model given in Eq. (3) : Now we assume: $\mu _{1}(t)=\frac{\rho \mathbbm {T}}{\alpha + \mathbbm {T}} - {\mathcal {C}}_{1}\mathbbm {T} -{\mathcal {D}}_{1}$ and $\mu _{2}(t)={\mathcal {S}}$ By applying Integrating factor concept we arrive at: the Solution of the above equation becomes: it can easily be shown that $\mathbbm {T}(t)$ is also positive for all time $t>0$ For any two functions $\mathbbm {{E}}_m(t)$ and $\mathbbm {{E}}(t)$ defined within a Banach space the approximate solution of the fractional model approaches its exact solution with the constant $\mathbbm {C}$ is confined to the interval $(0,1)$ Consider the sequence of partial sums $\{\mathbbm {S}_m\}$ We need to demonstrate that ${\mathcal {S}}_m$ forms a Cauchy sequence in the Banach space for the partial sums $\mathbbm {S}_m$ and $\mathbbm {S}_n$ with $m \ge n$ and $m applying the triangle inequality results in: After substituting (10) in (11) we get: thus it gives \(1- \mathbbm {C}^{m-n} < 1$ $\mathbbm {E}_0$ is already bounded therefore Equation (14) demonstrates that $\mathbbm {S}_m$ is a Cauchy sequence within a Banach space This property is significant because it confirms the convergence and stability of the He-Laplace algorithm the Cauchy criterion asserts that for any specified level of accuracy there exists an index beyond which all terms of the sequence remain arbitrarily close to one another this finding not only strengthens the mathematical foundation of the algorithm but also ensures that it will yield stable and consistent results as m approaches infinity The proposed methodology for the solution and analysis in this study is He-Laplace algorithm which brings together an integration of Homotopy perturbation method along with Laplace transform in order to create a more efficient and effective way of tackling complex fractional systems The Laplace definition of Caputo fractional derivatives is also applied on the Fractional part whereas the non-fractional part utilizes the traditional Laplace transform method time fractional system of ordinary differential equations of the following form: where the unknown functions ${\mathcal {T}}(t)$ and ${\mathcal {E}}(t)$ are depending on time only and the time fractional derivative here is ${\mathbbm {D}}_t^\beta$ and $g_{1}(t)$ The fractional parameter is $\beta$ and ${\mathcal {L}}$ and ${\mathcal {N}}$ here represent the linear and non linear operators respectively and $\xi _{1}$ $\xi _{2}$ are random constants in each equation The Algorithm begins by applying Laplace Transform $\mathbbm {L}$ on (15) by which we obtain: By applying the fundamental definitions provided in Sect. 2, we can determine the Laplace transform of the fractional derivative. Definition 2 provides: where ${\mathcal {T}}_{0}(t)$ and ${\mathcal {E}}_{0}(t)$ are the initial guesses By using Taylor series expansion of ${\mathcal {T}}(t)$ and ${\mathcal {E}}(t)$ with respect to s gives rise to: After substituting Eq. (21) in homotopy Eqs. (19) and (20) and comparing similar coefficients of s we obtain the first order problems at $s^{1}$ as follows: Application of the Inverse Laplace transform leads to: The $k^{th}$ order problems at $s^{k}$ is given by: Operating the Inverse Laplace Transform on above problems leads to $k^{th}$ order solution accordingly The approximate solution of the given general time-fractional ODE system is: In certain instances and under some conditions we come across highly non-linear differential equations comprising of exponential trigonometric and non-trigonometric terms which make it rather difficult to solve such problems using the readily available methods in literature He-Laplace tends to acquire series form solutions which are worthy alternatives to closed form solutions A complete step by step procedure for the application of He-Laplace on any system of FDE will be provided in our next section When considering differential equations in a fractional framework attaining an exact solution is mostly not possible therefore comes the need to solve such complex fractional systems by using various kinds of numerical solutions He-Laplace technique has been applied to the above system of FDEs to solve the model equations and to make an articulate and logistical analysis Consider the cancer model as Eqs. (3) and (4) and applying Laplace Transform and also by utilizing definition 2 Now creating homotopies for our fractional system by using the concept of Taylor series expansion we arrive at the following form for both the Effector and Tumor cells as shown below: where the conditions in 5 are used as the initial approximations or the zeroth order solution Now, by using Taylor series expansions from (29) and (30),we substitute them back into homotopy Eqs. (28) Now comparing coefficients for different powers of ’p’ will subsequently produce various order problems or equations: Applying Inverse Laplace transform gives rise to the following first order solution: applying Inverse Laplace Transform leads to the following second order solution: higher-order problems and solutions can be attained The final series form approximate solution of the above system of cancer-tumor model is given by Eq. (33) for both the Effector and Tumor cells respectively. Initially, we begin by studying the effect of fractional order on the cancer-tumor model: Impact of different values of fractional order $\beta$ Further, we see the impact that the flow rate of immune cells into the site of cancer tumor has on the entire model as well. ${\mathcal {S}}$ is defined as the regular rate of flow of the immune cells into the tumor site. Effect of Regular rate of flow of immune cells into tumor site ${\mathcal {S}}$ on Cancer Model while taking $\beta =0.9$ Figure 2 shows the effect of the rate of flow of the immune cells into the tumor site on the model under examination In this particular instance the value of $\beta$ has been taken to be 0.9 to examine the exact impact that ${\mathcal {S}}$ has on the entire system The values of ${\mathcal {S}}$ have been taken in an increasing order from ${\mathcal {S}}=0.8\times 10^{4}$ to ${\mathcal {S}}=1.2\times 10^{4}$ which depicts that we are increasing the flow rate of immune cells entering the tumor site at any time t there can be seen an increment of effector cellls and as synchronous decrease of tumor cells The reason being that more amount of immune cells have been introduced into the body so the strength of a person’s immune system has increased and consequently it can be estimated that higher the flow rate of immune cells the lesser the growth of tumor cells and the more the number of effector cells in the body Effect of recruitment rate of immune cells $\rho$ on Cancer Model while taking $\beta =0.8$ Effect of recruitment rate of immune cells ${\mathcal {C}}_{1}$ on Cancer Model while taking $\beta =0.8$. Effect of killing rate of tumor cells by immune cells ${\mathcal {C}}_{2}$ on Cancer Model while taking $\beta =0.9$ as the killing rate of a specified small portion of tumor cells rises the overall effector cells profile also seems to be showing an increasing behavior the Overall tumor profile does not have much impact on the smaller portion of tumor cells being killed the reason is that the number of tumor cells killed might be very little as compared to the overall number of tumor cells present in the body their effect is very little or negligible when viewed as bigger picture the impact of death rate of fractional cells by immune cells shows an interesting yet unpredictable behavior overall Effect of killing rate of tumor cells by immune cells ${\mathcal {D}}_{1}$ on Cancer Model while taking $\beta =0.8$ Effect of Immune cells attraction coefficient $\alpha$ on Cancer Model while taking $\beta =0.8$ Effect of Intrinsic growth rate r on Cancer Model while taking $\beta =0.9$ Effect of Carrying Capacity Inverse b on Cancer Model while taking $\beta =0.99$. It is seen that increase in time and $\beta$ when this cancer model using immunotherapy is applied effector immune cells will eventually increase and the cancer tumor cells will consequently decline in number In all of the above Figs. from 10a to 11i displayed with the varying parameters in our cancer model it can be seen that effector cells seem to be aligned with the paramters positively impacting immune cells whereas tumor cells seem to be decreasing with all parameters causing a decrease in cancerous cells in the body This cancer model works most effectively when applied on a person when they are in the initial stages of cancer since immunotherapy is one of the initial treatments applied where cancer is not too strong and this therapy can be applied so as to stop it from spreading to other body parts where more complex treatments would be required While we have optimized our current comprehensive numerical and graphical study to accurately represent the cancer treatment model The parameters utilized in the model may not account for all variations present in biological systems because cancer as mentioned earlier is in itself yet a mystery to be solved tried to capture this cancer model as efficiently as possible as explained and displayed in detail through our 2D and 3D plots the findings of which in itself justify the study Contour Analysis of cancer cells against fractional parameter. Contour plotting of cancer cells against logistic growth rate The primary goal of this study was to develop a new solution for fractional cancer immunotherapy model using the He-Laplace procedure and to analyze the results By applying a mixed algorithm of the Homotopy Perturbation Method (HPM) and the Laplace transform we obtained a series solution for a nonlinear system of fractional differential equations (FDEs) We focused on two solutions: effector and tumor cell dynamics evaluated through detailed graphical analysis across nine parameters Our findings indicate that varying the fractional parameter $\beta$ led to an increase in effector cells and a decrease in tumor cells highlighting the effectiveness of the fractional approach Increases in the rates of immune cell flow to the tumor site and rate of immune cells killing fractional tumor cells correlated with rising effector counts and declining tumor numbers carrying capacity parameters and logistic growth factors contributed to tumor growth and effector decline Comprehensive 3D and contour analyses reinforced the model’s effectiveness in depicting cancer-tumor interactions supporting the notion that immunotherapy is a powerful treatment strategy we aim to correlate our simulations with real data to enhance their relevance to real-world scenarios and deepen our understanding of cancer treatment complexities our proposed method demonstrates strong potential for application to other nonlinear and complex systems in fields such as bio-mathematics All data generated or analysed during this study are included in this published article Mathematical Modeling of Cancer Tumor Dynamics with Multiple Fuzzification Approaches in Fractional Environment (Springer International Publishing Cancer disease and its’ understanding from the ancient knowledge to the modern concept A brief history of cancer: Age-old milestones underlying our current knowledge database Understanding What Cancer Is: Ancient Times to Present Serum adiponectin level and different kinds of cancer: A review of recent evidence The evolution of the use of mathematics in cancer research (Springer Science & Business Media Cancer immunotherapy principles and practice Mathematical modelling of the efficacy and toxicity of cancer chemotherapy Mathematical modelling of radiotherapy strategies for early breast cancer Addressing current challenges in cancer immunotherapy with mathematical and computational modelling A short history of mathematical population dynamics New solutions of time-fractional cancer tumor models using modified he-laplace algorithm Fractional modeling of cancer with mixed therapies Noninvasive urinary metabolomic profiling identifies diagnostic and prognostic markers in lung cancer Mathematical modeling the pathway of human breast cancer Mathematical modeling of cancer: The future of prognosis and treatment Mathematical modeling of cancer growth process: a review Mathematical model creation for cancer chemo-immunotherapy Mathematical modelling of cancer invasion of tissue: Dynamic heterogeneity Applications of fractional calculus in physics New solutions of time-fractional (3 + 1)-dimensional schrödinger model with multiple nonlinearities using hybrid approach in caputo sense Critical ${\text{Reviews}}^{\text{ TM }}$Biomed Modeling and simulation of blood flow under the influence of radioactive materials having slip with mhd and nonlinear mixed convection Heat and mass transfer with entropy optimization in hybrid nanofluid using heat source and velocity slip: a hamilton-crosser approach Fuzzy-fractional modeling and simulation of electric circuits using extended he-laplace-carson algorithm Modeling and analysis of the fuzzy-fractional chaotic financial system using the extended he-mohand algorithm in a fuzzy-caputo sense Mathematical modeling of allelopathic stimulatory phytoplankton species using fractal-fractional derivatives Modeling and simulation of covid-19 disease dynamics via caputo fabrizio fractional derivative Improving influenza epidemiological models under caputo fractional-order calculus A coupling method of a homotopy technique and a perturbation technique for non-linear problems Application of homotopy perturbation method to nonlinear wave equations Soliton solutions of generalized third order time-fractional kdv models using extended he-laplace algorithm Fuzzy-fractional modeling of korteweg-de vries equations in gaussian-caputo sense: New solutions via extended he-mahgoub algorithm New solutions of time- and space-fractional black-scholes european option pricing model via fractional extension of he-aboodh algorithm Generalized fractional model of heat transfer in uncertain hybrid nanofluid with entropy optimization in fuzzy-caputo sense On fractional caputo operator for the generalized glucose supply model via incomplete aleph function Mathematical analysis of streptococcus suis infection in pig-human population by riemann-liouville fractional operator A mathematical study of a coronavirus model with the caputo fractional-order derivative On the fractional-order circuit design: Sensitivity and yield Laplace transform method for sequential caputo fractional differential equations Understanding fractional integrals and their applications Qualitative behaviour of a model of an sirs epidemic: Stability and permanence Download references This research did not receive any specific grant from funding agencies in the public National University of Computer and Emerging Sciences Mathematics in Applied Sciences and Engineering Research Group and A.G.; Supporting of materials reagent and data analysis tools: M.Q and A.G.; Data analysis and interpretation: M.Q. and A.G.; Design experiments and supervision: M.Q.; Perform experiments: S.N.; Results validation: I.S.; All authors have read the final version of this manuscript and agreed to publish it The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations Download citation DOI: https://doi.org/10.1038/s41598-024-82170-8 Anyone you share the following link with will be able to read this content: a shareable link is not currently available for this article Sign up for the Nature Briefing: AI and Robotics newsletter — what matters in AI and robotics research LAPLACE — A 12-year-old was arrested Tuesday after the sixth-grader brought an unloaded handgun to LaPlace Elementary School John the Baptist Parish deputies said they arrested the student after a teacher found the boy with the gun inside his pants' waistband The student gave the teacher the gun when questioned about it John the Baptist Parish Sheriff's Office for promptly addressing.. John the Baptist Parish School Board Superintendent Dr were shot and killed inside Tate's LaPlace home on Friday were booked with two counts of first-degree murder and one count of attempted first-degree murder in the deaths of Sa'Miya McClain and Ron Tate stands flanked by detectives from his department on Monday as they discuss the investigation into a triple shooting on North Sugar Ridge Road in LaPlace that claimed the lives of 11-year-old Sa'Miya McClain and her uncle A bullet hole marks the brick on the front of a home on North Sugar Ridge Road in LaPlace where three people were shot A single bullet punched through the front door of Robin Tate's North Sugar Ridge Road home in LaPlace on Fright night The same bullet also injured her 24-year-old daughter The family fell victim to two gunmen who were targeting a man that happened to be walking past their house Two men gunning for revenge after they'd been beaten up Friday evening opened fire on a LaPlace street hours later but missed their intended target, instead killing an 11-year-old girl and her uncle who were inside a nearby house John the Baptist Parish Sheriff Mike Tregre on Monday announced the arrest of two suspects in the case Both were booked with two counts of first-degree murder and one count of attempted second-degree murder They are also facing additional charges from the earlier altercation that led to their alleged beatings The victims, Sa'Miya McClain, of New Orleans, and Ron Tate were killed by a single stray bullet that ripped through the front door of Tate's home in the 1300 block of North Sugar Ridge Road "These were two totally innocent human beings," Tregre said Robin Tate's 24-year-old daughter was also wounded in the shooting but survived "This isn't right for them to not be here," Robin Tate said sobbing on Monday which was recorded by a home surveillance system known affectionately as "Kash," was visiting her aunt and uncle as they prepared to throw a birthday party for the couple's 3-year-old grandson Robin Tate was in bed while her daughter and Sa'Miya worked to blow up balloons Ron Tate was about to leave for a shift as a self-employed truck driver when gunfire erupted outside One bullet punctured the metal front door and struck Robin Tate's daughter in the leg before piercing Sa'Miya’s heart The bullet continued through Ron Tate's leg but her injured daughter covered her face and pulled her out of the house I’m hit,’” Robin Tate recalled of her husband Both Sa'Miya and Ron Tate were taken to a hospital completely unaware of the chaos occurring just outside their front door In video shared during a news conference Monday afternoon Tregre pointed to a man seen walking in front of the Tates' home as two gunmen positioned across the street opened fire at him John detectives who responded to the hospital after the shooting learned of a woman who'd been pistol-whipped earlier in the night She was being treated at the same facility and investigators quickly realized that her case was linked to the deadly shooting pistol-whipped the woman during an argument near a football game while Maxon kept other witnesses at bay The person or persons thought to be responsible for beating up Foster and Maxon lives on the same street as the Tate family He is the one seen on video walking in front of the Tate home when the shooting began "It sounded like a machine gun going off," nearby resident Maryann Wancket Flying bullets shattered the windows of six vehicles Investigators said they believe about 25 rounds were fired and I've never had any problems like this," Wancket said Sheriff's Office detectives used crime cameras to track the suspects after they fled from the neighborhood The men went to Jefferson Parish where they were taken into custody Saturday morning Can't see the video above? Click here. Foster and Maxon were booked with carrying a firearm on school property or at a school-sponsored function and seven counts of aggravated criminal damage to property Foster was booked with aggravated battery in the pistol-whipping while Maxon was booked with aggravated assault The Tate family was adamant Monday that they were not the intended targets of the shooting "We don't bother anybody," Robin Tate said Tate was shocked and disappointed by their young ages But she was determined to do everything in her power to get justice for her husband and niece "but I'm never going to let them see the light of day." Email Michelle Hunter at mhunter@theadvocate.com Email notifications are only sent once a day News Tips:nolanewstips@theadvocate.com Other questions:subscriberservices@theadvocate.com Your browser is out of date and potentially vulnerable to security risks.We recommend switching to one of the following browsers: New investors Unorthodox Ventures and Aphelion Cardeation contributed to the funding round US medical device company Laplace Interventional has completed a Series C financing round to support the completion of an early feasibility study (EFS) of its transcatheter tricuspid valve (TTV) technology which will also be leveraged to approve a pivotal trial the device is tailored to improve the quality of life for patients with tricuspid regurgitation (TR) offering a minimally invasive alternative by eliminating the need for open-heart surgery and minimising complications for these individuals An undisclosed global strategic investor led this financing round while attracting contributions from new investors Unorthodox Ventures and Aphelion Cardeation and Engage Venture Partners also took part in the Series C round Laplace Interventional CEO and founder Ramji Iyer said: “This round of financing marks a significant milestone for the company and further validates our progress over the past few years. physicians as well as new and existing investors for their continued support and look forward to working towards starting a pivotal trial.” Don’t let policy changes catch you off guard Stay proactive with real-time data and expert analysis the company completed its first-in-human procedure using the Laplace transcatheter tricuspid valve replacement system The procedure was performed by Drs George Makdisi and Thomas Waggoner at the US Heart and Vascular Institute at Tucson Medical Center with Dr Pradeep Yadav at Piedmont Heart Institute serving as a clinical proctor It was carried out under the Food and Drug Administration-approved EFS clinical protocol which was used to assess the technical feasibility and safety of the system The device is still currently under development and has not received approval or clearance from the US regulator or any other regulatory authorities In July 2023, Laplace closed a $12.9m Series B financing round which was allocated for the initial trials of its transcatheter valve system Give your business an edge with our leading industry insights View all newsletters from across the GlobalData Media network Three arrested in LaPlace fentanyl lab drug bust These technologies have been displacing open-heart valve surgical procedures worldwide in recent years a US-based medical device company focusing on transcatheter valve technology recently announced the successful completion of a Series C funding round worth $22 million The funding will be put towards an early feasibility study designed to determine the clinical effectiveness and safety of Laplace’s transcatheter tricuspid valve replacement system the trial would be an important step towards regulatory approval and market access Transcatheter valve replacement technologies have been displacing open-heart valve surgical procedures worldwide in recent years Major medical device companies such as Edwards Lifesciences Medtronic and Abbott already have transcatheter valve devices available on the market for several kinds of valve replacement procedures The largest markets for these devices include aortic and mitral valve replacements The transcatheter tricuspid valve device market is both newer and smaller mostly due to the lower number of possible procedures but still promises to be a lucrative market for interested parties Funding for smaller companies such as Laplace is vital to ensure continued innovation and development in these new medical device spaces According to the GlobalData Medical Intelligence Center the global transcatheter tricuspid valve repair and replacement market was worth $230.4 million in 2024 If Laplace can successfully push its transcatheter tricuspid valve to market the company still faces steep competition from existing medical device companies with expertise in the transcatheter valve repair and replacement market space such as Edwards Lifesciences and Abbott Laboratories both of which already have tricuspid valve products available on the market Competition in the medical device space is important to ensure continued innovation and research If Laplace can prove the safety and efficacy of its device to regulators it could spark additional competition in the space as companies try and establish market dominance Increased competition could also bring about increased patient outcomes and procedure volume as the devices become more commonplace and effective View all newsletters from across the GlobalData Media network. Volume 15 - 2021 | https://doi.org/10.3389/fnhum.2021.736761 Recent attempts to establish the quantum boundaries of life is pursued A pre-existing view of quantum biology is supplemented by the formulation of modern advances in theoretical chemical physics and quantum chemistry The extension to open system dynamics entails a self-referential amplification supporting the signature of life as well as consciousness via long-range correlative information The associated negentropic coherence permeates hierarchical and functional organization at multiple levels In this communication we will derive and review one of the most important mathematical tools the combined use of the Fourier- and the Laplace transform It is shown that an underlying operator algebra facilitates the formulation of the conjugate relationship between energy-time and momentum-space Implications from augmented general dilation analytic operator families provide novel information-based representations and yield which are required to support the quantum Darwinian view of life such as the actual relevancy of the adiabatic approximation and the conceived remnant of residual quantum superpositions in the enveloping hot and wet environment of the brain there seems to be no proof that any neural activity is sufficient for consciousness where S is the entropy of an open system such as the brain Elaborating on a thermodynamical quantum picture with the system immune against decoherence one is able to derive the transition density matrix in terms of the phase-locked quantum states {ψk};k = 1,2,n, where ρtr is a steady state solution of the Liouville equation fixed at appropriate temperatures and time scales (Brändas, 2019, 2021). The quantum nature of the formulation proves that the logical possibilities of philosophical zombies should be ruled out by the no-cloning theorem (Wotters and Zurek, 1982) Note that the associated matrix representation in the basis |ψ⟩ results in the nilpotent matrix J with the consequences that the resolvent of the degenerate Hamiltonian that builds the Liouvillian, exhibits a higher order pole of dimension n with the result that the related propagator generates a polynomial-delayed evolution exhibiting Poissonian characteristics (Brändas, 2019) The theory of the Fourier Transform provides an enormous field (see e.g., Reed and Simon, 1978), or the fundamental, historical and practical treatments reviewed by Lützen (1982) Our intention is not to supply another review of the subject rather we will start at a very simple level to prepare an overall idea that includes generalizations to complex mappings between Cauchy representations of meromorphic functions and finally involving the representation of a certain family of non-normal operators Let us take the usual model of the transform between the correlation function g(t) and its transform f(ω) (assuming standard existence conditions for the integrals) where for simplicity one might associate t with time and ω with frequency (ℏ = 1) In its discrete form on a finite interval one finds the connection with the standard Fourier series in harmonic analysis Note also that the Laplace transform can be obtained by replacing integration intervals and variables accordingly (β > 0) We will later combine variables and intervals into a suitable Fourier-Laplace transform in order to derive and analyze general relations between propagators and resolvents Note that a direct inversion of the function f(ω) ≡ 1 ensues from the δ-function representation Let us first consider a simple extension of the frequency ω (or energy) to the field of complex numbers z and consider the integral where the contour C for instance can be chosen (−∞, + ∞) to recover the Fourier relations above. Choosing C to run from 0 to + ∞, with it = β one recovers the Laplace transform. In order to see how these two transforms will combine we will first study the case, cf. the work of Carleman (1944) discussed and emphasized in Lützen (1982) where below Θ(±t) is the Heaviside step function being zero for negative- and one for positive arguments where the contour C+, is depicted in Figure 1 and C− correspondingly running counter clockwise below the real axis and closed in the upper halfplane assuming appropriate convergence conditions and univocally by the limit R→∞ The contour C+ displayed as the finite interval [−R + R] at a finite distance ε above the real axis the integral can be simply evaluated as the sum of residues of the poles of the actual function inside C+ + CR with z = ω + iε,ε > 0 yielding a result independent of ε > 0 Next, we prove the remaining relation of Eq. (1), by considering the integral with the contour as displayed in Figure 1, with t,δ > 0, using the residue theorem (Ahlfors, 1979) One realizes that closing the contour in the lower complex halfplane leads to with C = C+ + CR and letting R→∞ In ascertaining the last relation we have utilized the following estimates applying the standard change of variables and omitting the details in the next two terms the first term vanishes since sin⁡θ is negative in [−π < θ < 0] sin⁡θ≈θ that the second term vanishes Performing a similar analysis for C− and z = E−iδ the proof of Eq Taking the time derivative one formally gets the Fourier relations between the unit- and the delta function which under appropriate circumstances represents distributions working on functions being properly bounded on respective complex halfplanes In Eq. (2) the contour C means C+ for t > 0 and C− for t < 0. Replacing z→(z−H) gives trivially the formal relations (3) below, if H is a real constant. The question is what happens when H becomes an operator with a spectral representation as indicated in Figure 2 This begs a clarification, since so-called complex resonance eigenvalues have been added to the spectral classification (Balslev and Combes, 1971) but first we will treat the case of a self-adjoint operator H with a real spectrum Here all the bound states pile together at the origin while the associated resonances fall down on the negative imaginary axis the extension to represent operators and their associated Fourier relations follow unambiguously Consider first the retarded-advanced propagator GP±⁢(t) and its resolvent GR(z) comprising the various general situations encountered in quantum chemistry and chemical physics The rationale of this observation will be clear further below With the operator H exhibiting the spectral expansion, for an extension to the Liouville picture (see Obcemea and Brändas, 1983) with the spectral measure μ(E) simply defined from resolution of the identity I in terms of the eigenvalues of the Hamiltonian {ψk,ψ(ω)} with ⟨ψk|ψl⟩ = δkl ⟨ψk|ψ(ω)⟩ = 0 and ⟨ψ(ω)|ψ(ω′)⟩ = δ(ω−ω′) spanning the actual Hilbert space The spectral measure is here accompanied by a spectral function displaying steps at the discrete points in σP(H) and exhibiting a locally integrable function in the continuum one needs to know what happens at the boundary where the limits from each halfplane meet Introducing the explicit operator representations one gets Anticipating complex resonance eigenvalues (Balslev and Combes, 1971, see Figure 2) one realizes that the spectral contour must also be extended to the complex z-plane while observing that analyticity requirements of the Greens function being regular in the upper complex half plane sets up mathematical requirements for analytic continuations into the lower half plane and vice versa for the other half We will return to these conditions and its consequences below In order to turn the abstract operator representations above into a more concrete functional relation we introduce a suitable normalized reference function From ⟨φ|φ⟩1 follows where we have introduced the Stieltjes integral via the spectral function ρ with jumps |ck|2 at the points ωk of σP and represented by the continuous function |c(ω)|2 at σAC The operator relations above can now be represented as In order to study the spectral function in more detail we will consider the integral below at a point E in σAC Taking the limit ε→0 + 0 one obtains where 𝒫 denotes the Cauchy principal value of the integral signifies a so-called Kramers-Kronig relation employed to relate the real and imaginary parts of a complex function such as a physical response function or an electric susceptibility Note that the interesting information comes from the evaluation of the function |c(ω)|2 as it is defined in σAC while the jumps are determined by |ck|2 above A simple proof of the relation involving the imaginary part of (8) follows from the simple fact that which can be derived as follows. Consider a general function f(x), which decays appropriately in the complex plane (see Figure 1) If C is a contour running from −R to + R and closed in the upper half plane with an analogous result obtained if the contour runs in the lower half plane The result involves the following limiting procedure of the integral over CR The other limit ε→0−0 follows Symbolically one can now write the general operator equations corresponding to the retarded-advanced propagator defined in Eq These operator representations are related through the Fourier transforms Eq The step from functions to operators have been reduced to a technicality in terms of an appropriately defined spectral function Since we have separated the retarded and advanced parts one is able to transverse the complex plane under straightforward assumptions of asymptotically decaying functions in the appropriate complex halfplanes Finally we note that the so-called causal Greens function can be written G=+i⁢GP+⁢(t)-i⁢GP-⁢(t)=e-i⁢H⁢t Summarizing we have derived the following Fourier transforms between the propagator GP(t) and the resolvent GR(z) where the retarded-advanced form of (9) guarantees that the analyticity requirements referring to the appropriate complex halfplane matching the proper time direction with functional properties relating to each halfplane separately we will refer to the Fourier-Laplace transform in what follows Let us summarize the formulas above and rewrite the Schrödinger equation in a slightly more general form which in its retarded-advanced form contains an inhomogeneous memory term ψ(0) and the time independent Fourier related equation Note that in principle there could be different limits as ψ±(t)t→0 which for E ∈ σAC(H) becomes subjected to the principal value form A portrayal of the simple case of the Hamiltonian black dots on the negative real energy axis rotated −2θ around the origin The contour γ defining the Cauchy representation of f(z) in the case (A) referring to the situation displayed in Eqs 8) and in the case (B) after analytic continuation (C,D) are adapted after the spectral domains in each case Note that the resonance eigenvalue may be complex zi = Ei−iεi with the physical interpretation of the imaginary part εi = ℏ/2τ usually being inversely related to the lifetime τ of the state In order to establish the generalized picture anticipated in Figures 2, 3, we return to the function f(z) defined and represented in Eqs. (7, 8). Using Cauchy’s integral formula, with γ defined in Figures 4A,B below In fact the relations derived above adapt, as pointed out, with minor changes to the situation where the contours C have been adjusted accordingly (Brändas, 1997) there is the difficulty of multiple eigenvalues and their block structure that applies to general non-normal operators those that do not commute with their own adjoints This seriously complicates the matrix problem since it introduces degeneracies associated with irreducible matrix blocks which in its classical canonical form is represented by the unit matrix times the degenerate eigenvalue superimposed on n-dimensional matrix blocks with zeroes along the main diagonal and with the super-diagonal composed of ones creating novel possibilities to map complex enough systems in biology at far from equilibrium situations In principle we have obtained a general Fourier-Laplace relation between the propagator GP±⁢(t) and the resolvent GR(z) as given by Eq The degenerate situation is simply incorporated in the standard self-adjoint picture since the degeneracy of an eigenvalue is trivially characterized by diagonal operators with the degenerate eigenvalue multiplied by the unit operator I represented as a unit matrix in the space spanned by the degenerate eigenfunctions of H Hence for H = EI one obtains directly the formal relationship chosen the contour of the line integral to be the unit circle in the complex plane with the origin at E and running counter clockwise Since we are dealing with dilation analytic operators E could here be complex with a negative imaginary part It is straightforward to translate the result to matrix algebra and carry out the steps with results analogous to Eqs the procedure can in principle be applied to H(η) This begs the question what happens in the general case where multiple degeneracies appear in the resolvent accompanied by irreducible Jordan blocks of corresponding dimensions It is customary to characterize the order of the Jordan blocks of a particular degeneracy by its dimensions with its n-dimensional matrix representation J As a result the corresponding operator J is nilpotent yielding the Segrè characteristic associated with J where α is a complex number given by the nature of the physical problem after expansion of the exponential and the inverse around z = E give where for simplicity we have taken the Segrè characteristic to be n = 2 Note that one should have obtained the same result by mnemonically determine the residue by formally inserting H(η) even if it is a non-normal operator containing a nilpotent part J This is clearly consistent with the original definition and separate evaluation of the resolvent and the propagator which both trivially exhibits finite operator expansions due to the nilpotent property of J (12) in more detail to realize the consequences of the present operator formulation For instance introducing two orthonormal degenerate solutions χ1,χ2 corresponding to the degenerate subspace related to the eigenvalue E of H Returning to the meromorphic function f(z) defined in Eqs where the resolvent has the degenerate structure indicated above Employing again the Fourier-Laplace transformation One general way to identify hidden degeneracies would be to employ the argument principle The correspondence is carried further as it reverberates with a simple operator algebra treatment commensurate with Einstein’s equivalence principle This surprising correlation reflects an intrinsic self-referential characteristic of a living system authorizing degenerate maps as self-organizing units of life forms and evolving organisms and their communication This gives an alternative interpretation of Gödel’s celebrated result that formal axiomatic systems are inherently limited Finally we will present some basic applications that exhibits the relationship between general operator relations formally interpreted as Fourier-Laplace duals suggesting isomorphic connections between material systems and their abstract spatial and temporal evolutions in order to obtain a rigorous extension of quantum dynamics to incorporate a non-self-adjoint formulation The need for these extensions is quite obvious since otherwise there might appear some unexpected results that may sound contradictive One concerns the Feshbach-Fano partitioning in scattering theory second the consequences of the domain restrictions of the scaling operator and the contractive semigroup properties of the generator of time evolution and third the manifestation of Jordan blocks and their significance with the trial wave function Ψ(z) = (I + T(z)H)φ and the bracketing function given by h(z) = ⟨φ|H + HT(z)H|φ⟩ noticing that an eigensolution to the differential equation for z = Eb ∈ σP is obtained from The name “bracketing function” refers to the bracketing property of h(z) inserting an upper bound to Eb in the function yields a lower bound and vice versa Note that Ψ(z) is subject to intermediate normalization and therefore not normalized It is interesting to document what happens when z→E ∈ σAC(H) celebrating the principal value relation discussed in Eq demonstrating that h(E) is now a complex function with a negative imaginary part Summarizing we have h+(E) = E−iε = E−iΓ/2, where Γ is the (Fermi Golden Rule) level width reciprocally related to the life time τ. To find a complex resonance eigenvalue, fulfilling h(εs) = εs = Es−iΓs/2 one needs to solve the equations (Micha and Brändas, 1971) It is straightforward to extend partitioning technique to a reference space of arbitrary high dimensions of square integrable basis functions The Feshbach-Fano method aims at solving the resonance problem by defining the effective operator Heff = OHO + OHT(z)HO where Oprojects onto a given set of square integrable functions Despite its main capabilities there are two major drawbacks as regards the definition of complex resonances on the so-called unphysical Riemann sheet of the complex energy plane They are (i) the resonance should be independent of the choices of O and P (ii) the real and the imaginary parts must be continued analytically to satisfy Eq The Balslev-Combes theorem guarantees a more general spectral classification including the existence of resonances corresponding to the analytic continuations Furthermore higher order poles of the resolvent are intrinsically revealed by the structural properties of the bracketing function h(z) One of the most intricate consequences of the negentropic entanglement is the transformation B that organizes the thermally excited density matrix to its classical canonical form represents a primary thermo-qubit of fundamental physically objective interactions-correlations extends to the genetic cellular machinery and to subjective semiotic communications with semantic content and ultimately to consciousness and human intelligence We have not mentioned Erwin Schrödinger’s early efforts in 1944, comparing life with its quantum molecular information stored in an aperiodic crystal, see the Canto edition (Schrödinger, 1992). The historic development from Lamarck, via Darwin and Schrödinger to Monod (1971), has recently been reviewed by Maruani (2020, 2021) while attempting to find a biological Lagrangian operator to define a suitable fitness functional to reach a consistent evolution functional performing deconvolution using Fourier Transforms the pitch waves built from low-frequency quasi-musical waves being transcriptions of nucleic acid or protein patterns are assigned a higher level informational quality compared to the thermally related oscillations The music of the genes might perhaps in some way correlate with the steady state negentropic coherence of the correlated dissipative structures discussed above the derivation of these coherent structures and their properties has not been at the center of attention here We refer to the personal reference list below for more details Instead our focus has been concentrated on the particularities of the Fourier-Laplace transform the transform relates conjugate observables The adaptation to the underlying structure of linear algebra in concert with rigorous extensions to incorporate non-normal operators and their generalized spectral properties add structural regularity and novel irreducible symmetries to the formulation The Fourier-Laplace resolvent-propagator relationship simplifies to mnemotechnic algebraic reductions mirroring their conjoined spectral representations commensurate with their original conjugate connection as detailed earlier earlier in the section “The Fourier-Laplace Transform.” dedicated to Sir Karl Popper on account of his ninetieth birthday concludes with an appraisal that the whole of quantum chemistry might consistently be built from four simple axioms subject to a positive definite binary product Even if physical interpretations cannot have a direct physical reality belonging to a more or less “contentless” mathematical structure there is the Gödelian branching point of abstract theories Although not explicitly spelled out in the thesis the possibility of a non-positive definite scalar product and an extension to include Einstein’s theory of relativity is ambient and captivating The original contributions presented in the study are included in the article/supplementary material further inquiries can be directed to the corresponding author/s The author confirms being the sole contributor of this work and has approved it for publication The author declares that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations Any product that may be evaluated in this article or claim that may be made by its manufacturer is not guaranteed or endorsed by the publisher been supported by the Swedish Natural Science Research Council the Swedish Foundation for Strategic Research 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This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY) distribution or reproduction in other forums is permitted provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited in accordance with accepted academic practice distribution or reproduction is permitted which does not comply with these terms *Correspondence: Erkki J. Brändas, ZXJra2kuYnJhbmRhc0BrZW1pLnV1LnNl Disclaimer: All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations Any product that may be evaluated in this article or claim that may be made by its manufacturer is not guaranteed or endorsed by the publisher 94% of researchers rate our articles as excellent or goodLearn more about the work of our research integrity team to safeguard the quality of each article we publish Laplace Interventional The round was led by a non-disclosed global strategic investor The company intends to use the funds to expand operations and its R&D efforts Laplace Interventional develops a device that aims to offer an improvement to the quality of life to patients worldwide diagnosed with Tricuspid Regurgitation (TR) It is providing a prosthetic valve that is delivered through a minimally invasive procedure not requiring an open-heart surgery and thereby reducing future complications in patients The company also announced the addition of Ned Scheetz